A flagpole is perpendicular to the horizontal but iis on a slope that rises 10 degrees from the horizontal. the pole casts a 43-foot shadow down the slope and angle of elevation of the sun measured from the slope is 36 degrees. how tall is the pole?

Answers

Answer 1
36 ft. The flagpole and the shadow create a triangle with the angle at the base of the flagpole being 100 degrees. The angle at the end of the shadow being 36 degrees and the angle at the top of the flagpole is 180-100-36 = 44 degrees. We know the length of the shadow is 43 feet, and using the law of sines, we get sin(44)/43 = sin(36)/X where X is the height of the flagpole. So let's solve for X sin(44)/43 = sin(36)/X Xsin(44)/43 = sin(36) Xsin(44) = 43sin(36) X = 43sin(36)/sin(44) X = 43 * 0.587785252/0.69465837 X = 36.38445446 Rounding to 2 significant figures, gives us a height of 36 ft.
Answer 2
Final answer:

The height of the flagpole can be determined using the tangent function of geometry. It will be obtained by multiplying the tangent of 46 degrees with the length of shadow which is 43 feet.

Explanation:

This problem is a case of trigonometry, specifically dealing with the tangent of an angle. Since the pole is perpendicular to the horizontal, it forms a right triangle with the ground and the shadow. The angle of the sun and the slope of the ground at the base of the shadow form a combined angle of 46 degrees (36 degrees from the sun and 10 degrees from the slope).

According to the definition of the tangent function, which is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, we can write:

tan(46 degrees) = height of flagpole / length of shadow

Here, the shadow length is 43 feet. We can now solve for the height of the flagpole:

Height of flagpole = tan(46 degrees) * 43 feet

This calculation will give you the approximate height of the flagpole.

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Related Questions

____ is the rate of change in velocity.

Answers

The answer is Acceleration.

Answer:

Acceleration is the rate of change in velocity.

Explanation:

Velocity,v-

"It is the change in a body's displacement or change in speed,d over the time,t."

v=s/sec,Units: meter/second.

Acceleration,a-

"When the body has a varying velocity,v across a given time frame,t is called as the acceleration,a."

a=v/t,Unit: meter/second².

A flat surface of area 3.20 m2 is rotated in a uniform electric field of magnitude e = 6.20 x 105 n/c. determine the electric flux through this area (a) when the electric field is perpendicular to the surface and (b) when the electric field is parallel to the surface.

Answers

The electric flux on a surface of area A in a uniform electric field E is given by 
φ = EA cos θ
where θ = the angle between the directions of E and a normal vector to the surface of the area.
See the diagram shown below.

When the electric field is perpendicular to the surface, then θ = 0°, and
φ = EA cos(0°)  = (6.20 x 10⁵ N/C)*(3.2 m²) = 1.984 x 10⁶ (N-m²)/C

When the electric field is parallel to the area, then θ = 90°, and
φ = EA cos(90°) = 0

Answer:
(a) 1.984 x 10⁶ (N-m²)/C
(b) 0

The electric flux through this area:

When the electric field is perpendicular to the surface= 1.98 x 10⁶ Nm²/CWhen the electric field is parallel to the surface= 0

What is Electric flux?

This is defined as the number of electric field lines that intersect a given area.

Electric flux(φ)= EA cos θ

where θ = angle between the directions of E and A is the surface area.

When the electric field is perpendicular to the surface,  θ = 0°.

φ = EA cos(0°)  = (6.20 x 10⁵ N/C)*(3.2 m²) × 1 = 1.984 x 10⁶ Nm²/C

When the electric field is parallel to the area, then θ = 90°, and

φ = EA cos(90°) = 0 as result of cos 90° being zero.

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A certain brand of hot dog cooker applies a potential difference (120 v) to opposite ends of the hot dog and cooks by means of the joule heat produced. if 60 kj is needed to cook each hot dog, what current is needed to cook four hot dogs simultaneously in 3.0 min?

Answers

Final answer:

To cook four hot dogs simultaneously with a 120 V potential difference in 3.0 min, the total energy needed is 240,000 J, which results in a required power of 1,333.33 W. This yields a necessary current of approximately 11.11 A.

Explanation:

To determine the current needed to cook four hot dogs simultaneously in 3.0 minutes using a potential difference of 120 V, we must first calculate the total energy required to cook all four hot dogs. Since it takes 60 kJ to cook one hot dog, the total energy for four hot dogs is calculated by multiplying 60 kJ by 4, which gives us 240 kJ or 240,000 J (since 1 kJ = 1000 J).

Next, to find the amount of time in seconds, we convert 3.0 minutes into seconds by multiplying it by 60 seconds/minute, giving us 180 seconds. Now we can use the formula for power (P = E/t), which is the energy (E) divided by time (t). With this, we can calculate the power required to cook the hot dogs:

P = E/t = 240,000 J / 180 s = 1,333.33 W

Finally, knowing the voltage (V) and the power (P), we can use the relationship P = V * I, where I is the current, to find the current required:

I = P/V = 1,333.33 W / 120 V = 11.11 A

Thus, the current needed to cook four hot dogs simultaneously in 3.0 min with a 120 V potential difference is approximately 11.11 A.

Question help a smoke jumper jumps from a plane that is 19001900 ft above the ground. the function h equals negative 16 t squared plus 1900h=−16t2+1900 gives the​ jumper's height h in feet during the free fall at t seconds.
a. how long is the jumper in free fall if the parachute opens at 1000​ ft?
b. how long is the jumper in free fall if the parachute opens at 940940 ​ft?
c. what is a reasonable domain and range for the function​ h?

Answers

A. Starting at 1900 ft, so if he opened his parachute at 1000 ft, therefore this means that h = 1000:

 h = - 16t^2 + 1900

1000 = - 16 t^2 + 1900

t = 7.5 seconds

 

B. So we have h = 940

940 = - 16 t^2 + 1900

t = 7.746 seconds

 

C. The domain will always be time and since time starts at zero, so it is the initial point for h:

h =  - 16(0)^2 + 1900

h = 1900

 

We also know that at lowest point h = 0, so the last value of t is:

0 =  - 16 t^2 + 1900

t = 10.897 seconds

Therefore

domain: (0, 10.897)

range: (1900, 0)

Final answer:

To determine the free fall time of a smoke jumper, the equation h(t) = -16t² + 1900 is solved for the times when the height equals 1000 ft and 940 ft, respectively. The domain of the function is the time from the jump until the ground is reached, and the range is from 0 to 1900 ft.

Explanation:

To solve the problem of determining how long a smoke jumper is in free fall, we need to find the time t when the function h(t) = -16t² + 1900 is equal to a specific height. This function represents the height of the jumper above the ground at any given time t during free fall, assuming gravity's acceleration is -32 ft/s² (in the opposite direction to the velocity of the jumper).

Part A: Parachute Opens at 1000 ft

We need to solve the equation -16t² + 1900 = 1000 for t. This simplifies to 16t² = 900, and by taking the square root after dividing both sides by 16, we find the time t where the height is 1000 ft.

Part B: Parachute Opens at 940 ft

We need to solve the equation -16t² + 1900 = 940 for t. This is a quadratic equation in standard form, so we can use the quadratic formula to find the positive value of t that gives us a height of 940 ft.

Part C: Reasonable Domain and Range for h

The domain of the function is the set of all possible times from when the jumper exits the plane until it reaches the ground. The range would be the set of heights from the ground level (0 ft) up to the initial height (1900 ft).

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A jogger runs north for 3 miles. If this took 2 hours, what is the joggers average velocity? Draw a properly labeled diagram.

Answers

The jogger runs 3 miles in 2 hours.
If graphed, the x-axis would be time and the y-axis would be miles jogged
Let's think of this in terms of slope (rise/run). The slope, and the average velocity, would be 3miles/2hours, or 1.5 miles/hour. 

We can graph this as a diagram using the slope-intercept form y=mx +b
Remember that m is the slope, 1.5, and b is the y-intercept. In this case, b=0 since she starts from a position of zero.
y= 1.5x
This is the equation that you would graph in the diagram.
Here are a couple of points of interest to help with the graphing:
(0,0), (1,1.5), (2,3), (3,4.5)

A 5.50 kg object initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object's velocity at t=6s?
https://session.masteringphysics.com/problemAsset/2308967/2/knight_Figure_05_25.jpg

Answers

Final answer:

Velocity of an object can be determined from the time-varying force. By using Newton's second law and integrating the force with respect to time, we can find the total impulse applied to the object. Divide the total impulse by the mass of the object to find its velocity at t=6 seconds.

Explanation:

The question is related to the concept of Force and Acceleration in Physics.

To determine the velocity of the object, we need to recall Newton's second law, F = ma, which states that the force applied to an object equals its mass times its acceleration. Therefore, we can find the acceleration by dividing the force by the mass of the object. Velocity is the integral of acceleration with respect to time.

From the given physics problem, we need to calculate the area under the force-time graph (which gives the impulse) from t=0 to t=6s, then divide by the object's mass to find the object's velocity.

V=(Δp)/m, where Δp is impulse and m is mass. Impulse can be calculated as the area under the force-time graph.

Integrate the areas under the force-time graph from 0 to 6 seconds to find total impulse. Then divide this total impulse by the mass of the object to find the final velocity at t=6s.

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Final answer:

To find the object's velocity at t=6s, calculate the area under the force-time curve and then divide by the object's mass.

Explanation:

Given that the object is initially at rest, the velocity at t=6s can be found using the area under the force-time curve on the given figure. This area represents the impulse applied to the object, and it can be related to the change in momentum and thus velocity through the equation Impulse = Change in momentum = mΔv, where m is the mass and Δv is the change in velocity. Without the figure, we cannot provide a numerical value for the velocity; however, the student should calculate the area under the force-time curve up to t=6 s, and divide it by the object's mass (5.50 kg) to find out the final velocity.

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energy released by fusion in the sun is initially in the form of

Answers

Energy released by fusion in the sun is initially in the form of gamma rays.

Gamma rays arise from the radioactive decay of nuclei. They are penetrating electromagnetic radiations consisting of very high energy photons.
Gamma rays are ionizing radiations and have very serious biological dangers and hazards (due to their ability of ionizing the atoms).

Answer:

Gamma rays

Explanation:

Trust me bro

A jet of water issuing from a stationary nozzle at 10 m/ s(aj = 0. l m2) strikes a turning vane mounted on a cart as shown. the vane turns the jet through angle fj = 40°. determine the value of m required to hold the cart stationary

Answers

Final answer:

To calculate the mass 'm' required to hold the cart stationary, you need to consider the principles of linear momentum as the water jet imparts momentum to the vane and causes a reaction force. Assuming the water jet changes its direction by 40 degrees, this means that the horizontal component of its momentum changes. The mass to hold the cart stationary must produce a weight that can counteract the force exerted by the stream of water.

Explanation:

To determine the mass m required to hold the cart stationary, you require knowledge of the principles of linear momentum. Since the water jet imparts momentum to the vane when it strikes it and changes its direction, this reaction force can cause the cart to move if not balanced. According to Newton's second law, in equilibrium the net force on an object is zero. Let's assume the water jet changes direction by 40 degrees, meaning the horizontal component of its velocity, and therefore its momentum, changes. The rate of change of momentum is given by the mass flow rate times the change in velocity, which equals the force exerted on the vane. The mass to hold the cart stationary must produce a weight force that counteracts this, so m = F/g, where F is the force exerted by the stream of water and g is the acceleration due to gravity. Actual calculations would require specific values for the mass flow rate of the water jet and the nozzle area.

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A weight lifter picks up a barbell and 1. lifts it chest high 2. holds it for 30 seconds 3. puts it down slowly (but does not drop it). rank the work w that the weight lifter does during each of these three operations. label the quantities as w1, w2, and w3. (hint: think about how work is defined in terms of who is applying forces and who is doing work.) w3 = w2 = w1 w3 = w1 > w2 w2 > w1 > w3 none of the above w1 > w2 > w3 w3 > w2 > w1 w2 > w3 > w1 justify your ranking order.

Answers

1. lifts it chest high

The force opposing to this action is the force due to gravity. Therefore the work done is:

W1 = m g d

where m is mass of the barbell, g is gravity and d is displacement

 

2. holds it for 30 seconds

Work is a product of force and displacement, since there is no displacement, therefore work done is zero.

W2 = 0

 

3. puts it down slowly

If the barbell was dropped, then it would simply be a free fall. But since it was not, so the work done here is also equal to the weight of the barbell times displacement:

W3 = m g d

 

We can see that W1 = W3, and since W2 = 0, therefore the answer is:

w3 = w1 > w2

Final answer:

In the context of a weight lifter lifting, holding, and lowering a barbell, work is done during the lifting (w1) and lowering (w3) phases due to the movement over a distance against a force. Holding the barbell stationary (w2) involves no work as there is no displacement. Thus, ranking in terms of work done would be w1 = w3 > w2, assuming equal force and displacement for lifting and lowering.

Explanation:

To answer the student's question effectively, we need to apply the concept of work from physics. Work is defined as the transfer of energy, and mathematically, it is the product of force and displacement in the direction of the force. Thus, work requires both force and movement in the direction of that force.

w1: Lifting the barbell chest high involves applying a force that moves the weights over a distance, hence work is done here.

w2: Holding the barbell in place does not involve movement. As there is no displacement, no work is done in the physics sense during this action. Therefore, w2 is zero.

w3: Lowering the barbell slowly back down also involves work since force is applied in controlling the movement against gravity over a distance.

Given the above understanding, w1 and w3 involve doing work, with w2 being zero due to no displacement. However, without specific values for force and displacement, it's challenging to directly compare the magnitude of work done between w1 and w3 precisely.

Conceptually, if the distance and force applied are the same for lifting and lowering, then w1 = w3 > w2. This scenario assumes identical distances and forces are applied in lifting up and lowering down the weights,

Rank the nonmetals in each set from most reactive (1) to least reactive (3). Bromine: Chlorine: Iodine:

Answers

The most reactive element of this list is Chlorine, the next most reactive is bromine, and the least reactive is iodine.

All of these three elements are group 7 elements in the periodic table. It is known that the reactivity of group 7 elements decreases down the group. The most reactive element in this group is Flourine  with reactivity decreasing down the group.

The reason for this decrease in reactivity is that as you go down the group, the distance between the positive nucleus that attracts valence electrons increases, decreasing the electrostatic attraction between the nucleus and the outer electrons. The other reason is that the electrons in lower energy levels closer to the nucleus repel and shield the electrons in the outermost shell or energy level of the atom.

Chlorine>Bromine>Iodine.

Answer: The order of reactivity of non-metals from most reactive to least reactive is [tex]\text{Chlorine}>\text{Bromine}>\text{Iodine}[/tex]

Explanation:

Reactivity of a non-metal is defined as the tendency of an element to gain electrons. The reactivity increases as we move across a period and it  decreases as we move down the group.

When the size of an element increases, the valence electrons gets away from the nucleus and the tendency of an element to gain electrons decreases.

In a group, the size of an element increases because there is an addition of new shell and electron is added in that shell.

The given elements belong to the same group which is Group 17.

Chlorine has the smallest size, then bromine and then iodine.

Hence, the order of reactivity of non-metals from most reactive to least reactive is [tex]\text{Chlorine}>\text{Bromine}>\text{Iodine}[/tex]

The best analogy for light energy is: ____.â

a. âthe propagation of waves in the ocean

b. âa rabbit hoping along a path

c. âraindrops falling from the sky

d. âa plane flying through the air

Answers

I believe that the correct answer for this question is:

a. the propagation of waves in the ocean

 

This is because like waves in form, light has two polarities in shape. It actually forms a sinusoidal wave like a wave in the ocean.

Final answer:

Light energy is best likened to the propagation of waves in the ocean (option a) because light exhibits wavelike properties, such as frequency and wavelength, similar to the behavior of ocean waves.

Explanation:

The best analogy for light energy is the propagation of waves in the ocean (option a). This is because light behaves as both a wave and a particle, a concept known as wave-particle duality. Light and other forms of electromagnetic radiation move through a vacuum at a constant speed, c, and demonstrate wavelike properties such as frequency (ν) and wavelength (λ), which relate to the energy of light. Similar to ocean waves that propagate across the sea, light waves travel through space, and their interference patterns can be observed when passing through narrow slits, analogous to water waves interacting with barriers.

"on a snowy day, max (mass = 15 kg) pulls his little sister maya in a sled (combined mass = 20 kg) through the slippery snow. when max pulls on the sled with 12 n of force, directed at an angle of 15° above the ground, how much work does max do on the sled as he pulls his sister 25 m in the snow?"

Answers

Refer to the diagram shown below.

The angle θ = 15° relative to the direction of motion.
Therefore the force acting in the direction of motion is
(12 N) cos(15°) = 11.59 N

By definition,
Work = Force x Distance.
Therefore work done in moving the sled by 25 m is
Work = (11.59 N)*(25 m) = 289.8 J

Answer: 289.8 J

Consider the coolant circuit in a standard automotive engine that produces a power output of 100 kw. the liquid coolant (which is usually a 50%-50% mixture of ethylene glycol and water) has a specific heat of 3.3 kj/kg-k. if the coolant inlet temperature is 70°c and heat transferred to the coolant at the maximum power operating condition is 28% of the power output, find the minimum mass flow rate of coolant required to keep the coolant exit temperature at or below 90°c.

Answers

The minimum mass flow rate of coolant required to keep the coolant exit temp at or below 90 degrees C is at a rate of 35%. To find this you need to take the temperature times the power output to find this answer.

You are a pirate working for dread pirate roberts. you are in charge of a cannon that exerts a force 10000 n on a cannon ball while the ball is in the barrel of the cannon. the length of the cannon barrel is 2.44 m and the cannon is aimed at a 45◦ angle from the

Answers

Answer: Let m = mass of cannon Then 10000 = ma a = 10000/m v^2 = u^2 + 2as v^2 = 0 + 2as 84^2 = 2(2.21)(10000/m) 84^2 m = 4.42(10000) m = 6.264172336 = 6.26 kg Part 2 Range = u^2sin(2x38)/g = 84^2sin(76)/9.8 = 698.6129229 = 698.6 m

Write at least name of five devices which work under the principles of Physics.
e.g: ultrasound machines .

Answers

Devices which work under the principles of physics include but are not limited to ultrasound machines, sonar transducers, computed tomography scan, magnetic resonance imaging, positron emission tomography, and neuroimaging.

What is the range of atomic numbers of elements whose isotopes are all radioactive

Answers

The neutron-to-proton ratio is higher for carbon-14; extra neutrons in carbon-14 make the nucleus less stable and more likely to emit particles.

An object is at x = 0 at t = 0 and moves along the x axis according to the velocity–time graph in Figure P2.50.(a) What is the object’s acceleration between 0 and 4.0 s? (b) What is the object’s acceleration between 4.0 s and 9.0 s? (c) What is the object’s acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (f) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s?

Answers

Final answer:

Without the given Figure, precise answers can't be provided. Generally, acceleration is calculated as the slope of the velocity-time graph, and position is provided by the integral (or area under the graph) of the velocity-time graph. The object's speed is lowest when its velocity is minimal, and it is farthest from x= 0 when the accumulated area under the graph is maximum.

Explanation:

Unfortunately, without the given Figure P2.50, it's impossible to accurately calculate the object's acceleration, position at different times, or specify when the object is moving with the lowest speed or is farthest from x = 0.

However, I can explain the general method to determine this information. Acceleration is calculated from the slope of the velocity-time graph. The position is generally obtained by calculating the area under the velocity-time graph from the beginning of the interval to the end. The object is moving with the lowest speed when the velocity is lowest (either positively or negatively). The object is farthest from x = 0 when the accumulated area under the velocity-time graph (counting areas below the time axis as negative) is a maximum. The total distance the object has moved is equal to the absolute sum of all the areas (both positive and negative) on the velocity-time graph.

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A 2300 kg truck has put its front bumper against the rear bumper of a 2500 kg suv to give it a push. with the engine at full power and good tires on good pavement, the maximum forward force on the truck is 18,000 n. you may want to review ( pages 145 - 146) . part a what is the maximum possible acceleration the truck can give the suv? express your answer to two significant figures and include the appropriate units.

Answers

From the Newton’s First Law, we can see that acceleration is simply the ratio of Force over mass. In this case, mass is the sum of the mass of each car, that is:

mass = 2300 kg + 2500 kg = 4800 kg

 

So the formula is:

acceleration = Force / mass

acceleration = 18,000 N / 4800 kg

acceleration = 3.75 m/s^2

 

In 2 significant figures:

acceleration = 3.8 m/s^2

The maximum possible acceleration the truck can give the SUV is about 3.8 m/s²

[tex]\texttt{ }[/tex]

Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

mass of truck = m = 2300 kg

mass of SUV = M = 2500 kg

maximum forward force = F = 18 000 N

Asked:

maximum possible acceleration = a = ?

Solution:

We will use Newton's second law of motion to solve this problem :

[tex]\Sigma F = ( m + M )a[/tex]

[tex]F = ( m + M ) a[/tex]

[tex]a = F \div ( m + M )[/tex]

[tex]a = 18000 \div ( 2300 + 2500 )[/tex]

[tex]a = 18000 \div 4800[/tex]

[tex]a \approx 3.8 \texttt{ m/s}^2[/tex]

[tex]\texttt{ }[/tex]

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[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

Braces are important because they __________.
A.
protect you from impacts
B.
provide support for a weakened joint
C.
apply pressure to cuts and scrapes
D.
keep your joints cool and comfortable

Answers

I believe the answer is B) Provide support for a weakened joint. HOPE this helps

The correct answer would be B. To provide support for a weakened joint. I just took the test!

_____ cycle nutrients from dead organisms back Into the soil, Where it becomes available for plants.

Answers

The correct answer would be DECOMPOSITION. :)

Answer: decomposers

Explanation: they are microorganisms that are responsible for the decay and break down of dead organism into nutrients that are available for the plant

Two solutions, initially at 24.60°C, are mixed in a coffee cup calorimeter (Ccal = 15.5 J/°
c. When a100.0 mL volume of 0.100 M AgNO3 solution is mixed with a 100.0 mL sample of 0.200 M NaClsolution, the temperature in the calorimeter rises to 25.30°
c. Determine the ?H°rxn for thereaction as written below. Assume that the density and heat capacity of the solutions is the sameas that of water.NaCl (aq) + AgNO3(aq) ? AgCl(s) + NaNO3(aq) ?H°rxn = ?

Answers

The solution is as follows:

Since the mass of the calorimeter is given, let's take the heat effects of the calorimeter as negligible.

Compute for sensible heat from 24.60°C (297.6 K) to 298 K. The heat capacity of water is 4.18 J/g·K.
ΔH₁ = ∫[(0.1 mol/L AgNO₃)(0.1 L)(169.87 g/mol AgNO₃)(4.18 J/g·K)dT + (0.2 mol/L NaCl)(0.1 L)(58.44 g/mol NaCl)(4.18 J/g·K)dT]
Take the integral from limits 297.6 K to 298.8 K(25.30°C).
ΔH₁ = 4,289.12 J

Compute for the heat of reaction at room temperature:
ΔH₂ = ∑(Heat of formation of products*stoichiometric coefficient) - ∑(Heat of formation of reactants*stoichiometric coefficient)
ΔH₂ = [(-127 kJ/mol AgCl)(1 mol) + (-467 kJ/mol NaNO₃)(1 mol)] - [(-123.02 kJ/mol AgNO₃)(1 mol) + (−407.27 kJ/mol NaCl)(1 mol)]
ΔH₂ = -63.71 kJ or -63,710 J

Thus,
ΔHrxn = ΔH₁ + ΔH₂ = 4,289.12 J + -63,710 J
ΔHrxn = 59,420.88 J or 59.42 kJ

Which statement is true about the atoms in helium gas?
A. They have strong attractions to one another.
B. They are not closely packed.
C. They are arranged in an orderly pattern.
D. They travel in circular paths.

Answers

The answer is B :) I hope this helps
B.
They are not closely packed.

You observe a very large and very hot star in the constellation orion. on the same night, you observe another star in orion that is much smaller but has the same temperature. which star is more luminous?

Answers

The bigger one as the luminosity has a direct exponential relationship with R of the star so the star which has more surface area will be more luminous than the smaller one

You are building a shelf at home. As you sand the wood, dust floats into the air. The air and dust from sanding create which of the following?
A) A solution
B) A pure substance
C) A colloid
D) A suspension

Answers

The answer would be option C.

Solution, colloids and suspension are distinctive sort of mixtures.

Air and dust are not solutions.

There is an uncertainty about whether air and dust form a colloid or a suspension.

Colloids don't partitioned, while suspension's segments do isolated. In the event that the residue is sufficiently little it will stay in air sufficiently long to be considered  a colloid for all efects.

At that point, the most satisfactory assessment is that the  blend of air and dust is a colloid.

So, option c. a colloid is the answer.

Colloid is a heterogeneous mixture in which molecule estimate is middle of genuine arrangement and suspension. Smoke from a fire is case of colloidal framework in which small particles of strong buoy in air. Some basic cases of colloids are jewel stones, smoke, cheddar, drain, cleanser foam and froth.

explain why an iron nail that is stuck to a magnet can pick up a paperclip

Answers

It will be able to pick up a magnet because the magnetic force will be strong on it, which will allow it to pick up many things.

Answer:

because its metal

Explanation:

A cart for hauling ore out of a gold mine has a mass of 413 kg, including its load. the cart runs along a straight stretch of track that is sloped 4.69° from the horizontal. a donkey, trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 4.10 × 102-n force for a distance of 175 m by means of a rope that is parallel to the ground and makes an angle of 14.3° with the track. the coefficient of friction for the cart\'s wheels on the track is 0.0163. use g = 9.81 m/s2. find the work that the donkey performs on the cart during this process.

Answers

Final answer:

The total work done by the donkey to pull the cart out of the mine is calculated by finding the work done against gravity and friction. The work done against gravity is 37012.5 J and against friction is 11637.5 J. The sum, and thus the total work done, is 48650 J.

Explanation:

To find the total work done by the donkey, we need to consider the work done against both the gravitational force and the frictional force. The total work done will be equal to the sum of these two works.

Firstly, let's find the work done against the gravitational force. The force of gravity acting on the cart can be found using the equation F = m x g x sin(θ), where m is the mass of the cart, g is the acceleration due to gravity, and θ is the angle of the slope. Therefore, F = 413 kg x 9.81 m/s² x sin(4.69°) = 211.5 N. The work done against gravity is then W = F x d, where d is the distance the cart is hauled, resulting in W = 211.5 N x 175 m = 37012.5 J.

Secondly, let's calculate the work done against friction. The frictional force can be found using the equation F = μ x m x g x cos(θ), where μ is the coefficient of friction. Therefore, F = 0.0163 x 413 kg x 9.81 m/s² x cos(4.69°) = 66.5 N. The work done against friction is again W = F x d, giving W = 66.5 N x 175 m = 11637.5 J.

The total work done by the donkey is then the sum of these two works, giving 37012.5 J + 11637.5 J = 48650 J.

Learn more about Work done here:

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What is the pressure of the gas in this mercury manometer if h = 89 mm and atmospheric pressure is 775 mmhg?

Answers

The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg

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Further explanation

The basic formula of pressure that needs to be recalled is:

Pressure = Force / Cross-sectional Area

or symbolized:

[tex]\large {\boxed {P = F \div A} }[/tex]

P = Pressure (Pa)

F = Force (N)

A = Cross-sectional Area (m²)

Let us now tackle the problem !

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In this problem , we will use Ideal Gas Law as follows:

Given:

height of mercury column = h = 89 mm

atmospheric pressure = Po = 775 mmHg

Asked:

the pressure of the gas = P = ?

Solution:

We will use Hydrostatic Pressure formula to solve this problem as follows:

[tex]P = Po + \rho g h[/tex]

[tex]P = 775 \texttt{ mmHg} + 89 \texttt{ mmHg}[/tex]

[tex]P = 864 \texttt{ mmHg}[/tex]

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Conclusion :

The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg

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Learn moreMinimum Coefficient of Static Friction : https://brainly.com/question/5884009The Pressure In A Sealed Plastic Container : https://brainly.com/question/10209135Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454

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Answer details

Grade: High School

Subject: Physics

Chapter: Pressure

A man starts walking north at 2 ft/s from a point p. five minutes later a woman starts walking south at 6 ft/s from a point 500 ft due east of p. at what rate are the people moving apart 15 min after the woman starts walking? (round your answer to two decimal places.)

Answers

7.98 ft/second You can create a right triangle to express the distance between the man and the woman. One leg of the triangle remains constant at 500 ft. (If you think about problem, the east/west separation between the man and the woman will remain constant. And that starts at 500 feet). So the other leg of the triangle needs to be calculated. The man is walking north for 20 minutes (5 minutes before the woman starts and 15 minutes after the woman started), so his distance north is 20 * 60 * 2 = 2400 ft. The woman has been walking south for 15 minutes, so her distance south is 15 * 60 * 6 = 5400 ft. So their exact north south separation is 2400 + 5400 = 7800 feet. And finally, the north south separation between the man and woman continues to increase at the rate of 8 ft per second. Now let's express the distance between the man and woman at time x where x is the number of seconds from where the woman has already walked for 15 minutes. That would be sqrt((7800 + 8x)^2 + 500^2) sqrt((7800 + 8x)^2 + 250000) Since we're looking for rate of change, that screams "first derivative". So let's calculate the first derivative. sqrt((7800 + 8x)^2 + 250000) = 1/2((8x + 7800)^2 + 250000)^(1/2) * d/dx((8x + 7800)^2 + 250000) = (d/dx((8x + 7800)^2 + d/dx(250000))/(2*sqrt((8x+7800)^2 + 250000)) = (2(8x + 7800) * d/dx(8x + 7800))/(2*sqrt((8x+7800)^2 + 250000)) = (8 * d/dx(x) + d/dx(7800))(8x + 7800)/sqrt((8x+7800)^2 + 250000) = 8(8x + 7800)/sqrt((8x+7800)^2 + 250000) = (64x + 62400)/sqrt((8x+7800)^2 + 250000) Now let's calculate the value of the first derivative at x=0, so (64x + 62400)/sqrt((8x+7800)^2 + 250000) =(64*x + 62400)/sqrt((8*0+7800)^2 + 250000) =62400/sqrt(7800^2 + 250000) =62400/sqrt(60840000 + 250000) =62400/sqrt(61090000) =62400/7816.009 =7.983613927 So the rate at which the man and woman are moving away from each other is 7.98 ft/second.

Final answer:

The question requires calculating the rate at which two individuals are moving apart by using their speeds and applying principles of kinematics. It involves converting time into seconds, calculating the total distance each person traveled, and then finding the distance between them 15 minutes after the woman starts walking.

Explanation:

The question involves calculating the rate at which two people are moving apart from each other, given their speeds and initial positions. It requires an understanding of relative motion and the ability to apply the principles of kinematics to solve real-world problems.

The man starts walking north from a point P at 2 ft/s, and five minutes later, a woman starts walking south from a point 500 ft due east of P at 6 ft/s. To find the rate at which they are moving apart 15 minutes after the woman starts walking, we must consider the distance each has traveled in their respective directions by that time.

The man walks for a total of 20 minutes (15 minutes after the woman starts), while the woman walks for 15 minutes. The distance the man walks is 2 ft/s × 1200 s = 2400 ft and the woman walks 6 ft/s × 900 s = 5400 ft. Since they start 500 ft apart east to west, and move in north-south directions, the distance between them after 15 minutes can be found using the Pythagorean theorem: √(24002 + (500 + 5400)2) = √(5760000 + 32400000) = √38160000, which gives the distance between them. The rate of separation is the derivative of this distance with respect to time, assuming constant speeds.

A field mouse trying to escape a hawk runs east for 3.5 m , darts southeast for 4.5 m , then drops 2.0 m down a hole into its burrow. part a what is the magnitude of the net displacement of the mouse?

Answers

Let the mouse start at point 0, and making the final point x = 3.5 + 5.0*cos(-45) = 7.04m y = 0 + 5.0*sin(-45) = -3.54m z = -1.0m 
This makes the final point equal to (7.04, -3.54, -1.0)m 
And the net displacement is:d = sqrt(x^2 + y^2 + z^2) 7.9m = sqrt( 7.04^2 + 3.54^2 + 1.0^2)
Answer is 7.9m

Make a general statement concerning how large bodies of water affect the climate of nearby coastal communities.

Answers

Final answer:

Large bodies of water like oceans contribute to more moderate climates in coastal areas due to their thermal properties. Global warming is leading to sea level rise through glacial meltwater and thermal expansion, which affects coastal communities. Oceans also impact global weather patterns, including precipitation and climate, due to heat transport and storage.

Explanation:

Large bodies of water, like oceans and large lakes, have a significant impact on the climate of coastal communities. The thermal properties of water, which heats and cools more slowly than land, lead to moderate climates in coastal areas. These regions typically experience smaller temperature fluctuations both daily and seasonally, in comparison to interior landmasses. Additionally, global warming is causing sea levels to rise due to glacial meltwater and thermal expansion, further complicating the climate effects on coastal communities. The warmth of oceanic currents is transported across vast distances, affecting the weather patterns far inland as well.

As the planet warms, the rise in sea levels can lead to the inundation of shorelines, which poses challenges for coastal cities. This rising sea level can increase the impact of storm surges, putting infrastructure at risk. The warming of oceans also contributes to the continued melting of polar ice, which can disrupt the supply of freshwater and bring about long-term changes to global precipitation and climate patterns. Hence, the oceans play a crucial role in moderating global climate and the long-term implications of climate change.

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