A 30-kg chandelier hangs from a ceiling on a vertical 4.4-m-long wire. what horizontal force would be necessary to displace its position 0.16 m to one side?

Answers

Answer 1
Refer to the diagram shown below.

m = 30 kg, the mass of the chandelier
W = mg = (30 kg)*(9.8 m/s²) = 294 N, the weight of the chandelier

Let T = tension in the wire.
Let F = the horizontal force required to displace the chandelier by 0.16 m.
The angle that the wire makes with the vertical is given by
sin(θ) = 0.16/4.4 = 0.0364
θ = sin⁻¹ 0.0364 = 2.084°

For equilibrium,
T cos(θ) = W
0.9993T = 294
T = 294.195 N

Also,
F = Tsin(θ) = 294.195*0.0364 = 10.709 N

Answer: 10.7 N
A 30-kg Chandelier Hangs From A Ceiling On A Vertical 4.4-m-long Wire. What Horizontal Force Would Be
Answer 2

The horizontal force would be necessary to displace its position 0.16 m to one side will be 10.7 N.

What is horizontal force?

Horizontal force is defined as a force applied in a direction parallel to the horizon. A force exerted on a body has two components: a horizontal component and a vertical component.

Given that,

m = 30 kg,

W = mg = (30 kg)*(9.8 m/s²)

W = 294 N, the weight of the chandelier.

Let T = tension in the wire.

Let F = the horizontal force required to displace the chandelier by 0.16 m.

The angle that the wire makes with the vertical is given by:

sin(θ) = 0.16/4.4 = 0.0364

θ = sin⁻¹ 0.0364

θ = 2.084°

For equilibrium,

T cos(θ) = W

0.9993T = 294

T = 294.195 N

We know that,

F = Tsin(θ)

F = 294.195*0.0364

F = 10.709 N

Thus, The horizontal force would be necessary to displace its position 0.16 m to one side will be 10.7 N.

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Related Questions

The Fahrenheit temperature reading is 98 on a hot summer day. What is this reading on the Celsius scale?

Answers

98 Fahrenheit would be equivalent to 36.6667 Celsius.
Hope this helped!
 
36.67 C is your answer

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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Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. car 1 suddenly starts to brake with constant acceleration and stops in 10 m. at the instant car 1 comes to a stop, car 2 begins to brake with the same acceleration. it comes to a halt just as it reaches the back of car 1. what was the separation between the cars before they starting braking?

Answers

Final answer:

To find the initial separation between two cars before braking, we use the kinematic equation related to uniform acceleration. By calculating the deceleration of car 1, we can determine the total stopping distance for car 2, which includes the initial separation distance plus the stopping distance of car 1.

Explanation:

The question involves the concept of uniform acceleration and the use of kinematic equations to determine the initial separation between two cars before they start braking. Under the assumption that both cars decelerate with the same constant acceleration and car 2 stops exactly at the position where car 1 initially started to brake, we can use the kinematic equation:

\[ v^2 = u^2 + 2as \]

Where \(v\) is the final velocity, \(u\) is the initial velocity, \(a\) is the acceleration, and \(s\) is the distance. Since car 1 stops in 10 m, we can find the acceleration by setting \(v=0\), and since car 2 stops at the back of car 1 exactly, the initial separation
\(s\) is actually the distance car 2 travelled while car 1 was braking plus the 10 m stopping distance of car 1.

To solve this, we first calculate the acceleration of car 1 as it comes to a stop:

\[ 0 = u^2 + 2a(10) \]

This gives us the value of \(a\), and since car 2 has the same acceleration and stops in the same way, it will travel a distance of 10 m after starting to brake, plus the initial separation distance while car 1 was braking. This total distance equals the stopping distance of car 1, which is 10 m, plus the distance car 2 travels before it starts braking.

Therefore, the initial separation between the two cars before braking started is the distance car 2 travels while car 1 is braking (which can be calculated using the found acceleration and the fact that car 2 starts braking 10 m after car 1 has come to a stop).

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Two identical spring-loaded dart guns are simultaneously fired straight forward. one fires a regular dart; the other a weighted dart. which dart goes farther?

Answers

Final answer:

In terms of physics, the regular dart goes further. Despite both darts being fired with the same energy from the spring-operated dart guns, the heavier weighted dart experiences a greater recoil force, which slows it down more than the regular dart.

Explanation:

The question asks which of two darts fired from identical spring-loaded dart guns would go farther: a regular dart or a weighted dart. This relates to the principles of physics, specifically, the concepts of energy conservation and Newton's third law.

In a spring-operated dart gun, energy is stored in the compressed spring and then transferred to the dart when the spring is released. This total energy put into the system is conserved in the closed system of the dart gun and dart, and it is mostly converted into the kinetic energy of the dart (ignoring the system's internal energy losses).

Newton's third law states that for every action, there's an equal and opposite reaction. In this case, the spring's force propels both darts forward. However, the reaction - the backward push on the dart - will be greater for the heavier weighted dart, slowing it more compared to the regular one. Therefore, the regular dart will go further given that it faces less opposing force from the gun itself.

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Velocity Describes ______ ?

A) speed and direction
B) speed and momentum
C) force and direction
D) gravity and direction

Answers

The answer would be A.) Speed and direction. 

This is because velocity is the displacement of an object during a specific unit of time. Since displacement includes a direction, so does velocity. 
•Speed with direction. 
Velocity is also a vector, a quantity that has both magnitude and direction. 

I hope this helps. 

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

A force of 40 N is applied on a body so that it attains a velocity of 20 m/s in 5 s. What is the mass of the body?

Answers

Let m (kg) = the mass of the body.

The body attains a velocity of 20 m/s in 5 s. Therefore the acceleration is
a = (20 m/s)/(5 s) = 4 m/s².

Note that
F = ma
where
F = applied force,
a = acceleration,
m = mass

The applied force is 40 N, therefore
(m kg)*(4 m/s²) = 40 N
m = 40/4 = 10 kg

Answer: 10 kg

A block has acceleration a when pulled by a string. if two identical blocks are glued together and pulled with twice the original force, what will their acceleration be?

Answers

F = m x a 2F = 2m x a a = 2F / 2m a = F/m The acceleration would be the same.

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

PLEASE HELP!!! A small, horizontal pipe with cross-sectional area A is joined to a large horizontal pipe with cross-sectional area 2A.  Both pipes are at the same height, and completely filled with water (density 1000 kg/m^3).  What is the pressure of the water in the large pipe if the speed of the water in the small pipe is one m/s and the pressure of the water in the small pipe is 1000 Pa?

Answers

Let point 1 be the small pipe and 2 be the larger pipe. Using the continuity equation,

ρ₁A₁v₁ = ρ₂A₂v₂

Since density is the same,
A₁v₁ = A₂v₂
A(1) = (2A)(v₂)
v₂ = 0.5 m/s

Then, we use the mechanical energy balance:

(P₂ - P₁)/ρ + (v₂² - v₁²)/2 = 0
(P₂ - 1000 Pa)/ 1000 kg/m³ + (0.5² - 1²)/2 = 0
P₂ = 1375 Pa

Thus, the pressure of the larger pipe is 1,375 Pa.

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.

Holden is trying to determine the velocity of his race car. He went 20 meters east, turned around, and went 40 meters west. He turned the car one more time and went 35 meters east. His car was 15 meters from the starting line. This took 5 seconds. What is the car’s velocity?

Answers

 (15 meters east) / (5 sec) = 3 meters/ sec east

Answer:

3 m /s

Explanation:

Average velocity is defined as the ratio of total displacement to the total time taken. The formula of average velocity is given by

[tex]Average velocity = \frac{Total displacement}{Total time taken}[/tex]

Take east direction is positive and west is negative.

Here the total displacement is

d = 20 - 40 + 35 = 15 m

t = 5 second

Average velocity = 15 / 5 = 3 m/s

Q1.A toy rocket is launched with an initial velocity of 11.0 m/s in the horizontal direction from the roof of a 40.0 m -tall building. The rocket's engine produces a horizontal acceleration of (1.60 m/s3)t, in the same direction as the initial velocity, but in the vertical direction the acceleration is g , downward. Air resistance can be neglected.
Part A) What horizontal distance does the rocket travel before reaching the ground? write the answer with the unit.

Answers

The horizontal movement of the rocket is 11m/s, with an acceleration of 1.6m/s². The vertical movement will be downward, with an initial velocity of zero (it was shot horizontally) and a negative acceleration of g (-9.8m/s²)

To see how far the rocket traveled before hitting the ground, let's first figure out the time t at which the rocket hit the ground:
The formula for distance is d= vt + (1/2)at² ,
Where v=initial velocity, d=distance traveled, a=acceleration, and t=time
We want to find how long it took to travel 40 meters (height above the ground), given an initial velocity of 0 and negative acceleration of 9.8
Plugging into the equation:
40 = 0(t) + (1/2) (9.8) (t²)          Multiply both sides by (2/9.8)
8.16 = t²                                    Square root of both sides
t=  2.85

The rocket traveled for 2.85 seconds before hitting the ground. Plug this number into our distance formula to find horizontal distance
d= vt + (1/2)at² 
d = 11 (2.85) + (1/2) (1.6) (2.85²)
Remember that initial horizonal velocity is 11m/s and horizontal acceleration is 1.6m/s²
Simplify:
d= 31.35 + .8 * 8.16
d = 37.87

The object traveled 37.87 meters before hitting the ground. 

Final answer:

The toy rocket falls to the ground due to gravity in 2.86 seconds. During this time, it travels horizontally under constant acceleration, covering a distance of approximately 93.67 meters.

Explanation:

This type of problem involves projectile motion, a topic in physics. Since only vertical motion affects the time it takes for the rocket to hit the ground, we first find the time it takes for the rocket to fall from the roof to the ground. The equation to find time when we know height (H), initial vertical velocity (Vi), and acceleration due to gravity (g) is: t = √(2H/g). Plugging in H = 40 m and g = 9.8 m/s², we get t = √(2*40/9.8) = 2.86 seconds.

Next, we'll calculate the horizontal distance (or range) traveled by the rocket. The horizontal distance can be calculated using the equation x = Vi*t + 0.5*a*t², where Vi is the initial horizontal velocity, a is the horizontal acceleration and t is the time which we calculated in the previous step. Substituting the values, Vi = 11 m/s, a = 1.6*t, and t = 2.86 s, the equation becomes x = 11*2.86 + 0.5*1.6*2.86² =  93.67 m.

So, the horizontal distance that the rocket travels before reaching the ground is approximately 93.67 meters.

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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.

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 9 m3 container is filled with 300 kg of r-134a at 10°c. what is the specific enthalpy (kj/kg) of the r-134a in the container? (4 significant figures)

Answers

Given the mass of R-134a m = 300kg; Volume of the container V = 9  cu. meter; Temperature of R-134a T = 10 degrees Celsius; 
Formula of specific volume : v = V / m = 9 / 300 = 0.03 cu. m / kg. 
At T = 10 degrees Celsius from saturated R-134a tables, vf = 0.0007930 cu. m /kg; vg = 0.049403 cu. m/kg. We know v = vf + x (vg - vf), so 0.03 = 0.0007930 + x (0.049403 - 0.0007930), which makes x = 0.601.  
Specific enthalpy of R-134a in the container is h = hf + x*hfg = 65.43 + (0.601 * 190.73). Answer is 180.0587 kJ/kg

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.

List three examples of material culture.

Answers

Cars, transportation, clothes, and technology

There are various examples of material culture like Tool, Monuments, Machines, etc.

What is Material Culture?

The physical components of a society—the things that humans have created or altered—are referred to as material culture. These things are identified by their characteristics, whether chemical, physical, or biological, and they surround a population and its activities.

Shape, size, surface roughness, chemical composition and organization, molecular or cellular structure, color, and weight are examples of intrinsic properties of an entity.

Some more examples of material culture are :

AppliancesBeverages ArchitectureBooksCosmeticsCraftsFactories etc.

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A planet is in circular orbit around the sun. its distance from the sun is nine times the average distance of the earth from the sun. the period of this planet, in earth years, is:

Answers

By the Kepler's third law, the time period of this planet in earth years can be calculated to be 8 years.

What is Kepler's third law?

Kepler's Third Law states that the squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of the planet's orbits. Kepler's Third Law implies that the period for a planet to orbit around the Sun increases rapidly with the radius of its orbit.

In planetary motion, the planet's net external torque is equal to zero. As a result, the angular momentum will not change.

T² is proportional to r³, and the orbital period square is proportional to the distance cubes.

(Tearth/ Tplanet)² = (rearth/ r planet)³

The planet's distance from the sun is 4 times the semi-major axis of the earth's orbit.

(Tearth/ Tplanet)² = (1/4)³

Tearth = Tplanet × √1/64 = Tplanet × (1/8)

Tplanet = 8 × Tearth

Tearth = 1 year

Tplanet = 8 years

Therefore, the time period of this planet is 8 years.

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Your question is incomplete, most probably the complete question is:

A planet is in a circular orbit around the sun. It distance from the sun is 4 times the semi major axis of earth's orbits. The period of the planets is

earth years

Final answer:

Using Kepler's third law of planetary motion, the period of a planet in circular orbit around the Sun at a distance of nine times the Earth's from the Sun is calculated to be 27 Earth years.

Explanation:

The question asks to determine the orbital period of a planet that is nine times farther from the Sun than the Earth, using Kepler's third law, which relates a planet’s orbital period to its distance from the Sun. The law states that the orbital period squared (P^2) is proportional to the average distance from the Sun cubed (a^3). Given that the Earth's average distance from the Sun is about 150 million km (1 astronomical unit or AU), the planet in question is 9 AU from the Sun.

According to Kepler's third law, (P_earth/P_planet)^2 = (a_earth/a_planet)^3. We know P_earth is 1 year and a_earth is 1 AU, so substituting for a_planet with 9 AU, we get (1 year / P_planet)^2 = (1 AU / 9 AU)^3.
Solving this equation for P_planet gives us an orbital period of 3^3, or 27 Earth years for the planet.

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:

Will the bulb light for the whole time that the capacitor discharges?

Answers

Final answer:

The bulb will light up when the capacitor discharges, but the brightness will continually decrease and the bulb will go out once the capacitor is fully discharged.

Explanation:

In circuits containing capacitors, when the capacitor is fully charged, it starts the process of discharging. During the process of discharging, the capacitor transfers its stored energy which can light up a bulb. So, yes, theoretically, a bulb can light up during the time the capacitor discharges. However, the brightness of the bulb will diminish over time, as the energy stored in the capacitor decreases during a discharging process, resulting in a decreasing current in the circuit.

For example, imagine we have a simple circuit with a bulb, a resistor, and a discharging capacitor. At the start of the discharge process, when the capacitor holds the maximum charge, the bulb will shine the brightest. As the capacitor discharges, the current in the circuit will decrease, therefore the brightness of the bulb will also decline. When the capacitor is fully discharged, the current will be zero and therefore the bulb will not light up anymore.

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Final answer:

The bulb in a circuit with a discharging capacitor will remain lit as long as there is sufficient current flowing through it. The duration depends on the circuit's time constant and the bulb's required current to produce light. The stored energy of the battery and bulb's power consumption determine how long the bulbs will stay lit.

Explanation:

The question pertains to the discharge of a capacitor in a simple electrical circuit and whether a bulb connected to this circuit will remain lit throughout the discharge process. When a charged capacitor starts to discharge through a bulb (or any resistive load), the bulb will light up. As the capacitor discharges, the voltage across it decreases, which in turn causes the current through the bulb to decrease. The bulb will stay lit as long as there is sufficient current flowing through it to produce light. The duration for which the bulb stays lit will be influenced by the effective resistance of the circuit and the capacitance value.

For more complex circuits, such as one with a neon lamp, the bulb will light up when the capacitor discharges through the lamp. However, once the capacitor's voltage drops below the lamp's 'strike voltage', the lamp will turn off, and the capacitor may continue to discharge without producing light. Hence, the bulb does not necessarily stay lit for the entire duration of the capacitor's discharge. Instead, it stays lit until the voltage and current are too low to sustain illumination.

If a battery has a total stored energy of 800 W hr and it produces a constant potential difference until discharged, to determine how long the bulbs will stay lit, one would need to know the power consumption of the bulbs and the system voltage. This would allow for the calculation of the discharge time using the relationship between power, energy, and time.

an object has a velocity of 8 m/s and a kinetic energy of 480 J what is the mass of the object

Answers

We have first velocity equals 8 m/s and the kinetic energy is 480 J

The order is the mass of the object

We have this formula K= mv2/2 isolating the mass we have m=k/v2

Now we will have m=480/8×8 > m= 480/64 m= 7.5kg now we deternimed the mass it's 7.5 kg

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,

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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Which statement is true regarding the "relationship merry-go-round"?

A. By the age of 40, about 75% of Americans have married at least once.
B. Most people chose to remain single in order to pursue career goals.
C. Arranged marriages are no longer the norm in India.
D. In some cultures, romantic love was considered a form of madness.

Answers

A common finding with couples who can’t connect or resolve their problems is that they reason out or feel that it’s the other individual who can’t connect, not them. It’s the other individual that has the problem and they remain to think "I’m right and you’re wrong." The answer is letter a. In 40 percent of new weddings, one or both partners has been wedded no less than once before. Men are more probable to re-wed than women who've been wedded before.

What was the correct answer?

A ball with a mass of 0.25 kg hits a gym ceiling with a force of 78.0 n. what happens next?
a. the ball accelerates downward with a force of 80.5 n.
b. the ball accelerates downward with a force of 78.0 n.
c. the ball accelerates downward with a force of 2.45 n.
d. it depends on the height of the ceiling.

Answers

Final answer:

After the ball hits the ceiling with a force of 78.0 N, it experiences a net force of 75.5 N downward due to the impact force minus its weight, causing it to accelerate downward.

Explanation:

When a ball with a mass of 0.25 kg hits the gym ceiling with a force of 78.0 N, the force exerted on the ceiling by the ball is equal and opposite to the force exerted on the ball by the ceiling, according to Newton's third law of motion. Right after the impact, the ball will experience a net force in the downward direction which will cause it to accelerate downward. This net force can be calculated by subtracting the weight of the ball from the applied force. The weight of the ball, which is the force due to gravity, is the mass of the ball times the acceleration due to gravity (0.25 kg * 9.8 m/s² = 2.45 N). Thus, the net force on the ball after hitting the ceiling would be 78.0 N - 2.45 N = 75.5 N downward. Therefore, the correct answer to what happens to the ball next is that it accelerates downward with a force of 75.5 N.

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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Which of the following is an example of two sets?

Answers

 Five sit ups followed by a rest and then five more sit ups

What is the difference between contact forces and forces that act through a force field?

Answers

Contact forces are forces that occur when two objects make contact, ex. Frictional Force. Non-contact forces occur without contact, ex. Gravitational Force or Electric Force.

Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.

What is force?

Force is the action of push or pull which cause an object to move or stop.

Contact forces are the forces that come into existence when two objects come in contact to apply a force, For example: Frictional Force.

Non-contact forces takes place without any physical contact. For example: Gravitational force, Electric force, Magnetic force.

Thus, Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.

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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.

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