The current estimate for the age of earth of 4.57 ga comes from _____.

Answers

Answer 1
The estimation of the age of the Earth comes from scientists who studied the rock formation under the Earth's crust. They believe that during the Big Bang, the Earth, together with the other celestial bodies in the universe, were formed. Under the Earth's soil contain radioactive materials that have known decay rates. Using these rate, they undergo tests like rock dating to find the time of its existence.

Related Questions

A steam engine absorbs 4 x 105 J and expels 3.5 x 105 J in each cycle. What is its efficiency?

100%
12.5%
75%
33%

Answers

Input heat, Qin = 4 x 10⁵ J
Output heat, Qout = 3.5 x 10⁵ J

From the first Law of thermodynamics, obtain useful work performed as
W = Qin  -  Qout
     = 0.5 x 10⁵ J

By definition, the efficiency is
η = W/Qin
   = 100*(0.5 x 10⁵/4 x 10⁵)
   = 12.5%

Answer: The efficiency is 12.5%

A proton is placed in an electric field of intensity 500 n/c what is the magnitude and direction of the acceleration of this proton due to this field

Answers

Calculate the magnitude and direction of the acceleration of a proton placed in an electric field of 500 N/C.

Magnitude of Acceleration: The magnitude of the acceleration of the proton can be calculated using Newton's second law, F = ma, where F is the force experienced by the proton in the electric field. Given that the electric field intensity is 500 N/C and the charge of a proton is 1.6 x 10^-19 C, you can find the acceleration.

Direction of Acceleration: The direction of the acceleration will be the same as the direction of the force experienced by the proton in the electric field, which is determined by the positive charge of the proton relative to the field lines.

The acceleration of a proton in a 500 N/C electric field is calculated using the charge of the proton and its mass, along with the given field intensity. The proton's charge is 1.60 x 10^-19 C, and its mass is 1.67 x 10^-27 kg. The proton accelerates in the same direction as the electric field.

To calculate the magnitude and direction of the acceleration of a proton in an electric field, we can use the formula for force F exerted on a charge q in an electric field E: F = qE. Next, we use Newton's second law of motion, which states that the force F on an object is equal to its mass m times its acceleration a: F = ma. Since the two expressions are both equal to the force F, we can set them equal to each other to find the acceleration: ma = qE. For a proton, the charge q is equal to the elementary charge, which is approximately 1.60 x 10-19 C. Hence, the acceleration a is found by rearranging the formula to a = qE/m.

The mass of a proton is approximately 1.67 x 10-27 kg. Substituting the given electric field intensity of 500 N/C, the charge of a proton, and the mass into the formula, we get:

a = (1.60 x 10-19 C) \\* (500 N/C) / (1.67 x 10-27 kg)

Calculating this, we get the acceleration a of the proton. Since the proton is positively charged, it will accelerate in the same direction as the electric field. This gives us both the magnitude of the acceleration and its direction.

Starting from rest, a disk takes 8 revolutions to reach an angular velocity ω at constant angular acceleration. how many additional revolutions are required to reach an angular velocity of 3 ω ?

Answers

w^2 = 2 A 8 where A is the angular acceleration.
(3w)^2 = 2 A R where R is the number of revolutions.
Note that you are asked for the additional revolutions.
Final answer:

To find the additional revolutions required to reach an angular velocity of 3ω, we can use the equations of rotational motion.

Explanation:

To find the solution to this problem, we can use the equations of rotational motion. The first step is to find the initial angular velocity, ω0. Given that the disk takes 8 revolutions to reach an angular velocity ω, we can calculate that ω0 = 2π * 8 / 8 = 2π rad/s.

Next, we can use the equation ω = ω0 + αt to find the angular acceleration, α. Rearranging the equation, we get α = (ω - ω0) / t = (3ω - 2π) / t.

Finally, we can use the equation ω = ω0 + αt to find the additional time, t', required to reach an angular velocity of 3ω. Rearranging the equation, we get t' = (3ω - ω0) / α = (3ω - 2π) / ((3ω - 2π) / t).

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The pioneer in the technique of photographic collage was:

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The correct answer is Raoul Hausmann. He was an Austrian artist and writer. And he was a forefather and dominant figure of the Dada movement in Berlin, who was known particularly for his ironic photomontages and his provocative writing on art. One of the important figures there also includes the experimental photographic collages, sound poetry and institutional reviews that has a profound influence on the European Avant-Garde in the aftereffects of World War I.

PLEASE GO ANSWER MY 3 MOST RECENT QUESTION I NEED HELP!!!!!!!!!!!!!!
3. Compare how a positively charged object and a negatively charged object interact with a neutral object.

4. What happens to the composition of an atom to cause it to become positively or negatively charged?

5. If you rub a balloon on a piece of fabric or carpeting and then hold it against your head, your hair can stand on end. Use what you have learned in this lesson to explain why this happens

Answers

Positive or negative charged will induce a dipole on the neutral charge, causing it to attract to either charge. Adding protons to an atom causes positive charge and adding electrons to an atom adds negative charge. Your hair and the gallon are naturally charged, so they induce a dipole in each other and cause themselves to mutually attract. Inducing a dipole is when a neutral charge has some of its positive or negative charges dragged to one side creating net positive charge on one side and net negative charge on the other.

Which of these should you not do when merging onto a freeway? A. Select a gap large enough to fit your vehicle. B. Change lanes smoothly. C. Change two lanes at once and speed up. D. Adjust your speed to create a safe following interval.

Answers

the answer is C. change two lanes at once and speed up.

Block A, with a mass of 4.0 kg, is moving with a speed of 2.0 m/s while block B , with a mass of 8.0 kg, is moving in the opposite direction with a speed of 3.0 m/s. The center of mass of the two block system is moving with velocity of?

Answers

Consider velocity to the right as positive.

First mass:
m₁ = 4.0 kg
v₁ = 2.0 m/s to the right

Second mass:
m₂ = 8.0 kg
v₂ = -3.0 m/s to the left

Total momentum of the system is
P = m₁v₁ + m₂v₂
   = 4*2 + 8*(-3)
  = -16 (kg-m)/s

Let v (m/s) be the velocity of the center of mass of the 2-block system.

Because momentum of the system is preserved, therefore
(m₁+m₂)v= -16
(4+8 kg)*(v m/s) = -16 (kg-m)/s
v = -1.333 m/s

Answer:
The center of mass is moving at 1.33 m/s to the left.

We have that the velocity  two block system   is mathematically given as

vcm= -16 m/s

Velocity  two block system

Question Parameters:

With a mass of 4.0 kg, is moving with a speed of 2.0 m/s while block B , with a mass of 8.0 kg, is moving in the opposite direction with a speed of 3.0 m/s.

Generally the equation for the Velocity   is mathematically given as

vcm = (m1*v1) + (m2*v2)

vcm = ((4*2)-(8*3))

vcm= -16 m/s

And the direction is

dcm = in the direction of block B

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After an average acceleration of 3.95 m/s2 during 2.25 s, a car reaches a velocity of 15.3 m/s. find the car\'s initial velocity.

Answers

Since,
We have avg. acceleration it can be put in place of accelaration in the given time period.

v=15.3m/s
a= 3.95m/s
t= 2.25 s

by using,
a=(v-u)/t
3.95=(15.3-u)/2.25
(3.95*2.25)-15.3= -u
8.8875-15.3= -u
 -6.4125= -u
⇒ u= 6.4125 m/s

A 100 N force pulls a box horizontally across a floor for 2 m. How much was done by the force of gravity (which pulls straight down on the box)?

Answers

The work done by the force of gravity will be 200 J.

What is work done?

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive and negative. it depends on the direction of the body displaced. if the body is displaced in the same direction of the force it will be positive.

The given data in the problem is;

F is the force applied = 100 N

d is the displacement =  2 m

W is the work done

The done by the force of gravity will be ;

W = F × d

W= 100 N × 2 m

W = 200 Nm

W = 200 J

Hence, the work done by the force of gravity will be 200 J.

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At what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1600 kg car traveling at 5.2 m/s ?

Answers

[tex]Given:\\m_b=100kg\\m_c=1600kg\\v_c=5.2 \frac{m}{s} \\p_b=p_c\\\\Find:\\v_b=?\\\\Solution:\\\\p_b=p_c\\\\p=mv\\\\m_bv_b=m_cv_c\Rightarrow v_b= \frac{m_cv_c}{m_b} \\\\v_b= \frac{1600kg\cdot5.2 \frac{m}{s} }{100kg} =83.2 \frac{m}{s} [/tex]

What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?

Answers

First, you find the pressure experience by the car at that depth. This pressure is called the hydraulic pressure with the equation: P=density*gravity*depth. The density of water is 1000 kg/m^3; the acceleration due to gravity is 9.81 m/s^2. So, we need a value for the depth. Suppose, the car was underwater 6 m deep. Then the pressure would be:

Pressure = 1000 kg/m3*9.81 m/s^2*6m = 58,860 Pascals

Pressure, by definition, is the force over unit area. Since we know the are of the circular window, we can therefore determine the force exerted by the water to the car's window.

P =F/A
P=F/(π*(0.35/2)^2)
58,860 = F/0.0962
F = 5,663 Newtons
Final answer:

To calculate the force exerted by the water on the window of an underwater vehicle at a certain depth, use the formula Force = Pressure x Area. Calculate the pressure using the formula Pressure = Density x Gravity x Depth. Calculate the area using the formula Area = π x (radius)^2.

Explanation:

The force exerted by the water on the window of an underwater vehicle at a certain depth can be calculated using the formula:

Force = Pressure x Area

The pressure exerted by water at a given depth is given by the formula:

Pressure = Density x Gravity x Depth

Using the given diameter of the window, you can calculate the area of the window by using the formula for the area of a circle:

Area = π x (radius)^2

By substituting the values into the formulas and calculating, you can find the force exerted by the water on the window.

A man stands on a scale in an elevator as shown here. the force of his weight when the elevator is still is fg downward. suppose the elevator's acceleration downward is 1/4 g. the weight of the man, fs, is what

Answers

When the elevator moves downward, the man weighs less because of the inertia.
Force of Weight:Fg=m×g
Fs=m×g-m×1/4g=m×(g-1/4g)=m×3/4g
If He Went Up you would have to add 1/4g

The weight of the man in the  elevator is [tex]\frac{3}{4} f_g[/tex].

What is weight?

Weight of a body is the force with which the earth attracts it. due to having both magnitude and direction, Weight is a vector quantity. Si unit of weight is Newton.

Given parameter:

The force of his weight in still elevator is = [tex]f_g[/tex]

And, the elevator's acceleration downward is 1/4 g.

Let, the mass of the man is = m.

So, his weight in still elevator = [tex]f_g[/tex] = mg.

Where, g = acceleration due to the gravity.

When the elevator moves downward, the experienced weight of the man will change and magnitude of it will be equal to the difference of his weight in still elevator and pseudo force due to the elevator's acceleration downward is 1/4 g   .

The pseudo force due to the elevator's acceleration = mass × acceleration

= m× 1/4 g

= 1/4 mg

Fs=m×g-m×1/4g=m×(g-1/4g)=m×3/4g

Now, the weight of the man experienced during the elevator's acceleration downward is 1/4 g is, [tex]f_s[/tex] = [tex]f_g -\frac{1}{4}[/tex]mg = 3/4 mg = [tex]\frac{3}{4}[/tex] [tex]f_g[/tex].

Hence, the net weight of the man is  [tex]\frac{3}{4}[/tex] [tex]f_g[/tex].

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Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. the heat capacity of object a is three times the heat capacity of object b and the initial temperature of object a (ta) is twice the initial temperature of object b (tb). 1) what will the final temperature of the two-object system be?

Answers

At thermal equilibrium, when the colder object has a higher heat capacity than the hotter object, the final temperature of the system will be closer to the initial temperature of the colder object.

Thermal Equilibrium of Two Objects

When two objects with different initial temperatures are placed in thermal contact and isolated from their surroundings, they will exchange heat until reaching thermal equilibrium. Specifically, the zeroth law of thermodynamics states that if two systems are in thermal contact and no heat flows between them, they are at the same temperature, implying they have reached thermal equilibrium.

The object with the higher heat capacity can absorb more heat without a significant increase in temperature.

The concept of thermal equilibrium in thermodynamics states that objects in contact will approach the same temperature, following the zeroth law of thermodynamics.

In the scenario, where the heat capacity of the colder object B is much greater than that of the hotter object A, and both objects are allowed to reach thermal equilibrium, the final temperature of the system will be closer to the initial temperature of object B, the colder object. This is because the object with the greater heat capacity will undergo a smaller change in temperature for the same amount of heat exchange, compared to the object with the smaller heat capacity.

Which energy conversion occurs in a battery-powered flashlight?

Answers

Answer: The correct answers are "chemical energy into electrical energy" and then "the electrical energy into light energy".

Explanation:

In the battery-powered flashlight, the battery supplies the chemical energy which makes the electrons to flow in the circuit and constitutes the current.

Then, the flashlight flashes the light in this way.

In the battery-powered flashlight, firstly, the chemical energy gets converted into electrical energy and then the electrical energy  gets converted into light energy.

Harry is reading an online summary of the law of reflection. The site states that after light hits a mirror, the angle of reflection is the angle between the reflected ray and the normal, which is the surface of the mirror.Which statement corrects an error on the site?

Answers

'A line perpendicular to the mirror's surface is called the normal. This is the right statement for correcting a website error.

What is the law of reflection?

The law of reflection states that when a ray is reflected off a downy surface, the reflected ray's slope is equivalent to the incident ray's slope.

The incident ray and the reflected ray are always in the same plane as the incident ray and perpendicular to the surface at the incident ray's point of reference.

The angle of reflection is comparable to the angle of incidence when light rays fall on a flat surface, and the incident ray, reflected ray, and normal to the surface all lie in the same plane.

Hence 'A line perpendicular to the mirror's surface is called the normal. This is the right statement for correcting a website error.

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Which statement best describes the difference between acceleration and deceleration?

Answers

Final answer:

Deceleration is a type of acceleration where an object slows down, always acting opposite to the direction of motion. Negative acceleration, on the other hand, refers to acceleration in a negative direction as per the coordinate system and may not involve slowing down. Correctly distinguishing between these terms requires understanding both the motion's direction and the chosen coordinate system.

Explanation:

The difference between acceleration and deceleration relates to the direction of the change in velocity relative to the object's current motion. While acceleration refers to a change in velocity, either in magnitude or direction, deceleration specifically refers to acceleration that occurs in the opposite direction of an object's motion and results in a reduction of the object's speed. It is a common misconception to equate deceleration with negative acceleration; although related, they are not always the same because negative acceleration refers to acceleration in a negative direction in the chosen coordinate system, which might not necessarily mean the object is slowing down.

Deceleration always reduces speed, whereas negative acceleration can occur when an object is speeding up in a direction defined as negative by a coordinate system. Therefore, deceleration is a form of acceleration that always acts in the opposite direction to the velocity, causing the object to slow down. On the other hand, negative acceleration is coordinate-dependent and may either represent an object slowing down or speeding up, depending on its initial direction of motion.

It is advisable to avoid the use of the term 'deceleration' when referring to negative acceleration, as one must also consider the sign of the object's velocity to determine if the object is slowing down.

A metal smith pours 3.00 kg of lead shot at 99oc into 1.00 kg of water at 25oc in an isolated container. what is the final temperature of the mixture?

Answers

The answer is in attachment.

Calculate the average velocity of the car for the time interval t=0 to t1 = 2.00 s .

Answers

bem difícil espera que eu te respondo

Among all the given options, the correct option is option A. Distance, displacement, or acceleration can be used to describe motion.

What is average velocity?

Physical quantity concepts like velocity, velocity, distance, displacement, or acceleration can be used to describe motion. Sir Isaac Newton provided the correct definition of motion. These quantities are all explained in terms of the same parameter, time.

The proportion of the total all quantities to the entire number of quantities is what is simply meant by the word "average." In Physics, an alternative strategy is used. Let's first define velocity precisely as well as speed and how the two are related before moving on to average velocity.

Total Displacement = Area under v-t graph

=πr²/2

=π×1²/2

=π/2m

Average velocity = Total Displacement / total time

= π/2/2 = π/4m/s

Therefore, the correct option is option A.

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ben(55 kg) is standing on very slippery ice when junior(25kg) bumps into him. junior was moving at a speed of 8m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision .

Answers

Define
m₁= 55 kg, mass of Ben
m₂ = 25 kg, mass of Junior

v₁ = 0, initial speed of Ben (he was stationary)
v₂ = 8 m/s, speed of Junior

Consider the motion of Ben and Junior as occurring within a closed system.
Because momentum is preserved, the initial momentum of the system is equal to the final momentum of the system.

Refer to the figure shown below.
The initial momentum is
P₁ = m₁v₁ + m₂v₂
    = (55 kg)*(0 m/) + (25 kg)*(8 m/s)
    = 200 (kg-m)/s

Let V =   the speed of Ben and Junior (in an embrace) after the collision.
The final momentum is
P₂ = (m₁ + m₂)V
    = (55+25 kg)*(V m/s)
    = 80V (kg-m)/s

Equate P₁ and P₂ to obtain
80V = 200
    V = 2.5 m/s

Answer:  2.5 m/s

A fish swimming in a horizontal plane has velocity v with arrowi = (4.00 i + 1.00 j) m/s at a point in the ocean where the position relative to a certain rock is r with arrowi = (12.0 i − 2.00 j) m. after the fish swims with constant acceleration for 17.0 s, its velocity is v with arrow = (23.0 i − 1.00 j) m/s. (a) what are the components of the acceleration of the fish? ax = m/s2

Answers

To determine the acceleration of the fish, we use one of the kinematic equation which relates velocity and acceleration. Using the given velocities, we substitute it to the equation. As we see, the velocities include their directions where i represents the x direction and j represents the y direction. We do as follows:

a = (v-vi) / t
a = [ (20.0 i - 5.00 j) - (4.00 i + 1.00 j)] / 23
Combining like terms,
a = [16i - 6j] / 23
TO determine the components of the acceleration, we do as follows:
 
ax = 16.0/23.0 m/s2 = 0.70 m/s^2 ( to the right)
ay = -6.0/23.0 m/s2  = -0.26 m/s^2 ( accelerating down)

Final answer:

To find the acceleration components of the fish, the change in velocity components is divided by the time interval. The x-component is 1.12 m/s² and the y-component is -0.12 m/s².

Explanation:

The student is asking how to calculate the components of acceleration given the initial and final velocity of a fish over a certain time period. To find the acceleration components, we use the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time over which the change occurred. For the x-component: ax = (23.0 m/s - 4.00 m/s) / 17.0 s = 1.12 m/s². For the y-component: ay = (-1.00 m/s - 1.00 m/s) / 17.0 s = -0.12 m/s².

The price at which a nations currency can be bought using another nations currency is known as
A. The rate of exchange
B.consumer advantage
C.globalization
D.currency trade

Answers

A) the rate of exchange (a.k.a the exchange rate)

Answer:

A. The rate of exchange

Explanation:

Many scientists do not believe in astrology because

Answers

Many scientists don't believe in astrology because there is no proof or evidence to support the premises described and set in place in astrology.

a speeding car traveling north at 80mph passes the tramway intersection when the police begin pursuit. The police start 6 miles south of tramway traveling at 100mph. How many miles north of tramway will they be when they catch up with the speeding car?

Answers

Refer to the diagram shown below.

Define
x =  distance, miles, that the speeding car travels before the police catch up.
t = time, hrs, before the police catch up.
Then
(80 m/h)*(t h) = (x mi)
80t = x                 (1)

(100 mi/h)*(t h) = (x+6 mi)
100t = x + 6          (2)

Subtract (1) from (2).
100t - 80t = x+6 - x
20t = 6
t = 6/20 = 0.3 h

From (1), obtain
x = 80*0.3 = 24 mi.

Answer:  24 miles

A man swims at a speed of 0.4 m/s. How long will it take him to cross a pool of length 50 m?

Answers

Distance = speed * time, then time = distance / speed.

time = 50 / 0.4 = 125 s

With the switch closed, how does the voltage across the 20-ω resistor compare to the voltage across the 10-ω resistor?

Answers

In electricity, the most famous and basic equation is the Ohm's Law which relates the parameters voltage, current and resistance. One form of this law as written in equation is V = IR, where V is the voltage in volts, I is the current in amperes and R is the resistance in ohms. These parameters depends in the arrangements, whether it's series or parallel.

In a series connection, the voltage is greater across a high-resistance resistor. Therefore, the voltage is much greater for the 20-ohm resistor. However,if it is a parallel circuit, the voltage is just the same for both resistors.

If a flea can jump straight up to a height of 0.550 m , what is its initial speed as it leaves the ground?

Answers

Final answer:

The initial speed of a flea as it leaves the ground to reach a height of 0.550 meters is approximately 3.29 meters per second, calculated using the formula v = √{2gh}, where g is the acceleration due to gravity and h is the height.

Explanation:

The question asks us to find the initial speed of a flea as it leaves the ground to reach a height of 0.550 meters. To solve this, we can use the physics concept of kinematic equations, specifically the one that relates initial velocity, acceleration due to gravity, and maximum height achieved by a projectile. The formula we will use is: v = √{2gh}, where v is the initial velocity, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the maximum height (0.550 m).

Substituting the given values into the formula, we get:
v = √{2*9.81*0.550} = 3.29 m/s.

Therefore, the initial speed of the flea as it leaves the ground is approximately 3.29 meters per second.

The ratio of the distance a bullet travels to the amount of time it takes to travel is known as the _____ of the bullet, depending on whether we need to know the direction or not.

Answers

Unit!

The ratio of the distance a bullet travels to the amount of time it takes to travel is known as the UNIT of the bullet, depending on whether we need to know the direction or not.

Answer:

speed or velocity

Explanation:

The ratio of distance travels to the time taken is called speed.

Speed = distance traveled / time taken

Speed is a scalar quantity and its SI unit is m/s.

If the direction of distance given then it is velocity.

Velocity is defined as the ratio of displacement to the time taken.

Velocity is a vector quantity and its SI unit is m/s.

The roller-coaster car shown in fig. 6-41 (h1 = 45 m, h2 = 16 m, h3 = 26 m), is dragged up to point 1 where it is released from rest. assuming no friction, calculate the speed at points 2, 3, and 4.

Answers

There are many ways to solve this but I prefer to use the energy method. Calculate the potential energy using the point then from Potential Energy convert to Kinetic Energy at each points.

PE = KE

From the given points (h1 = 45, h2 = 16, h3  = 26)

Let’s use the formula: 

v2= sqrt[2*Gravity*h1]  where the gravity is equal to 9.81m/s2

v3= sqrt[2*Gravity*(h1 - h3 )] where the gravity is equal to 9.81m/s2

v4= sqrt[2*Gravity*(h1 – h2)] where the gravity is equal to 9.81m/s2

Solve for v2

v2= sqrt[2*Gravity*h1]      

    = √2*9.81m/s2*45m

v2= 29.71m/s

v3= sqrt[2*Gravity*(h1 - h3 )   

    =√2*9.81m/s2*(45-26)

    =√2*9.81m/s2*19 

v3=19.31m/s

v4= sqrt[2*Gravity*(h1 – h2)]        

    =√2*9.81m/s2*(45-16)

    =√2*9.81m/s2*(29)

v4=23.85m/s

Final answer:

To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1. Using the principle of conservation of mechanical energy again, we can find the speed at points 2, 3, and 4.

Explanation:

To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1:



PE1 = KE1 + PE2 + PE3 + PE4
mgh1 = 0 + mgh2 + mgh3 + mgh4
45m = 0 + 16m + 26m + h4
h4 = 3m


Using the principle of conservation of mechanical energy again, we can find the speed at point 2:



KE2 = PE1 - PE2
KE2 = 45m - 16m
KE2 = 29m
v2 = sqrt(2g * KE2)
v2 = sqrt(2 * 9.8 m/s^2 * 29m)
v2 = sqrt(568.4) ≈ 23.8 m/s


Similarly, we can find the speed at point 3 using the same principle:



KE3 = PE1 - PE3
KE3 = 45m - 26m
KE3 = 19m
v3 = sqrt(2g * KE3)
v3 = sqrt(2 * 9.8 m/s^2 * 19m)
v3 = sqrt(372.4) ≈ 19.3 m/s


Finally, the speed at point 4 can be found:



KE4 = PE1 - PE4
KE4 = 45m - 3m
KE4 = 42m
v4 = sqrt(2g * KE4)
v4 = sqrt(2 * 9.8 m/s^2 * 42m)
v4 = sqrt(823.2) ≈ 28.7 m/s

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If the rectangular barge is 3.0 m by 20.0 m and sits 0.70 m deep in the harbor, how deep will it sit in the river?

Answers

The harbour contains salt water while the river contains fresh water. So assuming that the densities of fresh water and salt water are:

density (salt water) = 1029 kg / m^3

density (fresh water) = 1000 kg / m^3

The amount of water (in mass) displaced by the barge should be equal in two waters.

mass displaced (salt water) = mass displaced (fresh water)

Since mass is also the product of density and volume, therefore:

[density * volume]_salt water = [density * volume]_fresh water                 ---> 1

 

First we calculate the amount of volume displaced in the harbour (salt water):

V = 3.0 m * 20.0 m * 0.70 m

V = 42 m^3 of salt water

Plugging in the values into equation 1:

1029 kg / m^3 * 42 m^3 = 1000 kg/m^3 * Volume fresh water

Volume fresh water displaced = 43.218 m^3

 

Therefore the depth of the barge in the river is:

43.218 m^3 = 3.0 m * 20.0 m * h

h = 0.72 m        (ANSWER)

Final answer:

Based on Archimedes' principle, the rectangular barge will sit at the same depth of 0.70m in both the harbor and the river, if the river and the harbor have the same type of water.

Explanation:

The depth at which the rectangular barge will sit in the river relates to the concept of buoyancy and the principle of Archimedes. According to this principle, the weight of the water displaced by the barge is equal to the weight of the barge itself.

Provided that the river and the harbor have the same type of water (salt water or fresh water), the barge will sit at the same depth in both, which is 0.70m deep. This is because the barge, with dimensions of 3.0m by 20.0m, will displace an equal volume of water to balance its own weight in any body of water it is placed in.

Learn more about Archimedes' principle here:

https://brainly.com/question/20351122

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Suppose you are an astronaut and you have been stationed on a distant planet. you would like to find the acceleration due to the gravitational force on this planet so you devise an experiment. you throw a rock up in the air with an initial velocity of 11 m/s and use a stopwatch to record the time it takes to hit the ground. if it takes 7.0 s for the rock to return to the same location from which it was released, what is the acceleration due to gravity on the planet?

Answers

Answer: g = -3.143 m/s²

Explanation: To determine acceleration due to the gravitational force, it can be used the following formula:

v = v₀ + gt, where:

v₀ is the initial velocity;

g is acceleration due to gravity

t is the time to return to the point of origin

When the rock return to the point of origin, there is no velocity, so v = 0.

The time to go up is the same to go down, so t = [tex]\frac{t}{2}[/tex] = [tex]\frac{7}{2}[/tex].

Substituing in the formula:

v = v₀ + gt

0 = 11 + g.[tex]\frac{7}{2}[/tex]

g = [tex]\frac{(0 - 11).2}{7}[/tex]

g = - 3.143

The acceleration due to the gravitational force is g = - 3.143 m/s².

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