Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height . The mass of each object is a multiple of the base mass : object 1 has mass 3.10 , object 2 has mass 1.46 , and object 3 has mass . When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23 ,

Answers

Answer 1

The definition of gravitational potential energy would gravitate allows to find the answers for the energy of each object on the highest rung of the ladder are:

 a) expression for gravitational potential energy is  [tex]U_p = m g \ \Delta y[/tex]

 b) Energy value

        * Body 1    U_p = 82 J

        * Body 2   U_p = 38.6 J

        * Body  3  18.5 J

The gravitational potential energy is a configuration energy that represents the amount of work that the system can do for a given configuration, its expression is

           [tex]U_p = m g \ \Delta y[/tex]

Where [tex]U_p[/tex] is the gravitational potential energy, m the mass of the body and Δy the difference in height.

In this case it indicates that the minimum height is at the bottom and is equal to zero, the steps of a ladder have a height of approximately y = 15 cm = 0.15 m

They indicate the mass of the bodies are m₁ = 3.10 kg, the mass of the body 2 m₂ = 1.46 kg , the mass of the third object is not observed, suppose it is m₃ = 0.7 kg.

They indicate that the body is placed on the last step, suppose it is a standard 18-step ladder, therefore the total height is

          y = # _ steps    y_each step

          y = 18   0.15

          y = 2.70 m

the gravitational potential energy to the capacity of the body is

body 1

              [tex]U_p[/tex] = m₁ g Δy₁

              U_p = 3.10  9.8 (2.70 -0)

               U_p = 82 J

body 2

              U_p = 1.46 9.8 ( 2.7-0)

              U_p = 38.6 J

body  3

             U_pUp = 0.70 9.8 (2.7-0)

             U_p = 18.5 J

In conclusion, using the definition of gravitational potential energy, we can find the answers for the energy of each object on the highest rung of the ladder are;

     a) expression for gravitational potential energy is  [tex]U_p = m g \ \Delta y[/tex]

     b) Energy value

        * Body 1    U_p = 82.0 J

        * Body 2   U_p = 38.6 J

        * Body  3   U_p = 18.5 J

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Related Questions

A bicycle traveled 150 meters west from point A to point B. Then it took the same route and came back to point A. It took a total of 2 minutes for the bicycle to return to point A. Wgat is the average speed and average velocity of the bicycle?

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Answer:

469

Explanation:

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Answer:

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Explanation:

A flare fired upward at 49 m/s will reach a height of

Answers

Answer:

122.5 meters

Explanation:

We have the third equation of motion:

[tex]\boxed{\mathsf{v^2=u^2+2aS}}[/tex]

v stands for the final velocityu, initial velocitya is the acceleration of the particle in motionS, the distance covered by the same particle.

Here, the particle is a flare.

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a will be the acceleration due to gravity = 9.8 m/ s²

So, here are the terms we've got for the third eqn. of motion:

v = 0 m/ su = 49m/ sa = - 9.8 m/ s (the force of gravity acts downwards, and that's the direction we say is negative)

Now, the term we've got to find out is the height reached by the flare, i. e., S.

=> v² = u² + 2aS

=> (0)² = (49)² + 2×(-9.8)×S

=> 0 = 49×49 - 2×9.8×S

=> 2×9.8×S = 49×49

[tex]\implies \mathsf{S=\frac{49\times 49}{2\times9.8} }[/tex]

=> S = [tex]\frac{245}{2}[/tex]

=> S = 122.5 meters

And, S is the maximum height the flare covers, so the answer is 122. 5 meters

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Answers

Answer:

1. they both act on an object in free fall

Explanation:

2. both help determine how fast the object will accelerate

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Answers

We have that the instantaneous velocity of the shuttlecock when it hits the ground is

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From the question we are told

Assuming the acceleration is still -9.81 m/s2, what is the instantaneous velocity of the

shuttlecock when it hits the ground? Show your work below.

Generally the equation for acceleration  is mathematically given as

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Answer:

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Hello, are there any furries, artists, equestrians, gamers, athletes, etc? If so reply down below
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Answer:

bonjour,GG, Just believe in yourself

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Answer:

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Explanation:

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Answer:

a molecule is an electrically neutral group of two or

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Explanation:

Answer:

It can be two or more of the same elements combined together.

It can be one element by itself.

Explanation:


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Answers

Answer:

Explanation:

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V2 = 2,5L

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Answer:

Dark matter is a hypothetical form of matter thought to account for approximately 85% of the matter in the universe. ... Most dark matter is thought to be non-baryonic in nature; it may be composed of some as-yet undiscovered subatomic particles.


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If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).



hope this helps, have a great day
mark brainliest :)!!

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Answers

Answer:

Each element absorbs light at specific wavelengths unique to that atom. When astronomers look at an object's spectrum, they can determine its composition based on these wavelengths. The most common method astronomers use to determine the composition of stars, planets, and other objects is spectroscopy.

Explanation:

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Answer:

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Ofc
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answer:


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mark brainliest

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Answers

Answer:

its B

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It's B & A at the same time because A. a roller coaster uses brakes to slow down and stop. B is the most reasonable answer. Because all roller coasters go up and over a second time over the hill, but they also slow down. But go with B.

TELL ME IF I´M RITE

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Answers

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1. Define weight
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3. If an object has a mass of 50 kg, what is its weight?
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5. Newton's second law of motion relates an object's acceleration to aits mass b. ils velocity c. the net force acting on it d. a and
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8.If you know the mass of an object, you can calculate its weight with the formula a F-m XV b. a = Fim c. F = m X 9.8 m/s22 d. d = v X 9. Which units can be used to express force? a. N b. kg/s2 c. kgm/s2 d. a ando
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Answers

1. Weight is the gravitational pull with which the earth attracts the body towards the center of the earth. The S.I unit is Newton (N)

2. The weight of an object is related to its mass with the below equation.

W = mg

Where W = weight, m = mass and g = acceleration due to gravity

3. The mass m = 50 kg and g = 9.8 m/[tex]s^{2}[/tex]

Substitute the parameters in the equation above.

W = 50 x 9.8

W = 490 N

4. An object is accelerating when it speeds up. If the object slows down, it means it is decelerating. The correct answer is option A

5. Newton's second law of motion is:

F = ma

Where F = force applied, m = mass and a = acceleration

Therefore, Newton's second law of motion relates an object's acceleration to its net force acting on it. The correct answer is option C

6. According to Newton's second law of motion which relates an object's acceleration to its mass, doubling the net force acting on an object a doubles its acceleration. Because mass is always constant.

7. Since the weight of an object is related to its mass with the equation.

W = mg,  If the mass of an object doubles, its weight will also doubles. Option A is the correct answer.

8. If you know the mass of an object, you can calculate its weight with the formula F = mX when X = 9.8m/[tex]s^{2}[/tex]

9. Force is expressed in unit as Newton (N)

10. The parameters given are :

mass m = 20kg

Force F = 40N

To calculate acceleration, use the formula F = ma

Substitute all the parameters into the equation.

40 = 20a

a = 40/20

a = 2m/[tex]s^{2}[/tex]

The correct option is D

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A whale comes to the surface to breathe and then dives at an angle of 20.0 ∘ below the horizontal (see the figure (Figure 1)). If the whale continues in a straight line for 160 m , how deep is it? How far has it traveled horizontally?

Answers

Answer:

The question is missing something it doesn't say how fast down its going and doesn't show the figure sorry for wasting an answer

How much energy does your soda lose if 25.0g of water condenses on the outside of the can?

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The mass given is 25.0 grams. As for the change in temperature, I will assume that it start off at room temperature, 25°C.

Describe how kinetic energy is needed to increase the system's potential energy.

Answers

Answer:

kinetic energy is needed for potential energy since without kinetic energy potential energy would not have the potential energy to do anything

sorry if it doesn't make sense

Explanation:

youre holding a ball in the sky that is potential energy since it has the potential to fall. the kinetic energy is when it falls and lastly the potential is when it hits the floor..

Barnard's star distance from earth in light years​

Answers

Answer:

5.978 años luz

Explanation:

Hi! Your answer is: The distance between the Barnard's star and Earth is 5.978 light years.

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