Previous Question/info What is the gravitational potential energy of a child of mass of 30 kg that is playing in a 300 m rooftop?. Show the computation.  m= 30kg h= 300m = 30x g*8x300 =88200 j U= 882x10^2 J = 88200 J is the answer -------------------------------------------------------------------------------------- Previous Question/info If the mass of the child of question 1 is doubled, does the gravitational potential energy increase or decrease by how much? Mass of a child = m = 30 kg Height of building= 300 m Potential energy = 88200 J Mass of child is doubled Then mass of child = 60 kg Initial potential energy = mgh = 88200 J New potential energy = mnew × g × h New potential energy = 2 m × g × h New potential energy = 2 × (m × g × h) New potential energy = 2 × 88200 J New potential energy = 176400 J Gravitational potential energy becomes doubled. Then potential energy increases by = (176400-88200) J = 88200 ----------------------------------------------------------------------------------------------- Previous Question/info If the height of the child of question 1 is doubled, does the gravitational potential energy increase or decrease?, by how much?. EXPLAIN.  In question 1 given parameters are  -                             Mass of child(m) = 30 Kg                                         Height(H) = 300 m Now we will doube the height, so new height will be -                                     New height(H') = 2×300 = 600 m Now again applying the formula of potential energy -                                        U' = mgH' .........(1) Put the given value in equation(1) to get the answer.                                         U' = 30×9.8×600 = 176400 Joule                  Change in potential energy ∆U = U'-U =176400-88200 = 88200 joule So, the potential energy will increase by 88200 Joule.    --------------------------------------------------------------------------------------------------- NOW            If the height of the child of question 1 halved, does the gravitational potential energy increase or decrease?, by how much?. EXPLAIN.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 14CQ: Two stones, one with twice the mass of the other, are thrown straight up and rise to the same height...
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Previous Question/info

What is the gravitational potential energy of a child of mass of 30 kg that is playing in a 300 m rooftop?. Show the computation. 

m= 30kg
h= 300m
= 30x g*8x300
=88200 j
U= 882x10^2 J = 88200 J is the answer

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Previous Question/info

If the mass of the child of question 1 is doubled, does the gravitational potential energy increase or decrease by how much?

Mass of a child = m = 30 kg
Height of building= 300 m
Potential energy = 88200 J

Mass of child is doubled
Then mass of child = 60 kg
Initial potential energy = mgh = 88200 J
New potential energy = mnew × g × h
New potential energy = 2 m × g × h
New potential energy = 2 × (m × g × h)
New potential energy = 2 × 88200 J
New potential energy = 176400 J
Gravitational potential energy becomes doubled.
Then potential energy increases by = (176400-88200) J = 88200

-----------------------------------------------------------------------------------------------

Previous Question/info

If the height of the child of question 1 is doubled, does the gravitational potential energy increase or decrease?, by how much?. EXPLAIN. 

In question 1 given parameters are  - 

                           Mass of child(m) = 30 Kg

                                        Height(H) = 300 m

Now we will doube the height, so new height will be - 

                                   New height(H') = 2×300 = 600 m

Now again applying the formula of potential energy - 

                                      U' = mgH' .........(1)

Put the given value in equation(1) to get the answer.

                                        U' = 30×9.8×600 = 176400 Joule                 

Change in potential energy ∆U = U'-U =176400-88200 = 88200 joule

So, the potential energy will increase by 88200 Joule.   

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NOW           

If the height of the child of question 1 halved, does the gravitational potential energy increase or decrease?, by how much?. EXPLAIN.                    

                 

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