You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Physics

Potential Energy of an Object at a Height

The potential...

Question

The potential energy of a body of mass 0.5 kg increases by 100 J when it is taken to the top of a tower from ground. If force of gravity on 1 kg is 10 N. what is the height of the tower ?

Open in App

Solution

Force of gravity on 1kg is 10 N
F = mg
10 = 1 * g
g = 10 $bevelled fraction numerator m over denominator s e c squared end fraction$

Change in Potential energy = mg * ( h2 - h1 )
= mg * ( h - 0 )
= mgh

100 = mgh
h = $fraction numerator 100 over denominator m g end fraction$
h = $fraction numerator 100 over denominator 0.5 cross times 10 end fraction$
h = 20 m

Height of the tower is 20 m

Suggest Corrections

Similar questions

Find the gravitational potential energy of 2.5 kg mass kept at a height of 15 m above the ground. The force of gravity on mass 1 kg is 10 N.

A body of mass mis moved from ground to a height h. If gorce of gravity on mass of 1 kg is g newton, find : (a) the force needed to lift the body, (b) the work done in lifting the body and (c) the potential energy stored in the body.

Q. Single Correct Answer Type
A body of mass

m

is projected horizontally with a velocity

v

from the top of a tower of height

h

and it reaches ground at a distance

x

from the top of a tower. If a second body of mass

2 m

is projected horizontally from the top of a tower of height

2 h

, it reaches the ground at a distance

2 x

from the tower. The horizontal velocity of second body is

Q. A body of mass

0.5 k g

is taken to a height

R_{e}

above the earth's surface, where

R_{e}

is the radius of the earth. If the body is now raised through a height of

2 m

, what is the increase in its potential energy?

Q. If acceleration due to gravity is

10 m s^{- 2}

, what is the potential energy of a body of mass

1 k g

kept at a height of

5 m

Join BYJU'S Learning Program

The potential energy of a body of mass 0.5 kg increases by 100 J when it is taken to the top of a tower from ground. If force of gravity on 1 kg is 10 N. what is the height of the tower ?

Force of gravity on 1kg is 10 N F = mg 10 = 1 * g g = 10 Change in Potential energy = mg * ( h2 - h1 ) = mg * ( h - 0 ) = mgh 100 = mgh h = h = h = 20 m Height of the tower is 20 m