an object of mass m is dropped from hight H at what height the potential energy of the body please twice that of its kinetic energy
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ANSWER
Let a body of mass
′
m
′
placed at a height
′
h
′
above the ground, start falling down from rest.`
When the body falls from a height h to h/2, the potential energy is given as
2
mgh
.
The body covers the distance h/2 with a velocity v. We make use of the third equation of motion to obtain velocity of the body.
v
2
−u
2
=2aS
Here, u=0,a=g and S=x
v
2
−0=
2
2gh
,thatisv
2
=gh
Kinetic energy =
2
1
mv
2
That is, K.E=
2
mgh
Hence, at height h/2 the energy possessed is half potential energy and half the kinetic energy.
Explanation:
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Answer:
A particle is released from height
. At cartain height from the ground its kinetic energy is twice its gravitational potential energy. Find the height and speed of particle at that height.