Question

How high must the body be lifted to gain an amount of potential energy equal to the kinetic energy it has when moving at a speed of 20m/s? g=9.8m/s2

Answer 1

m = mass of the body lifted

v = speed of the body = 20 m/s

h = height to which body gets lifted

g = acceleration due to gravity = 9.8 m/s²

Using conservation of energy

Potential energy gained = kinetic energy of the body

m g h = (0.5) m v²

dividing both side by "m"

g h = (0.5) v²

inserting the values in the above equation

(9.8) h = (0.5) (20)²

h = 20.4 m

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Answer 2

Explanation:

mgh =1/2mv2 i.e. 9.8 h = 1/2 × 20 × 20 h = 200/9.8= 20.4 m....

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