A mass of 10 kg falls from a height of 50 cm. Calculate (i) Velocity of the body (ii) Kinetic energy of body when it just reaches the ground level. Does the velocity depend upon the mass of the particle? Explain. (Take g = 10 ms)
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Given,
mass:10kg,height:50cm=0.5m
Find,
velocity of body,kinetic energy of body when reaches ground level
Solution,
- as the body dropped from height,when it reaches the ground level,all the potential energy converted to kinetic energy.
- potential energy=mass×g×height
=10×10×0.5(taking g as 10m/s²)
=50joules
So kinetic energy=50joules
we also know the formula of kinetic energy:1/2mv²=50joules
v²=10
v=3.16m/s
velocity does not depend upon mass of the particle because the acceleration due to gravity does not depend on mass
so the answer is a)3.16m/s b)50J
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