Q. 75.0( 2 Votes )

An iron sphere of mass 30 kg has the same diameter as an aluminum sphere whose mass is 10.5 kg. The spheres are dropped simultaneously from a cliff. When they are 10 m from the ground, they have the same:
A. acceleration

B. momentum

C. potential energy

D. kinetic energy

Answer :

Given,

Mass of iron m = 30 kg


Mass of aluminium M = 10.5 kg


Height of iron h = 10m


Height of aluminum H = 10m


We know,


Kinetic energy = m v2


Potential energy = m × g × h


Momentum = mass × velocity


So kinetic energy, potential energy, kinetic energy and momentum depends of the mass of the body, they can’t be same for both spheres.


But acceleration due to gravity g = 10 ms-2 is same for all the objects at some height, irrespective of their mass and height.

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