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  • An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same

An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same

(a) acceleration

(b) momenta

(c) potential energy

(d) Kinetic energy

Answers (1)

Answer:  [A]

Solution.

When a body falls under gravity, the body’s acceleration does not depend on mass of the body.
Therefore, acceleration for both the spheres will be same at that instant.
Their velocities will be the same at that instant too.
v = u + at
Momentum and kinetic energy depend on speed as well as mass.
KE=\frac{1}{2}mv^{2}

P=mv
As mass of both the spheres is different; however, speed is the same; hence their momentum and kinetic energy will be different.
Gravitational potential energy is defined as:
PE=mgh
Therefore, it would be different for both the spheres of different mass at same the height.
Hence, the correct answer is option A.

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