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Question: A steel ball of mass 0.1 kg falls freely from a height of 10 m and bounces to a height of 5.4 m from...

A steel ball of mass 0.1 kg falls freely from a height of 10 m and bounces to a height of 5.4 m from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is - (Specific heat of steel = 460 J/kg/ºC, g = 10 m s–2)

A

0.010C

B

0.10C

C

10C

D

1.10C

Answer

0.10C

Explanation

Solution

mg(h1 – h2) = msDq

Dq = g(h1h2)5\frac{g(h_{1} - h_{2})}{5} = 10×4.4460\frac{10 \times 4.4}{460} = 44460\frac{44}{460} = 0.1 0C