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Question: A block of mass 100 gm slides on a rough horizontal surface. If the speed of the block decreases fro...

A block of mass 100 gm slides on a rough horizontal surface. If the speed of the block decreases from 10 m/s to 5 m/s, the thermal energy developed in the process is

A

3.75 J

B

37.5 J

C

0.375 J

D

0.75 J

Answer

3.75 J

Explanation

Solution

According to energy conservation, change in kinetic

energy appears in the form of heat (thermal energy).

⇒ i.e. Thermal energy =12m(v12v22)= \frac{1}{2}m(v_{1}^{2} - v_{2}^{2}) [W(Joule)=Q(Joule)]\left\lbrack \because\underset{(\text{Joule})}{W} = \underset{(\text{Joule})}{Q} \right\rbrack

=12(100×103)(10252)=3.75J= \frac{1}{2}(100 \times 10^{- 3})(10^{2} - 5^{2}) = 3.75J