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Question: A body of mass 25 kg is dragged on a rough horizontal floor for one hour with a speed of2 kmh<sup>–1...

A body of mass 25 kg is dragged on a rough horizontal floor for one hour with a speed of2 kmh–1. The coefficient of friction for the surface in contact is 0.5 and half the heat produced is absorbed by the body. If specific heat of body is

0.1 cal g–1 (0C–1) and g = 9.8 ms–2, then the rise in temperature of body is:

A

39 K

B

59.5 K

C

84.5 K

D

11.6 K

Answer

11.6 K

Explanation

Solution

0.5 × mMg × (V × 60 × 60) = MSDT

DT = 0.5×0.5×9.8×2×518×60×600.1×4.186×103\frac{0.5 \times 0.5 \times 9.8 \times 2 \times \frac{5}{18} \times 60 \times 60}{0.1 \times 4.186 \times 10^{3}}