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A body of mass 20 kg is moving on a roug...

A body of mass 20 kg is moving on a rough horizontal plane. A block of mass 3kg is connected to the 20 kg mass by a string of negligible mass through a smooth pulley as shown in the below figure. The tension in the string is 27 N. The coefficient of kinetic friction between the heavier mass and the surface is `(g = 10 m//s^(2))` :

A

0.025

B

0.035

C

0.35

D

0.25

Text Solution

Verified by Experts

The correct Answer is:
B

`a = (3g - mu xx 20g)/(20 + 3)`
`3g = - T = 3 xx a`
`30 - 27 = 3a`
`a = 1 = (30 - 200 mu)/(23)`
`mu = (7)/(200) = 0.035`
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