Laws Of Motion Question 127

Question: A cylinder of 10 kg is sliding in a plane with an initial velocity of 10 m/s. If the coefficient of friction between the surface and cylinder is 0.5 then before stopping, it will cover. $ (g=10m/s^{2}) $ [Pb. PMT 2004]

Options:

A)2.5 m

B)5 m

C)7.5 m

D)10 m

Show Answer

Answer:

Correct Answer: D

Solution:

Kinetic energy of the cylinder will go against friction $ \therefore $ $ \frac{1}{2}mv^{2} $ =$ \mu \ mgs $ therefore $ s=\frac{v^{2}}{2\mu \ g}=\frac{{{(10)}^{2}}}{2\times (0.5)\times 10}=10m $



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