A small block slides along a path that is without friction until the block reaches the section L = 3m, which begins at height h = 3m on a flat incline of angle 37°, as shown. In that section, the coefficient of kinetic friction is 0.50. The block passes through point A with a speed of 
m/s. Find the speed (in m/s) of the block as it passes through point B where the friction ends, (Take g = 10 m/s 2 )
Text Solution
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(4)
Sol. Applying work-energy theorem between A and B.
mV B 2 – 
mV A 2 = W gravity + W friction
⇒ 
mV B 2 – 
m (136) = – mg (3 + 3 sin 37°) – µmg cos 37º x 3
⇒ 
– 
= – 48 – 12 ⇒ V B = 4 m/s
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