A mass of 1 kg kept in a inclined plane with 30∘ inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4m/s. The work done by the frictional force in time 2 s is ______ J. (Take g=10m/s2)
(A)20✓ Correct
(B)25
(C)30
(D)10
Answer: (A)
Solution
While the block rests on the incline, static friction balances the component of gravity along the surface, f=mgsin30∘=1×10×0.5=5N, directed up the incline. When the whole assembly is carried vertically upward at constant speed the block stays in equilibrium, so this friction force is unchanged in magnitude and direction. In 2s the vertical displacement is d=4×2=8m. The friction force points up the incline, which makes an angle of 60∘ with the vertical displacement, so the work done is W=fdcos60∘=5×8×0.5=20J. The work done by the frictional force is 20J.
JEE Main · 2026 · 05 Apr 2026 · Shift 2 · Single correct option