Q.

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Read the following statements and choose the correct options.

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a

Work done by external agent to move block slowly from position B to O is negative

b

Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.

c

If both inclines are rough with a small but same coefficient of friction, and A & B are released to slide on the inclines, they reach the bottom of incline with same speed.

d

Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane

answer is B, C.

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Detailed Solution

A : Work done by gravity is same for motion from A to Z and B to M for equal mass. So K.E. will be equal.
B : Acceleration =gsinθ
C: Wg + Wext = 0 (Because moved slowly)
Wext = -Wg
Wg is positive so  Wext < 0

D: Work done by friction on B is more.

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