A block of mass M is being pushed along a rough, horizontal surface by an applie

Question

A block of mass M is being pushed along a rough, horizontal surface by an applied force as shown at right. The block moves along the positive x-direction at a constant speed. The coefficients of static and kinetic friction at the interface are mu S and mu K, respectively. Which of the following statements about this situation are necessarily correct? The net force acting on the block is zero. The magnitude of the force of friction acting on the block is mu KMg. The magnitude of the force of friction acting on the block is Fa cos thtea The magnitude of the normal force acting on the block is Mg. None p, q, & r only p & r only q, & s only

Explanation / Answer

Since the block is moving with constant speed , so the net force acting on the block is zero. So (p) is correct .

The net force acting on the block in y direction is Fsin + Mg . So normal reaction is Fsin + Mg and

friction = k(Fsin + Mg ) . so option (q) is incorrect.

The component of the applied force in x direction is Fcos . As block moves with constant speed. So net force in x direction should be zero. So fricton which opposes the force applied in x-direction should be Fcos. So option (r) is correct

The normal force acting is Mg + Fsin. So option (s) is incorect.

So (p) & (r ) are correct . Option (C)

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