Question

A small body of mass Ikg is projected with initial velocity 103 m's on a rough horizontal
surface. The coefficient of friction between the body and surface varies as u = 5x where x is the
displacement of the body. The distance travelled by the body before coming to rest is​

Answer 1

Explanation:

Here , maximum value of static friction that can act on the body = μ

s

mg

= 25 N

(i) Since the applied force is less than the maximum possible value of static friction

therefore , the force of friction will be just enough to stop the motion of the body.

Here , friction force = 15 N

(ii) Here, applied force = maximum possible value of static friction.

Friction force = 25 N

(iii) Here , applied force > maximum value of static friction.

Therefore , the body moves and kinetic friction acts on the body.

Friction force = μ

k

mg = 20 N.