1.A motorcyclist of mass m is to negotiate a curve of radius r with a speed v. The minimum value of the coefficient of friction so that this negotiation may take place safely, is

a) \[v^{2} rg\]

b) \[\frac{v^{2}}{gr}\]

c) \[\frac{gr}{v^{2}}\]

d) \[\frac{g}{v^{2}r}\]

Explanation: \[\frac{v^{2}}{gr}\]

2.On a rough horizontal surface, a body of mass 2 kg is given a velocity of 10 m/s. If the coefficient of friction is 0.2 and \[g=10 m\diagup s^{2}\] , the body will stop after covering a distance of

a) 10 m

b) 25 m

c) 50 m

d) 250 m

Explanation:

3. A block of mass 50 kg can slide on a rough horizontal surface. The coefficient of friction between the block and the surface is 0.6. The least force of pull acting at an angle of 30° to the
upward drawn vertical which causes the block to just slide is

a) 29.43 N

b) 219.6 N

c) 21.96 N

d) 294.3 N

Explanation:

F = 294.3 N

4.A body of 10 kg is acted by a force of 129.4 N if \[g=9.8 m\diagup s^{2}\] . The acceleration of the block is \[10 m\diagup s^{2}\] . What is the coefficient of kinetic friction

a) 0.03

b) 0.01

c) 0.30

d) 0.25

Explanation:

5. Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the
road is unbanked, should be

a) 25 m/s

b) 19 m/s

c) 14 m/s

d) 11 m/s

Explanation:

6. Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the
car can be stopped is [ g = 10 ms^{-2}]

a) 30 m

b) 40 m

c) 72 m

d) 20 m

Explanation:

7. A 500 kg horse pulls a cart of mass 1500 kg along a level road with an acceleration of \[1 m\ s^{-2}\] . If the coefficient of sliding friction is 0.2, then the force exerted by the horse in forward
direction is

a) 3000 N

b) 4000 N

c) 5000 N

d) 6000 N

Explanation:

8. The maximum speed of a car on a road turn of radius 30m; if the coefficient of friction between the tyres and the road is 0.4; will be

a) 9.84 m/s

b) 10.84 m/s

c) 7.84 m/s

d) 5.84 m/s

Explanation:

9.A block of mass 50 kg slides over a horizontal distance of 1 m. If the coefficient of friction between their surfaces is 0.2, then work done against friction is

a) 98 J

b) 72J

c) 56 J

d) 34 J

Explanation:

10. On the horizontal surface of a truck \[\left(\mu =0.6\right)\] , a block of mass 1 kg is placed. If the truck is accelerating at the rate of 5 m/sec^{2}
then frictional force on the block will be

a) 5 N

b) 6 N

c) 5.88 N

d) 8 N

Explanation: