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1.
A force of 
is required to just start moving a body of mass 
over ice. The coefficient of static friction is
is required to just start moving a body of mass over ice. The coefficient of static friction is
2.
Two bodies 
and 
of masses 10 kg and 15 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If 
represents the tension in the spring when a horizontal force 
is applied to (as shown in figure 1) and T
be the tension when it is applied to (figure 2), then which of the following is true
and of masses 10 kg and 15 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If represents the tension in the spring when a horizontal force is applied to (as shown in figure 1) and T be the tension when it is applied to (figure 2), then which of the following is true
3.
A stationary body of mass 3 kg explodes into three equal pieces. Two of the pieces fly off in two mutually perpendicular directions, one with velocity of 
and the other with a velocity of 
. If the explosion occurs in 
, the force acting on the third piece in newtons is
and the other with a velocity of . If the explosion occurs in , the force acting on the third piece in newtons is
4.
In the first second of its flight, rocket ejects 
of its mass with a velocity of 
. The acceleration of the rocket is
of its mass with a velocity of . The acceleration of the rocket is
5.
The backside of a truck is open and a box of 
is placed 
away from the rear end. The coefficient of friction of the box with the surface of the truck is 0.15. The truck starts from rest with 
acceleration. Calculate the distance covered by the truck when the box falls off
is placed away from the rear end. The coefficient of friction of the box with the surface of the truck is 0.15. The truck starts from rest with acceleration. Calculate the distance covered by the truck when the box falls off
6.
A gun fires bullet each of mass 1 g with velocity of 
by exerting a constant force of 5 g weight. Then the number of bullets fired per second is
by exerting a constant force of 5 g weight. Then the number of bullets fired per second is
7.
A piece of wire is bent in the shape of a parabola 
-axis vertical) with a bead of mass 
on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the 
-axis with a constant acceleration
. The distance of the new equilibrium position of the bead, where the bead can stays at rest with respect to the wire, from the 
-axis is
-axis vertical) with a bead of mass on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration. The distance of the new equilibrium position of the bead, where the bead can stays at rest with respect to the wire, from the -axis is
8.
A force-time graph for a linear motion of a body is shown in the figure. The change in linear momentum between 0 and 7 s is
9.
A wooden wedge of mass 
and inclination angle 
rests on a smooth floor. A block of mass is kept on wedge. A force 
is applied on the wedge as shown in figure, such that a block remains stationary with respect to wedge. The magnitude of force is
and inclination angle rests on a smooth floor. A block of mass is kept on wedge. A force is applied on the wedge as shown in figure, such that a block remains stationary with respect to wedge. The magnitude of force is
10.
A machine gun fires a bullet of mass 
with a velocity 
. The man holding it can exert a maximum force of 
on the gun. How many bullets can he fire per second at the most
with a velocity . The man holding it can exert a maximum force of on the gun. How many bullets can he fire per second at the most