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1.
A cricket ball of mass 0.25 kg with speed 10 m/s collides with a bat and returns with same speed with in 0.01 s. The force acted on bat is
2.
Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is 
. What should be the minimum radius of the wire used if it is not to break? Take 
. What should be the minimum radius of the wire used if it is not to break? Take
3.
A flat plate moves normally with a speed 
towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume 
per second at a speed of 
. The density of water is 
. Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is
towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume per second at a speed of . The density of water is . Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is
4.
The rate of the mass of the gas emitted from rear of a rocket is initially 0.1
. If the speed of the gas relative to the rocket is 
and mass of the rocket is 2 kg, then the acceleration of the rocket (in 
is
. If the speed of the gas relative to the rocket is and mass of the rocket is 2 kg, then the acceleration of the rocket (in is
5.
A block can slide on a smooth inclined plane of inclination 
kept on the floor of a lift. When the lift is descending with a retardation 
, the acceleration of the block relative to the incline is
kept on the floor of a lift. When the lift is descending with a retardation , the acceleration of the block relative to the incline is
6.
Two masses 
and 
are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is
and are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is
7.
Block 
of mass 2 kg is placed over a block 
of mass 8 kg. The combination is placed on a rough horizontal surface. If 
, coefficient of friction between and floor =0.5, coefficient of friction between and = 0.4 and a horizontal force of 10 N is applied on 8 kg block, then the force of friction between and is
of mass 2 kg is placed over a block of mass 8 kg. The combination is placed on a rough horizontal surface. If , coefficient of friction between and floor =0.5, coefficient of friction between and = 0.4 and a horizontal force of 10 N is applied on 8 kg block, then the force of friction between and is
8.
A horizontal force 
is applied on a block mass 
placed on a rough inclined plane of inclination 
. The normal reaction 
is
is applied on a block mass placed on a rough inclined plane of inclination . The normal reaction is
9.
The coefficient of static friction, 
, between block of mass 
and the table as shown in the figure is 
. What would be the maximum mass value of block so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless 
, between block of mass and the table as shown in the figure is . What would be the maximum mass value of block so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless
10.
A block of mass 4 kg is suspended through two light spring balances A and B, Then A and B will read respectively
