A bomb of mass 30kg at rest explodes into two pieces of masses 18kg and 12kg. The velocity of 18kg mass is 6ms-1. The kinetic energy of the other mass is
256 J
486 J
524 J
324 J
Two bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum. The ratio of their masses is
1 : 2
1 : 1
4 : 1
1 : 4
If kinetic energy of a body is increased by 300% then the percentage change in momentum will be
100%
150%
265%
73.2%
If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is
50%
125%
200%
300 J of work is done in sliding a 2kg block up an inclined plane of height 10 m. Taking g = 10 m/s2, work done against friction is
200 J
100 J
zero
1000J
A bullet of mass 10g leaves a rifle at an initial velocity of 1000m/s and strike the earth at the same level with a velocity of 500m/s. The work done in joule to overcome the resistance of air will be
375
3750
5000
500
A position dependent force F=(7–2x + 3x2) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5m.
Work done in joule is
35
70
135
270
The KE acquired by a mass m in traveling a certain distance d, starting from rest, under the action of a constant force is directly proportional to
m
independent of m
The coefficient of restitution e for a perfectly elastic collision
1
infinite
-1
The identical balls A and B moving with velocities + 0.5 m/s and -0.3 m/s respectively collide head on elastically. The velocity of the balls A and B after collision will be respectively
+ 0.5 m/s and +0.3 m/s
-0.3 m/s and +0.5 m/s
+0.3 m/s and 0.5 m/s
-0.5 m/s and +0.3 m/s