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
An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of water jet. What is the rate at which kinetic energy is imparted to water?
½ mv3
mv3
½ mv2
½ m2v2
The coefficient of restitution e for a perfectly elastic collision
1
zero
infinite
-1
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
Two masses 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is
1 : 9
9 : 1
1 : 3
3 : 1
If kinetic energy of a body is increased by 300% then the percentage change in momentum will be
100%
150%
265%
73.2%
A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum but their different kinetic energies are E1 and E2 respectively. If m1> m2, then
E1 < E2
E1 > E2
E1 = E2
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
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
1000J
If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is
50%
125%
200%
