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
The coefficient of restitution e for a perfectly elastic collision
1
zero
infinite
-1
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
If kinetic energy of a body is increased by 300% then the percentage change in momentum will be
100%
150%
265%
73.2%
A stone is thrown at an angle of 45o to the horizontal with kinetic energy K. The kinetic energy at the highest point is
K
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
A force F acting on an object varies with distance x as shown here. The force is in newton and x is in metre. The work done by the force in moving the object x = 0 to x = 6m is
4.5 J
13.5 J
9.0 J
18.0 J
If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is
50%
125%
200%
A force acts on a 3.0 g particle in such a way that the position of the particle as a function of time is given by x = 3 t – 4 t 2 + t 3, where x is in meter and t in second. The work done during the first 4 s is
570 mJ
450 mJ
490 mJ
528 mJ
A body of mass m moving with velocity 3 km/h collides with a body of mass 2.m at rest. Now the coalesced mass starts to move with a velocity
1 km/h
2 km/h
3 km/h
4 km/h