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
If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is
50%
100%
125%
200%
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
Two equal masses m1 and m2 moving along the same straight line with velocities +03 m/s and -5 m/s respectively collide elastically. There velocities after the collision will be respectively
+ 4 m/s for both
-3 m/s and +5 m/s
- 4 m/s and + 4 m/s
-5 m/s and +3 m/s
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
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
If kinetic energy of a body is increased by 300% then the percentage change in momentum will be
150%
265%
73.2%
Water falls from a height of 60 m at the rate of 15kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine? (Take g = 10 m/s2)
8.1 kW
10.2 kW
12.3 kW
7.0 kW
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
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