A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is
1. 84J
2. 68J
3. 23J
4. 8J
Two springs with spring constants = 1500 N/m and = 3000 N/m are stretched by the same force. The ratio of potential energy stored in the springs will be
1. 2:1
2. 1:2
3. 4:1
4. 1:4
A block of mass 2 kg moving with velocity of 10 m/s on a smooth surface hits a spring of force constant N/m as shown. The maximum compression in the spring is
1. 5 cm
2. 10 cm
3. 15 cm
4. 20 cm
A particle of mass 10 kg is moving with velocity of m/s, where x is displacement . The work done by net force during the displacement of particle from x = 4 to x = 9 m is
1. 1250 J
2. 1000 J
3. 3500 J
4. 2500 J
The relation between velocity (v) and time (t) is , then which one of the following quantity is constant?
1. Force
2. Power
3. Momentum
4. Kinetic Energy
A particle is moving on the circular path of the radius (R) with centripetal acceleration . Then the correct relation showing power (P) delivered by net force versus time (t) is
1. 1
2. 2
3. 3
4. 4
A body is displaced from (0,0) to (1m,1m) along the path x=y by a force . The work done by this force will be :
1.
2.
3.
4.
A weightless rod of length 2l carries two equal mass 'm', one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in a vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in the horizontal position. The speed of the mass B at the instant rod becomes vertical is:
1. \(\sqrt{\frac{3 g l}{5}} \)
2. \(\sqrt{\frac{4 g l}{5}} \)
3. \(\sqrt{\frac{6 g l}{5}} \)
4. \(\sqrt{\frac{7 g l}{5}} \)
A force F is applied on a body which moves with a velocity v in the direction of the force, then the power will be
1.
2. Fv
3.
4. F/v