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
A body starts moving from rest in straight line under a constant power source. Its displacement in time t is proportional to
(1)
(2) t
(3)
(4)
A block of mass m = 25 kg on a smooth horizontal surface with a velocity =3 meets the spring of spring constant k = 100 N/m fixed at one end as shown in the figure. The maximum compression of the spring and velocity of the block as it returns to the original position respectively are:
1. 1.5 m, -3
2. 1.5 m, 0
3. 1.0 m, 3
4. 0.5 m, 2
The velocity, given to the block of mass (m), is to rotate it in a circle of radius l. Calculate the height (h) where the block leaves the circle.
1.
2.
3.
4. None of these
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 projectile of mass 50 kg is shot vertically upwards with an initial velocity of 100ms-1. After 5 seconds it explodes into two fragments, one of which having mass 20 kg, travels vertically up with a velocity of 150 ms-1. The velocity of the other fragment at that instant is: [Take g= 9.8 m/]
1. 100 ms-1
2. 150 ms-1
3. -150 ms-1
4. -15 ms-1