Work, Energy and Power · Question 7

An object moving along horizontal x-direction with kinetic energy 10 J is displaced through x = (3 i) m by the force F = (-2 i + 3 j) N. The kinetic energy of the object at the end of the displacement x is

1. 10 J
2. 16 J
3. 4 J
4. 6 J

An object falls from a height of 10 m above the ground. After striking the ground it loses 50\% of its kinetic energy. The height upto which the object can rebound from the ground is:

1. 7.5 m
2. 10 m
3. 2.5 m
4. 5 m

The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm, potential energy stored in it will be :

1. 4U
2. 8U
3. 16U
4. 2U

An electric lift with a maximum load of 2000 kg (lift + passengers) is moving up with a constant speed of 1.5 ms-1. The frictional force opposing the motion is 3000 N. The minimum power delivered by the motor to the lift in watts is : (g = 10 ms-2)

1. 23000
2. 20000
3. 34500
4. 23500

A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively -

1. S4, 3gS2
2. S4, 3gS2
3. S4, 3gS2
4. S2, 3gS2

Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10\% of the input energy. How much power is generated by the turbine? (g = 10 m/s2)

1. 7.0 kW
2. 10.2 kW
3. 8.1 kW
4. 12.3 kW

A force F = 20 + 10y acts on a particle in y-direction where F is in newton and y in meter. Work done by this force to move the particle from y = 0 to y = 1 m is :

1. 5 J
2. 25 J
3. 20 J
4. 30 J

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when :

1. the wire is horizontal
2. inclined at an angle of 60 from vertical
3. the mass is at the lowest point
4. the mass is at the highest point

Body A of mass 4m moving with speed u collides with another body B of mass 2 m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A is :

1. 59
2. 49
3. 89
4. 19

A moving block having mass m, collides with another stationary block having mass 4m. The lighter block comes to rest after collision. When the initial velocity of the lighter block is v, then the value of coefficient of restitution (e) will be

1. 0.5
2. 0.25
3. 0.8
4. 0.4