A particle is released from a height of S above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively: 

1. S2, 3gS2

2. S4, 3gS2

3. S4, 3gS2

4. S4, 3gS2

Subtopic:  Conservation of Mechanical Energy |
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Body A of mass 4m moving with speed u collides with another body B of mass 2m 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. 19

3. 89

4. 49

Subtopic:  Collisions |
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When an object is shot from the bottom of a long, smooth inclined plane kept at an angle of 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1:x2 will be:

1. 1:23

2. 1:2

3. 2:1

4. 1:3

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

1. 20 J

2. 30 J

3. 5 J

4. 25 J

Subtopic:  Work Done by Variable Force |
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A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

1. inclined at an angle of 600 from vertical.

2. the mass is at the highest point.

3. the wire is horizontal.

4. the mass is at the lowest point.

Subtopic:  Gravitational Potential Energy |
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A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has speed of 20 cm/s. How much work is needed to stop it?

1. 1 J

2. 3 J

3. 30 J

4. 2 J

Subtopic:  Work Energy Theorem |
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An object of mass 500 g initially at rest is acted upon by a variable force whose x-component varies with x in the manner shown. The velocities of the object at the points x = 8 m and x = 12 m would have the respective values of nearly:

1. 18 m/s and 24.4 m/s

2. 23 m/s and 24.4 m/s

3. 23 m/s and 20.5 m/s

4. 18 m/s and 20.5 m/s

Subtopic:  Work Energy Theorem |
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Water falls from a height of 60m 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? (g=10 m/s2)

1. 8.1 kW                                        2. 10.2 kW

3. 12.3 kW                                      4. 7.0 kW

Subtopic:  Power |
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The energy that will be ideally radiated by a 100 kW transmitter in 1 hour is :
1.  1 × 105 J
2.  36 × 107 J
3.  36 × 104 J
4.  36 × 105 J
Subtopic:  Power |
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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=10ms-2)
1. 23500 
2. 23000 
3. 20000 
4. 34500
Subtopic:  Power |
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