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What is the minimum velocity with which a body of mass m must enter vertical loop of radius R so that it can complete the loop?

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Important Questions on Work, Energy and Power

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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Previous Year Questions)>Q 25
Two particles of masses m1, m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to higher level after absorbing energy ε . If final velocities of particles be v1 and v2, then we must have,
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 1
‘A body of mass 10 Kg is displaced from point A2,1,3 to point B(3, 3, 4) B3,3,4under the effect of a force of magnitude 20 N in the direction of 6i^ + 8j^. Calculate W.D. by the force :
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 3
A body of mass m, accelerates uniformly from rest to v1 in time t1. The instantaneous power delivered to the body as a function of time t is
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 4

The only force Fx acting on a 2.0 kg body, as it moves along the x-axis varies as shown in the figure. The velocity of the body along positive x-axis at x = 0 is 4 m/s. The kinetic energy of the body at x = 3 m is : 

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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 5
A machine which is 75% efficient, uses 12 J of energy in lifting 1 kg mass through a certain distance. The mass is then allowed to fall through the same distance, the velocity at the end of its fall is :-
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 6
A variable force, given by the 2-dimensional vector F→=(3x2i^ + 4j^), acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates (2, 3) to (3, 0) ? (The coordinates are in meters)
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 7
A mass m is attached to the end of a rod of length l. The mass goes along a vertical circular path with the other end hinged at its centre. What should be the minimum velocity of the mass at the bottom of the circle so that the mass completes the circle?
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Beta Question Bank for Medical: Physics>Chapter 8 - Work, Energy and Power>Exercise (Analytical Questions)>Q 8
A stone is tied to a string of length l and is whirled in a vertical circle with the other end of the string as the centre.At a certain instant of time, the stone is at its lowest position and has a speed u.The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity)