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A block of mass 2 kg is pulled up a rough inclined plane of inclination with a constant force parallel to the incline. The coefficient of kinetic friction between the block and the plane is 0.2. If the block moves with a constant speed of 2 m/s, the power delivered by the force is:
20 W
26.39 W
30 W
40 W
A particle is subjected to a conservative force whose potential energy is given by , where 'a' and 'b' are positive constants. At what value of 'x' is the particle in stable equilibrium?
0
2a/3b
a/b
3b/2a
A small ball attached to a massless string is undergoing vertical circular motion. At the highest point of its trajectory, the tension in the string is zero. Which of the following statements is TRUE about the ball's mechanical energy as it moves from the highest point to the lowest point in the circle?
The kinetic energy increases, and the potential energy decreases, such that the total mechanical energy remains constant.
The kinetic energy decreases, and the potential energy increases, such that the total mechanical energy remains constant.
Both the kinetic energy and potential energy decrease, but the total mechanical energy remains constant.
Both the kinetic energy and potential energy increase, but the total mechanical energy remains constant.
A solid sphere rolls without slipping down an inclined plane of angle . What fraction of its total kinetic energy is rotational?
1/2
1/5
2/7
2/5
A particle of mass moving with velocity collides elastically with another particle of mass at rest. If the lighter particle is deflected through an angle of , the fractional loss in its kinetic energy is:
1/3
1/2
2/3
3/4