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A ball of mass 1 kg and another of mass 2 kg are dropped from a tall building whose height is 80 m. After, a fall of 40 m each towards Earth, their respective kinetic energies will be in the ratio of ______
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A body of mass 1 kg is thrown upwards with a velocity of 20 ms−1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?.
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An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water?.
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A body of mass 4 m is lying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speed v. The total kinetic energy generated due to explosion is ______
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The potential energy of a system increases, if work is done ______
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If the linear momentum of the object is increased by 0.1%, then the kinetic energy is increased by ______
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If the potential energy of the particle is `α - β/2x^2`, then the force experienced by the particle is ______
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A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant). If U(0) = 0, the graph of U(x) versus x will be (where U is the potential energy function)
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A particle that is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -kx + ax3. Here, k and a are positive constants. For x ≥ 0, the functional form of the potential energy U(x) of the particle is ______
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Write the various types of potential energy. Explain the formulae.
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Write the differences between conservative and Non-conservative forces. Give two examples each.
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Define the following:
Law of conservation of energy
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Define the following:
loss of kinetic energy in an inelastic collision.
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A bob of mass m is attached to one end of the rod of negligible mass and length r, the other end of which is pivoted freely at a fixed center O as shown in the figure. What initial speed must be given to the object to reach the top of the circle? (Hint: Use law of conservation of energy). Is this speed less or greater than the speed obtained in section 4.2.9?

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A particle is moving with a constant velocity along a line parallel to the positive X-axis. The magnitude of its angular momentum with respect to the origin is, ______
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A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
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Two discs of the same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of the disc with angular velocities ω1 and ω2. They are brought in to contact face to face coinciding with the axis of rotation. The expression for loss of energy during this process is, ______
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The ratio of the acceleration for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is, ______
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If the masses of the Earth and Sun suddenly double, the gravitational force between them will ___________.
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A planet moving along an elliptical orbit is closest to the Sun at distance r1 and farthest away at a distance of r2. If v1 and v2 are linear speeds at these points respectively. Then the ratio `"v"_1/"v"_2` is
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