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A body of mass 5 m initially at rest explodes into 3 fragments with mass ratio 3:1:1. Two of fragments each of mass m are found to move with a speed of 60 m s-1 is mutually perpendicular directions. The velocity of third fragment is

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Important Questions on Laws of Motion

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Two particles move towards each other from rest under a mutual force of attraction. At the instant, when the speed of A is v, the speed of B is v2. The speed of the centre of mass of the system is:
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As an inclined plane is made slowly horizontal by reducing the value of angle θ with horizontal, the component of weight parallel to the plane of a block resting on the inclined plane-
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A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid?

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The motion of the centre of mass of a system of two particles is unaffected by their internal forces:
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A bomb of mass 12 kg at rest explodes into two fragments of masses in the ratio 1:3. The kinetic energy of the smaller fragment is 216 J. The momentum of the heavier fragment is (in kg m s-1)
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A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms-1. The kinetic energy of the other mass is
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Two putty balls of equal mass moving with equal velocity in mutually perpendicular directions, stick together after the collision. If the balls were initially moving with a velocity of 452 m s-1 each, the velocity of their combined mass after the collision is
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A shell explodes in a region of negligible gravitational field, giving out n fragments of equal mass m. Then, its total