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In the arrangement shown, the mass m will ascend with an acceleration (Pulley and rope are massless)

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Important Questions on Laws of Motion

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A uniform rope of mass M and length L is fixed at its upper end vertically from a rigid support. Then the tension in the rope at the distance I from the rigid support is
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A man slides down a light rope whose breaking strength is η times the weight of man (η<1). The maximum acceleration of the man so that the rope just breaks is
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Figure shows a uniform rod of length 30 cm having a mass 3.0 kg. The rod is pulled by constant forces of 20 N and 32 N as shown. Find the force exerted by 20 cm part of the rod on the 10 cm part (all surfaces are smooth) is

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In a rocket, fuel burns at the rate of 1kg s-1. This fuel is ejected form the rocket with a velocity of 60km s-1. The force exerted on the rocket by this is________
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A machine gun fires a bullet of mass 65 g with a velocity of 1300 m s-1. The man holding it can exert a maximum force of 169 N on the gun. The number of bullets he can fire per second will be
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A balloon has 2 g of air. A small hole is pierced into it. The air comes out with a velocity of 4 m s-1. If the balloon shrinks completely in 2.5 s. The average force acting on the balloon is
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If n balls hit elastically and normally on a surface per unit time and all balls of mass m are moving with same velocity u, then force on surface is
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A particle of mass m strikes a wall with speed v at an angle 30° with the wall elastically as shown in the figure. The magnitude of impulse imparted to the ball by the wall is

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