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The block is placed on a frictionless surface in a gravity-free space. A heavy string of a mass m is connected and force F is applied on the string, then the tension at the middle of the rope is

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Important Questions on Laws of Motion

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Two masses of 10 kg and 5 kg are suspended from a rigid support as shown in the figure. The system is pulled down with a force of 150 N attached to the lower mass. The string attached to the support breaks and the system accelerates downwards.

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In case the force continues to act,  the tension acting between the two masses is

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P and Q horizontally push a 1200 kg crate in the same direction. P pushes with a force of 500 newton and Q pushes with a force of 300 newton. If a frictional force provides 200 newton of resistance, what is the acceleration of the crate?
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A balloon of mass M is descending at a constant acceleration. When a mass m is released from the balloon it starts rising with the same acceleration α. Assuming that its volume does not change, what is the value of m?
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A man stands on a weighing machine kept inside a lift. Initially, the lift is ascending with the acceleration a due to which the reading is W. Now the lift descends with the same acceleration and reading is 10% of initial. Find the acceleration of lift.
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Two masses m1 and m2 are attached to a string which passes over a frictionless smooth pulley. When m1=6 kg, m2=10 kg the acceleration of masses is___ (g=10 m s-2)

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A block of mass 5 kg is on a rough horizontal surface and is at rest. Now a force of 24 N is imparted to it with negligible impulse. If the coefficient of kinetic friction is 0.4 and g=9.8 m s-2, then the acceleration of the block is
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If a ship of mass 4×107 kg initially at rest is pulled by a force of 5×104N through a distance of 4 m, then the speed of the ship will be (resistance due to water is negligible)
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An object of mass 3 kg is at rest. Now a force, of F=6t2i^+4tj^ is applied on the object then velocity of object at t=3 s is