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Find the position of the particle which starts from rest at the time, given the force acting on the particle with a mass of is
(a)
(b)
(c)
(d)

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Important Questions on Laws of Motion
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Two masses are placed in contact with each other on a frictionless table
(i) A force is applied as in fig. Let denotes the force on due to .
(ii) A force of the same magnitude is applied as in fig (b). Let denotes the force on due to .
The ratio is


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A shell of mass, is fired by a gun of mass If the muzzle speed of the shell is , what is the recoil speed of the gun?

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Consider an elevator that is moving up at a constant speed The elevator can carry a maximum load of (elevator passenger). If the frictional force which opposes the motion is what would be minimum power delivered by motor to the elevator in a watt?

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A thin motorcyclist rides with sufficient speed in the vertical plane inside a hollow sphere of diameter to prevent himself from sliding down. If the coefficient of friction is then what is the minimum speed of the motor cyclist? (use )
