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Find the position of the particle which starts from rest at the time, t=10 s given the force acting on the particle with a mass of 50 g is 5i+10j N

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Important Questions on Laws of Motion

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Two masses M1 & M2 are placed in contact with each other on a frictionless table
(i) A force F is applied as in figa. Let F1 denotes the force on M1 due to M2.
(ii) A force of the same magnitude F is applied as in fig (b). Let F1' denotes the force on M1 due to M2.
The ratio F1/F1' is
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A shell of mass, 20 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 6 km min-1, what is the recoil speed of the gun?
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Consider an elevator that is moving up at a constant speed 5 m s-1 The elevator can carry a maximum load of 2000 kg (elevator + passenger). If the frictional force which opposes the motion is 5000 N, what would be minimum power delivered by motor to the elevator in a watt? g=10 m s-2
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A thin motorcyclist rides with sufficient speed in the vertical plane inside a hollow sphere of diameter 20 m to prevent himself from sliding down. If the coefficient of friction is 0.5, then what is the minimum speed of the motor cyclist? (use g=10 m s-2)