Questions in Laws of Motion

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In an elevator moving vertically up with an acceleration g, the force exerted on the floor by a passenger of mass M is
A mass 1 kg is suspended by a thread. It is (i) lifted up with an acceleration $4.9\,m/{s^2}$ (ii) lowered with an acceleration $4.9\,m/{s^2}$. The ratio of the tensions is
A 5000 kg rocket is set for vertical firing. The exhaust speed is $800\,m{s^{ - 1}}$. To give an initial upward acceleration of $20\,m{s^{ - 2}}$, the amount of gas ejected per second to supply the needed thrust will be $(g = 10\,m{s^{ - 2}})$
If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will
The time period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with an acceleration g/3, the time period is
A cork is submerged in water by a spring attached to the bottom of a pail. When the pail is kept in a elevator moving with an acceleration downwards, the spring length
Two trolleys of mass m and 3m are connected by a spring. They were compressed and released once, they move off in opposite direction and comes to rest after covering distances ${S_1}$and ${S_2}$ respectively. Assuming the coefficient of friction to be uniform, the ratio of distances ${S_1}:{S_2}$ is
A boy of 50 kg is in a lift moving down with an acceleration $9.8\,m{s^{ - 2}}$. The apparent weight of the body is $(g = 9.8\,m{s^{ - 2}})$
A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then
A mass of 10 gm is suspended by a string and the entire system is falling with a uniform acceleration of $400\,cm/{\sec ^2}.$The tension in the string will be $(g = 980\,cm/{\sec ^2})$

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