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A boy is in a lift which is moving downwards with an acceleration g/5. At an instant when the velocity of the lift is 10 m s-1, then boy throws a ball upwards with a velocity 10 m s-1. The time in s after which the ball will return into the hand of boy is

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Important Questions on Laws of Motion

HARD
A particle is moving along the x -axis with its coordinate with time t given by xt=10+8t-3t2. Another particle is moving along the y -axis with its coordinate as a function of time given by yt=5-8t3. At t=1 s, the speed of the second particle as measured in the frame of the first particle is given as v. Then vin m s-1 is ___________.
MEDIUM
When a lift of mass 800 kg is ascending with an acceleration of 5 m s-2, the tension in its cable will be ______ take (g=10 m s-2
EASY
A person is standing in an elevator. In which situation, he experiences weight loss ?
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A block A takes 2 s to slide down a frictionless incline of 30° and length l, kept inside a lift going up with uniform velocity v. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately:
HARD
A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The trajectory of the falling apple as seen by the girl is
HARD

Two wooden blocks are moving on a smooth horizontal surface such that the block having mass m remains stationary with respect to block of mass M as shown in the figure below. The magnitude of the applied force P is, 

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EASY
A block of mass M placed inside a box descends vertically with acceleration a. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of a will be
MEDIUM
Two blocks  A and  B of masses mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficients of friction between A and B is 0.2 and between  B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block  A does not slide over the block B is : [Take  g=10 m/s2 ]
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A plumb line is suspended from a ceiling of a car moving with horizontal acceleration a. What will be the angle of inclination with vertical?
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A man weighing 60 kg is in a lift moving down with an acceleration of 1.8 ms-2. The force exerted by the floor on him is?
MEDIUM
A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration g4, the machine shows the reading 50kg. wt. When the lift goes downward with acceleration g4, the reading of the machine in kg. wt. would be
MEDIUM
A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction μmin between the mass and the inclined surface such that the mass does not move is:
HARD
A smooth inclined plane of length L having inclination θ  with the horizontal is inside a lift which is moving down with a retardation a. The time taken by a body to slide down the inclined plane from rest will be
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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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A man weighing 80 kg, stands on a weighing scale in a lift that is moving upwards with a uniform acceleration of 5 m s-2. What would be the reading on the scale? g=10 m s-2.
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A physics professor in his car drops a coffee mug while moving at a constant velocity of 9.8 m s-1 along the highway. The professor notices that it only takes a half a second for the mug to drop straight down to the floor of his car. A student standing alongside the road sees the mug moving in a parabola with respect to her. What time does she measure for the mug to hit the floor of the car?
MEDIUM
A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes time T to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will be
EASY
A rocket with a lift-off mass 3.5×104 kg  is blasted upwards with an initial acceleration of 10 m s-2 . Then the initial thrust of the blast is
HARD
A circular disc with a groove along its diameter is placed horizontally on a rough surface. A block of mass 1 kg is placed as shown. The co-efficient of friction between the block and all surfaces of groove and horizontal surface in contact is μ= 2 5 . The disc has an acceleration of 25 ms2 towards left. Find the acceleration of the block with respect to disc. Given, cosθ=45, sinθ=35

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HARD
Two blocks of mass m1=10 kg and m2=5 kg, connected to each other by a massless inextensible string of length 0.3 m are placed along a diameter of a turn table. The coefficient of friction between the table and m1 is 0.5 while there is no friction between m2 and the table. The table is rotating with an angular velocity of 10 rads-1 about a vertical axis passing through its centre O. The masses are placed along the diameter of the table on either side of the centre O such that the mass m1 is at a distance of 0.124 m from O. The masses are observed to be at rest with respect to an observer on the turn table. Calculate the frictional force on m1.