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A car moving on a horizontal road may be thrown out of the road in taking a turn

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Important Questions on Laws of Motion

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If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force -Kr2, total energy is
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The pair with same dimension is ___.
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Two billiard balls of equal mass 30 g strike a rigid wall with same speed of 108 km h-1 (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball a and ball b by the wall along X direction is:

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Two particles of masses m1 and m2 in projectile motion have velocities v1 and v2, respectively, at time t=0. They collide at time t0. Their velocities become v'1and v'2 at time 2t0 while still moving in air. The value of |m1v'1+m2v'2-(m1v1+m2v2)|
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A pulley of radius 2 m is rotated about its axis by a force =20t-5t2 newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2, the number of rotation made by the pulley before its direction of motion is reversed is
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A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 10 m s-1. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. (Assume g=10 m s-2)
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A small object placed on a rotating horizontal turn table just slips when it is placed at a distance of 4 cm from the axis of rotation, if the angular velocity of the turn-table is doubled, the object slips when its distance from the axis of rotation is
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A car moves at a speed of 36 kmh-1 on a level road. The coefficient of friction between the car tyres and the road is 0.8. The car negotiates a curve of radius R. If g=10 ms-2, the car will skid (or slip) while negotiating the curve, if the value of R is