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Revision Quiz | Laws of Motion

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Question 1

A car is traveling along x-axis with constant speed 50 m/sec; a telescopic camera is rotated. Such that it can observer the car. When θ = 60 ° angular velocity of camera will be
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Question 2

The maximum tension in the string of an oscillating pendulum is thrice the minimum tension. What is its angular amplitude

Question 3

A coin placed on a rotating turntable just slips if it is placed at a distance of 4 cm from the centre. If the angular velocity of the turntable is doubled, it will just slip at a distance of -

Question 4

The masses of 10 kg and 20 kg respectively are connected by massless spring as shown in the figure. A force of 200 N acts on the 20kg mass. At the instant shown, the 10 kg mass has acceleration of 12 m/s². What is the acceleration of 20 kg mass?

Question 5

Fine particles of a substance are to be stored in a heap on a horizontally circular plate of radius a. If the co-efficient of static friction between the particles is k. The maximum possible height of cone is –

Question 6

A solid sphere rolls down an inclined plane without slipping on the surface. Then the force of friction acting on the sphere is
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Question 7

Two weights w₁ and w₂ are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be-

Question 8

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

Question 9

A space shuttle while travelling at a speed of 3000 km/h with respect to Earth ejects a satellite weighing one third of its weight. If the speed of satellite is 80 km/h with respect to shuttle, what will be the final velocity of the shuttle after the ejection?

Question 10

A uniform rod of mass m and length is hinged at one of its end O and is hanging vertically. It is hit at its midpoint with a very short duration impulse J so that it starts rotating about O. Find the magnitude of horizontal impulse that O applies on the rod when it is hit, so that the rod just completes a full circle.

Question 11

An object of mass 3kg at rest in space suddenly explodes into three parts of same mass. The momentum of the two parts are 4

and 2

. Then energy released in explosion is–

Question 12

A particle of mass m moving with velocity 1 m/s collides perfectly elastically with another particle of mass 2m. If the incident particle is deflected by 90 °. The heavy mass will make an angle θ with the initial direction of m equal to–

Question 13

Two blocks of mass 4 kg and 2 kg are placed side by side on a smooth horizontal surface as shown in the figure. A horizontal force of 20 N is applied on 4 kg block. What will be the acceleration of each block?

Question 14

A parachutist with total weight 75 kg drops vertically onto a sandy ground with a speed of 2 ms^-1 and comes to a halt over a distance of 0.25m. The average force from the ground on her is close to

Question 15

A car starts from rest to cover a distance s. The coefficient of friction between the road and the tyres is μ. The minimum time in which the car can cover the distance is proportional to –

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Mar 25JEE & BITSAT