Mechanics PYQ

A particle of mass 2 kg is projected vertically upward with a speed of 30 m/s. The maximum height reached by the particle is (g = 10 m/s²):

The range of a projectile launched with initial velocity u at angle θ with horizontal is given by:

A particle moves in a circle of radius R with constant angular velocity ω. If the centripetal acceleration is 4 m/s² when R = 2 m, what is the angular velocity?

A particle moves in a circle of radius R with constant speed v. Its centripetal acceleration is

The dimension of Planck constant is same as

A ball is projected at 45° with speed 20 m/s. Find the maximum height reached (in metres). Take g = 10 m/s².

What is the time of flight of the ball along the inclined plane?

What is the maximum height attained by the ball perpendicular to the inclined surface?

What is the range of the ball along the inclined plane?

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to:

A satellite is revolving around earth in a circular orbit. What will happen to its orbit if we suddenly stop it?

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the center of mass is:

The ratio of escape velocity on Earth to the escape velocity on a planet whose radius and mean density are twice that of Earth is:

A block of mass m slides down an inclined plane of inclination θ with uniform speed. The coefficient of friction between the block and the plane is:

A ball is thrown vertically upward with velocity 20 m/s from a tower of height 25 m. The speed with which it hits the ground is (g = 10 m/s²):

The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc is:

A body of mass 2 kg is moving with velocity 3 m/s. The force required to stop it in 2 seconds is: