List of top Physics Questions on Mechanics asked in VITEEE

Two spheres A and B of masses \( m \) and \( 2m \) and radii \( R \) and \( 2R \) respectively are placed in contact as shown. The COM of the system lies

The distance of the centres of moon and earth is \( D \). The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero?

If the differential equation for a simple harmonic motion is \( \frac{d^2 y}{dt^2} + 2y = 0 \), the time-period of the motion is:

A solid cylinder of mass \( m \) and radius \( R \) rolls down an inclined plane without slipping. The speed of its C.M. when it reaches the bottom is:

A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass 5 kg. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is:

A planet revolves in an elliptical orbit around the sun. The semi-major and semi-minor axes are \( a \) and \( b \). Then the square of the time period, \( T \), is directly proportional to:

A particle covers half of the circle of radius \( r \). Then the displacement and distance of the particle are respectively:

A particle having a mass 0.5 kg is projected under gravity with a speed of 98 m/s at an angle of \( 60^\circ \). The magnitude of the change in momentum (in N-sec) of the particle after 10 seconds is:

A man holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally in 5 sec. Each bullet has a mass 10 g with a muzzle velocity of 800 m/s. The velocity which the rifle man attains after firing 10 shots will be:

Escape velocity when a body of mass \( m \) is thrown vertically from the surface of the earth is \( v \). What will be the escape velocity of another body of mass 4m thrown vertically?

A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant \( k = 50 \, \text{N/m} \). The maximum compression of the spring would be:

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping the mass the same, which one of the following will not be affected?

The velocity-time graph of a body moving in a straight line is shown in the figure. Find the displacement and distance travelled by the body in 10 seconds.

A person swims in a river aiming to reach exactly on the opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water is:

A running man has half the kinetic energy of that of a boy of half his mass. The man speeds up by 1m/s so as to have same K.E. as that of the boy. The original speed of the man will be:

The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact:

A machine gun has a mass 5 kg. It fires 50 gram bullets at the rate of 30 bullets per minute at a speed of 400 m/s. What force is required to keep the gun in position?

The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon

The value of \( \tan(90^\circ - \theta) \) in the graph gives

A smooth sphere of mass \( M \) moving with velocity \( u \) directly collides elastically with another sphere of mass \( m \) at rest. After collision, their final velocities are \( V \) and \( v \) respectively. The value of \( v \) is

Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of linear momentum of B to A is

A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 m/s. 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 (Take \(g = 10 \, \text{m/s}^2\))

In the adjoining figure, two pulses in a stretched string are shown. If initially their centres are 8 cm apart and they are moving towards each other, with speed of 2 cm/s, then total energy of the pulses after 2 s will be

When two waves of almost equal frequency \( n_1 \) and \( n_2 \) are produced simultaneously, then the time interval between successive maxima is

Two waves \( y_1 = A_1 \sin (\omega t - \beta_1 x) \) and \( y_2 = A_2 \sin (\omega t - \beta_2 x) \) superimpose to form a resultant wave whose amplitude is