JEE Main || Mechanics || Super Quiz 8 for JEE & BITSAT Exams

Question 1

A particle is moving in a circular path of radius a under the action of an attractive potential

Its total energy is :

Question 2

A round uniform body of radius R, mass M and moment of inertia I, rolls down (without slipping) an inclined plane making an angle θ with the horizontal. Then its acceleration is

Question 3

The resultant of forces and is . If is doubled then is doubled. If the direction of is reversed, then is again doubled. Then P² : Q² : R² is

Question 4

A body of mass m is accelerated uniformly from rest to speed v in total time T. The Instantaneous power delivered to the body as a function of time(t) is given by

Question 5

A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is

Question 6

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that

Question 7

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy (in J upto two decimal place) loss during the collision is

Question 8

When a rubber-band is stretched by a distance x. it exerts a restoring force of magnitude F = ax + bx² where a and b are constants. The work done in stretching the unstretched rubber band by L is ________.

Question 9

A car moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is

Question 10

Consider the following two statements.
(1) The linear momentum of a system of particles is zero.
(2) The kinetic energy of a system of particles is zero.