Mechanics Mock Tests

A solid sphere and a solid cylinder of equal mass M and equal radius R are released from rest at the top of an inclined plane of height h. Both roll without slipping. The ratio of their speeds at the bottom is v_sphere : v_cylinder:

The work required to stretch a spring from x₁ = 5 cm to x₂ = 10 cm is W. If the spring constant is k, then W equals:

A car accelerates from rest at 2 m/s² for 5 s. The distance covered is:

A car of mass m starts from rest and moves on a straight road with constant power P. The distance covered by the car in time t is proportional to:

A uniform rod of mass M and length L is pivoted at one end and oscillates as a physical pendulum. A point mass m is now attached at the center of the rod. The new period of small oscillations is:

The velocity-time graph of a particle moving in a straight line is a semicircle of radius R above the time axis. The total displacement of the particle during this time interval is:

A body weighs 100 N at Earth's surface. If Earth's radius were doubled while keeping mass constant, the weight at the new surface would be:

A projectile is launched with initial velocity u at an angle θ to the horizontal. The time of flight is: