Mechanics Mock Tests

A spring of spring constant k is cut into two equal halves. The spring constant of each half is:

A car of mass 1000 kg moving with a velocity of 20 m/s is brought to rest by applying brakes. If the braking force is 5000 N, the distance covered by the car before coming to rest is:

A projectile is launched with an initial velocity of 20 m/s at an angle of 30° to the horizontal. What is the total time-of-flight? (Take g = 10 m/s²)

A particle moves in a straight line with acceleration a = (6t − 4) m/s². If the particle starts from rest at the origin, its position at t = 3 s is:

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:

Two masses m₁ = 2 kg and m₂ = 3 kg are connected by a light inextensible string passing over a frictionless pulley. The system is released from rest. The tension in the string is: (g = 10 m/s²)

A block of mass m is dropped from rest from a height h above the free end of a vertical spring of force constant k. The maximum compression of the spring is:

A car moves on a horizontal circular track of radius 50 m. If the coefficient of friction between the tyres and the road is 0.5, what is the maximum speed at which the car can move without skidding? (Take g = 10 m/s²)