Mechanics Mock Tests

A body projected vertically upwards with velocity equal to half the escape velocity will rise to a maximum height h above the surface. If R is the radius of Earth, then h is:

A block of mass m slides down an inclined plane of angle θ from rest. The coefficient of friction is μ = tan(θ)/2. At the bottom, it collides elastically with a spring of spring constant k. If the length of the incline is L, the maximum compression of the spring is:

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 particle moves along a straight line such that its displacement x (in metres) at time t (in seconds) is given by x = t² − 4t + 3. The time at which the velocity is zero is:

A block slides down a frictionless inclined plane of inclination 30°. The acceleration of the block is: (g = 10 m/s²)

A satellite orbits the Earth at a height equal to the Earth's radius R from the surface. Its orbital velocity is: (g = acceleration due to gravity on Earth's surface)

A body of mass 2 kg moving with a velocity of 10 m/s collides with a stationary body of mass 3 kg. After collision, both move together. The common velocity is:

A projectile is launched at 45 degrees with speed u. The range is: