Physics Calculations and Concepts

Front

A train of mass 2.0 × 10⁵ kg accelerates uniformly from rest to 30 m/s in 60 s. Calculate (a) the acceleration and (b) the resultant force.

Back

a = 0.5 m/s², Force = 1.0 × 10⁵ N

Front

A motorbike travels 150 m in 10 s from rest with uniform acceleration. Calculate (a) its acceleration, (b) its final velocity.

Back

a = 3 m/s², Final velocity = 30 m/s

Front

A 0.45 kg football moving at 20 m/s is caught by a goalkeeper who brings it to rest in 0.25 s. Calculate the average force exerted.

Back

Average force = 36 N

Front

A stone is dropped from rest from a 45 m tall building. Ignoring air resistance, find the time taken to reach the ground.

Back

Time taken = 3.0 s

Front

A ball is thrown upwards with velocity 15 m/s. Calculate maximum height reached.

Back

Maximum height = 11.5 m

Front

A trolley of mass 12 kg moving at 4.0 m/s collides with a stationary 8 kg trolley and they stick together. Calculate their velocity after collision.

Back

Final velocity after collision = 2.4 m/s

Front

A 1000 kg car is stopped by brakes producing a deceleration of 5 m/s². Calculate the stopping distance if initial velocity is 25 m/s.

Back

Stopping distance = 62.5 m

Front

A crane lifts a load of 800 kg vertically through 12 m in 20 s. Calculate the useful power developed.

Back

Useful power = 4.7 kW

Front

A spring extends 0.025 m under 5 N. Calculate its spring constant and the energy stored when extended by 0.05 m.

Back

Spring constant = 200 N/m, Energy stored = 0.25 J

Front

A car of mass 1200 kg moving at 25 m/s is brought to rest in 5.0 s by uniform braking. Find (a) deceleration, (b) braking force.

Back

Deceleration = 5 m/s², Braking force = 6000 N