FORCE, MASS AND ACCELERATION

State the equation linking force, mass, and acceleration. Include the correct scientific symbols.

A child pushes a toy lorry of mass 4.0 kg along a smooth surface. The lorry accelerates at 1.2 m/s².

Calculate the size of the unbalanced force acting on the lorry. Show your working.

Explain, using the equation F = m × a, what happens to the acceleration of an object if its mass is doubled while the force remains the same.

An electric scooter of mass 12 kg is acted on by a resultant force of 18 N.

Calculate the acceleration of the scooter. Give your answer to 2 decimal places.

A delivery robot of mass 10 kg receives an unbalanced force of 40 N forwards as it starts to move. Calculate the acceleration of the robot. Give your answer in m/s².

Which of the following increases the acceleration of an object when the unbalanced force stays the same?

Explain what will happen to the acceleration of a suitcase if a larger force is applied to it while its mass stays the same. Use the relationship F = m × a in your answer.

A student pulls a cart of mass 8.0 kg along a smooth surface. The cart accelerates at 2.5 m/s^2.

A skateboarder of mass 60 kg pushes off the ground and accelerates at 0.80 m/s^2. Calculate the resultant force acting on the skateboarder. Show your working.

A car and a bicycle are both acted on by the same unbalanced force. The car’s mass is much greater than the bicycle’s mass. Use the relationship F = m x a to explain, in terms of acceleration, what happens to each vehicle.