## Example:  – Force applied to a particle on a rough horizontal plane

A particle of mass 4 kg is at rest on a horizontal plane. A horizontal force of 5N is applied to the particle. There is a resistance of 3N due to the surface being rough.
Find the acceleration of the particle and the speed of the particle after 2 seconds.

Newton's Law of Motion, F=ma on a rough horizontal plane : example 1 : ExamSolutions - youtube Video

## Example: – Force at an angle requiring splitting a force into components

A force of 8N is applied at 30 degrees to the horizontal to a particle of mass 6kg resting on a rough horizontal surface as shown in the diagram. If the resistance due to friction is 2N. Find the acceleration of the particle and the normal contact force.

Newton's Law of Motion, F=ma on a rough horizontal plane : example 2 : ExamSolutions - youtube Video

## Example: – Particle being projected along a horizontal plane – Take care with the signs

A particle of mass 2 kg is projected along along a horizontal surface with a speed of 4 metres per second and comes to rest after travelling in a straight line for 8 metres. Calculate the resistance to motion and the deceleration of the particle which is assumed to remain constant.

Newton's Law of Motion, F=ma on a rough horizontal plane : example 3 : ExamSolutions - youtube Video