A-level · Forces & Newton's laws

Forces on an inclined planeExam-style questions

Resolving the weight on a slope into components along (mg sinα) and perpendicular (mg cosα) to the surface, the normal reaction R = mg cosα, and applying F = ma along the slope (acceleration g sinα on a smooth slope).

Start practising Read the lesson

13 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A particle of mass $2$ kg is pulled up a smooth slope of $25^\circ$ by a force of $15$ N acting up the slope. Find its acceleration, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
2
A particle slides down a smooth slope with acceleration $4.9\ \text{m s}^{-2}$ . Find the angle of the slope. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
3
A particle is released from rest on a smooth slope at $40^\circ$ . Find the distance it travels in the first $2$ seconds, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
4
A particle of mass $4$ kg is held at rest on a smooth slope of $30^\circ$ by a force acting up the slope. Find the magnitude of this force. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
5
A particle is projected up a smooth slope of $30^\circ$ with speed $5\ \text{m s}^{-1}$ . Find the distance it travels up the slope before coming to rest, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it

2 more questions on forces on an inclined plane

Free with an account — just an email, no card. The whole bank, every mark scheme and worked solution.

Start free