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).

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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 is released from rest on a smooth slope inclined at $30^\circ$ to the horizontal. Find its acceleration. ( $g = 9.8$ .)
Level 2 · 2 marksTry it
2
A box of mass $5$ kg rests on a smooth slope inclined at $20^\circ$ . Find the normal reaction, to 3 s.f. ( $g = 9.8$ .)
Level 2 · 2 marksTry it
3
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
4
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
5
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

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