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Year 12 Specialist (Unit 3 & 4) Modelling motion

Resolution of forces and inclined planes

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Question 1
163500

A particle of mass \(1 \text{ kg}\) is acted on by two forces of magnitude \(2 \text{ N}\) and \(4 \ \text{N}\), which act on the particle at an angle of \(60^{\circ}\) to each other.
i) Find the magnitude of the resulting acceleration.
ii) State the direction relative to the \(4 \ \text{N}\) force.

i) \(2 \sqrt{7} \ \text{ N}\)
ii) \(19.1^{\circ}\)

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