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3.4.12 Apply Newton's Laws to friction problems (A-level only)

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Question 4

A rough ramp is inclined to the horizontal at an angle α\alphaα, where tan⁡α=34\displaystyle \tan \alpha = \frac{3}{4}tanα=43​. A box of mass M M\,M kg is placed on the ramp and released from rest. The coefficient of friction between the box and the ramp is 12\displaystyle \frac{1}{2}21​.

a.

Find the acceleration of the box as it slides down the ramp.

[6]
b.

A different box with mass 3M 3M\,3M kg is placed on the same ramp. Explain how the acceleration of this box would compare to your answer in part (a).

[2]

3.4.12 Apply Newton's Laws to friction problems (A-level only) Questions

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