Physics 9702 · AS & A Level · Momentum and Newton's laws of motion

Momentum and Newton's laws of motion — practice question

Two masses, $M$ and $m$, are joined by an inextensible string that runs over a frictionless pulley. Mass $M$ is placed on a frictionless slope, as illustrated. The slope makes an angle $\theta$ with the horizontal. At first, the two masses are held at rest, and they are then released. Mass $M$ travels down the slope. Which expression is necessarily true?

  • A$\sin \theta < \dfrac{m}{M}$
  • B$\cos \theta < \dfrac{m}{M}$
  • C$\sin \theta > \dfrac{m}{M}$
  • D$\cos \theta > \dfrac{m}{M}$

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