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Practice: Motion of a Body on a Smooth Inclined Plane

A body of mass 103 kg was placed on a smooth plane inclined at 30 to the horizontal. A horizontal force of 126 N directed toward the plane was acting on the body such that the line of action of the force and the line of greatest slope of the plane all lie in the same vertical plane. After moving for 7 seconds, the body reached a speed 𝑣, at which point the force stopped acting, and the body continued moving until it momentarily came to rest 𝑡 seconds after the force stopped acting. Find 𝑣 and 𝑡. Take 𝑔=9.8/ms.

  • A𝑣=4.9/ms, 𝑡=1s
  • B𝑣=9.8/ms, 𝑡=1s
  • C𝑣=16.62/ms, 𝑡=3.39s
  • D𝑣=9.8/ms, 𝑡=2s

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