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PRACTICE / Inclined planes

Sliding down a rough slope

A block already slides down an incline with sin θ = 0.60 and cos θ = 0.80. Its kinetic-friction coefficient is 0.25.

Find its acceleration down the slope.

Organize the givens & assumptions
  • sin θ = 0.60
  • cos θ = 0.80
  • μk = 0.25

g = 10 m/s²; fixed incline; block already slides down; constant kinetic friction opposes that motion.

  1. A6 m s−26\ \mathrm{m\,s^{-2}}
  2. B8 m s−28\ \mathrm{m\,s^{-2}}
  3. C3.5 m s−23.5\ \mathrm{m\,s^{-2}}
  4. D4 m s−24\ \mathrm{m\,s^{-2}}

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