A hockey puck with a mass of 0.5kg slides horizontally on the frictionless ice of a hockey rink. Two hockeysticks hit the puck simultaneously, exerting two forces F1 and F2. The force F1 has a magnitude of 5N and is directed 36.6 degrees below the positive x-axis. F2 has a magnitude of 10N and is directed 60 degrees above the positive x-axis. Determine the magnitude and direction of the puck’s acceleration.

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Chapter1: Units, Trigonometry. And Vectors
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A hockey puck with a mass of 0.5kg slides horizontally on the frictionless ice of a hockey rink. Two hockeysticks hit the puck simultaneously, exerting two forces F1 and F2. The force F1 has a magnitude of 5N and is directed 36.6 degrees below the positive x-axis. F2 has a magnitude of 10N and is directed 60 degrees above the positive x-axis. Determine the magnitude and direction of the puck’s acceleration.

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Given data

  • The mass of the hockey puck is m = 0.5 kg.
  • The magnitude of the force F1 = 5 N.
  • The magnitude of the force F2 = 10 N.
  • The direction of force F1 is given as θ1=36.6°.
  • The direction of force F2 is given as θ2=60°.

The free-body diagram of the pucks is drawn as,

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