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A box with a mass of 2 kg only has four forces acting on it: One force of 16 N due East. One force of 24 N due South. One force of 16 N due West. One force of 18 N due North. What is the magnitude of the box's acceleration, in m/s2

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Answer:

The acceleration of the object is 3 m/s2.

Explanation:

  • The force on the object is acting along the four directions which are perpendicular to each other.
  • Since the north and south directions are opposite to each other, the magnitude of the net force along north-south direction is (24-18)=6 N.
  • Since the east and west directions are opposite to each other, the magnitude of the net force along east-west direction is (16-16)=0 N.
  • Therefore the magnitude of the net force on the object is 6 N
  • By Newton's second law, the force F on the object is given by the formula F=ma.
  • Here m= 2kg, therefore 6 =(2)a which gives a = 3 m/s2.        

Learn more about Newton's law.

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