Two forces are applied to a 5.0 kg crate; one is 6.0N to the north and the other is 8.0N to the west. The magnitude of the acceleration of the crate is:
Correct answer: C. 2.0m/s2
- A. 0.50m/s2
- B. 2.8m/s2
- C. 2.0m/s2
- D. 10m/s2
Explanation
Explanation is given below.We will use the formula F= ma to find the acceleration a but will have to calculate the resultant force F for it first.Draw a vector diagram of the forces in the direction mentioned and form a complete rectangle (as made in blue lines in the diagram). The red line shows the resultant velocity. Use Pythagoras theorem to find the resulstant force, from the right-angle triangle shown below. F = √(82 + 62) F = √(64 + 36)F= √100 = 10So resultant force is 10NF= maa = F/ma = 10/5a = 2ms-2
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