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There are two horizontal forces on the 2.0 kg box in the
Chapter , Problem 24(choose chapter or problem)
There are two horizontal forces on the 2.0 kg box in the overhead view of Fig. 5-38 but only one (of magnitude F1 " 20 N) is shown. The box moves along the x axis. For each of the following values for the acceleration ax of the box, find the second force in unit-vector notation: (a) 10 m/s2 , (b) 20 m/s2 , (c) 0, (d) $10 m/s2 , and (e) $20 m/s2.
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QUESTION:
There are two horizontal forces on the 2.0 kg box in the overhead view of Fig. 5-38 but only one (of magnitude F1 " 20 N) is shown. The box moves along the x axis. For each of the following values for the acceleration ax of the box, find the second force in unit-vector notation: (a) 10 m/s2 , (b) 20 m/s2 , (c) 0, (d) $10 m/s2 , and (e) $20 m/s2.
ANSWER:Step 1 of 5 a) Given, the magnitude of the first force is. Considering the rightward as the positive X direction, the first force in vector notation is, Given mass of the box is, In this case acceleration is, Using Newton’s second law we can write, Implies, The second force is .