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There are two forces on the 2.00 kg box in the overhead

Chapter , Problem 7

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QUESTION:

There are two forces on the 2.00 kg box in the overhead view of Fig. 5-31, but only one is shown. For \(F_{1}=20.0 \mathrm{N}, a=12.0 \mathrm{m} / \mathrm{s}^{2}\), and \(\theta=30.0^{\circ}\), find the second force

(a) in unit-vector notation and as

(b) a magnitude and

(c) an angle relative to the positive direction of the x axis.

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QUESTION:

There are two forces on the 2.00 kg box in the overhead view of Fig. 5-31, but only one is shown. For \(F_{1}=20.0 \mathrm{N}, a=12.0 \mathrm{m} / \mathrm{s}^{2}\), and \(\theta=30.0^{\circ}\), find the second force

(a) in unit-vector notation and as

(b) a magnitude and

(c) an angle relative to the positive direction of the x axis.

ANSWER:

Step 1 of 3 a) From Newton’s second law, So the second force is given by, .............(1) Given the first force is, In vector notation, .................(2) Mass of the box, The angle, Acceleration, The acceleration in vector notation is given by, .........(3) Put the values from equation two and three in equation one,

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