To figure out which set of forces results in a net force of 10 N to the right, we should look for combinations where the difference between the opposing forces equals 10 N with a net force that is directed to the right.
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↑ 63 N and ↓ 73 N: These forces are vertical and do not affect a horizontal net force. This combination does not result in a net force to the right.
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↑ 97 N and ↓ 87 N: Similar to the first option, these forces are vertical and do not create a net horizontal force. This combination does not lead to a horizontal net force.
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← 63 N and → 73 N: Here, we have opposing horizontal forces. The net force can be calculated as follows: \[ \text{Net Force} = \text{Force to the Right} - \text{Force to the Left} = 73 , \text{N} - 63 , \text{N} = 10 , \text{N} \quad \text{(to the right)} \]
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← 97 N and → 87 N: Again, calculating the net force here gives: \[ \text{Net Force} = 87 , \text{N} - 97 , \text{N} = -10 , \text{N} \quad \text{(to the left)} \]
The correct answer is ← 63 N and → 73 N, as these forces yield a net force of 10 N to the right.
1 answer