To calculate the work done on an object, you can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this case, we are assuming the force is applied in the direction of the motion (which means \(\theta = 0\) degrees, and \(\cos(0) = 1\)). Therefore, the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Given:
- Force = 57.1 N
- Distance = 0.977 m
Now, substituting in the values:
\[ \text{Work} = 57.1 , \text{N} \times 0.977 , \text{m} = 55.8507 , \text{J} \]
Rounding to three significant figures, the work done is approximately:
\[ \text{Work} \approx 55.9 , \text{J} \]
Since 55.9 J is not one of your options, the closest response is:
55.8 J.
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