Question

Question
A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?(1 point)
Responses

58.4 J
58.4 J

56.1 J
56.1 J

58.1 J
58.1 J

55.8 J

Answer 1

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, assuming the force is applied in the same direction as the displacement (which means \(\theta = 0\) degrees, and \(\cos(0) = 1\)), the formula simplifies to:

\[ \text{Work} = \text{Force} \times \text{Distance} \]

Given:
- Force = 57.1 Newtons
- Distance = 0.977 meters

Now, plug in the values:

\[ \text{Work} = 57.1 \, \text{N} \times 0.977 \, \text{m} \]

Calculating this gives:

\[ \text{Work} = 55.8 \, \text{J} \]

So, the correct answer is:

**55.8 J**