864.36 J of work are needed to accomplish a task. Approximately how much horsepower is required to achieve this task?

Question

Question 9 options:

A)

864.36 hp

B)

1.16 hp

C)

0.59 hp

D)

441 hp

Answer 1

To find the horsepower required to accomplish the task, we can use the following conversion between work (in joules) and horsepower (hp).

1 horsepower is defined as 746 watts (W), and 1 watt is equal to 1 joule/second (J/s). Therefore, to calculate horsepower from joules, we need to determine how long the work is being done for. However, if we assume the work is done in one second for the sake of conversion, we can simply calculate as follows:

\[ \text{Horsepower} = \frac{\text{Work (in Joules)}}{\text{Time (in seconds)} \times 746 \text{ W/hp}} \]

If we assume the work is done in 1 second:

\[ \text{Horsepower} = \frac{864.36 \text{ J}}{1 \text{ s} \times 746 \text{ W/hp}} \approx \frac{864.36}{746} \approx 1.16 \text{ hp} \]

Thus, the approximate horsepower required to accomplish the task is B) 1.16 hp.