A motor developing 0.250 hp raises a 5.00 kg object 10.0 m vertically at a constant speed.How long does it take to accomplish this task? (1 hp = 746 W)

Question

Quizplus · Accepted Answer

First we need to convert horsepower to watts:
0.250 hp x 746 W/hp = 186.5 W

Next, we can calculate the work done on the object:
work = force x distance = mgh
where m = 5.00 kg, g = 9.81 m/s^2, and h = 10.0 m

work = 5.00 kg x 9.81 m/s^2 x 10.0 m = 490.5 J

Now we can solve for time using the power equation:
power = work/time
time = work/power

time = 490.5 J/186.5 W = 2.63 s

Therefore, the answer is choice C.

A Motor Developing 0