Question

8. A force of 80 pounds on a rope is used to pull a box up a ramp inclined at 100 from the horizontal. The rope forms an angle of 330 with the horizontal. How much work is done pulling the box 25 feet along the ramp?

Answer 1

The work done in pulling the box along the ramp is approximately 1671.75 foot-pounds.

Step-by-step explanation:

To calculate the work done in pulling the box along the ramp, we need to find the component of the force parallel to the ramp and multiply it by the distance moved. The component of the force parallel to the ramp can be found using the trigonometric relation between the angle formed by the rope and the horizontal. In this case, the angle is 33° with the horizontal, so the component of the force parallel to the ramp is 80 pounds * cos(33°). Since the distance moved is 25 feet, the work done is the force component multiplied by the distance, giving us:

Work Done = (80 pounds * cos(33°)) * 25 feet

Using a calculator, we can find the value of cos(33°) to be approximately 0.8387. Plugging in this value, we can calculate the work done:

Work Done = (80 pounds * 0.8387) * 25 feet

Work Done ≈ 1671.75 foot-pounds

Answer 2

Here Ramp 10° , rope 33° , with reference on ramp , 33-10 =23° Force on ramp =80 cos 23 =73.64 pounds W= 73.64*25 =1841 p-f