Suppose you lift a 18kg box by a height of 1.0m. How much work do you do in lift

Question

Suppose you lift a 18kg box by a height of 1.0m. How much work do you do in lifting the box?
Instead of lifting the box straight up, suppose you push it up a 1.0 m-high ramp that makes a 30 degree angle with the horizontal, as shown in the figure. Being clever, you choose a ramp with no friction. How much force is required to push the box straight up the slope at a constant speed?
= 88N

How long is the ramp?

Use your force and distance results to calculate the work you do in pushing the box up the ramp.

Explanation / Answer

The mass of the box m = 18kg

the height rised h = 1.0m

the amount of work done W = -mgh

                                          = - (18kg)(9.8m/s^2)(1.0)

                                          = - 176.4 J

the amount of force F = 88N

the angle of the ramp = 30

then the length of the ramp l = 1/sin30 = 2m

therefore the work done W = F*s = 88*2 = 176 J

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.