Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Suppose that we need to lift a 50 kg box a distance of 1 m vertically. One option would be to push it up an inclined plane. Suppose the inclined plane makes an angle of 30° with the horizontal, and the coefficient of friction between the box and the inclined plane is 0.2. (a) What is the minimum amount of force required to push the box up the incline? How does this force compare to the minimum force required to lift it straight up? (b) What is the distance you must push the box up the incline? (c) What is the minimum amount of work you must do to push the box up the incline? How does this compare to the amount of work required to lift it straight up?

Suppose that we need to lift a 50 kg box a distance of 1 m vertically. One option would be to push it up an inclined plane. Suppose the inclined plane makes an angle of 30° with the horizontal, and the coefficient of friction between the box and the inclined plane is 0.2. (a) What is the minimum amount of force required to push the box up the incline? How does this force compare to the minimum force required to lift it straight up? (b) What is the distance you must push the box up the incline? (c) What is the minimum amount of work you must do to push the box up the incline? How does this compare to the amount of work required to lift it straight up?

icon
Related questions
Question
5. Inclined planes are a type of simple machine. The purpose of a simple machine is to reduce the amount of force required to achieve a certain task. The tradeoff is that that force must be applied over a larger distance. Suppose that we need to lift a 50 kg box a distance of 1 m vertically. One option would be to push it up an inclined plane. Suppose the inclined plane makes an angle of 30° with the horizontal, and the coefficient of friction between the box and the inclined plane is 0.2. (a) What is the minimum amount of force required to push the box up the incline? How does this force compare to the minimum force required to lift it straight up? (b) What is the distance you must push the box up the incline? (c) What is the minimum amount of work you must do to push the box up the incline? How does this compare to the amount of work required to lift it straight up?
Transcribed Image Text:5. Inclined planes are a type of simple machine. The purpose of a simple machine is to reduce the amount of force required to achieve a certain task. The tradeoff is that that force must be applied over a larger distance. Suppose that we need to lift a 50 kg box a distance of 1 m vertically. One option would be to push it up an inclined plane. Suppose the inclined plane makes an angle of 30° with the horizontal, and the coefficient of friction between the box and the inclined plane is 0.2. (a) What is the minimum amount of force required to push the box up the incline? How does this force compare to the minimum force required to lift it straight up? (b) What is the distance you must push the box up the incline? (c) What is the minimum amount of work you must do to push the box up the incline? How does this compare to the amount of work required to lift it straight up?
Expert Solution
steps

Step by step

Solved in 5 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer