Inclined plane

1. How much work W we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m.
2. Find the force we need to exert to do this if we neglect frictional resistance.
3. Find the force we would need if we did not use an inclined plane and the body wanted to lift the body directly.
4. Compare the two forces.

Correct answer:

W =  2943 J
F1 =  735.75 N
F2 =  1962 N

Step-by-step explanation:

m=200 kg l=4 m h=1.5 m g=9.81 m/s2  F0=m g=200 9.81=1962 N  W=F0 h=1962 1.5=2943 J
x=l2h2=421.523.7081 m  F1=F0 lh=1962 41.5=42943 N=735.75 N
F2=F0=1962=1962 N F2>F1



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Themes, topics:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: