Answer:
4 meters.
Step-by-step explanation:
We have been given that a mover uses a ramp to pull a 1000 n cart up-to the floor 0.8 meters high. It takes a force of 200 newtons to pull the cart. We are asked to find the length of the ramp.
We will use following formula to answer our given problem.
[tex]\text{Force}\times \text{Ramp length}= \text{Weight}\times\text{Height}[/tex]
[tex]200\text{N}\times \text{Ramp length}=1000\text{N}\times 0.8\text{m}[/tex]
[tex]200\text{N}\times \text{Ramp length}=800\text{Nm}[/tex]
[tex]\text{Ramp length}=\frac{800\text{Nm}}{200\text{N}}[/tex]
[tex]\text{Ramp length}=4\text{m}[/tex]
Therefore, the length of the ramp would be 4 meters.
