Question

A clerk can lift containers a vertical distance of 1 meter or can roll them up a 3 meter-long ramp to the same elevation. With the ramp, the applied force required is:______

a. The same.
b. Half as much.
c. Twice as much.
d. Four times as much.
e. None of the above

Answer 1

(e) none of the above

Step-by-step explanation:

work done is the product of applied force and vertical distance.

work done = Fd

F₁d₁ = F₂d₂

`F_2 = (F_1*d_1)/(d_2)`

given;

vertical distance a clerk can lift containers , d₁ = 1 m

vertical distance rolled along a ramp, d₂ = 3 m

substitute these values in the above equation;

`F_2 = (F_1*1)/(3)= (1)/(3)*F_1`

Therefore, the applied force is one-third the original value.

The correct option is (e) none of the above.