The inclined plane shown below is being used to lift a box 6.0 feet.

The inclined plane has a mechanical advantage of 1.5. What is the length, x, of the inclined plane?

mechanical advantage = (length of ramp)/(height of ramp)

a. 2.5 feet
b. 7.5 feet
c. 0.25 feet
d. 9.0 feet

1 answer

To find the length, x, of the inclined plane, we can rearrange the formula for mechanical advantage:

mechanical advantage = (length of ramp)/(height of ramp)

Given that the mechanical advantage is 1.5 and the height of the ramp is 6.0 feet, we can substitute these values into the equation:

1.5 = x/6.0

To solve for x, we can cross-multiply:

1.5 * 6.0 = x

9.0 = x

Therefore, the length of the inclined plane is 9.0 feet.

The correct answer is d. 9.0 feet.