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
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.