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
9.0 feet
d
0.25 feet
To find the length, x, of the inclined plane, we can use 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 formula:
1.5 = x/6.0
To solve for x, we can multiply both sides of the equation by 6.0:
1.5 * 6.0 = x
9.0 = x
Therefore, the length, x, of the inclined plane is 9.0 feet.
So the correct answer is c) 9.0 feet.