To directly lift a crate .6 meters, Joaquin would need to apply a force of 300 Newtons of force. Instead, he uses a lever with a mechanical advantage of 3 to lift the crate. How much force does he save by using the lever?(1 point)

Responses

900 N
900 N

297 N
297 N

200 N
200 N

208 N

1 answer

The mechanical advantage of a lever allows you to lift a load with less force than if you were lifting it directly. In this case, Joaquin has a mechanical advantage of 3.

To find the force needed to lift the crate using the lever, you divide the force required to lift the crate directly by the mechanical advantage:

\[ \text{Force with lever} = \frac{\text{Force required directly}}{\text{Mechanical Advantage}} = \frac{300 \text{ N}}{3} = 100 \text{ N} \]

Now, to find out how much force Joaquin saves by using the lever, you subtract the force he uses with the lever from the force he would need to exert directly:

\[ \text{Force saved} = \text{Force required directly} - \text{Force with lever} = 300 \text{ N} - 100 \text{ N} = 200 \text{ N} \]

Thus, he saves 200 N by using the lever. Therefore, the correct response is:

200 N