To directly lift a crate 0.6 meters, Joaquin would need to apply 312 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?
Joaquin saves 936 newtons of force by using the lever.
To determine how much force Joaquin saves by using the lever, we first need to understand the concept of mechanical advantage.
Mechanical advantage is a measure of how much a simple machine (such as a lever) can amplify force. It is calculated by dividing the force output of the machine by the force input applied to it. In this case, the mechanical advantage is given as 3, which means the lever amplifies the force by a factor of 3.
To calculate the force Joaquin exerts while using the lever, we can divide the force required to directly lift the crate (312 newtons) by the mechanical advantage of the lever (3):
Force with lever = Force required / Mechanical advantage
Force with lever = 312 newtons / 3
Force with lever = 104 newtons
Therefore, by using the lever with a mechanical advantage of 3, Joaquin only needs to apply 104 newtons of force to lift the crate. To find out the force he saves, we subtract the force with the lever from the force required to directly lift the crate:
Force saved = Force required - Force with lever
Force saved = 312 newtons - 104 newtons
Force saved = 208 newtons
So, Joaquin saves 208 newtons of force by using the lever.
To calculate the force saved by using the lever, we need to compare the force required to directly lift the crate with the force required when using the lever.
The force required to directly lift the crate is given as 312 Newtons.
Using a lever with a mechanical advantage of 3, the force required is reduced by a factor of the mechanical advantage. Therefore, the force required when using the lever can be calculated as:
Force required with lever = Force required to directly lift / Mechanical advantage
Force required with lever = 312 N / 3
Force required with lever = 104 N
Therefore, Joaquin saves 312 N - 104 N = 208 Newtons of force by using the lever.