A lever has a mechanical advantage of 4. If you apply a force to the machine with a mass of 4 kg, at an acceleration of 2 m/s/s, what is the output force created by the lever?
To find the output force created by the lever, we first need to determine the input force applied to the lever.
We know that the mechanical advantage of the lever is 4. The mechanical advantage of a lever is calculated by dividing the output force by the input force.
Mechanical Advantage = Output Force / Input Force
Given that the mechanical advantage is 4, and we need to find the input force:
4 = Output Force / Input Force
Now, we can rearrange the equation to solve for the input force:
Input Force = Output Force / 4
To find the output force, we can use Newton's second law of motion, which states:
Force = Mass x Acceleration
The force (output force) acting on the mass (4 kg) can be calculated by multiplying the mass by the acceleration:
Force = 4 kg x 2 m/s^2
Force = 8 kg*m/s^2
Now, we can substitute the value of the output force into the input force equation:
Input Force = 8 kg*m/s^2 / 4
Input Force = 2 kg*m/s^2
Therefore, the output force created by the lever is 2 kg*m/s^2.