A crowbar lever , with a 3 inch long nail remover connected to a 20inch handle. If you push down on the handle end with a force of 40 N, what force is available to remove a nail? HINT: a Crowbar isnt all that different from a seesaw, except the pivot is far off center.
To determine the force available to remove a nail using the crowbar lever, we can utilize the concept of mechanical advantage. Mechanical advantage is a measure of how much a simple machine amplifies applied force.
In this case, the crowbar lever acts like a seesaw, with the point where it pivots as the fulcrum. We can calculate the mechanical advantage using the formula:
Mechanical Advantage = Length of handle from fulcrum / Length of nail remover from fulcrum
Given that the length of the handle is 20 inches and the length of the nail remover is 3 inches, the mechanical advantage can be calculated as:
Mechanical Advantage = 20 inches / 3 inches = 6.67
Now, knowing the mechanical advantage, we can determine the force available to remove the nail by multiplying the applied force on the handle end with the mechanical advantage:
Force Available = Applied Force * Mechanical Advantage
Given that the applied force is 40 N, the force available to remove the nail can be calculated as:
Force Available = 40 N * 6.67 = 266.8 N
Therefore, a force of approximately 266.8 N is available to remove the nail using the crowbar lever.