what force must be applied to the end of a 2.0 meter long crowbar in order to lift a 500 Newton rock if the fulcrum of the bar is 0.5 meters from the rock?
To determine the force required to lift the rock using the crowbar, we can use the principle of a lever and torque. The formula for torque is:
Torque = Force × Distance
In this case, the fulcrum is 0.5 meters from the rock, so the distance from the fulcrum to the point where force is applied is 2.0 meters - 0.5 meters = 1.5 meters. Let's assume the force required is F.
Using the formula for torque, we can write:
Torque (due to the force applied) = Force × Distance
500 Newton (rock weight) × 0.5 meters = F × 1.5 meters
Now we can solve for F:
F = (500 Newton × 0.5 meters) / 1.5 meters
F = 250 Newton
Therefore, a force of 250 Newton must be applied to the end of the 2.0-meter long crowbar in order to lift the 500 Newton rock, given that the fulcrum is 0.5 meters from the rock.