Final answer:
To calculate the distance from the pivot given the torque and force, use the formula distance = torque/force. With a torque of 10 N·m and force of 20 N, the distance from the pivot is 0.5 meters.
Step-by-step explanation:
The question is asking us to calculate the distance from the pivot point where a force is applied, given the moment of force (torque) and the magnitude of the force. Torque (τ) is the product of the force (F) applied and the perpendicular distance (r) from the pivot point (torque = force x distance), which in SI units is measured in newton-meters (N·m).
To find the distance from the pivot we can rearrange the equation to solve for distance (r) by dividing the torque by the force. Thus, the distance (r) is equal to the torque divided by the force: r = τ/F. Using the given values, where the torque (τ) is 10 N·m and the force (F) is 20 N, we find that the distance from the pivot is r = τ/F = 10 N·m / 20 N = 0.5 m.