Question

You are using a machine that has a mechanical advantage (MA) of 12.5. If you pull 25 m of rope to operate this machine, how much movement can you expect on the load?

A. 2 m

B. 5 m

C. 10 m

D. 12.5 m

Answer 1

The movement that can be expected on the load is 12.5 m.

Step-by-step explanation:

The mechanical advantage (MA) of a machine is defined as the ratio of the output force to the input force. In this case, the MA of the machine is given as 12.5. We can use the formula for MA:

MA = output force / input force

Given that the input force is the force exerted on the rope, and the machine has an MA of 12.5, we can rearrange the formula to calculate the output force:

Output force = MA * input force = 12.5 * 25 N = 312.5 N

The movement of the load can be found by dividing the output force by the force required to move the load:

Movement = output force / force per movement = 312.5 N / 25 N = 12.5 m

Therefore, the movement you can expect on the load is 12.5 m.