Question

A mechanic needs to load a toolbox with a mass of 340 kg onto a truck. Using a ramp with an efficient of 62%, the toolbox is moved a distance of 1.4 m through a distance of 4.6 m. What is the force ratio and force required to move the toolbox up the ramp?

Answer 1

Answer:

17184.6 N

Step-by-step explanation:

The force ratio, also known as the mechanical advantage, is the ratio of the distance moved by the toolbox to the distance it is moved up the ramp. So, the force ratio is 1.4 m / 4.6 m, which is approximately 0.304.

Now, to find the force required, we need to use the formula: Force = (mass * gravity) / (efficiency * force ratio). The efficiency is given as 62%, or 0.62 as a decimal, and the acceleration due to gravity is approximately 9.8 m/s².

So, the force required would be (340 kg * 9.8 m/s²) / (0.62 * 0.304), which is approximately 17184.6 N.

So, the mechanic would need to apply a force of approximately 17184.6 N to move the toolbox up the ramp. Hope this helps!