If the effort applied to a machine moves 5 m while the load moves 50 mm, what is the velocity ratio?

The velocity ratio (VR) of a machine is a measure of the relationship between the distance moved by the effort to the distance moved by the load. It can be calculated using the formula:

[ \text{Velocity Ratio (VR)} = \frac{\text{Distance moved by effort}}{\text{Distance moved by load}} ]

In this scenario, the effort moves 5 m (which is equivalent to 5000 mm) while the load moves 50 mm. Using the distances given:

[ \text{VR} = \frac{5000 \text{ mm}}{50 \text{ mm}} = 100 ]

This indicates that for every 100 mm that the load moves, the effort has to move only 1 mm, demonstrating the mechanical advantage offered by the machine. A higher velocity ratio means the machine reduces the amount of input effort needed to lift a load, which is a vital concept in mechanics and engineering.

Thus, the correct answer reflects a velocity ratio of 100, illustrating the significant mechanical benefit provided by the machine in question.