Question

a bowling ball is pushed up a frictionless ramp.
if the mechanical advantage (ma) of the ramp is 3, what is the relationship between the height and length of the ramp?
oa the ramp length is equal to three times the ramp height (length = 3 x height).
ob the ramp height is equal to three times the ramp length (height = 3 x length).
oc neither the length of the ramp nor the height of the ramp can be determined unless the input force and weight of the bowling ball are
known.
od neither the length of the ramp nor the height of the ramp can be determined unless the angle of inclination of the ramp is known.

Explanation:

Step1: Recall the formula for mechanical advantage (MA) of a ramp

The formula for the mechanical advantage of a ramp is \(MA=\frac{\text{Length of ramp}}{\text{Height of ramp}}\).

Step2: Substitute the given value of MA

Given \(MA = 3\), so \(3=\frac{\text{Length of ramp}}{\text{Height of ramp}}\).

Step3: Rearrange the formula

Cross - multiplying gives \(\text{Length of ramp}=3\times\text{Height of ramp}\).

Answer:

A. The ramp length is equal to three times the ramp height (length \( = 3\times\) height).