Question

A mover load a box into the back of a moving truck by pushing it up a ramp. The ramp is 4.0 m long and the back of the truck is 1.5 m high. What is the mechanical advantage of the ramp?

Mechanical Advantage = length of the ramp/height of the ramp

a
5.5
b
6
c
2.7
d
0.4

Answer 1

To calculate the mechanical advantage (MA) of the ramp, we can use the formula:

\[
\text{Mechanical Advantage} = \frac{\text{Length of the ramp}}{\text{Height of the ramp}}
\]

Given:
- Length of the ramp = 4.0 m
- Height of the ramp = 1.5 m

Now substituting the values into the formula:

\[
\text{Mechanical Advantage} = \frac{4.0 \, \text{m}}{1.5 \, \text{m}} = \frac{4.0}{1.5} \approx 2.67
\]

Therefore, rounding to one decimal place, the mechanical advantage is approximately 2.7.

The correct answer is:
**c) 2.7**.