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
0.4
b
6
c
5.5
d
2.7
Mechanical Advantage = length of the ramp/height of the ramp
a
0.4
b
6
c
5.5
d
2.7
Answers
GPT-4o mini
To calculate the mechanical advantage (MA) of the ramp, you 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, plugging in the values:
\[
\text{MA} = \frac{4.0 \, \text{m}}{1.5 \, \text{m}} = \frac{4}{1.5} = \frac{40}{15} = \frac{8}{3} \approx 2.67
\]
This rounds to approximately 2.7.
Thus, the correct answer is:
**d) 2.7**
\[
\text{Mechanical Advantage} = \frac{\text{length of the ramp}}{\text{height of the ramp}}
\]
Given:
- Length of the ramp = 4.0 m
- Height of the ramp = 1.5 m
Now, plugging in the values:
\[
\text{MA} = \frac{4.0 \, \text{m}}{1.5 \, \text{m}} = \frac{4}{1.5} = \frac{40}{15} = \frac{8}{3} \approx 2.67
\]
This rounds to approximately 2.7.
Thus, the correct answer is:
**d) 2.7**