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
2.7
c
6
d
5.5
Mechanical Advantage = length of the ramp/height of the ramp
a
0.4
b
2.7
c
6
d
5.5
Answers
GPT-4o mini
To calculate the mechanical advantage (MA) of the ramp, you can use the formula:
\[
\text{Mechanical Advantage} = \frac{\text{length of the ramp}}{\text{height of the ramp}}
\]
In this case, the length of the ramp is 4.0 meters and the height of the ramp is 1.5 meters. Plugging in these values:
\[
\text{Mechanical Advantage} = \frac{4.0 \, \text{m}}{1.5 \, \text{m}} = \frac{4.0}{1.5} \approx 2.67
\]
Rounding to one decimal place, the mechanical advantage is approximately 2.7.
Therefore, the correct answer is:
**b) 2.7**
\[
\text{Mechanical Advantage} = \frac{\text{length of the ramp}}{\text{height of the ramp}}
\]
In this case, the length of the ramp is 4.0 meters and the height of the ramp is 1.5 meters. Plugging in these values:
\[
\text{Mechanical Advantage} = \frac{4.0 \, \text{m}}{1.5 \, \text{m}} = \frac{4.0}{1.5} \approx 2.67
\]
Rounding to one decimal place, the mechanical advantage is approximately 2.7.
Therefore, the correct answer is:
**b) 2.7**