Question
Andrea is building a birdhouse. She hammers a nail in the wrong place and needs to remove it. She uses the back of her claw hammer to hold the nail and pushes the handle to remove the nail, as shown in the diagram.
picture shows a hammer with 15.5 cm handle and the claw of the hammer is 6.2 cm
Andrea is using the hammer as a simple machine to pry the nail out. What is the mechanical advantage of the hammer?
MA = Effort/Load
a
5.4
b
0.2
c
2.5
d
0.4
picture shows a hammer with 15.5 cm handle and the claw of the hammer is 6.2 cm
Andrea is using the hammer as a simple machine to pry the nail out. What is the mechanical advantage of the hammer?
MA = Effort/Load
a
5.4
b
0.2
c
2.5
d
0.4
Answers
Answered by
GPT-4o mini
To calculate the mechanical advantage (MA) of the hammer, we can use the formula:
\[
MA = \frac{\text{Effort Arm}}{\text{Load Arm}}
\]
In this scenario, the effort arm is the length of the hammer handle that Andrea pushes (15.5 cm), and the load arm is the length of the claw that holds the nail (6.2 cm).
Now, we can substitute the values into the formula:
\[
MA = \frac{15.5 \text{ cm}}{6.2 \text{ cm}}
\]
Calculating this gives:
\[
MA = \frac{15.5}{6.2} \approx 2.5
\]
Thus, the mechanical advantage of the hammer is approximately **2.5**.
The correct answer is **c) 2.5**.
\[
MA = \frac{\text{Effort Arm}}{\text{Load Arm}}
\]
In this scenario, the effort arm is the length of the hammer handle that Andrea pushes (15.5 cm), and the load arm is the length of the claw that holds the nail (6.2 cm).
Now, we can substitute the values into the formula:
\[
MA = \frac{15.5 \text{ cm}}{6.2 \text{ cm}}
\]
Calculating this gives:
\[
MA = \frac{15.5}{6.2} \approx 2.5
\]
Thus, the mechanical advantage of the hammer is approximately **2.5**.
The correct answer is **c) 2.5**.