Question

write the formula used to calculate mechanical advantage (ma)

1. load force means the force ______
2. effort force means the force ______
3. it takes 100 n to pull an object up an inclined plane. the gravitational force on the object is 600 n.

what is the load force in this case? ______n
what is the effort force in this case? ______n
calculate the mechanical advantage (ma)
answer ______

1. a person has a mass of 80 kg. it takes a force of 150 n to pull that person up using a system of pulleys.

a. calculate the gravitational force on the person. ______n
b. calculate the mechanical advantage (ma) of the pulley system. show all your work.
answer ______

1. the mechanical advantage of a lever is 6. how much force needs to be exerted on the lever to lift an object with a gravitational force of 320 n? show all your work.

answer ______
it takes 130 n to push a 52 kg object up an inclined plane. calculate the mechanical advantage of the inclined plane. show all your work.

Explanation:

Step1: State MA core formula

$\text{Mechanical Advantage (MA)} = \frac{\text{Load Force (Load)}}{\text{Effort Force (Effort)}}$
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Questions 10-12

Step1: Define Load Force

Load force = gravitational force on object

Step2: Define Effort Force

Effort force = force applied to move object

Step3: Identify given values (Q12)

Load = 600 N, Effort = 100 N

Step4: Calculate MA for Q12

$\text{MA} = \frac{600}{100} = 6$
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Question 13

Step1: Calculate gravitational force

Gravitational force $F_g = m \times g$, where $g=9.8\ \text{m/s}^2$
$F_g = 80 \times 9.8 = 784\ \text{N}$

Step2: Identify Load and Effort

Load = 784 N, Effort = 150 N

Step3: Calculate MA for pulley system

$\text{MA} = \frac{784}{150} \approx 5.23$
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Question 14

Step1: Rearrange MA formula for Effort

$\text{Effort} = \frac{\text{Load}}{\text{MA}}$

Step2: Substitute given values

Load = 320 N, MA = 6
$\text{Effort} = \frac{320}{6} \approx 53.33\ \text{N}$
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Final Inclined Plane Question

Step1: Calculate gravitational force (Load)

$F_g = 52 \times 9.8 = 509.6\ \text{N}$

Step2: Identify Effort force

Effort = 130 N

Step3: Calculate MA

$\text{MA} = \frac{509.6}{130} \approx 3.92$

Answer:

1. required to overcome the load (weight of the object)
2. applied to move the load
3. Load force: 600 N; Effort force: 100 N; MA: 6

13a. 784 N
13b. $\approx 5.23$

1. $\approx 53.33\ \text{N}$

Final Inclined Plane Question: $\approx 3.92$