Question

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

1. 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.

answer

Explanation:

Step1 (Problem 14): Recall mechanical advantage formula

Mechanical Advantage (MA) = $\frac{\text{Load Force}(F_L)}{\text{Effort Force}(F_E)}$

Step2 (Problem 14): Rearrange for effort force

$F_E = \frac{F_L}{\text{MA}}$

Step3 (Problem 14): Substitute given values

$F_E = \frac{320}{6} \approx 53.33$

Step4 (Problem 15): Calculate object's gravitational force

$F_L = m \times g$, where $g=9.8\ \text{m/s}^2$
$F_L = 52 \times 9.8 = 509.6\ \text{N}$

Step5 (Problem 15): Use MA formula for inclined plane

$\text{MA} = \frac{F_L}{F_E}$

Step6 (Problem 15): Substitute values to find MA

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

Answer:

Problem 14: $\approx 53.33\ \text{N}$
Problem 15: $\approx 3.92$