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A pulley system has a mechanical advantage of 3, and an object weighing 9 Newtons must be lifted 15 meters. How much force must be applied to lift the object?

Use the following equation to find the answer:

MA=Fo/Fi

Responses

1.7 N

0.3 N

3 N

27 N

2 answers

To find the force that must be applied (Fi) to lift the object, we can use the equation for mechanical advantage (MA):

\[ MA = \frac{Fo}{Fi} \]

Where:

  • MA = mechanical advantage
  • Fo = output force (the weight of the object to be lifted)
  • Fi = input force (the force we need to apply)

Given:

  • MA = 3
  • Fo = 9 N

Now, we can rearrange the equation to solve for Fi:

\[ Fi = \frac{Fo}{MA} \]

Substituting the given values:

\[ Fi = \frac{9 \text{ N}}{3} = 3 \text{ N} \]

Thus, the force that must be applied to lift the object is 3 N.

A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and the work done is 216 Joules. How much force is applied?
Responses:

8 N

72 N

81 N

9 N