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Leto [7]
3 years ago
11

A construction crew must use a lever to lift a boulder. The mechanical advantage of the lever is 6 and the lever applies a force

of 1600 N to the rock. What is the force that the construction crew must apply to the lever?
Physics
1 answer:
fredd [130]3 years ago
7 0

Answer:

The force the construction crew must apply to the lever is 266.67 N

Explanation:

Mechanical advantage is the measure of the ratio of output force to input force in a system. Hence, mechanical advantage (MA) is given by the formula

MA = \frac{F_{o} }{F_{i} }

Where MA is the mechanical advantage

F_{o} is the output force

and F_{i} is the input force

From the question, the mechanical advantage of the lever is 6

That is, MA = 6

and the lever applies a force of 1600 N to the rock

That is, Output force, F_{o} = 1600 N

To determine the force the construction crew must apply to the lever, that is the input force, F_{i}

From

MA = \frac{F_{o} }{F_{i} }

We can write that

F_{i}  = \frac{F_{o} }{MA}

Then,

F_{i} = \frac{1600N}{6}

F_{i} = 266.67 N

Hence, the force the construction crew must apply to the lever is 266.67 N.

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