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Can you solve these problems dealing with simple machines?

Work, mechanical advantage, and efficiency all are terms that we use to describe a simple machine. See if you can answer the following questions with what you know about simple machines.

A machine with a mechanical advantage of 2.5 requires an input force of 120 Newtons. What output force is produced by this machine?

  1. 200 N
  2. 150 N
  3. 300 N
  4. 600 N

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and input force to find the output force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and input force to find the output force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and input force to find the output force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and input force to find the output force.

Maria does 1000.0 J of work to lift a 98.0 N air conditioner 5.8 meters. What is the efficiency of the pulley system Maria uses?

  1. 64%
  2. 57%
  3. 53%
  4. 52%

First, figure out the output work done. Then, compare that to the input work done using the efficiency equation: \(\mathsf{ eff. = \frac{W_{out}}{W_{in}} }\).

First, figure out the output work done. Then, compare that to the input work done using the efficiency equation: \(\mathsf{ eff. = \frac{W_{out}}{W_{in}} }\).

First, figure out the output work done. Then, compare that to the input work done using the efficiency equation: \(\mathsf{ eff. = \frac{W_{out}}{W_{in}} }\).

First, figure out the output work done. Then, compare that to the input work done using the efficiency equation: \(\mathsf{ eff. = \frac{W_{out}}{W_{in}} }\).

A machine is required to produce an output force of 600 newtons. If the machine has a mechanical advantage of 6, what input force must be applied to the machine?

  1. 100 N
  2. 200 N
  3. 1200 N
  4. 3600 N

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and output force to find the input force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and output force to find the input force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and output force to find the input force.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) and the known values of M.A. and output force to find the input force.

A gardener uses a shovel as a lever to lift a 200 N rock 0.20 meters. He does this by applying 50 N of force to the end of the shovel. Calculate the mechanical advantage of the lever.

  1. 4
  2. 3
  3. 40
  4. 30

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

A gardener uses a shovel as a lever to lift a 200 N rock 0.20 meters. He does this by applying 50 N of force to the end of the shovel. How far down does the gardener push the shovel? (Assume 100% efficiency.)

  1. 0.2 m
  2. 0.4 m
  3. 0.8 m
  4. 1.2 m

Compare the work done by the shovel to the work done by the gardener. They should be equal to one another.

Compare the work done by the shovel to the work done by the gardener. They should be equal to one another.

Compare the work done by the shovel to the work done by the gardener. They should be equal to one another.

Compare the work done by the shovel to the work done by the garderner. They should be equal to one another.

A machine uses an input force of 200 newtons to produce an output force of 800 newtons. What is the mechanical advantage of this machine?

  1. 2
  2. 4
  3. 16
  4. 0.25

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

A machine is designed to lift an object with a weight of 12 newtons. If the input force for the machine is set at 4 newtons, what is the mechanical advantage of the machine?

  1. 7
  2. 5
  3. 2
  4. 3

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Use the equation \(\mathsf{ M.A. = \frac{F_{out}}{F_{in}} }\) to solve for M.A.

Summary

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