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Calculate the mechanical advantage of a deodorant nozzle where the input force is 60 N and the output force is 15 N.

Physics

ScanSolve AI Answer

Answer

0.25\text{0.25}

Step-by-step solution

4 steps
  1. Identify the input and output forces.

    The input force is the force applied by your finger, and the output force is the force with which the deodorant sprays.
    Input Force (FinF_{in}) = 60 N60 \text{ N}
    Output Force (FoutF_{out}) = 15 N15 \text{ N}

  2. Use the formula for mechanical advantage.

    The mechanical advantage (MA) is calculated as the ratio of the output force to the input force.

    MA=FoutFinMA = \frac{F_{out}}{F_{in}}
  3. Substitute the values and calculate.

    MA=15 N60 NMA = \frac{15 \text{ N}}{60 \text{ N}} MA=0.25MA = 0.25
  4. Explain the answer.

    A mechanical advantage of 0.25 means that the device (the deodorant nozzle mechanism) produces an output force that is less than the input force. In this case, the output force is one-quarter of the input force. This type of machine is designed to increase the distance or speed of the output rather than the force.

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