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As Jane approaches a stop sign, she applies a braking force of 10,000 N. Her car has a mass of 2,000kg and is moving with a velocity of +20 m/s. What is the impulse imparted to bring the car to astop?B.Using the impulse you found above, how long will it take for Jane's car to stop?

As Jane approaches a stop sign, she applies a braking force of 10,000 N. Her car has-example-1
User Zskalnik
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1 Answer

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Given that the force applied by Jane is F =10000 N. The mass of car is m = 2000 kg and the initial velocity is u = +20 m/s and the final velocity is v = 0 m/s as the brakes are applied.

We have to find the impulse and the time taken.

Impulse can be calculated by the formula,


I\text{mpulse = m(v-u)}

Substituting the values, the magnitude of impulse will be


\begin{gathered} \operatorname{Im}\text{pulse = 2000}*20 \\ =40000\text{ kg m/s} \end{gathered}

The time can be calculated by the formula


\operatorname{Im}\text{pulse = Force}* time

Substituting the values, time will be


\begin{gathered} \text{time =}\frac{\text{Impulse}}{force} \\ =(40000)/(10000) \\ =4\text{ s} \end{gathered}

User AthanasiusOfAlex
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