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A runner with a mass of 60 kg accelerates from 0 to 9 m/s in 3 s. Find the net force on the...

Question:

A runner with a mass of 60 kg accelerates from 0 to 9 m/s in 3 s. Find the net force on the runner using the alternate form of Newton.

Force:

A force is a physical quantity that describes the effect produced on the body to accelerate. The Newton or kilogram meter per square second is a measurable unit to explains force.

Answer and Explanation: 1


We are given the following data:

  • The mass of runner is: {eq}{m_r}=60\;{\rm {kg}} {/eq}.
  • The initial speed of the runner is: {eq}{u_r}=0\;{\rm {m/s}} {/eq}.
  • The final speed of the runner is: {eq}{v_r}=9\;{\rm {m/s}} {/eq}.
  • The time to accelerate is: {eq}t=3\;{\rm {s}} {/eq}.


The expression for the acceleration of the runner is,

{eq}{a_r}=\dfrac {{v_r}-{u_r}}{t} {/eq}


The expression for the net force on the runner using the alternate form of Newton is,

{eq}{F_r}={m_r}{a_r} {/eq}


Substitute the values and solve the above expression,

{eq}\begin{align*} {F_r}&={m_r}\dfrac {{v_r}-{u_r}}{t}\\ &=60\times \dfrac {9-0}{3}\\ &=60\times \dfrac {9}{3}\\ &=180\;{\rm {N}} \end{align*} {/eq}


Thus the net force on the runner using the alternate form of Newton is {eq}180\;{\rm {N}} {/eq}.


Learn more about this topic:

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Force: Definition and Types

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Chapter 5 / Lesson 5
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Force is everywhere and it comes in a variety of sizes, directions, and types. In this video lesson, you'll identify force as well the different types of force that objects may experience.


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