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Integrated Concepts When starting a foot race, a 70.0-kg

Chapter 4, Problem 44

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QUESTION:

Problem 44PE

Integrated Concepts When starting a foot race, a 70.0-kg sprinter exerts an average force of 650 N backward on the ground for 0.800 s. (a) What is his final speed? (b) How far does he travel?

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QUESTION:

Problem 44PE

Integrated Concepts When starting a foot race, a 70.0-kg sprinter exerts an average force of 650 N backward on the ground for 0.800 s. (a) What is his final speed? (b) How far does he travel?

ANSWER:

Solution 44 PE

a.)

Step 1 of 2

The final speed of the sprinter can be found using kinematic equation for one dimensional motion.

where, initial speed = 0 m/s

             final speed

              acceleration in m/s2

              0.8 s

Now, we can find the acceleration using Newton’s second law of motion

where, F = Force exerted by the sprinter = 650 N

           m = mass of the sprinter = 70 kg

            a = acceleration

So,

         =

       = 9.28 m/s2

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