The elastic energy stored in your tendons can contribute up to 35% of your energ

Question

The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists have studied the change in length of the knee extensor tendon in sprinters and nonathletes. They find (on average) that the sprinters' tendons stretch 40mm , while nonathletes' stretch only 30mm .

The spring constant for the tendon is the same for both groups, 33N/mm . What is the difference in maximum stored energy between the sprinters and the nonathletes?

Express your answer using two significant figures in joules.

Explanation / Answer

the maximum energy stored is is U=1/2K*x*x where notations have usual menaing k is spring constant,x is elongation.

so difference in maximum energy stored wiil be U=1/2*33*1000*(40*40-30*30)/1000*1000=11.550 J

we are changing k because the unit of x k wiil be 33000 N/m and x will become 30/1000 m simply changing miillimeter to metre

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