Find MASS of a runner when work, power, and velocity are given?

AI Thread Summary
To find the mass of the runner, the relationship between power, work, and energy per step must be utilized. The runner dissipates 0.35J of energy per kg per step, and with a power output of 75W and a running speed of 5m/s, the work done per step can be calculated. Using the equation P = W/t, where t can be determined based on the speed and step length, allows for the calculation of total work done. By substituting the energy per kg into the power equation, the mass can be isolated and solved. This approach provides a clear method for determining the runner's mass based on the given parameters.
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Homework Statement


While running in a cross country meet, a member of the team dissipates about 0.35J of mechanical energy per step per kg of her body mass. If she develops a power of 75W during the race and runs at a speed of 5m/s, find her mass.
PS: Consider one [of her] running steps to be 1m.


Homework Equations


I am unsure what equation to use to find mass. I know the equations to find power and work, but in relation to finding mass I am unsure.


The Attempt at a Solution


I cannot attempt a solution with no clue what equation to use to get me started.
I am able to do the work if I have proper equations.
Thanks!
 
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Looks like the 75 Watts goes into making those steps.
P = W/t so you need to figure out the work done stepping over some convenient time. Maybe you could do it for one step?
 
I am not sure what equation is used to find the mass though?
 
It says the energy used is 0.35 J per kg. So the energy used is 0.35*m.
If you put that in the equation, you'll be able to solve for m.
 
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