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

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SUMMARY

The discussion focuses on calculating the mass of a runner given her power output of 75W, running speed of 5m/s, and energy dissipation of 0.35J per kg per step. To find the mass, the relationship between power, work, and energy dissipation is utilized. The equation P = W/t is applied, where work done per step can be expressed as W = energy per step multiplied by the number of steps taken in a given time. By substituting the energy dissipation into the equation, the mass can be determined effectively.

PREREQUISITES
  • Understanding of basic physics concepts, specifically work, power, and energy.
  • Familiarity with the equation P = W/t (Power equals Work divided by time).
  • Knowledge of how to manipulate equations to isolate variables.
  • Basic understanding of mechanical energy dissipation in physical activities.
NEXT STEPS
  • Study the relationship between power, work, and energy in physics.
  • Learn how to apply the equation P = W/t in various scenarios.
  • Explore the concept of mechanical energy dissipation in sports science.
  • Investigate how to calculate mass using energy dissipation rates in physical activities.
USEFUL FOR

Students in physics, sports scientists, and anyone interested in biomechanics or energy expenditure during physical activities will benefit from this discussion.

kalisious
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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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