a bicycle and its rider together has a mass of 83 kg. what power output of the rider is required to maintain a constant speed of 5.0 m/s (about 11.2 mph) up a 5.0% grade (a road that rises 5.0 m for every 100 m along the pavement)? assume that frictional losses of energy are negligible.

Respuesta :

The output power of the rider that is required to maintain a constant speed is 4,067 J/s.

What is the output power of the rider?

While input power​ refers to the amount of energy put into a device, the ​ output​ power refers to the amount of energy that comes out.

Also, power is the rate at which energy is dissipated or consumed or given out.

The output power of the rider that is required to maintain a constant speed of 5.0 m/s (about 11.2 mph) up a 5.0% grade (a road that rises 5.0 m for every 100 m along the pavement) is calculated as follows;

P = Fv

P = mgv

where;

  • m is the mass of a bicycle and its rider together
  • g is acceleration due to gravity
  • v is velocity of the rider

P = 83 kg x 9.8 m/s² x 5 m/s

P = 4,067 J/s

Thus, the output power of the rider that is required to maintain a constant speed depends on the mass, acceleration due to gravity and velocity of the rider.

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