How much power was used by a cyclist when it took them 2.5 hours to finish their race. The cyclist exerted a force of 32N and the race was 75km long. Must convert km to m prior to calculations. Must show all work, have correct sig figs, and include correct units for full credit.

Respuesta :

Answer:

266.67 J/s

Explanation:

Work is said to be done when a force is applied to a certain object. It is given by the expression:

Workdone = Force × distance

However, the power (P) is the quantity or amount of work-done per time which is mathematically expressed as:

P = [tex]\frac{Workdone}{time}[/tex]

Given that:

time = 2.5 hours = (2.5 × 3600) seconds  = 9000 seconds

Force = 32 N

distance = 75 km = (75 × 1000) m = 75, 000 m

∴ Workdone = 32 × 75, 000

  Workdone  = 2,400,000 Joules

Power = [tex]\frac{2,400,000}{9000}[/tex]

Power = 266.67 J/s

Answer:

Explanation:

Given:

Force, f = 32 N

Distance, d = 75 km

1 km = 1,000 m

75 km × 1000 m/1 km

= 75,000 m

Time, t = 2.5 hours

60 secs = 1 min

60 mins = 1 hour

2.5 hours × 60 mins/ 1 hour × 60 sec/1 min

= 9,000 secs

Power = energy/time

Energy = force × distance

Power = (32 × 75,000)/9,000

= 266.67 W

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