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If an 80-kg sprinter can accelerate from a standing start to a speed of 10 m/s in 3 s,
what average power is generated?
(a) 133 W
(b) 267 W
(c) 1330 W
(d) 2667 W

2007-04-03 18:25:35 · 5 answers · asked by prasiethelord 1 in Science & Mathematics Physics

5 answers

find acceleration
Vf = at + Vi
10 = 3a + 0
a= 3.33m/s^2

find the force
F = ma
F = 80 * 3.33
F = 266N

find the distance
y = 1/2at^2
y = 1/2(3.33)(3)^2
y = 15

power = work /time

power = 266N * 15m / 3s

power = 1330watts

2007-04-03 18:37:12 · answer #1 · answered by      7 · 0 0

First of all, no subject including Physics is horrible!!! You need to take some interest and of course your teacher needs to be good too.

Let us approach this problem from basics:

Initial speed = 0, final speed after 3 seconds = 10 m/s. Let us assume uniform acceleration. So we use the formula
v = u + a.t and compute a, the acceleration.

10 = 0 + a.3 or a = 10/3 m/sec^2

The runner would have covered a distance of s in this time of 3 secs. The formula for s is v^2 - u^2 = 2 a.s and so s = v^2 / 2a= 10 X 10 X 3 / 2 X 10 = 15 metres.

Now the work done by the man is Force X distance = m.a.s and the average power is work done per second. So, we have

Average power = m.a.s / t
= 80 X 10 X 15 / (3 X 3) = 4000/3 = 1333 watts and is close to answer c given in the question.

See, physics is easy!

2007-04-03 19:00:57 · answer #2 · answered by Swamy 7 · 1 0

Power = force x velocity
= 80*(10/3)*10 = 2666.667 watt
~ 2667 watt

answre is (d).

2007-04-03 22:29:37 · answer #3 · answered by Dilip Dey 2 · 0 0

c

2007-04-03 22:52:25 · answer #4 · answered by hadi s 1 · 0 0

I think it should be the option (c)

2007-04-03 18:29:40 · answer #5 · answered by Anonymous · 0 0

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