Fine Stone
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From GROUPON in Los Angeles
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need help with physics acceleration of stone problem?
In the winter sport of curling, players give a 20 kg stone a push across a sheet of ice. A curler accelerates a stone to a speed of 2.9 m/s over a time 2.1 s. How much force does the curler exert on the stone? AND What average power does the curler use to bring the stone up to speed?
* do not have to answer both, one is fine.
To find force, you need to know acceleration. To find that, you can use the final velocity equation:
Vfinal = Vinitial + a*t
2.9 = 0 + 2.1a
a = 1.381
F = ma = 1.381*20 = 27.62 N
Average power is the value of the total work done divided by the time it took to do the work.
Work = Force*Distance, so we need distance. We can use the displacement equation.
x = Vinitial*t + (1/2) at^2
x = 0 + (1/2) (1.381)(2.1)^2
x = 3.045 m
Work = F*d = 27.62*3.045 = 84.1 J
Average Power = W / t = 84.1 / 2.1 = 40 watts
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