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Most of the energy you expend in cycling is dissipated by the drag force. If you double your speed, you increase the drag force by a factor of 4. This increases the power to cycle at this greater speed by what factor?
A. 2 B. 4 C. 8 D. 16

Sagot :

The power is increased by factor of 8 beacuse of the energy consumed in increasing the drag force.

Power is the rate of energy release. CCCs have high energy, but the TNT explosion has high power. It is defined as the energy used per second. It is the rate of energy release,

power = energy/time

The most common unit for power is the watt, named after James Watt who truly developed the science of the steam engine. It was the most powerful motor of its time, and the “high tech” of the 1700s. The watt is defined as one joule per second:

1 Watt = 1 W = 1 watt = 1 joule per second

1 kW = 1 kilowatt = 1000 joules per second

The value of TNT is that even though it has less energy per gram than chocolate chip cookies, it has greater power (since it can convert its limited energy to heat in a few millionths of a b). Of course, it can’t deliver this power for very long because it runs out of energy.

Power (P) = F v

Given,

where n is new

Vn = 2v

And Fn = 4F

So Pn = Fn*Vn

               = 4F *2v =

               = 8 (Fv) = 8 P

So, this increases the power by factor of 8.

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