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Unreasonable ResultsA car feels a small force due to the light it sends out from its headlights, equal to the momentum of the light divided by the time in which it is emitted. (a) Calculate the power of each headlight, if they exert a total force of $2.00 \times 10^{-2} \mathrm{N}$ backward on the car. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
a) $3.00 \times 10^{6} \mathrm{W}$b) The unreasonable fact about this result is far too much energy for a car headlight.c) The force assumed is much too large, although it would have only a small effect on the car.
Physics 103
Chapter 29
Introduction to Quantum Physics
Quantum Physics
University of Michigan - Ann Arbor
Hope College
University of Winnipeg
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for this problem. It talks about a car feeling a force due to the like that it sent out. That force is equal to the momentum of the light, divided by the time at which it's submitted. Now wants to know the power of each had like if we know the total force backward on the car Now we know from the header of this problem that it's going to be an unreasonable result. So we're gonna have to figure out why what have done already because I've shown that force is equal to the momentum divided by the time This is the impulse momentum theory. Um, and we know that momentum is energy to bite about the speed of light. We can take the relationship. We know that power is energy over time and replace that. And now we have a new equation here. It says force equals power divided by the speed of light. I'm gonna rearrange it and say that power equals FC. We can use that to find the power of each Hedley in this particular problem, it says that the total force is two times tended the negative to Newton's 20.2 We have to divide that by two because it's asking for power from one headlight, so we actually have one times 10 to the negative to Nunes times three times 10 to the eighth meters per second. Pardon for about the unit there. You always want to make sure the units are correct, and this gives us a power in Watts of three times 10 to the sixth. What that's all that we need to solve. However, it still says what is unreasonable about the result on what assumptions are unreasonable. This is way to much energy that simply what's unreasonable, There's no way toe have that much power in that little mountain. That's a lot of power in a lot of energy coming out of the car. And the reason this is unreasonable, that the assumption that we make is that that forces away too big for what is actually being experienced by the headlights and by the car
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