Efficiency, power, irradiance and speed problem

AI Thread Summary
The discussion revolves around calculating the power output of a solar collector with an efficiency of 30% under an irradiance of 1000 W/m². The solar panel produces 300W or 0.3kW, which is then compared to the power required for a car to determine speed changes. The user seeks to understand how to relate the increase in power from 200,000W to 200,300W to speed, using the equations W=Fd and P=F*v, assuming force remains constant. The conversation emphasizes the need for a method to derive an exact speed increase based on the given power changes. The focus is on applying thermofluid dynamics concepts to solve the problem effectively.
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Homework Statement


I've attached the question


Homework Equations


The problem is I don't know what equation(s) I have to use.


The Attempt at a Solution


This question my part of my thermofluid dynamics course but I cannot find a formula in my textbook that uses an irradiance (1000W/m^2) term.
 

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Think about this problem. You have a 1 m2 solar collector. It is 30% efficient. If 1000 W/m2 is falling on a 1 m2 that is 30% efficient how much power is the solar panel producing(in KW)? Compare with the power of the car.
 
so that means 300W or 0.3kW of power is being produced.
0.3/200=0.0015
how do i relate this to speed
 
If it takes 200,000W to go at speed X how much faster is it likely to go if the power available is increased to 200,300W ? Hint: it's a multiple choice question and its not going to go >50% faster :-).
 
yes its fair enough that it won't go 50% faster or 10% or even 4%, but how would I go about getting an exact answer?
 
How about W=Fd, P = F*v, assume F doesn't change (much)
 
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