The brakes in a car increase in temperature by ΔT when bringing the car to rest from a speed v. How much greater would ΔT be if
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Answer:
Explanation:
In order to solve this problem, we mus start by drawing a free body diagram of the given situation (See attached picture).
From the free body diagram we can now do a sum of forces in the x and y direction. Let's start with the y-direction:
so:
now we can go ahead and do a sum of forces in the x-direction:
the sum of forces in x is 0 because it's moving at a constant speed.
so now we solve for theta. We can start by factoring mg so we get:
we can divide both sides into mg so we get:
this tells us that the problem is independent of the mass of the object.
we now divide both sides of the equation into so we get:
so we now take the inverse function of tan to get:
so now we can find our angle:
so
