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What Is the rate at which energy is transferred by heat through the glass? How m

ID: 1518649 • Letter: W

Question

What Is the rate at which energy is transferred by heat through the glass? How much energy is lost through the window In one day, assuming the temperatures inside and outside remain' constant? An automobile having a mass of 1000 kg Is driven into a bock wall in a safety test. The bumper behaves like a spring with constant 4.25 times 10^6 N/m and is compressed 2.57 cm as the car Is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall?

Explanation / Answer

k = 4.25 x 10^6 N/m
m = 1000 kg
x = 2.57 cm = 0.0257 m

We have,

(1/2) kx^2 = (1/2) mv^2

v = x*(k/m)

    = 0.0257*(4.25E6/1000)

    = 1.675 m/s = 1.68 m/s

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