Problem 34.56 Part A You\'ve recently read about a chemical laser that generates

Question

Problem 34.56 Part A You've recently read about a chemical laser that generates a 20 beam. One day, after physics class, you start to wonder if you could use the radiation pressure from this laser beam to launch small payloads into orbit. To see if this might be feasible, you do a quick calculation of the acceleration of a 20.0-cm diameter, 92.0 kg, perfectly absorbing block. What speed would such a block have if pushed horizontally 92.0 m along a frictionless track by such a laser? 0-cm-diameter, 22.0 MW laser Express your answer with the appropriate units. alueUnits Submit My Answers Give Up

Explanation / Answer

Here,

intensity , I = power/area

I = 22 *10^6/(pi * 0.10^2)

Now, let the acceleration is a

Using second law of motion

m * a = Pressure * area

92 * a = I/c * area

92 * a = (22 *10^6/(pi * 0.10^2))/(3 *10^8) * pi * 0.10^2

solving for a

a = 7.97 *10^-4 m/s^2

d = 92 m

v^2 - u^2 = 2 * a * d

v^2 = 2 * 92 * 7.97 *10^-4

v = 0.383 m/s

the speed is 0.383 m/s

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