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Chapter 31: Q. 55 (page 903)

You've recently read about a chemical laser that generates a 20-cm-diameter,25MW laser 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-cm-diameter, 100kg, perfectly absorbing block. What speed would such a block have if pushed horizontally 100m along a frictionless track by such a laser?

Short Answer

Expert verified

Frictionless track Speed of the laser is 0.408m/s.

Step by step solution

01

Formula for radiation force and acceleration

Given info:

Distance is 20.0cm.

Power is 25MW.

Mass is100kg.

The block is acted upon by the radiation pressure.

FR=pRA

This causes a speed increase.

a=FRm

=pRAm

02

Calculation for speed

Speed is,

vf2=vi2+2补螖虫

vi=0

vf=2补螖虫

vf=2pR础螖虫m

vf=2笔螖虫mc

vf=225脳106W(100)m100kg3脳108ms

vf=0.408m/s

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