Question

A glow-worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely in the backward direction. To what speed will it have accelerated after 10 y if released into free space and assumed to live

Answer 1

Answer:

The speed the glow-worm would have accelerated after 10 years if released into free space and assumed to live is 3.09 X 10³⁴ m/s

Explanation:

Energy associated with photon of lights, is given as

E = hc/λ

Where;

h is Planck's constant =  6.626 x 10⁻³⁴ m2 kg/s

C is the speed of light = ?

λ is the light's wavelength = 650nm = 650 X10⁻⁹ m

Also Energy = Power X time

Time given = 10 years

Time in seconds = 10 yrs X 365 days X 24 hrs X 60mins X 60 secs

Time in seconds = 315360000 seconds

P*t = hc/λ

c = (P*t*λ)/h

c = (0.1 X 315360000 X 650 X 10⁻⁹)/(6.626 x 10⁻³⁴)

c = 3.09 X 10³⁴ m/s

The speed the glow-worm would have accelerated after 10 y if released into free space and assumed to live is 3.09 X 10³⁴ m/s