00:04
The force part a, that's not is moving due to the photon momentum transfer.
00:12
Okay.
00:13
So the radiation pressure exerted by the photon is equivalent to the intensity of the photon upon the speed of light.
00:22
And the intensity of the beam emitted is equivalent to the power of the torch upon the area of the beam.
00:31
And we know that the force exerted by the photon beam is equivalent.
00:36
The pressure into the area.
00:39
Therefore, we can say the force exerted on the strenot by the photon beam is equivalent to the power of the torch upon the speed of light.
00:50
And the acceleration is the force upon the mass.
00:54
Therefore, the acceleration is equivalent to the power upon m times the speed of light.
01:01
Now for in firmly accelerated motion starting from the rest, the distance covered is a equivalent to half of the acceleration into t squared therefore the time taken by the astronaut to cover the distance t is equivalent to 2d upon the acceleration a or we can write this as square root of two times uh two times mc over the power p now substitute the value so t equals square root of 2 times mcd over power p.
01:39
So t equals square root of 2 into the combined mass is 110 kilograms.
01:45
And the speed of light is 3 into 10 meters per second.
01:50
And the distance d is 10 meters.
01:53
The power of the torch is 100 watt.
01:57
Therefore, the time taken by the astronaut to cover the distance d is 8 .14 into 10 .4.
02:05
Seconds...