Question

The star of a distant solar system explodes as a supernova. At the moment of the explosion, a resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explosion travels with 25000 km/s towards the spaceship. To save the crew, the space rah makes use of a special booster that uniformly accelerates at 150 m/s2 in the opposite direction.

Determine if the crew manages to escape from the shock wave. (Neglect relativistic eVects.)
Answer it fast plz

Answer 1

Answer:

First of all Calculate the time it takes for the spaceship to reach 25000 km/s:

we know,

t=v/a  

=166667 s.

 

Then, Calculate what distance the shockwave will cover during t:

d=v . t

=4.167·10^12m,

 

or 27.85 AU.

So, only 27.85-15=12.85 AU left for the spaceship to develop the speed of 25000 km/s. Is it possible? Find the distance required for the ship to accelerate from rest to 25 000 000 m/s with acceleration of 150 m/s2:

d=v^2/2a

=2.08·10^12m

or 13.9 AU.

Therefore, when the shockwave will travel 27.85 AU from the star at 25 000 km/s, the speed of the spaceship will be lower than 25 000 km/s. They cannot escape.

Explanation: