Question

How to calculate the time it takes our spaceship to reach Sirius star if the distance from the Earth to the Sirius star is 8.7 light-years also if our spaceship can travel with 70% the speed of light .

Give the answer with proper steps.
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Answer 1

Given that,

Distance = 8.7 light year

$1\ ly=9.416\times10^{15}\ m$

Speed = 70% the speed of light

We need to calculate the distance

Using formula of light year

$1\ ly=9.416\times10^{15}\ m$

So, The distance is

$d=8.7\times9.416\times10^{15}$

$d=8.19\times10^{16}\ m$

The speed of spaceship is

$v=3\times10^{8}\times\dfrac{70}{100}\ m/s$

$v=210000000\ m/s$

We need to calculate the time

Using formula of speed

$v=\dfrac{d}{t}$

$t=\dfrac{d}{v}$

Put the value into the formula

$t=\dfrac{8.19\times10^{16}}{210000000}$

$t=390000000\ sec$

$t=108333.33\ hours$

Hence, The time is 108333.33 hours.