Answer : The velocity of the spaceship is, [tex]3408.6\times 10^{10}cm/min[/tex]
Solution :
As we are given that,
[tex]1.00\text{ wrap }=2.5\times \text{The speed of light}[/tex]
The speed of a spaceship = 7.58 wraps
So, [tex]7.58\text{ wrap }=7.58\times 2.5\times \text{The speed of light}[/tex]
The speed of light = [tex]2.9979\times 10^8m/s[/tex]
Now put the value of speed of light in above expression, we get
So, [tex]7.58\text{ wrap }=(7.58)\times (2.5)\times (2.9979\times 10^8m/s)=56.81\times 10^8m/s[/tex]
The velocity of the spaceship = [tex]56.81\times 10^8m/s[/tex]
Now we have to convert the velocity of the spaceship m/s to cm/min.
Conversion :
(1 m = 100 cm)
(1 min = 60 sec)
The velocity of the spaceship = [tex](56.81\times 10^8)\times 100\times 60cm/min=3408.6\times 10^{10}cm/min[/tex]
Therefore, the velocity of the spaceship is, [tex]3408.6\times 10^{10}cm/min[/tex]
