Question

The speed of a spaceship is going warp 7.58. What is the velocity of the spaceship in cm/min. Assume 1.00 warp = 2.5 times the speed of light
Speed of light= 2.9979x10^8 m/s

Answer 1

Answer : The velocity of the spaceship is, $3408.6\times 10^{10}cm/min$

Solution :

As we are given that,

$1.00\text{ wrap }=2.5\times \text{The speed of light}$

The speed of a spaceship = 7.58 wraps

So, $7.58\text{ wrap }=7.58\times 2.5\times \text{The speed of light}$

The speed of light = $2.9979\times 10^8m/s$

Now put the value of speed of light in above expression, we get

So, $7.58\text{ wrap }=(7.58)\times (2.5)\times (2.9979\times 10^8m/s)=56.81\times 10^8m/s$

The velocity of the spaceship = $56.81\times 10^8m/s$

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 = $(56.81\times 10^8)\times 100\times 60cm/min=3408.6\times 10^{10}cm/min$

Therefore, the velocity of the spaceship is, $3408.6\times 10^{10}cm/min$