Question

Can someone please help me ASAP

If light travels at 3.00 x10^8 m/s, how long will it take light from the sun to reach a planet that is 6.45 light years away? How far will the light have traveled in meters? (Light year- distance travelled by light in one year. Use a value of exactly 365 days for a year.)

Answer 1

distance = 6.1022 x10^16[m]

Step-by-step explanation:

To solve this problem we must use the formula of the average speed which relates distance to time, so we have

v = distance / time

where:

v = velocity = 3 x 10^8 [m/s]

distance = x [meters]

time = 6.45 [light years]

Now we have to convert from light-years to seconds in order to get the distance in meters.

`t = 6.45 [light-years]*365[(days)/(1light-year)]*24[(hr)/(1day)] *60[(min)/(1hr)]*60[(seg)/(1min) ] =203407200 [s]`

Now using the formula:

distance = v * time

distance = (3*10^8)*203407200

distance = 6.1022 x10^16[m]