Question

In the year 1178, five monks at Canterbury Cathedral in England observed what appeared to be an asteroid colliding with the moon, causing a red glow in and around it. It is hypothesized that this event created the crater Giordano Bruno, which is right on the edge of the area we can usually see from Earth. How long after the asteroid hit the Moon, which is 3.84 x 105 km away, would the light first arrive on Earth in seconds?

Answer 1

The light from the asteroid collision on the Moon would take approximately 1.28 seconds to reach Earth.

Step-by-step explanation:

The speed of light in a vacuum is approximately 3 x 10^8 meters per second. Since the Moon is 3.84 x 10^5 km away from Earth, we can calculate the time it takes for light to travel from the Moon to Earth using the formula:

Time = Distance / Speed

Converting the distance from km to meters, we get 3.84 x 10^8 meters. Plugging in the values:

Time = (3.84 x 10^8 meters) / (3 x 10^8 meters per second) = 1.28 seconds

So, it would take approximately 1.28 seconds for the light from the asteroid collision on the Moon to reach Earth.

Answer 2

To solve this problem it is necessary to apply the kinematic equations of description of the movement in which it is understood that the velocity is the travel of a particle in a fraction of time, that is to say

`v = (x)/(t)`

Where,

x = Displacement

t = time

In our case the speed is equivalent to that of the Light, and the distance is necessary to reach the moon by the asteroid.

`v = 3.8*10^8m/s`

`x = 3.84*10^5km = 3.84*10^8m`

Re-arrange to find t,

`t = (x)/(V)`

`t = (3.84*10^8)/(3.8*10^8)`

`t = 1.28s`

Therefore will take 1.28 s for the light arrive on Earth.