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Zolol [24]
3 years ago
14

The closest star to our solar system is Alpha Centauri, which is 4.12 × 10^16 m away. How long would it take light from Alpha Ce

ntauri to reach our solar system if the speed of light is 3.00 × 10^8 m/s? (Provide an answer in both seconds and in years.)
(According to the textbook the answer is 4.35 years, i'm just not sure how to get there as I keep getting a different answer)
Physics
1 answer:
bonufazy [111]3 years ago
4 0

Time = (distance) / (speed)

Time = (4.12x10^16 m) / (3 x10^8 m/s)

Time = 1.37 x 10^8 seconds

Divide the seconds by 86,400 to get days. Then divide the days by 365 to get years.

Time = about 4.35 years

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The formula for the scalar product is given by :

A{\cdot} B=|A||B|\cos\theta

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\cos\theta=\dfrac{116}{13\times 16}\\\\\theta=\cos^{-1}\left(0.5576\right)\\\\\theta=56.11^{\circ}

The formula for the vector product is given by :

A\times B=|A||B|\sin\theta\\\\=13\times 16\times \sin56.11\\\\=172.66\ m^2

So, the vector product between these two vectors is 172.66\ m^2.

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