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Light Speed Problems:

1. Jenny Hoyt looks at Pluto through a telescope. If Pluto is [tex]5.91 \times 10^{12}[/tex] meters from Earth, how long does it take the light from Pluto to reach Jenny?

2. If Cassie Dewell could travel at light speed to the nearest star, Proxima Centauri, it would take her 4.3 years to arrive. How far away is Proxima Centauri?

Answer :

Final answer:

For problem 1, it takes approximately 5.5 hours for light from Pluto to reach Earth. For problem 2, Proxima Centauri is approximately 4.08 light years away from Earth.

Explanation:

To solve these problems, you should be aware that the speed of light is roughly 3.00×10⁸ m/s.

Problem 1:

For Jenny Hoyt looking at Pluto, we can use the formula time = distance/speed. Here, the distance is 5.91×10¹² m and the speed is the speed of light, which is 3.00×10⁸ m/s. By substituting the values, we get time = (5.91x10^12 m) / (3.00x10^8 m/s) which gives approximately 19700 seconds. To convert this into more understandable units, you can divide by the number of seconds in a minute (60), then divide by the number of minutes in an hour (60), to get approximately 5.5 hours.

Problem 2:

For Cassie Dewell traveling to Proxima Centauri, we can again use the formula distance = speed * time. Here the speed is the speed of light, and the time is 4.3 years. To use the speed of light in m/s, we need to convert years to seconds. There's about 31.56 million seconds in a year, so 4.3 years is roughly 1.36x10^8 seconds. Multiplying the speed of light (3.00x10^8m/s) by this time gives us a distance of approximately 4.08x10^16 meters, or about 4.08 light years.

Learn more about Speed of Light here:

https://brainly.com/question/32416355

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