Light travels at 3×10⁸ metres per second. A star is 4.2×10¹⁷ metres away from Earth. Calculate the number of seconds it takes for light from this star to reach Earth. Give your answer in scientific notation

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Answer:

Light travels at 3x10^8 metres per second. A star is 4.2x10^17 metres away from Earth. Calculate the number of seconds it takes for light from this star to reach Earth. Give your answer in scientific notation.

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Answer:

To calculate the number of seconds it takes for light from the star to reach Earth, we can use the formula:

Time = Distance / Speed

Given:

Speed of light = 3 × 10^8 meters per second

Distance from the star to Earth = 4.2 × 10^17 meters

Plugging in the values:

Time = (4.2 × 10^17 meters) / (3 × 10^8 meters per second)

To divide these values, we can subtract the exponents:

Time = 4.2 × 10^(17-8) seconds

Simplifying the exponent:

Time = 4.2 × 10^9 seconds

Therefore, it takes approximately 4.2 × 10^9 seconds for light from this star to reach Earth.

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