		
5.		The speed of light is 3× 108 m/s. If it takes 5 × 10² seconds for light to travel from the sun to the earth? what is the distance between the sun and the earth?	[1]

To find the distance between the sun and the earth given the speed of light and the time it takes for light to travel that distance, we can use the formula for distance:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- The speed of light \( c = 3 \times 10^8 \) m/s
- The time \( t = 5 \times 10^2 \) seconds

We can now substitute these values into the formula:

\[ \text{Distance} = (3 \times 10^8 \text{ m/s}) \times (5 \times 10^2 \text{ s}) \]

When multiplying these values, we can multiply the coefficients and then add the exponents of 10:

\[ \text{Distance} = 3 \times 5 \times 10^{8+2} \]
\[ \text{Distance} = 15 \times 10^{10} \text{ meters} \]

Therefore, the distance between the sun and the earth is:

\[ 1.5 \times 10^{11} \text{ meters} \]

Would you like further details on any part of this solution? Do you have any other questions?

Here are 8 related questions for further practice:
1. If the speed of sound is \(343 \text{ m/s}\), how far does sound travel in \(2 \times 10^2 \text{ seconds}\)?
2. Calculate the time it takes for light to travel from the moon to the earth, given the distance is \(3.84 \times 10^8 \text{ meters}\).
3. The speed of a car is \(60 \text{ km/h}\). How far does it travel in \(3 \times 10^3 \text{ seconds}\)?
4. If a spaceship travels at \(2 \times 10^7 \text{ m/s}\), how long does it take to cover \(1 \times 10^{10} \text{ meters}\)?
5. The speed of light in a medium is \(2 \times 10^8 \text{ m/s}\). How long does it take to travel \(4 \times 10^7 \text{ meters}\)?
6. If a train travels at \(90 \text{ km/h}\), what is the distance covered in \(5 \times 10^2 \text{ minutes}\)?
7. Calculate the distance traveled by an airplane moving at \(8 \times 10^2 \text{ km/h}\) in \(1 \times 10^3 \text{ seconds}\).
8. How long does it take for light to travel \(6 \times 10^9 \text{ meters}\) in space?

**Tip:** When working with scientific notation, remember to handle the coefficients and the powers of 10 separately. This simplifies multiplication and division, making calculations easier and less error-prone.

Learn how to calculate the distance between the Sun and Earth using the speed of light (3 × 10^8 m/s) and the time it takes for light to travel (5 × 10^2 seconds). This problem involves applying the formula Distance = Speed × Time and understanding scientific notation. Suitable for high school students.

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