Questions: The speed of light is 2.998 × 10^8 m / s. How far does light travel in 4.0 μs? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. distance =

The speed of light is 2.998 × 10^8 m / s. How far does light travel in 4.0 μs?
Set the math up. But don't do any of it. Just leave your answer as a math expression.
Also, be sure your answer includes all the correct unit symbols.
distance =

Transcript text: The speed of light is $2.998 \times 10^{8} \mathrm{~m} / \mathrm{s}$. How far does light travel in $4.0 \mu \mathrm{~s}$ ? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. distance $=$ $\square$

Solution

Solution Steps

Step 1: Identify the Given Values

The problem provides the speed of light as $2.998 \times 10^{8} \, \text{m/s}$ and the time duration as $4.0 \, \mu\text{s}$.

Step 2: Convert Microseconds to Seconds

Convert the time from microseconds to seconds. Since $1 \, \mu\text{s} = 10^{-6} \, \text{s}$, we have: \[ 4.0 \, \mu\text{s} = 4.0 \times 10^{-6} \, \text{s} \]

Step 3: Set Up the Distance Formula

The distance traveled by light can be calculated using the formula: \[ \text{distance} = \text{speed} \times \text{time} \]

Step 4: Substitute the Values into the Formula

Substitute the given values into the formula: \[ \text{distance} = (2.998 \times 10^{8} \, \text{m/s}) \times (4.0 \times 10^{-6} \, \text{s}) \]