An electron travels 3.75 m in 6.41 × 10−8 s.
How fast does it travel?
Answer in units of cm/s
howfast= distance/time
To find the speed of the electron, we need to calculate the ratio of the distance traveled to the time taken. Here's how you can do it:
1. Convert the distance traveled from meters to centimeters:
3.75 m * (100 cm/1 m) = 375 cm
2. Calculate the speed by dividing the distance traveled by the time taken:
Speed = Distance / Time
Speed = 375 cm / 6.41 × 10^(-8) s
3. Multiply the speed by the appropriate power of 10 to adjust for scientific notation:
Speed = 375 cm / (6.41 × 10^(-8) s) * (10^8 cm/1 m)
Simplifying the units:
Speed = (375 cm * 10^8 cm) / (6.41 s)
Speed = 375 * 10^8 cm / 6.41 s
4. Calculate the final answer:
Speed ≈ 5.8 × 10^10 cm/s
Therefore, the speed of the electron is approximately 5.8 × 10^10 cm/s.