An electron travels 7.63 m in 7.33 × 10−8 s. How fast does it travel? Answer in units of cm/s
d = 7.63m * 100cm/m = 763cm.
V=763cm / 7.33*10^-8s=1.041*10^10cm/s.
To find the speed of the electron, we can use the formula:
Speed = Distance / Time
Given that the electron travels a distance of 7.63 m in a time of 7.33 × 10^-8 s, we can substitute these values into the formula to get:
Speed = 7.63 m / 7.33 × 10^-8 s
Now, to convert the units to cm/s, we need to convert both the distance and the time. Since 1 m = 100 cm, we can convert the distance as follows:
Speed = (7.63 m * 100 cm/m) / 7.33 × 10^-8 s
Simplifying that gives us:
Speed = 7.63 × 100 cm / 7.33 × 10^-8 s
For the time conversion, we multiply the given time by 10^8 to convert it to seconds:
Speed = 7.63 × 100 cm / (7.33 × 10^-8 s * 10^8)
Simplifying further:
Speed = 7.63 × 100 cm / (7.33 s)
Finally:
Speed = 1041.15 cm/s
Therefore, the electron travels at a speed of 1041.15 cm/s.