An electron travels 1.91 m in 4.72x10^-8s. How fast does it travel? Answer in cm/s
Divide the distance (in cm) by the time in seconds.
I took 1.91m x 100cm and got 191cm and then divided it by .000000047s and got 4,063,829,787 cm/s. Is that just about correct?
To find the speed of the electron, we can use the formula:
Speed = Distance / Time
Given:
Distance = 1.91 m
Time = 4.72 × 10^-8 s
First, we need to convert the distance from meters to centimeters.
1 meter = 100 centimeters
So, the distance in centimeters is:
Distance = 1.91 m × 100 cm/m
Distance = 191 cm
Now, we can substitute the values into the formula to find the speed.
Speed = 191 cm / (4.72 × 10^-8 s)
To simplify the calculation, we can convert the time to seconds by moving the decimal point 8 places to the right.
Speed = 191 cm / (4.72 × 10^-8 s) × (1 s / 10^8 ns)
Simplifying further,
Speed = 191 cm / 4.72 × (1/10^8)
Speed = (191 cm × 10^8) / 4.72
Speed ≈ 4.05 × 10^9 cm/s
Therefore, the speed of the electron is approximately 4.05 × 10^9 cm/s.
To find the speed of the electron, we will use the formula:
Speed = Distance / Time
Given:
Distance = 1.91 m
Time = 4.72 x 10^-8 s
First, we need to convert the distance from meters to centimeters. There are 100 centimeters in 1 meter, so:
1.91 m = 1.91 * 100 cm = 191 cm
Now, we can calculate the speed:
Speed = 191 cm / 4.72 x 10^-8 s
To divide by a number in scientific notation, we need to move the decimal point to the right for the divisor until it becomes a whole number. In this case, we move it 8 places to the right:
Speed = 191 cm / 0.000000472 s
Now, we can divide:
Speed = 404,661,016.95 cm/s
Therefore, the speed of the electron is approximately 404,661,016.95 cm/s.