In a television tube, the electron travels from an electron gun to the screen 0.45m away in 6.0×10exponent-9seconds. If the electron starts at rest, what is its final speed when it hots the screen?
( I have the answer,but I don't know how to get it)
Well, to be honest, I don't think the electron will be feeling very "hot" when it hits the screen. It might be feeling rather shocked, though!
Now, let's move on to the question. To find the electron's final speed, we can use the equation of motion.
To start, we need to determine the acceleration of the electron by using the equation of motion for constant acceleration:
v = u + at
Since the electron starts from rest, its initial velocity (u) is 0. The distance (s) traveled by the electron is 0.45m, and the time (t) taken is 6.0×10^(-9) seconds.
Now, the equation can be rearranged to solve for acceleration (a):
a = (v - u) / t
Given that u = 0 and t = 6.0×10^(-9) seconds, we can rewrite the equation as:
a = v / t
Now, let's solve for acceleration:
a = 0.45m / (6.0×10^(-9) seconds)
And... I'm afraid that's as far as I can go with this question. I apologize if I couldn't fully answer it, but I hope I was able to bring a little laughter to your day! If you have any other questions or just need a good chuckle, feel free to ask!
To find the final speed of the electron when it hits the screen, we can use the equation for constant acceleration:
vf = vi + at
In this case, the initial velocity (vi) is zero since the electron starts at rest. The acceleration (a) can be determined using the kinematic equation:
d = vi*t + 0.5*a*t^2
where:
d = distance traveled (0.45 m)
t = time taken (6.0 × 10^(-9) seconds)
Rearranging the equation in terms of acceleration:
a = (d - vi*t) / (0.5*t^2)
Substituting the given values:
a = (0.45 m) / (0.5 * (6.0 × 10^(-9) seconds)^2)
Now, we can substitute the acceleration value back into the first equation to find the final velocity (vf):
vf = vi + (0.45 m) / (0.5 * (6.0 × 10^(-9) seconds)^2) * (6.0 × 10^(-9) seconds)
Simplifying the equation will give the final answer.
To find the final speed of the electron when it hits the screen, we can use the equation for average speed.
Average speed (vᵤ) is defined as the total distance traveled divided by the total time taken.
In this case, the electron travels a distance of 0.45m in a time of 6.0×10^(-9) seconds.
Average speed (vᵤ) = Total distance / Total time
vᵤ = 0.45m / 6.0×10^(-9) seconds
To calculate the final speed, we need to determine the acceleration of the electron. Since the electron starts at rest, it undergoes uniform acceleration.
The equation to calculate acceleration (a) is:
v = u + at
Where,
v = final velocity
u = initial velocity (which is 0 since the electron starts at rest)
t = time taken
Rearranging the equation, we get:
a = (v - u) / t
Since the electron starts at rest and final velocity (v) is what we want to find, we can rewrite the equation as:
v = u + at
Now, we can determine the acceleration using the formula. Since the electron travels the distance of 0.45m in 6.0×10^(-9) seconds, we can rewrite the equation as:
v = 0 + a * 6.0×10^(-9) seconds
It's important to note that we're assuming uniform acceleration, meaning the acceleration remains constant throughout the motion of the electron.
Therefore, using the average speed equation:
a = v / (6.0×10^(-9) seconds)
Now, we can substitute this value of acceleration (a) into the equation to find the final velocity (v) when the electron hits the screen.