Is 1.875×10^8 m/s² the Correct Acceleration for the Electron in the TV Tube?

In summary, an electron of mass 9.11×10^−31 kg is accelerated from rest to a speed of 4.50×10^6 m/s over a distance of 1.20 cm by a constant force. The acceleration can be found using the equation v^2=u^2+2*a*s, where v is the final speed, u is the initial speed, and s is the distance. The time can be calculated using the equation a=(v-u)/t, and the net force can be found using the equation \sumF=ma. It is important to convert all units to SI before substituting into the equations. The acceleration value of 1.875*10^8 given by the
  • #1
kleencut
5
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1. An electron of mass 9.11×10^−31 kg leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is a distance 1.20 cm away. It reaches the grid with a speed of 4.50×10^6 m/s. The accelerating force is constant.
Find the acceleration.
Find the time to reach the grid.
Find the net force. (ignore gravity on the electron)




2. v^2=(u^2)+2*a*s



3. I plugged in the numbers to the equation v^2=(u^2)+2*a*s. to find acceleration, but the anwer (1.875*10^8) was incorrect. Is this the correct equation? The other answers should stem from the acceleration right?
 
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  • #2
(4.50×10^6 m/s.)^2 = 2*a*(1.2x10^-2)
From the above equation find the value of a
 
  • #3
Acceleration - Sub into equation v2=u2+2aS -- make sure you only substitute after converting to SI units.

Time - Use Equation a=(v-u)/t (Yes you need to find acceleration first)

Net force - Use equation [tex]\sum[/tex]F=ma

And 1.875*10^8 for acceleration is wrong.

Hope this helps.
 

FAQ: Is 1.875×10^8 m/s² the Correct Acceleration for the Electron in the TV Tube?

1. What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction. It is measured in units of distance per time squared, such as meters per second squared (m/s^2).

2. What is the equation for acceleration?

The equation for acceleration is a = (vf - vi) / t , where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. This equation is also known as the average acceleration formula.

3. How do you calculate acceleration from a velocity-time graph?

To calculate acceleration from a velocity-time graph, you can find the slope of the graph at a specific point. The slope is equal to the change in velocity over the change in time, which is the same as the acceleration at that point.

4. How does mass affect acceleration?

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that a larger mass will experience a smaller acceleration for the same force, and vice versa.

5. Can acceleration be negative?

Yes, acceleration can be negative. This indicates that the object is slowing down or changing direction in the opposite direction of its initial velocity. Negative acceleration is also known as deceleration or retardation.

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