An electrons acceleration. Please check my answer

AI Thread Summary
The discussion focuses on calculating the centripetal acceleration of an electron orbiting a helium nucleus with a radius of 3.09 x 10^-11 m. The user initially applies Coulomb's law to determine the force acting on the electron, resulting in a force value of 4.82 x 10^7 N. However, there is confusion regarding the calculation of acceleration, which the user calculates as 5.29 x 10^23 m/s², deemed incorrect by others in the thread. A correction is suggested regarding the exponent in the final acceleration calculation, indicating a misunderstanding of the mathematical operations involved. The conversation emphasizes the importance of careful exponent handling in physics calculations.
Miss1nik2
Messages
12
Reaction score
0
An electrons acceleration. Please check my answer!

Multiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occurring electrons is removed. The radius of the orbit is 3.09 x 10-11 m. Determine the magnitude of the electron's centripetal acceleration.

Multiple-Concept Example 3 tells you that the electron mass is 9.11 x 10 ^ -31 kg.

I know what I have to do...

First, use Coulomb's law to find the Force. Then, divide by mass to find the acceleration. But the answer I am getting is HUGE.

This is what I found...

F= 4.82 x 10 ^ 7

Then, a= 5.29 x 10 ^ 23.

But, I am told that is the wrong answer. Please help!
 
Physics news on Phys.org
Hi Miss1nik2! :smile:
Miss1nik2 said:
… the electron mass is 9.11 x 10 ^ -31 kg.

F= 4.82 x 10 ^ 7

Then, a= 5.29 x 10 ^ 23.

erm … you have 10 ^ 23 x 10 ^ -30 = 10 ^ 7 :redface:
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top