Charged particle accelerates in an electric field?

AI Thread Summary
A positively charged particle accelerates upward to 200 m/s in 2.60 seconds, with a charge-to-mass ratio of 0.100 C/kg in a constant electric field. The initial attempt to calculate the electric field resulted in 769.23 N/C, but this was incorrect due to neglecting gravitational force. By incorporating gravity into the calculations, the correct electric field strength was determined to be 867.33 N/C. The direction of the electric field is upward, consistent with the particle's acceleration. The discussion emphasizes the importance of considering all forces acting on the particle for accurate results.
MaryCate22
Messages
22
Reaction score
0

Homework Statement


A positively charged particle initially at rest on the ground accelerates upward to 200m/s in 2.60s. The particle has a charge-to-mass ratio of 0.100 C/kg and the electric field in this region is constant and uniform.
What are the magnitude and direction of the electric field?

Homework Equations


F=ma
a=delta v/ delta t
Electric Fields E=F/q
Coulomb's Law F=kq/r^2 Not sure I need this one.

The Attempt at a Solution


E=F/q=ma/q=(m/q)a
E=(10 kg/C)(200/2.6 m/s^2) = 769.23 N/C = 7.7*10^2 N/C Direction upward.

Question seems pretty straightforward but it's telling me this answer is incorrect. If I have to incorporate Coulomb's law, I'm not sure how.
 
Physics news on Phys.org
Hint: Gravity ;)
 
Arcone said:
Hint: Gravity ;)

Thank you! Knew I was missing something obvious. Let me see if it works if I factor in gravity.
 
ma = Fe - Fg
ma = Eq - mg
a = E(q/m)-g

E = (a + g)/(q/m) = (76.923 + 9.81 m/s^2)/(0.100 C/kg) = 867.33 N/C = 8.7*10^2 N/C

This look right?
 
Yes, that's how i would solve it.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top