I know im forgetting something simple

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To find the speed of a singly-charged positive ion after being accelerated through a potential difference of 250 V, the charge (q) of the ion, which is equal to the elementary charge (1.6 x 10^-19 C), is essential for calculations. The kinetic energy of the ion can be expressed as KE = qV, allowing for the determination of velocity using the equation KE = 1/2 mv^2. After calculating the velocity, the radius of the ion's path in a magnetic field of 0.500 T can be found using the formula r = mv/qB. Understanding the relationship between electric potential energy and kinetic energy is crucial for solving these types of physics problems. This approach will enable the completion of both parts of the question effectively.
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Once again, hello...
Alright, i know I am forgetting something simple...

A singly-charged positive ion of mass 2.50 ´ 10–26 kg, initially at rest, is accelerated through a potential difference of magnitude 2.50 ´ 102 V.

(a) Calculate the speed of the ion after passing through this potential difference.

(b) The ion then enters a region of uniform magnetic field of magnitude 0.500 T. The direction of the magnetic field is perpendicular to the ion’s velocity. Calculate the radius of the path of the ion in the field.

Now, i can solve this... however, I am stumped by something... How can i find the velocity of the particle after it leaves the potential difference... I would need q of the particle, allowing me to use K=qV, i know everything but q... is their another way of solving for the velocity??
Cheers
 
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No, you absolutely need q. How else could you calculate the electric force? since this is a singly charged ion, q is the basic charge e, 1.6x10^-19 C.
 
!

Hello again! It seems like you are on the right track with solving the problem. To find the velocity of the ion after passing through the potential difference, you can use the equation for kinetic energy: KE = 1/2 mv^2. Since the ion is initially at rest, its initial kinetic energy is zero. Therefore, the final kinetic energy will be equal to the work done by the potential difference, which is qV. So, you can set up the equation as KE = qV and solve for v. Once you have the velocity, you can then move on to part (b) and solve for the radius of the path using the equation r = mv/qB. I hope this helps and good luck with solving the problem!
 
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