Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

A particle of charge Q and mass m is accelerated from rest through a potentialdifference V, attaining a kinetic energy K. What is the kinetic energy of a partical of charge2Q and mass m/2 that is accelerated fromrest through the same potential difference?
a) K/4
b) K/2
c) K
d) 2K
e) 4K

Sagot :

Leenaidn

Hi there!

Recall the equation for work given a potential difference and charge:
[tex]\large\boxed{W = qV}[/tex]

W = Work (J)
q = charge (C)
V = Potential difference (V)

The work is equivalent to the change in KINETIC ENERGY, and only depends on the particle's charge and the potential difference that it experiences. Mass has no impact on this.

Thus:

[tex]W' = (2Q)(V) = 2W[/tex]

This is equivalent to:


[tex]\large\boxed{2W = \text{ d) } 2K}}[/tex]

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.