Please show the FORMULA first and then solve the values PROBLEM The potential di

Question

Please show the FORMULA first and then solve the values

PROBLEM The potential difference between the two posts on a standard car battery is V-12 volts. Suppose the posts on your battery are d-27 cm apart. Imagine releasing an electron from rest at the negative post so that it can travel to the positive post. How quickly is the electron traveling when it reaches the positive post? PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished your paper solution already? Oyes no I-INTERPRET Identify all of the true statements. A. The electron's speed should not depend on the voltage. B. The electron's speed should not depend on distance between the posts. C. If an ice cube slides without friction down an incline, its speed at the bottom depends on its change in height. D. If an ice cube slides without friction down an incline of fixed height, its speed at the bottom depends on the angle of the incline. E. None of the above. DEVELOP Derive an algebraic expression for the electron's final speed. If required, use m to represent the electron's mass. Vfinal

Explanation / Answer

According to the given problem,

Using the conservation of energy principal,

K.Ef = E.P.Ei

1/2mvf2 = qV

vf = [ 2qV /m ]1/2

Now, substitute the values,

vf = 2.05*106 m/s

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