An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to ele

Question

An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +8.11 x 105 m/s to a final velocity of 1.21 x 106 m/s while traveling a distance of 0.0662 m. The electron's acceleration is due to two electric forces parallel to the x axis: F1 = 9.00 x 10-17 N, and , F2 which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .

Explanation / Answer

Initial speed = 8.11 x 105 m/sec

Final speed = 12.1 x 105 m/sec

Gain in Kinetic energy = [(9.11 x 10-31)/2 ] [ (12.1x105)2 - (8.11x105)2]

             = [(9.11 x 10-31)/2 ] x 80.63 x 1010

           = 365.766 x 10-21 Joules

This energy gained by the particle is provided by the net force acting on it.

Let, F be the net force on it.

F.d = 365.766 x 10-21

where d is the distance moved = 0.0662 m

F = .5525 x 10-17 N

Given, F1 = 9 x 10-17 N

F = F1 + F2

F2 = - 8.4475 x 10-17 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.