The electric field above has magnitude 3.0 N/C. For each of the following particles placed in the field,
find (a) the force exerted by the electric field on the particle, and (b) the acceleration of the particle. Be
sure to give magnitude and direction in each case.
10 . an e- at rest
11 . a proton at rest
12 . a positron at rest
13 . an e- moving ↑ at 2 m/s
14 . an e- moving → at 2 m/s
15 . a proton moving at 2 m/s
16 . an e- moving ← at 2 m/s
17 . a positron moving up and to the right, at an angle of 30° to the horizontal, at 2 m/s
The Answers
(Step-by-Step Solutions to #2 and #10 Are on the Next Pages.)
1 . No force or acceleration, v = 0.
2 . F = 9.6 × 10−19 N, out of the page.
a = 1.1 × 10^12 m/s^2 , out of the page.
3 . No force or acceleration, sin θ = 0.
4 . F = 9.6 × 10−19 N, toward the top of the page.
a = 5.6 × 10^8 m/s^2 , toward the top of the page.
5 . F = 4.8 × 10−19 N, out of the page.
a = 5.3 × 10^11 m/s^2 , out of the page.
6 . F = 4.8 × 10−19 N, out of the page.
a = 5.3 × 10^11 m/s^2 , out of the page.
7 . F = 4.8 × 10−19 N, into the page.
a = 5.3 × 10^11 m/s^2 , into the page.
8 . No force or acceleration, sin θ = 0.
9 . F = 9.6 × 10−19 N, toward the bottom of the page.
a = 5.6 × 10^8 m/s^2 , toward the bottom of the page.
10 . F = 4.8 × 10−19 N, left.
a = 5.3 × 10^11 m/s^2 , left.
11 . F = 4.8 × 10−19 N, right.