Please show work 1. A particle with mass of 2.0 x 10^-11kg and charge 1.3 x 10^-
ID: 2263331 • Letter: P
Question
Please show work
1. A particle with mass of 2.0 x 10^-11kg and charge 1.3 x 10^-12 C accelerates from rest in a uniform electric field of 8400 N/C. At some later time, its speed is 1250 m/s.
a. Find the magnitude of the electric force on the particle?
b. What is the magnitude of the acceleration of the particle?
c. How long does it take the particle to reach this speed?
d. How far has it moved in that interval?
2. A parallel-plate capacitor has a distance of 0.05 m between the plates. A voltage (potential difference) of 120 V is maintained by a battery connected to the plates as shown in Figure 2. An electron (qe = -1.6x10^-19 C and m = 9.11x10^-31 kg) is placed midway between the plates.
a. What is the direction of the electric field between the plates? (Sketch the field lines and indicate direction
with arrows)
b. What is the magnitude of the electric field between the plates?
c. Draw a free body diagram to identify and calculate the forces acting on the electron?
d. What is the magnitude and direction of the acceleration of the electron?
A particle with mass of 2.0 x 10^-11kg and charge 1.3 x 10^-12 C accelerates from rest in a uniform electric field of 8400 N/C. At some later time, its speed is 1250 m/s. Find the magnitude of the electric force on the particle? What is the magnitude of the acceleration of the particle? How long does it take the particle to reach this speed? How far has it moved in that interval? A parallel-plate capacitor has a distance of 0.05 m between the plates. A voltage (potential difference) of 120 V is maintained by a battery connected to the plates as shown in Figure 2. An electron (qe = -1.6x10^-19 C and m = 9.11x10^-31 kg) is placed midway between the plates. What is the direction of the electric field between the plates? (Sketch the field lines and indicate direction with arrows) What is the magnitude of the electric field between the plates? Draw a free body diagram to identify and calculate the forces acting on the electron? What is the magnitude and direction of the acceleration of the electron?Explanation / Answer
1. A particle with mass of 2.0 x 10^-11kg and charge 1.3 x 10^-12 C accelerates from rest in a uniform electric field of 8400 N/C. At some later time, its speed is 1250 m/s.
a. Find the magnitude of the electric force on the particle?
b. What is the magnitude of the acceleration of the particle?
c. How long does it take the particle to reach this speed?
d. How far has it moved in that interval?
2. A parallel-plate capacitor has a distance of 0.05 m between the plates. A voltage (potential difference) of 120 V is maintained by a battery connected to the plates as shown in Figure 2. An electron (qe = -1.6x10^-19 C and m = 9.11x10^-31 kg) is placed midway between the plates.
a. What is the direction of the electric field between the plates? (Sketch the field lines and indicate direction
with arrows)
b. What is the magnitude of the electric field between the plates?
c. Draw a free body diagram to identify and calculate the forces acting on the electron?
d. What is the magnitude and direction of the acceleration of the electron?
a. electric force F = Eq = 8400*1.3*10^-12 =1.092*10^-8 N
b. as F=ma --> a = F/m = 1.092*10^-12/2*10^-11 =0.0546 m/s^2
c. using V = u+at--------> t = V/a = 1250/0.0546 =22893 secs
d. V^2 = 2aS------> s = 1250*1250/2*0.0546 =14308608 m
2. a. E= v/d -------> E = 120/0.05 = 2400 V/m
b.
c. ma = Eq
a = 2400*1.6*10^-19/(9.11*10^-31)
a = 4.21*10^14 m/s^2