4. (12] An alpha-particle (m = 6.64x1027 kg) and a charge of +2e is shot upward (relative to the Earth's surface) into a uniform electric field of E = 150001 - 26000j N/C. The initial velocity of the particle is v= 3.00x10 j m/s. Assume the particle starts at the origin, just entering the E-field, at t 0.00 s. a. Find the magnitude of the electric field. If the E-field is from a (large) single charged plate located above the alpha particle, find the sign and charge density magnitude of the plate. !3! b. Find the alpha-particle's acceleration due to the Electric field (unit vector notation).
4. (12] An alpha-particle (m = 6.64x1027 kg) and a charge of +2e is shot upward (relative to the Earth's surface) into a uniform electric field of E = 150001 - 26000j N/C. The initial velocity of the particle is v= 3.00x10 j m/s. Assume the particle starts at the origin, just entering the E-field, at t 0.00 s. a. Find the magnitude of the electric field. If the E-field is from a (large) single charged plate located above the alpha particle, find the sign and charge density magnitude of the plate. !3! b. Find the alpha-particle's acceleration due to the Electric field (unit vector notation).
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![4. (12] An alpha-particle (m = 6.64x1027 kg) and a charge of +2e is shot
upward (relative to the Earth's surface) into a uniform electric field of
E = 15000i – 26000j N/C. The initial velocity of the particle is i =
3.00x10 f m/s. Assume the particle starts at the origin, just entering
the E-field, at t = 0.00 s.
a. Find the magnitude of the electric field. If the E-field is from a
(large) single charged plate located above the alpha particle,
find the sign and charge density magnitude of the plate.
%3D
b. Find the alpha-particle's acceleration due to the Electric field (unit vector notation).
c. Is it acceptable to ignore Earth's gravity in this case? Justify response based on answer from part (b).
d. Sketch the approximate path of the alpha-particle in the electric field (you may draw on the figure).
Assume the field covers a very large area. [Hint: read the next part]
e. How long does it take the particle to reach a maximum vertical position height? Calculate the maximum
vertical position. Hint: you know something about one of the velocity components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e7bf893-5483-428c-9494-4e29ff0ec5eb%2F8c977c69-65e3-437c-be4c-2954fac94894%2F71awi6r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. (12] An alpha-particle (m = 6.64x1027 kg) and a charge of +2e is shot
upward (relative to the Earth's surface) into a uniform electric field of
E = 15000i – 26000j N/C. The initial velocity of the particle is i =
3.00x10 f m/s. Assume the particle starts at the origin, just entering
the E-field, at t = 0.00 s.
a. Find the magnitude of the electric field. If the E-field is from a
(large) single charged plate located above the alpha particle,
find the sign and charge density magnitude of the plate.
%3D
b. Find the alpha-particle's acceleration due to the Electric field (unit vector notation).
c. Is it acceptable to ignore Earth's gravity in this case? Justify response based on answer from part (b).
d. Sketch the approximate path of the alpha-particle in the electric field (you may draw on the figure).
Assume the field covers a very large area. [Hint: read the next part]
e. How long does it take the particle to reach a maximum vertical position height? Calculate the maximum
vertical position. Hint: you know something about one of the velocity components.
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