The electric field at a point in space is E =( 900 i ^+ 100 j ^)N/C. Part A What

Question

The electric field at a point in space is E  =( 900i^+ 100 j^)N/C.

Part A

What is the x-component of the electric force on a proton at this point?

Express your answer with the appropriate units.

Part B

What is the y-component of the electric force on a proton at this point?

Express your answer with the appropriate units.

Part C

What is the x-component of the electric force on an electron at this point?

Express your answer with the appropriate units.

Part D

What is the y-component of the electric force on a electron at this point?

Express your answer with the appropriate units.

Part E

What is the magnitude of the proton's acceleration?

Express your answer with the appropriate units.

Part F

What is the magnitude of the electron's acceleration?

Express your answer with the appropriate units.

Explanation / Answer

Given:

E = ( 900i+ 100j)N/C

and we know

Mass of proton (mp) = 1.67*10-27 kg
Mass of electron (me) = 9.11*10-31 kg

q = 1.6*10-19 C

a) Fpx = qE = 1.6*10-19*900 = 14.4*10-17N

b) Fpy = qE = 1.6*10-19*100 = 1.6*10-17N

c) Fex = -qE = -1.6*10-19*900 = -14.4*10-17N

d) Fey = -qE = -1.6*10-19*100 = -1.6*10-17N

e) Mangnitude of Force F = sqrt(Fpx2 + Fpy2) = sqrt((14.4*10-17)2 + (1.6*10-17)2) = 14.49*10-17N

=> ap = F/mp = (14.49*10-17)/(1.67*10-27) = 8.676 * 1010 m/s

f) ae = F/me = (14.49*10-17)/(9.11*10-31) = 1.59 * 1014 m/s

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

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