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Iron Man and War Machine are both superheroes that are encased in fairly invulne

ID: 1372769 • Letter: I

Question

Iron Man and War Machine are both superheroes that are encased in fairly invulnerable metal suits, which we will assume act as conducting surfaces for the purposes of this problem. These two heroes are battling Electro, a supervillain capable of zapping his enemies with large amounts of electric charge. Electro zaps Iron Man and War Machine with electricity, bringing the charge on the surface of Iron Man's suit to -2,500 Coulombs and the charge on the surface of War Machine's suit to +3,650 Coulombs. If we treat these two heroes as point particles, then:

A) What basic equation should be used to determine the electric force between them if they are seperated by a distance of 6.2 meters?

B) What values should be used for each variable?

C) Solve the electric force Iron Man excerts on War Machine.

D) Is the electric force between these two attractive or repulsive?

E) What basic equation should be used to determine the electric field from Iron Man at some location between these two heros?

F) If we wish to know the magnitude of the electric field created by Iron Man's suit exactly half way between Iron Man and War Machine, what values should be used for each of your variables?

G) Solve to find the electric field exactly half way between Iron Man and War Machine.

Explanation / Answer

A) F = kQ1*Q2 / r^2

where r is the distance between them

B) K = 9*10^9

Q1 = 2500

Q2 = 3650

r = 6.2

C) F = 2.1*10^15

D) Attractive as charges are unlike

E) E = kQ1/x^2 + kQ2/(r-x)^2

F) x = 3.1

G) putting values, and electric field is in same direction so they will add up:

E = k/x^2 * (Q1 + Q2)

E = 5.75*10^12

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