An object with a charge of -3.4 C and a mass of 1.7×10 2 kg experiences an upwar

Question

An object with a charge of -3.4 C and a mass of 1.7×102 kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight.

A. Find the magnitude of the electric field.

E= _________ N/C

B. Find the direction of the electric field

upward/ downward / left /right

C. If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration.

a= __________m/s^2

D. If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration.

upward/ downward / to the left / to the right

Explanation / Answer

Given that :

mass of the object, m = 1.7 x 10-2 kg

charge on an object, q = - 3.4 x 10-6 C

(A) The magnitude of the electric field which will be given as :

Fe = Fg

| q E | = | m g |

(3.4 x 10-6 C) E = (1.7 x 10-2 kg) (9.8 m/s2)

E = (16.66 x 10-2 N) / (- 3.4 x 10-6 C)

E = 4.9 x 104 N/C

(B) The direction of the electric field is downward.

(C) If the electric charge on the object is doubled while its mass remains the same, then the magnitude of its acceleration will be given as :

using an equation, we have

a = 2q E / m = 2 (3.4 x 10-6 C) (4.9 x 104 N/C) / (1.7 x 10-2 kg)

a = (33.32 x 10-2 N) / (1.7 x 10-2 kg)

a = 19.6 m/s2

(D) If the electric charge on the object is doubled while its mass remains the same, then the direction of its acceleration is upward.

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