A 4.4 g object carries 3.7 C . It acquires a speed v when accelerated from rest

ID: 1407536 • Letter: A

Question

A 4.4 g object carries 3.7 C . It acquires a speed v when accelerated from rest through a potential difference V.

Part A

If a 1.6 g object acquires twice the speed under the same circumstances, what’s its charge?

Express your answer using two significant figures.

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A 4.4 g object carries 3.7 C . It acquires a speed v when accelerated from rest through a potential difference V.

Part A

If a 1.6 g object acquires twice the speed under the same circumstances, what’s its charge?

Express your answer using two significant figures.

q2 = C

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The speed acquired by a charge q, starting from rest at point A and moving through a potential difference of V, is given by

(1/2)*m*u^2 = q*V

u = (2*q*V/m)^(1/2)

given data

V1 = V2 = V

u1 = u

u2 = 2u

q1/q2 = (m1*u1^2*V2)/(m2*u2^2*V1)

q1/q2 = 4.4*u^2*V/(1.6*(2u^2)*V)

q1/q2 = 4.4/(6.4)

q2 = 3.7*10^-6*6.4/4.4 = 5.38*10^-6 C

q2 = 5.38 microC

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