A small sphere of charge q 1 = 0.864 ? C hangs from the end of a spring as in Fi

Question

A small sphere of charge

q1 = 0.864 ?C

hangs from the end of a spring as in Figure a. When another small sphere of charge

q2 = ?0.636 ?C

is held beneath the first sphere as in Figure b, the spring stretches by

d = 3.30 cm

from its original length and reaches a new equilibrium position with a separation between the charges of

r = 4.55 cm.

What is the force constant of the spring?
???? N/m

A small sphere of charge q1 = 0.864 ?C hangs from the end of a spring as in Figure a. When another small sphere of charge q2 = ?0.636 ?C is held beneath the first sphere as in Figure b, the spring stretches by d = 3.30 cm from its original length and reaches a new equilibrium position with a separation between the charges of r = 4.55 cm. What is the force constant of the spring? ???? N/m

Explanation / Answer

q1 = 0.864 microC q2 = - 0.636 microC

k*d = F (Electro static force between q1 and q2)

k*0.033 = | 1/(4*pi*eps)* q1*q2/r^2 |

= 2.38 N

Thus k = 2.38/0.033 = 72.12 N/m

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