CALCULATING THE MASS OF THE PITH BALLS AND TENSION OF THE STRINGBASED ON THIS IN

ID: 1407776 • Letter: C

Question

CALCULATING THE MASS OF THE PITH BALLS AND TENSION OF THE STRINGBASED ON THIS INFORMATION:

Pith ball mass

Wand charge #

Charge on each ball

Separation distance between the center of the pith balls

Length of the string from the center of ball to the hanging point

deflection angle of the pith balls

0.050g

100

4.692 · 109C”

7.0 cm

39.0 cm

5.0

Pith ball mass

Wand charge #

Charge on each ball

Separation distance between the center of the pith balls

Length of the string from the center of ball to the hanging point

deflection angle of the pith balls

here,

let the mass of each ball be m

charge ,Q = 4.692*10^-9 C

sepration distance , d = 7 cm

d = 0.07 m

deflection angle , theta = 5 degree

the electrostatic force on pith ball , F = k*q^2/d^2

let the tension in the string be t

equating the forces horizontally

t * sin(theta) = k *q^2/d^2

t * sin(5) = 9 * 10^9 * (4.692*10^-9)^2 / 0.07^2

t = 4.64*10^-4 N

equating the forces vertically

t * cos(theta) = m * g

4.64 * 10^-4 * cos(5) = m * 9.8

m = 4.72 * 10^-5 kg

the mass of the pith ball is 5 *10^-5 kg

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