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6 Nov 2019
Two small spheres of mass m and carrying absolute charge qare
suspended by massless threads of length L, as shown. Thedistance
between the anchor points of the threads is equal to d . Atequilibrium,
the two spheres lie in the same horizontal plane, and the threadseach
make an angle ? with the vertical.
1. (1 pt) Assuming the figure is correct and the charges arerepelled from
each other, choose the best answer below:
(a) Both spheres are positively charged
(b) Both spheres are negatively charged
(c) One sphere is negative and one is positive
(d) Both (a) and (b) are possible
(e) None of the above are possible
2. (2 pts) Draw a clear free-body diagram for the leftsphere.
3. (1 pt) What is the horizontal distance between the (centers ofthe) spheres, at equilibrium, in
terms of L, d and/or ? ?
4) (3 pts) What is the magnitude and direction of the electrostaticforce on the left sphere in
terms of m, g, and/or ? ?
5) (3 pts) What is the value of q in ?C, if d = 30 cm, L = 10 cm, ?= 30°, take g = 10 m/s2
and k = 9â¢109 (N m2/C2), and these are ping-pong balls of mass m =2.7 grams?
Two small spheres of mass m and carrying absolute charge qare
suspended by massless threads of length L, as shown. Thedistance
between the anchor points of the threads is equal to d . Atequilibrium,
the two spheres lie in the same horizontal plane, and the threadseach
make an angle ? with the vertical.
1. (1 pt) Assuming the figure is correct and the charges arerepelled from
each other, choose the best answer below:
(a) Both spheres are positively charged
(b) Both spheres are negatively charged
(c) One sphere is negative and one is positive
(d) Both (a) and (b) are possible
(e) None of the above are possible
2. (2 pts) Draw a clear free-body diagram for the leftsphere.
3. (1 pt) What is the horizontal distance between the (centers ofthe) spheres, at equilibrium, in
terms of L, d and/or ? ?
4) (3 pts) What is the magnitude and direction of the electrostaticforce on the left sphere in
terms of m, g, and/or ? ?
5) (3 pts) What is the value of q in ?C, if d = 30 cm, L = 10 cm, ?= 30°, take g = 10 m/s2
and k = 9â¢109 (N m2/C2), and these are ping-pong balls of mass m =2.7 grams?
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answers
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23 Jan 2021
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