1) A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of length, L. The 1) a. string is tied to a horizontal post at point, P. There are two very large horizontal plates at y = 0 qnd y = d. (You can take the plates to essentially be infinitely large.) The distance between the plates is d, and the potential difference between the plates is +V, where the top plate is at the higher potential. The point, P, is at a height, h, from the bottom plate. There is another small sphereical charge of mass, mo, and charge, -qo, that remains fixed at (ro, yo). The string is initially stretched and held at an angle of 0o with the vertical, where 0o > 60°. The sphere is then released. b. c. т,q mo, - 40 yo Xo Figure 1 A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of length, L, which is tied to a horizontal post at point, P. There are two very large horizontal plates at y = 0 qnd y = d. The distance between the plates is d, and the potential difference between the plates is +V, with the top plate at the higher potential. The point, P, is a height, h, from the bottom plate. Another small sphereical charge of mass, mo, and charge, -qo, remains fixed at (ro, yo). The string is initially stretched and held at an angle of Oo with the vertical, and then released. a) Write an expression that gives the speed of the sphere when 0 = 0. b) Write an expression that gives the maximum speed of the sphere on the string. c) Write an expression that gives the maximum negative angle the sphere reaches. Note: In answering the above questions, if the algebra proves to be too difficult, you do not have to solve the equations. You just have to set up the expressions that one could solve to get the correct answer.
1) A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of length, L. The 1) a. string is tied to a horizontal post at point, P. There are two very large horizontal plates at y = 0 qnd y = d. (You can take the plates to essentially be infinitely large.) The distance between the plates is d, and the potential difference between the plates is +V, where the top plate is at the higher potential. The point, P, is at a height, h, from the bottom plate. There is another small sphereical charge of mass, mo, and charge, -qo, that remains fixed at (ro, yo). The string is initially stretched and held at an angle of 0o with the vertical, where 0o > 60°. The sphere is then released. b. c. т,q mo, - 40 yo Xo Figure 1 A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of length, L, which is tied to a horizontal post at point, P. There are two very large horizontal plates at y = 0 qnd y = d. The distance between the plates is d, and the potential difference between the plates is +V, with the top plate at the higher potential. The point, P, is a height, h, from the bottom plate. Another small sphereical charge of mass, mo, and charge, -qo, remains fixed at (ro, yo). The string is initially stretched and held at an angle of Oo with the vertical, and then released. a) Write an expression that gives the speed of the sphere when 0 = 0. b) Write an expression that gives the maximum speed of the sphere on the string. c) Write an expression that gives the maximum negative angle the sphere reaches. Note: In answering the above questions, if the algebra proves to be too difficult, you do not have to solve the equations. You just have to set up the expressions that one could solve to get the correct answer.
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Transcribed Image Text:1) A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of length, L. The 1) a.
string is tied to a horizontal post at point, P. There are two very large horizontal plates at y = 0
qnd y = d. (You can take the plates to essentially be infinitely large.) The distance between the
plates is d, and the potential difference between the plates is +V, where the top plate is at the
higher potential. The point, P, is at a height, h, from the bottom plate. There is another small
sphereical charge of mass, mo, and charge, -qo, that remains fixed at (ro, yo). The string is initially
stretched and held at an angle of 0o with the vertical, where 0o > 60°. The sphere is then released.
b.
c.
т,q
mo, - 40
yo
Xo
Figure 1 A small sphere of mass, m, carries a charge of +q. It's tied to a massless string of
length, L, which is tied to a horizontal post at point, P. There are two very large horizontal
plates at y = 0 qnd y = d. The distance between the plates is d, and the potential difference
between the plates is +V, with the top plate at the higher potential. The point, P, is a height, h,
from the bottom plate. Another small sphereical charge of mass, mo, and charge, -qo, remains
fixed at (ro, yo). The string is initially stretched and held at an angle of Oo with the vertical,
and then released.
a) Write an expression that gives the speed of the sphere when 0 = 0.
b) Write an expression that gives the maximum speed of the sphere on the string.
c) Write an expression that gives the maximum negative angle the sphere reaches.
Note: In answering the above questions, if the algebra proves to be too difficult, you do not have
to solve the equations. You just have to set up the expressions that one could solve to get the
correct answer.
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