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 qnd y 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 sphercical charge of mass, mo, and charge, -q0, that remains fixed at (xo, yo). The string is initially stretched and held at an angle of 0, with the vertical, whcre 0, > 60°. The sphere is then relcascd. b. d. (You can take the plates to essentially be infinitely large.) The distance between the C. т,q то,- до 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 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 (xo, yo). The string is initially stretched and held at an angle of 00 with the vertical, 0 qnd y d. The distance between the plates is d, and the potential difference 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 algcbra 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 qnd y 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 sphercical charge of mass, mo, and charge, -q0, that remains fixed at (xo, yo). The string is initially stretched and held at an angle of 0, with the vertical, whcre 0, > 60°. The sphere is then relcascd. b. d. (You can take the plates to essentially be infinitely large.) The distance between the C. т,q то,- до 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 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 (xo, yo). The string is initially stretched and held at an angle of 00 with the vertical, 0 qnd y d. The distance between the plates is d, and the potential difference 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 algcbra 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
qnd y
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
sphercical charge of mass, mo, and charge, -q0, that remains fixed at (xo, yo). The string is initially
stretched and held at an angle of 0, with the vertical, whcre 0, > 60°. The sphere is then relcascd.
b.
d. (You can take the plates to essentially be infinitely large.) The distance between the
C.
т,q
то,- до
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
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 (xo, yo). The string is initially stretched and held at an angle of 00 with the vertical,
0 qnd y
d. The distance between the plates is d, and the potential difference
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 algcbra 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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