Coulomb's Law A thin rod of length L, oriented in the x-direction, has charge +Q. The rod lies on the floor. The left end of the rod is touching a wall. On the floor, a small frictionless puck of mass M and charge Q is also touching the wall. The puck is a distance b from the left end of the rod. If the wall were removed, the puck would slide at an angle. But the wall constrains the puck to slide only in the y-direction. Here, the y-direction is not vertical. It's along the floor, perpendicular to the rod. a. What is the puck's acceleration, immediately after it's released? Hint: The wall constrains the puck to accelerate only in the y-direction. Therefore, you need to worry only about the y-directed forces. If you can't complete the math, that's OK; but set things up completely. Top down view Base of wall Puck b. What normal force does the wall exert on the puck when the puck is first released? Hint: The normal force, which points in the x-direction, must cancel the x-component of the electric force. C. If b is much larger than L, what is the puck's initial acceleration (to good approximation)? Could you have figured this out without solving part (a)? ட்.

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Coulomb's Law
A thin rod of length L, oriented in the x-direction, has charge
+Q. The rod lies on the floor. The left end of the rod is touching
a wall. On the floor, a small frictionless puck of mass M and
charge Q is also touching the wall. The puck is a distance b
from the left end of the rod.
If the wall were removed, the puck would slide at an angle. But
the wall constrains the puck to slide only in the y-direction.
Here, the y-direction is not vertical. It's along the floor,
perpendicular to the rod.
a. What is the puck's acceleration, immediately after it's
released? Hint: The wall constrains the puck to accelerate
only in the y-direction. Therefore, you need to worry only
about the y-directed forces. If you can't complete the
math, that's OK; but set things up completely.
Top down view
Base of
wall
Puck
b. What normal force does the wall exert on the puck when the puck is first released? Hint:
The normal force, which points in the x-direction, must cancel the x-component of the
electric force.
C.
If b is much larger than L, what is the puck's initial acceleration (to good approximation)?
Could you have figured this out without solving part (a)?
ட்.
Transcribed Image Text:Coulomb's Law A thin rod of length L, oriented in the x-direction, has charge +Q. The rod lies on the floor. The left end of the rod is touching a wall. On the floor, a small frictionless puck of mass M and charge Q is also touching the wall. The puck is a distance b from the left end of the rod. If the wall were removed, the puck would slide at an angle. But the wall constrains the puck to slide only in the y-direction. Here, the y-direction is not vertical. It's along the floor, perpendicular to the rod. a. What is the puck's acceleration, immediately after it's released? Hint: The wall constrains the puck to accelerate only in the y-direction. Therefore, you need to worry only about the y-directed forces. If you can't complete the math, that's OK; but set things up completely. Top down view Base of wall Puck b. What normal force does the wall exert on the puck when the puck is first released? Hint: The normal force, which points in the x-direction, must cancel the x-component of the electric force. C. If b is much larger than L, what is the puck's initial acceleration (to good approximation)? Could you have figured this out without solving part (a)? ட்.
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