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There are multiple parts to this. Some of them are multiple choice. I really don

ID: 1913492 • Letter: T

Question

There are multiple parts to this. Some of them are multiple choice. I really dont understand this. I am going to get tutoring tomorrow but as of right now I still need to get this done. Can someone please help me. I would really appreciate it. Big time. Im begging!!! Please help!

A wall has a negative charge distribution pro- ducing a uniform horizontal electric field. A small plastic ball of mass 0.0283 kg, carrying charge of .83 ?C, is suspended by an un- charged, nonconducting thread 0.284 m long. The thread is attached to the wall and the ball hangs in equilibrium in the electric and gravitational fields, as shown.

Find the magnitude of the electric field atthe ball?s location due to the charged wall.Assume the electric force on the ball has amagnitude of 0.0507 N. The acceleration dueto gravity is 9.8 m/s2 .Answer in units of N/C

Part 2

What is the direction of the electric field at

the ball?s location due to the charged wall,

relative to the given coordinate axes?

1. Directed along the positive y-axis

2. Directed downward and to the right,

along the line of the thread

3. Directed along the negative y-axis

4. Directed upward and to the left, along the

line of the thread

5. Directed along the positive x-axis

6. Directed along the negative x-axis

Part 3

Find the perpendicular distance from the wall

to the center of the ball.

Answer in units of m

Part 4

The thread is now cut.

Find the magnitude of the resulting accel-

eration of the ball.

Answer in units of m/s2

Part 5

Describe the resulting path of the ball.

1. It moves in a curved line with an increas-

ing acceleration.

2. It moves in a curved line with a constant

acceleration.

3. It moves in a straight line with a constant

speed.

4. It stays still.

5. It moves in a straight line with a constant

acceleration.

There are multiple parts to this. Some of them are multiple choice. I really dont understand this. I am going to get tutoring tomorrow but as of right now I still need to get this done. Can someone please help me. I would really appreciate it. Big time. Im begging!!! Please help! A wall has a negative charge distribution pro- ducing a uniform horizontal electric field. A small plastic ball of mass 0.0283 kg, carrying charge of .83 ?C, is suspended by an un- charged, nonconducting thread 0.284 m long. The thread is attached to the wall and the ball hangs in equilibrium in the electric and gravitational fields, as shown. Find the magnitude of the electric field atthe ball?s location due to the charged wall.Assume the electric force on the ball has amagnitude of 0.0507 N. The acceleration dueto gravity is 9.8 m/s2 .Answer in units of N/C Part 2 What is the direction of the electric field at the ball?s location due to the charged wall, relative to the given coordinate axes? 1. Directed along the positive y-axis 2. Directed downward and to the right, along the line of the thread 3. Directed along the negative y-axis 4. Directed upward and to the left, along the line of the thread 5. Directed along the positive x-axis 6. Directed along the negative x-axis Part 3 Find the perpendicular distance from the wall to the center of the ball. Answer in units of m Part 4 The thread is now cut. Find the magnitude of the resulting accel- eration of the ball. Answer in units of m/s2 Part 5 Describe the resulting path of the ball. 1. It moves in a curved line with an increas- ing acceleration. 2. It moves in a curved line with a constant acceleration. 3. It moves in a straight line with a constant speed. 4. It stays still. 5. It moves in a straight line with a constant acceleration.

Explanation / Answer

Part 2

What is the direction of the electric field at

the ball’s location due to the charged wall,

relative to the given coordinate axes?

1. Directed along the positive y-axis

2. Directed downward and to the right,

along the line of the thread

3. Directed along the negative y-axis

4. Directed upward and to the left, along the

line of the thread

5. Directed along the positive x-axis

6. Directed along the negative x-axis (CORRECT ANSWER)

Part 3

Find the perpendicular distance from the wall

to the center of the ball.

electric force / grav force = tan@

0.0507 / 0.0283*9.8 = tan@

@ = 10.36 degrees

horiz distance = L sin@ = 0.284*sin10.36 = 0.0511 m

Answer in units of m

Part 4

The thread is now cut.

Find the magnitude of the resulting accel-

eration of the ball.

grav acc = 9.8 E field acc = force/mass = 0.0507/0.0283 = 1.792

total acc = sqrt(9.8^2 + 1.792^2) = 9.96 m/s^2

Answer in units of m/s2

Part 5

Describe the resulting path of the ball.

1. It moves in a curved line with an increas-

ing acceleration.

2. It moves in a curved line with a constant

acceleration.

3. It moves in a straight line with a constant

speed.

4. It stays still.

5. It moves in a straight line with a constant

acceleration.

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