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Problem 20.73 A 125 g ball containing 3.55×10 8 excess electrons is dropped into

ID: 1534203 • Letter: P

Question

Problem 20.73

A 125 g ball containing 3.55×108 excess electrons is dropped into a 105 m vertical shaft. At the bottom of the shaft, the ball suddenly enters a uniform horizontal 0.255 T magnetic field directed from east to west.

Part A

If air resistance is negligibly small, find the magnitude of the force that this magnetic field exerts on the ball just as it enters the field.

Express your answer in newtons to three significant figures.

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Part B

If air resistance is negligibly small, find the direction of the force that this magnetic field exerts on the ball just as it enters the field.

Problem 20.73

A 125 g ball containing 3.55×108 excess electrons is dropped into a 105 m vertical shaft. At the bottom of the shaft, the ball suddenly enters a uniform horizontal 0.255 T magnetic field directed from east to west.

Part A

If air resistance is negligibly small, find the magnitude of the force that this magnetic field exerts on the ball just as it enters the field.

Express your answer in newtons to three significant figures.

F= N

SubmitMy AnswersGive Up

Part B

If air resistance is negligibly small, find the direction of the force that this magnetic field exerts on the ball just as it enters the field.

If air resistance is negligibly small, find the direction of the force that this magnetic field exerts on the ball just as it enters the field. West South North East

Explanation / Answer

velocity = sqrt [2 g h]

= sqrt [2 * 9.8 * 105] = 45.37 m/s

Force = q v B = 3.55 * 108 * 1.6 * 10-19 * 45.37 * 0.255

= 6.57 * 10-10 N

Direction of the force that this magnetic field North

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