What is the magnitude of v?

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In summary, the magnitude of v refers to the size or measure of a vector quantity, such as velocity or force. It is always a positive value and can be calculated using the Pythagorean theorem. The units used to measure it depend on the specific vector quantity being measured. The magnitude of v cannot be negative and is important in physics for understanding the strength of a vector and for performing vector operations.
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stephidjadi
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A circuit is pulled with a 16-N force toward the right to maintain a constant speed v. At the instant shown, the loop is partially in and partially out of a uniform magnetic field that is directed into the paper. As the circuit moves, a 6.0-A current flows through a 4.0- resistor.

What is the magnitude of v?
(a) 1.5 m/s (c) 6.4 m/s (e) 12 m/s
(b) 3.0 m/s (d) 9.0 m/s

the answer is (d) but i don't understand why
 
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  • #2
V.F=Effect=ampere*volt*=resistance*ampere^2

Put in numbers
v*16N=4ohm*36A^2
v=9m/s
 

What is the magnitude of v?

The magnitude of v refers to the size or measure of a vector quantity, such as velocity or force. It is represented by the length of the vector and is always a positive value.

How is the magnitude of v calculated?

The magnitude of v can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides. In vector terms, this means that the magnitude of v is equal to the square root of the sum of the squares of its components.

What units are used to measure the magnitude of v?

The units used to measure the magnitude of v depend on the specific vector quantity being measured. For example, the magnitude of velocity is typically measured in meters per second (m/s), while the magnitude of force is measured in Newtons (N).

Can the magnitude of v be negative?

No, the magnitude of v is always a positive value. This is because it represents the size or measure of a quantity, and therefore cannot have a negative value.

Why is the magnitude of v important in physics?

The magnitude of v is important in physics because it provides information about the strength or intensity of a vector quantity. It also plays a crucial role in vector operations, such as addition and subtraction, and can be used to calculate other important quantities, such as acceleration and work.

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