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IP Four masses are positioned at the corners of a

Chapter 12, Problem 12P

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QUESTION:

Four masses are positioned at the corners of a rectangle, as indicated in Figure 12–23. (a) Find the magnitude and direction of the net force acting on the 2.0-kg mass. (b) How do your answers to part (a) change (if at all) if all sides of the rectangle are doubled in length?

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QUESTION:

Four masses are positioned at the corners of a rectangle, as indicated in Figure 12–23. (a) Find the magnitude and direction of the net force acting on the 2.0-kg mass. (b) How do your answers to part (a) change (if at all) if all sides of the rectangle are doubled in length?

ANSWER:

Step 1 of 6

Given data:

Four masses are positioned at the corners of a rectangle, as indicated in Figure 12–23.

Step 2 of 6

a.)

Concept:

The gravitational force of attraction between two massive objects is directly proportional to the product of the two masses and inversely proportional to the square of the distance between them.

Mathematically, it can be expressed as below.

\(F = \frac{{G{m_1}{m_2}}}{{{r^2}}} \)

Here , G is the universal gravitational constant, \({m_1},{m_2}\) are the masses of the two objects, and r is the distance between them.

Sketch:

The given situation is shown in the below figure.

Step 3 of 6

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