Question

In: Physics

Two identical particles, each of mass m, are located on the x axis at x=+x0 and...

Two identical particles, each of mass m, are located on the x axis at x=+x0 and x=-x0

a.

Determine a formula for the gravitational field due to these two particles for points on the y axis; that is, write g⃗ g→ as a function of y, m, x0, and so on.

Express your answers in terms of the variables y, m, x0, and appropriate constants. Enter your answers separated by a comma.

b.

At what point (or points) on the y axis is the magnitude of g⃗ g→ a maximum value, and what is its value there? [Hint: Take the derivative dg⃗ /dy.]

Express your answer(s) in terms of the variables y, m, x0, and appropriate constants. If there is more than one point, enter each point separated by a comma.

c.

What is the maximum value of the magnitude of g⃗ g→?

Express your answers in terms of the variables y, m, x0, and appropriate constants.

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