Solve for Gravitational Field Strength at Point A: Get Help Here!

In summary, the conversation is about finding the gravitational field strength at point A in terms of G. The solution method discussed involves using g = GM/r^2 for both masses and then subtracting them. However, the answer given in the back of the book is G/4, which the person is struggling to obtain. They ask for someone to run through the calculations and explain the diagram, specifically asking about the representation of "X" and the meaning of "R".
  • #1
Lavace
62
0
Please check the attachment.

The question is:
Find the gravitational field strength at the point A in terms of G.

So I went about assuming we use g = GM/r^2, for both masses, and then subtract them as we're meant to find the overall using vectorial addition.

But, the answer in the back of the book is G/4. I can't seem to get this whatsover.

Could someone run through the calculations please?
Thanks a bunch!
 

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  • #2
Show what you've done so far. Explain your diagram. What does X mean? What is R?
 
  • #3
Both mass and the distance cannot be represented by 'X'.
 

Related to Solve for Gravitational Field Strength at Point A: Get Help Here!

1. What is the formula for calculating gravitational field strength at a point?

The formula for calculating gravitational field strength at a point A is F = Gm/r^2, where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m is the mass of the object creating the field, and r is the distance from the object to point A.

2. How do I determine the direction of the gravitational field at point A?

The direction of the gravitational field at point A is always towards the center of mass of the object creating the field. This means that the direction of the field is in the same direction as the force that a small test mass would experience if placed at point A.

3. What units are used for gravitational field strength?

The SI unit for gravitational field strength is Newtons per kilogram (N/kg). However, it can also be expressed in other units such as meters per second squared (m/s^2) or even pounds per pound (lb/lb).

4. How does the mass of the object creating the field affect the gravitational field strength at point A?

The mass of the object creating the field directly affects the gravitational field strength at point A. As the mass increases, the gravitational field strength also increases. This means that the larger the mass of the object, the stronger the pull of gravity at point A.

5. Can the gravitational field strength at point A be negative?

No, the gravitational field strength at point A cannot be negative. It is always a positive value, representing the magnitude of the force of gravity at that point. However, the direction of the field can be negative if it is pointing in the opposite direction of the force of gravity.

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