Calculating Mass of Identical Lead Spheres Attracting 0.30(myu)N

In summary, the conversation discusses the calculation of the mass of two identical lead spheres that are 14cm apart and attract each other with a force of 0.30(myu)N. The equation F=GMm/r^2 is used to solve for the mass, but there is confusion about the units and how to manipulate the equation. It is suggested to have an intuitive understanding of the equation before attempting to solve it.
  • #1
tnutty
326
1

Homework Statement



Two identical lead spheres are 14cm apart and attract each other with a force of 0.30(myu)N .

What is their mass?

Homework Equations



F = GMm/r^2


The Attempt at a Solution



not sure but :

let myu = u.

.3uN = GMm/r^2

.3umg = GMm/r^2

u = 10/3 *GM/(r^2*g)


not sure what to do next.

Do I use the same equation for sphere 2, but solve for M and substitute?
 
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  • #2
You are confused. N means Newtons - it is not a number, it is a unit - it is a standard measurement for force, kind of like centimeters is for length. mg is the force of gravity (on EARTH, which has nothing to do with the problem!), and is not a unit.

This problem is really just plug and chug. You know that the two balls are identical, so that m = M. Otherwise, you're given all the data you need. You don't seem to understand the equation or the concept. Before you manipulate equations, be sure to have an intuitive feel for what the equation actually means.
 
  • #3
how about this :

Fg1 = G*M2 / r2

so,

.30u = G*M2 / r2

and just solve for M?
 
  • #4
help, anyone?
 

FAQ: Calculating Mass of Identical Lead Spheres Attracting 0.30(myu)N

How do you calculate the mass of identical lead spheres attracting 0.30(myu)N?

To calculate the mass of identical lead spheres attracting 0.30(myu)N, you will need to use the formula F = G (m1m2)/r^2, where F is the force of attraction, G is the universal gravitational constant, m1 and m2 are the masses of the two spheres, and r is the distance between the two spheres. Rearranging the formula to solve for m1 and m2, we get m1 = Fr^2/Gm2 and m2 = Fr^2/Gm1. Plug in the known values and solve for the mass of each sphere.

What is the unit of measurement for the force of attraction between the lead spheres?

The unit of measurement for the force of attraction between the lead spheres is Newtons (N). This is a unit of force in the International System of Units (SI).

Can the distance between the spheres affect the calculated mass?

Yes, the distance between the spheres can affect the calculated mass. As the distance between the spheres increases, the force of attraction decreases. Therefore, if the distance between the spheres is not accurately measured, it can result in an inaccurate calculation of the mass of the spheres.

Is the universal gravitational constant (G) a fixed value?

Yes, the universal gravitational constant (G) is a fixed value. It is a fundamental constant that is used in calculations involving gravitational force and is approximately equal to 6.67 x 10^-11 Nm^2/kg^2.

How can this calculation be applied in real-life situations?

This calculation can be applied in various real-life situations such as determining the mass of large celestial bodies like planets, stars, and galaxies, understanding the forces between objects in space, and designing structures that can withstand gravitational forces. It can also be used in industries that deal with heavy materials and require precise mass measurements.

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