Finding Gravity Constant

In summary, the conversation discusses finding the values for local acceleration and frictional force in a pulley system using a given equation and graphing acceleration in Excel. There is confusion about how to use the slope and y-intercept in the equation to find these values. The equation being used is a = (∆m/TOTAL MASS)g - (f/TOTAL MASS), where f represents the frictional force. The individual is unsure of how to obtain the gravity constant from the linear equation and clarifies the setup of the experiment.
  • #1
BayernBlues
65
0

Homework Statement



So I need to find the values for local acceleration and frictional force due to a pulley system using the equation below. After graphing acceleration for various ∆mass vs acceleration using Excel, I get the following equation:
y = 0.0144x - 0.0875

I don't understand what the slope and y intercept in this equation represent though, how can I use them to find the 'local acceleration and frictional force'?

Homework Equations



a = (∆m/TOTAL MASS)g - (f/TOTAL MASS)

where f = frictional force

The Attempt at a Solution



I think I'm supposed to get the gravity constant from the linear equation, but not sure how. Obviously it's not 0.0144.
 
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  • #2
What did your setup look like?

A hanging load (mass ∆m) pulling a trolley (string passing over pulley) with constant mass (mass m) horizontally? So that TOTAL (ACCELERATING) MASS = ∆m + m?
 
  • #3


I would first commend you on using Excel to graph and analyze your data. This is a great tool for scientific research and can help you visualize and interpret your results.

To find the local acceleration and frictional force, you will need to understand the equation you have provided. The slope of the equation, 0.0144, represents the value of (∆m/TOTAL MASS)g, which is the acceleration due to the change in mass divided by the total mass of the system and multiplied by the acceleration due to gravity (g). This is known as the net acceleration of the system.

The y-intercept, -0.0875, represents the value of -(f/TOTAL MASS), which is the negative of the frictional force divided by the total mass of the system. This means that the frictional force is acting in the opposite direction of the net acceleration.

To find the gravity constant, you will need to rearrange the equation to solve for g. This can be done by isolating the slope term and then dividing by the total mass. The result will be the value of the gravity constant.

It is important to note that this method may not give you the exact value for the gravity constant, as there may be some experimental errors or uncertainties in your data. However, it can give you a good estimate and can also help you understand the relationship between mass, acceleration, and friction in your pulley system.
 

What is the purpose of finding the gravity constant?

The gravity constant, also known as the gravitational constant or G, is a fundamental constant that is used to calculate the force of gravity between two objects. Its value is crucial in understanding and predicting the motion of celestial bodies, as well as in various fields of engineering and physics.

How is the gravity constant determined?

The gravity constant is typically determined through experiments and observations. One method involves measuring the gravitational force between two objects of known masses and distances, and then using the formula F = G(m1m2)/d^2 to solve for G. Other methods include using data from astronomical observations or using sophisticated apparatus like torsion balances.

What is the value of the gravity constant?

The current accepted value of the gravity constant is approximately 6.67430 x 10^-11 m^3/kg/s^2. However, this value is subject to change as more accurate measurements are made.

Why is it difficult to determine the exact value of the gravity constant?

One of the main challenges in determining the value of G is that it is an extremely small number, making it difficult to measure accurately. Additionally, the force of gravity is very weak and can be affected by other factors such as air resistance and the presence of other nearby objects.

How does the value of the gravity constant affect our understanding of the universe?

The value of G is essential in understanding the structure and behavior of the universe. It is used in various equations, such as Newton's law of universal gravitation and Einstein's theory of general relativity, to explain the motion of planets, stars, and galaxies. It also helps us understand the formation and evolution of the universe as a whole.

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