The Law of Gravitation

1. The Law of Gravitation states that every particle in the universe attracts with other particle (Serway, 2000). The cause of attraction is due to the gravitational force Fg which is equal to the product of the masses of the two bodies divided by the square of their radius or distance multiplied with a constant G (Universal Gravitational Constant);

The Coulomb’s Law deals about the Electromagnetic property of a particle. The Electromagnetic forces are forces that act between electrically charged particle. It is given by the equation,

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where k is a constant with a magnitude of 8.9875X109 Nm2/c2 , Q1 and Q2 are the charges of the particles and d is the distance between them.

Although the law of Universal Gravitation and the Coulomb’s Law may have similarities due to the fact that both forces are caused by the two particles and hence, both have the property to attract they still differ in their origin; Fg is caused by the masses of two particles while Fe is due to their charges.

Since the Gravitational Forces between atoms are so small, they are no significant effect in the formation of matter. It is the electromagnetic forces that bond the atoms.

2. (see #2 on the computation on la last page)

3. The Scientific Method:

a. Define the problem- ask your self to what really you want to happen

b. Gather the necessary information- this will serve as a guide and to some data

c. Create a hypothesis- create presumption to what will possibly be the answer to your problem

d. Experimentation and data gathering- conduct experiment to prove your initial conclusion and gather the data obtained.

e. Data analyses- analyze your findings

f. Data interpretation and conclusion- interpret your data and state what you’ve found out. This may vary from your hypothesis.

g. Documentation- publish data for evidences and future study

 

Problem Study: The Cost of Hydrogen Extraction from H2O for Engine Fuel

1. Problem: Is it practical to use this kind of fuel?

 

2. Gather information thru internet, journals, books, and other sources on how to extract hydrogen atom.

3. Hypothesis: Hydrogen is a natural gas and water is abundant so hydrogen gas will be a reliable source of fuel.

4. Conduct Experiment and record all the findings

5. Analyze the data

6. Interpret the data and draw a conclusion

7. Documentation

 

4. First Law of Motion: (Inertia) a body will remain at rest or constantly in motion unless acted by an imbalance force, a=0, v=constant.

Example: a book on top of the table will not move unless it is pushed. The only forces that act on the book are the normal force and weight which have both equal in magnitude and opposite in direction.

Second Law of Motion: (acceleration) when a net force F is applied to a body with mass m, the body will accelerate, F=ma.

Example a box with a mass of 1 kg is at rest and suddenly applied with a force of 3N, so the body then will accelerate at 3m/s.

Third Law of Motion: (action and reaction) when two objects interact, the forces exerted by both objects are equal in magnitude but opposite in direction, Fa= -Fb.

Example: try to jump away from the boat. You will notice that the boat will be pushed away from you.

5. Electricity and magnetism are correlated to each other. When two objects are being rubbed they become electrified and attract with each other. Hence, from the Coulomb’s Law above, it deals with charges and electricity has a charge and thus produces a magnetic property and the same with the magnetic flux, it produced electricity as what we can see in the Hydro Power plant.

2.(Solution)

Let

KE- Kinetic Energy

PE- Potential Energy

 

Given:

KE=PE

V= 20m/s

m= 2000kg

 

Requirement: find h.

sol’n.

KE= 1/2 mv2

= (0.5)(2000kg)(20m/s)2

= 400000 J

;

PE= 400000 J

PE= mgh

400000 J= (2000kg)(9.80665 m/s2) h

h = 20.39432426 m