Newton’s Laws of Cooling & Universal Gravitation
Law’s of Cooling:
Newton's law of cooling is used measure the temperature change of an object of some temperature placed in a place of a different temperature. The law states that dT/dt= k(T-R)
where T is the temperature of the object at time t, R is the temperature of the surrounding of the place (constant) and k is a constant of proportionality. This law states that the rate of change of temperature is proportional to the difference between the temperature of the object and that of the surrounding environment.

In order to get the previous equation to something that we can use, we must solve the differential equation. The steps are given below.
1.Separate the variables. Get all the T's on one side and all the t's on the other side. The constants can be on either side. dT/T-R = k dt
2.Anti-differentiate both sides.
Ln( T-R ) = kt - C
3.Leave in the previous form or solve for T.
T= e^kt-C + R
When working with this law, remember that t is the variable, the other letters, R, k, C, are all constants. To find the temperature of the object at a given time, all of the constants first should have numerical values. In some cases of convection, you could apply this law and use it to get whatever it is you need.

Law’s of Universal Gravitation:
Isaac Newton compared the acceleration of the moon to the acceleration of objects on earth believing that gravitational forces were responsible for each other. Newton was able to draw an important conclusion about gravity depending on the certain distance. Fnet = m • a

Newton knew that the force that caused the apple's acceleration (gravity) must be dependent on the mass of the apple. Since the force acting to cause the apple's downward acceleration also causes the earth's upward acceleration (Newton's third law) that force must also depend on the mass of the earth. The force of gravity acting between the earth and any other object is directly...

...Newton'sLaw of UniversalGravitation
Gravity if one of the four fundamental forces in the universe. Though
the fundamental principles of it eluded scientists until Sir Isaac Newton was
able to mathematically describe it in 1687 (Eddington 93). Gravity plays a
serious part in everyday actions as it keeps everything on the ground; without
gravity everything would be immobile unless a force was applied (then it would
move infinitely...

...UniversalGravitation
Objectives
* Compare and contrast gravitational force vectors as mass and distance are changed. (Explorations 1, 2, and 3)
* Discover how changes in the distance between two objects affects the gravitational force between them. (Explorations 1, 2, and 3)
* Describe how changes in the masses of two objects affects the gravitational force between them. (Explorations 1, 2, and 3)
Description of Activity
In this activity, you...

...the UniversalLaw of Gravitation. As in all such legends, this is almost certainly not true in its details, but the story contains elements of what actually happened.
What Really Happened with the Apple?
Probably the more correct version of the story is that Newton, upon observing an apple fall from a tree, began to think along the following lines: The apple is accelerated, since its velocity changes from zero as it is hanging on the tree and...

...Physics 31N: Newton’s First Law
Item 1
Two forces have the same magnitude F.
Part A
What is the angle between the two vectors if their sum has a magnitude of 2F?
θ = 0∘
Part B
What is the angle between the two vectors if their sum has a magnitude of 2√F?
θ = 90∘
Part C
What is the angle between the two vectors if their sum has a magnitude of zero?
θ = 180∘
Item 2
An object is moving in the absence of a net force. Which of the following best...

...7.1 Newton’sLaw of UniversalGravitationNewton’sLaw of UniversalGravitation states that:
Every particle attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Consider two particles of masses m1 and m2 separated by a distance r. Each will exert a...

...NEWTON’SLAWS OF MOTION
Newton's First Law of Motion
An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
There are two parts to this statement - one that predicts the behavior of stationary objects and the other that predicts the behavior of moving objects. The two parts are summarized in the following diagram.
The behavior...

...4 m/sec2. What was the force (in Newton's) acting on the ball-bearing at that point?
A) 150 Newton's B) 200 Newton's C) 175 Newton's D) 196 Newton's
_____9. If a bird had a mass of .78 kg and a velocity of 2.2 meters per sec. and a mosquito had a mass of .0842 kg and a velocity of 17.5 meters per sec. which would have the most acceleration?
A) neither B) mosquito C) bird D) they...

...dtunName_________________________________
Home Challenge Lab 2- The force of Gravity
Topics covered in this lab:
The force of gravity
Newton’sLaws
One of the topics we have discussed is acceleration, meaning that the velocity of the object under study was changing. What causes something to accelerate? In this lab you will investigate the forces that affect the motion of objects.
Gravity
Materials:
<!--[endif]-->Something to...

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