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Gravitation, Periodic Motion - Coggle Diagram
Gravitation
Kepler's Law
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Kepler's third law
If T is thhe time that it takes for a planet to complete one revolution around the Sun and R is half the major axis of the ellipse then: T^2/R^3=C
For two planet,
T1^2/R1^3=T2^2/R2^3
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Weight
the weight of a body is the total gravitional force exerted on the body by all other bodies in the universe
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At a point above the earth’s surface a distance r from the center of the earth, the weight of a body is given as
w=Fg= GMeM/r^2
Escape Velocity
Ei=(mVe^2)/2-(mMG)/R, Ef=-(mMG)/r =0,
Ei=Ef --> (mVe^2)/2=(mMG)/R
Ve=sqrt(2MGR)
The motion of Satellites
The only force acting on a satellite in circular orbit around the earth is the earth gravitational attraction, which is directed toward the centre of the earth and hence toward the centre of the orbit.
This means that the satellite is in uniform circular motion and its speed is constant. The satellite isn’t falling toward the earth; rather it’s constant falling around the earth. In a circular orbit the speed is just right to keep the distance from the satellite to the center of the earth constant.
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Periodic Motion
When a vibration or oscillation repeats itself over and over the motion is said to be periodic.
-Most objects vibrate briefly when given an Impulse
-Electrical oscillations occur in TV's and radio's atoms vibrate around a fixed spot
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Spring
Stiffness of the Spring
Unit for the spring constant, k, is N/m.
The larger the value, the stiffer the spring
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Hooke's Law
Fspring=Felastic=-kx
F is negative because it is a restoring force, pulling or pushing the opposite direction of the displacement
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Damped Harmonic Motion
The amplitude of any real oscillating spring slowly decreases. This is damped harmonic motion
Damping is due to friction and air
