This unit deals with the concepts of Projectile Motion, Circular Motion and NEwton's Law of Universal Gravitation
Projectile Motion-
A projectile is an object in which the only force that is acting on it is gravity. When dealing with projectiles the two different type of motions are set up as motions in the X direction and motion in the Y direction. Objects will move in the X direction with a constant velocity and will accelerate downward at a speed of 9.8 m/s/s (or the force of gravity towards earth. Both of these can be solved fr using the various kinematic equations that have been covered in previous units.
A projectile is an object in which the only force that is acting on it is gravity. When dealing with projectiles the two different type of motions are set up as motions in the X direction and motion in the Y direction. Objects will move in the X direction with a constant velocity and will accelerate downward at a speed of 9.8 m/s/s (or the force of gravity towards earth. Both of these can be solved fr using the various kinematic equations that have been covered in previous units.
Circular Motion
Circular motion is how an object moves along a circular path. The rate at which the object spins in this circular path is called its angular velocity and it is measured in radians per second or ω. To find the objects speed; multiply the angular velocity by the radius of the circular path (the distance the object is from the center) in meters. Objects in circular motion do have a constant speed but has an ever changing velocity. This is because of the size of the radius. As it gets smaller then the object would naturally would have a greater angular velocity with the same speed. The acceleration of the object however is always pointed at the center of the circle as shown in this image:
Circular motion is how an object moves along a circular path. The rate at which the object spins in this circular path is called its angular velocity and it is measured in radians per second or ω. To find the objects speed; multiply the angular velocity by the radius of the circular path (the distance the object is from the center) in meters. Objects in circular motion do have a constant speed but has an ever changing velocity. This is because of the size of the radius. As it gets smaller then the object would naturally would have a greater angular velocity with the same speed. The acceleration of the object however is always pointed at the center of the circle as shown in this image:
https://physics.stackexchange.com/questions/38291/uniform-circular-motion
This acceleration towards the center of the circle is called Centripetal Acceleration and is found using the a=(v^2)/r, V is the objects instantaneous velocity and r is the radius of the circle. This (unfortunately for us physics students who don't want to do work) usually has to be combined with Newton's Second law, F=ma, when you are trying to find the net force for the object moving in a circular motion..
Universal Gravitation
Universal gravitation is measuring the level of gravity acting on two different objects by taking into account their mass and the distance from each objects center to the center of the other. The formula that goes along with this law is G(m1)*(m2)/r^2 where m1 and m2 represent then masses of the two objects and r is the distance between their center of mass. The G is the universal gravitational constant for the planet involved. For earth it is 6.67*10^-11.
Universal gravitation is measuring the level of gravity acting on two different objects by taking into account their mass and the distance from each objects center to the center of the other. The formula that goes along with this law is G(m1)*(m2)/r^2 where m1 and m2 represent then masses of the two objects and r is the distance between their center of mass. The G is the universal gravitational constant for the planet involved. For earth it is 6.67*10^-11.
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