Unit 3 - 2D Motion covers Newton's Universal Law of Gravitation, projectile motion as well as uniform circular motion.
Projectile Motion
An object is considered a projectile under the condition that the only force acting upon it is gravity. A projectile's motion can be described using an X component and a Y component. Neglecting air resistance, projectiles move at a constant velocity in the X direction. They accelerate downward at 9.8 m/s/s in the Y direction on Earth. You can use a few kinematic equations to solve for these components.
Projectile Motion
An object is considered a projectile under the condition that the only force acting upon it is gravity. A projectile's motion can be described using an X component and a Y component. Neglecting air resistance, projectiles move at a constant velocity in the X direction. They accelerate downward at 9.8 m/s/s in the Y direction on Earth. You can use a few kinematic equations to solve for these components.
Newton's Universal Law of Gravitation
Newton's Law of Universal Gravitation describes the gravitational force between two objects using the object's masses and the distance between the center of the objects. You can use the equation F = G(m1*m2)/r^2. Where G is the universal gravitational constant 6.67x10^-11, m1 and m2 are the masses of each object and r is the distance between the objects.
Newton's Law of Universal Gravitation describes the gravitational force between two objects using the object's masses and the distance between the center of the objects. You can use the equation F = G(m1*m2)/r^2. Where G is the universal gravitational constant 6.67x10^-11, m1 and m2 are the masses of each object and r is the distance between the objects.
Uniform Circular Motion
Uniform circular motion deals with the motion of an object moving in a circular path. The rate at which an object spins is called angular velocity, usually measured in rotations per second (rpm), or radians/degrees per second. This can also be measured in ω. To find the speed of an object from its angular velocity, multiply the object's angular velocity (in radians/second) by the object's distance from the center of the circle (meters). An important thing to keep in mind is that although the object has a constant speed, the velocity is constantly changing. Another key point is that the centripetal acceleration is always pointed in the direction of the center of the circle.
Uniform circular motion deals with the motion of an object moving in a circular path. The rate at which an object spins is called angular velocity, usually measured in rotations per second (rpm), or radians/degrees per second. This can also be measured in ω. To find the speed of an object from its angular velocity, multiply the object's angular velocity (in radians/second) by the object's distance from the center of the circle (meters). An important thing to keep in mind is that although the object has a constant speed, the velocity is constantly changing. Another key point is that the centripetal acceleration is always pointed in the direction of the center of the circle.
To find centripetal acceleration, use the equation a=(v^2)/r where v is the object's instantaneous velocity (m/s) and r is the radius of the circular path traveled. To find the net force of an object in circular motion, substitute the centripetal acceleration equation for "a" in F=ma. From this you derive the equation F=m(v^2)/r.