What is the speed of a proton when its kinetic energyis equal to twice its rest energy?

2 Dimensional Motion Problem solving strategy Motion in the X direction is independent of motion in the X direction Break the problem into two parts, on for the X motion and one form the Y motion Handle each part like a 1D problem Express y as a function of x and t for each of the two objects Combine the equations to eliminate unknowns Force and Motion 1: Newton’s Laws of Motion Newton’s Laws of Motion: How to describe objects in motion A theory of Gravity Newton’s First Law If the body is at rest, it will remain at rest: static equilibrium If the body is in motion, then its velocity remains constant: dynamic equilibrium. The key condition is Zero net force. Newton’s Second Law The acceleration of a body is proportional to the net force acting on it Only forces that act on an object contribute to the net force on it The net force and acceleration are always in the same direction because m is a positive number Newton’s Second Law: Complex Systems A couple system contains two different forces and objects that the masses are working on. Normal Force (N): the force from an objects’ contact surface to resist other forces. It works in the opposite direction of the object exerting the other force. It is at a 90 degree angle from the surface. Static Friction (s ): the contact force that keeps and object “stuck” on a surface and prevents relative motion. Static friction is tangent to the surface towards the opposit