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

ISBN: 9781133103721 454

## Solution for problem 70 Chapter 2

Modern Physics for Scientists and Engineers | 4th Edition

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Modern Physics for Scientists and Engineers | 4th Edition

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Problem 70

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

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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

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