Consider a ball of mass m attached to a spring of stiffness k, oscillating with amplitude a on a frictionless horizontal surface. at what displacement from equilibrium does the system have equal quantities of kinetic and potential energy?

Explanation:

Given

mass of ball is m

Spring constant is k

If a ball is undergoing a SHM motion then the total energy associated with it is

Total Energy

where A=maximum Amplitude

Elastic Potential Energy of the system at any moment is given by

where x=compression in the spring

moment at which kinetic(K) and potential energy(U) are equal

i.e.

Total energy

i.e. at x=0.707 A kinetic energy and potential energy are equal

laticia draws the diagram below to show earth’s magnetic field.

answer

the arrows to the right of earth should point up.

beta is electron from nucleus

something from nucleus has changed, but charge must be same for cons of charge