Two identical masses on a horizontal plane slide along the x and y axes, respectively. Each is connected to the origin by an identical spring with force constant κ. They are also connect to each other by a third spring with a different force constant and a length that makes it unstressed when the other two springs are unstressed. Calculate the normal modes and normal coördinates for this system.

Current enters a circuit at a: 1.positive terminal 2.negative terminal 3.low potential side 4.resistor

What is the average speed of a car that travels 40 mph for 1 hour and 60 mph in another hour?

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.