A10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. at time t0, the resulting mass-spring system is disturbed from its rest state by the force f(t) 180 cos(8t). the force f(t) is expressed in newtons and is positive in the downward direction, and time is measured in seconds a determine the spring constant k k= newtons/meter b. formulate the initial value problem for y(t). where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (give your answer in terms or y. y',y", t. differential equation: initial conditions: y(0) (equations) and y'(0) = (numbers) c. solve the intial value problem tor y(t) g(t) (formulas) d plot the solution and determine the maximum excursion rrom equilibrium made by the ob ect on the time interval ãooi there is no such maximum, enter none. maximum excursion meter

1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?

We will use a video to study faraday’s law of electromagnetic induction by analyzing the induction that occurs due a coil of copper wire sliding along an air track that passes through an external magnetic field. specifically, we will: examine some of the main principles behind faraday’s law. apply lenz’s law to determine the direction of the induced emf. take measurements of the induced emf from the voltmeter as the coil passes into and out of the external magnetic field. use the horizontal scale provided to determine the speed of the coil. calculate the magnetic field induced in the coil as it passes into and out of the external magnetic field.

The strong nuclear force acts over a small distance than the electrostatic force. true or false