Amass of 20 g stretches a spring 5 cm. suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn·s/cm. if the mass is pulled down an additional 2 cm and then released, find its position u at any time t. plot u versus t. determine the quasi frequency and the quasi period. determine the ratio of the quasi period to the period of the corresponding undamped motion. also find the time τ such that |u(t)| < 0.05 cm for all t > τ.

A110-pound person pulls herself up 4.0 feet. this took her 2.5 seconds. how much power was developed? 0.13 hp 0.32 hp 2.0 hp 3.1 hp

Awave is produced in a rope. the wave has a speed of 33 m/s and a frequency of 22 hz.

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?