where is the initialdisplacementof the spring( if the springis initiallyunstretched)and is the
final displacement.A forceof is exertedon a springand stretchesit beyondits naturallength.
(a) Find the springconstant
(b) How muchworkis requiredto stretchthe spring beyondits naturallength?
- Whena forceof is appliedto a spring,it stretchesit from a lengthof to How much
workwill be donein stretchingthe springfrom to? (Hint:read the first part of problem#4
above.) - A flat surfaceis submergedverticallyin a fluid of weightdensity If the weightdensity is doubled,
is the forceon the platealso doubled?Explain. - The bottomof a rectangularswimmingpool,whosebottomis an inclinedplane,is shownbelow. Calculate
the fluid forceon the bottomof the pool whenit is filled completelywith water.
Figure 29
- Suppose is the probabilitydensityfunctionfor the lifetimeof a manufacturer’s light bulb,where
is measuredin hours.Explainthe meaningof eachintegral.
(a)
(b)
- The lengthof time a customerspendswaitinguntil his/herentreis servedat a certainrestaurantis modeled
by an exponentialdensityfunctionwith an averagetime of minutes.
(a) Whatis the probabilitythat a customeris servedin the first minutes?