An object weighing 56 Ibs hangs on the end of a spring, stretching the spring 6 inches. The object is in a medium that exerts a viscous resistance of 12 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Remember that, in imperial units, acceleration due to gravity is 32 ft/s2 and that Ibs are a measurement of force. Be sure to convert any measurements necessary so that the units match.

An object weighing 56 Ibs hangs on the end of a spring, stretching the spring 6 inches. The object is in a medium that exerts a viscous resistance of 12 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Remember that, in imperial units, acceleration due to gravity is 32 ft/s2 and that Ibs are a measurement of force. Be sure to convert any measurements necessary so that the units match.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Blood flows through the aorta at an average speed of v = 18 cm/s. The aorta is roughly cylindrical with a radius r = 17.0 mm. The volume rate of blood flow through the aorta is πr2v. Calculate the volume rate of blood flow through the aorta in L/min.
Blood flows through the aorta at an average speed of v = 18 cm/s. The aorta is roughly cylindrical with a radius r = 14.8 mm. The volume rate of blood flow through the aorta is πr2v. Calculate the volume rate of blood flow through the aorta in L/min.
The human ciculatory system has approximately 109 capillary vessels. Each vessel has a diameter of about 8.4 μm. Assuming cardiac output is 4.2 L/min, determine the average velocity (m/s) of blood flow through each capillary vessel.
The shell is thin, but has a definite thickness. Calculate the (volume) density of the shell, in g/cm3. Here are the numbers: R = 13 cm M = 800 grams thickness = 0.3 mm
The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:
Variation of Pressure in the atmosphere. The pressure of the atmosphere decreases as we move higher in the atmosphere. The decrease in pressure is proportional to the decrease in density of air. р = 2|2° P P Where P = pressure at any point in the atmosphere, and p = density of air at any point in the atmosphere Po pressure at sea level = 1.013 x 105 Pa, and Po air density at sea level = 1.3 kg/m³. a) What is the density p in terms of po, P, and Po? b) Start from the formula dP = - p g dy to determine the pressure at any height y. Note: P is variable c) What is the pressure if the height is 5.0 km above sea level? d) At what height above sea level is the pressure equal to ½ Po ?
Express the answer in standard scientific notation with the appropriate number of significant figures. a. The mass of a blue whale, 180000 kg. ____ x10 ^___kg b. The diameter of a helium nucleus, 0.000 000 000 000 003 8 m. ____ x10 ^___m
A uniform cylindrical shaped object has a mass of 160.0 g, diameter 76.2 mm, and a height (thickness) of 25.4 mm. What is its density? Group of answer choices 1.38 × 103 kg/m3 2.97 × 103 kg/m3 5.48 × 103 kg/m3 7.68 × 103 kg/m3
Your heart continually pumps 5 gallons of blobd throughout your cardiovascular system. The blood moves fastest when exiting the heart at 6.3 miles per hour, and the speed decreases linearly by 0.25 miles per hour as it moves through the body. Using t as the independent variable, write an equation for the speed, S(t), of the blood at any time t. s(t) =
An object weighing 8 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 27 lbs when the object has a velocity of 6 ft/sec. Suppose the object is lifted an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Remember that, in imperial units, acceleration due to gravity is 32 ft/s? and that lbs are a measurement of force. Be sure to convert any measurements necessary so that the units match. Question Help: D Video D Post to forum - Submit Question
A group of students wish to determine, experimentally, the bulk density of an unknown metal. To determine this amount, the students measured the diameter, height, and mass of various cones. These values appear in Table 1. Determine: a) The volume of the cones and place them in table # 1. Table 1 Cones Height(cm) Diameter(cm) Volume(cm) Mass(g) 1 5 565 10 5 1295 15 1685 4 20 2160 5 25 2860 30 3505 7 35 3980 8. 40 4675 b) Using the graphical method, determine the density of the material. c) Make a prediction of the mass of a sphere that has a radius of 75 cm and is made of the same unknown material as the cones in the previous problem. 6. 00
An iron casting containing a number of cavities weighs 5.20E+3 N in air and 4.10E+3 N in water. What is the total volume of all the cavities in the casting? The density of iron (that is, a sample with no cavities) is 7.87 g/cm3. Number____ units: