À. Force (F) versus Mass (M) Force (newtons, N) Mass (grams, g) 100 5 12 16 200 300 20 400 24 500 29 600
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Apply the linear least-squares method to each set of data to obtain a mathematical model showing the relationships between variables.
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- A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.Under what practical condition is the neglect of weight of attached bodies justifiedA metal plate was found submerged vertically in sea water,which has density 64 lb/ cu. ft . Measurements of the width ofthe plate were taken at the indicated depths. Use Simpson’sRule to estimate the force of the water against the plate. depth (m) 7.0 7.4 7.8 8.2 8.6 9.0 9.4 plate width (m) 1.2 1.8 2.9 3.8 3.6 4.2 4.4
- Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article Forces on the Hand in the Tennis One-Handed Backhand reported the force (Newtons) on the hand just after impact on a one-handed backhand drive for six advanced players and for eight intermediate players. Type Of player Size Mean SD Advanced 8 45.3 12.1 Intermediate 10 22.4 10.2 1) Calculate a 95% CI for the difference of true average for advanced players (µ1) and the true average for intermediate players (µ2). 2) Does your interval provide good evidence for concluding that the two µs are different? 3) Would you have reached the same conclusion by calculating a CI for µ2 − µ1 (i.e., by reversing the 1 and 2 labels on the two types of players)? Explain7. Gold has a density (p = mass / volume) 19.32 g / cm3, is made as a foil. If a sample of gold, with a mass 27.63 g, is pressed into a foil of 0.1 cm thickness, what is the area of the foil?25. Calculate the density of the next piece knowing that it has a mass of 200 grams. Its length is 8 cm, the inner diameter is 4 cm and the outer diameter is 5 cm. Calculate the mass of the piece.
- A force of 4 pounds compresses a 15-inch spring a total of 4 inches. How much work is done in compressing the spring 5 inches?Use Hooke's Law to determine the variable force. Work doneA ring that weighs 80 grams is made of gold and silver. By measuring the displacement of the ring in water, it has been determined that the ring has a volume of 5 . Gold weighs 19, and silver weighs 10.5 . How many grams of gold does the ring contain?I need e) DO NOT USE BRUTE FORCE APPROACH
- A force of 2 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke’s Law applies, how far will a 4-N force stretch the rubber band? How much work does it take to stretch the rubber band this far?The Port of Charleston is considering an expansion of theircontainer terminal. The port has experienced the followingcontainer throughput during the past 12 years, expressed as TEUs (i.e., 20 feet equivalent units, a standard unit of mea-sure for containers). % %Year Applicants Offers Offers Acceptances Acceptances1 13,876 11,200 80.7 4112 36.72 14,993 11,622 77.8 4354 37.33 14,842 11,579 78.0 4755 41.14 16,285 13,207 81.1 5068 38.05 16,922 11,382 73.2 4532 39.86 16,109 11,937 74.1 4655 39.07 15,883 11,616 73.1 4659 40.18 18,407 11,539 62.7 4620 40.09 18,838 13,138 69.7 5054 38.510 17,756 11,952 67.3 4822 40.3 Year TEUs (1,000s)1 526.12 549.43 606.04 627.05 695.76 734.97 761.18 845.49 1,021.110 1,137.111 1,173.612 1,233.4 Develop a linear trend line forecast for these data andforecast the number of TEUs for the next year.b. How strong is the linear relationship for these data?A vertical solid steel post of diameter ddd = 22 cmcm and length LLL = 3.00 mm is required to support a load of mass mmm = 8000 kgkg . You can ignore the weight of the post. a)What is the stress in the post? b)What is the strain in the post? c)What is the change in the post's length when the load is applied?
