Question

1. Convert 60 miles per hour into meters per second. 2. A student is trying to remember some formulas from geometry. In what follows, assume A is area, V is volume, and all other variables are lengths. Determine which formulas are dimensionally consistent. (c) V-0.5bh, (e) V nd 3. The length of a warchouse is measured to be 95.00m. The height of the roof is measured to be 1,350.00cm. The width is measured to be 0.0015km. Calculate the volume of the warehouse in cubic meters (m3). 4. The speed of light is 3 x 108 meters per second (m/s). What is the speed of light in miles per year (milyr)? 5. How many days will have elapsed in 6.02 x 103 ns? 6. A watch loses 1 second every week. How many minutes will the watch be off at the end of 1 year Calculate how many litters of gasoline are used in the USA in one day? Assume that there are two cars for every three people, and each car is driven an average of 12,000 mi per year and the average car gets 15 miles per gallon. 7. (from the textbook chapter #1 ; question #54) Suppose [V1-L3, [p] 8. ML-3, and [t] T (a) What is the dimension of jpdv? (b) What is the dimension of dVid? c) What is the dimension of pldVid1)? C for product the cross 9(question # 68 fromthe textbook) Find (a) A =2.01-4.0 j + kand C-3.01+4.0 j +10.0 k (b) A-3.0 ^ + 4.0 ^ +10.0 k andで=2.0i-4.0j-k (c) A =-3.01-4.0 jandで一3.0 İ + 4.0 j (d)で-2.0^ + 3.0 ^ + 2.0 k and A-9.0 j 10. Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products: . (a) Aで; (b) A·F: (c) D .で; T 60° (e) (3 i- j) B, and (h) B B. 30 30° 53° 37o

Answer 1

Go mph to kmph v = 60 x 1.6 939- Cv) 371.8士0 milyr s.88 x1012