hw01 - homework 01 ZUMBERGE ALEX Due 4:00 am Answer in...

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homework 01 – ZUMBERGE, ALEX – Due: Jan 23 2008, 4:00 am 1 Question 1, chap 1, sect 1. part 1 of 1 10 points Two points in a rectangular coordinate sys- tem have the coordinates (4 . 7 cm, 4 . 1 cm) and ( - 4 . 5 cm, 4 . 9 cm). Find the distance between these points. Answer in units of cm. Question 2, chap 1, sect 1. part 1 of 2 10 points The radius of a small ball is around 3 . 11688 cm. The radius of a basketball is about 3 . 85 times larger. What is the ratio of the surface area of the small ball and a basketball? Question 3, chap 1, sect 1. part 2 of 2 10 points What is the ratio of their volume? Question 4, chap 1, sect 4. part 1 of 1 10 points A rectangle has perimeter 30 m. Express the area of the rectangle as a function A ( l ) of the length l of one of its sides. 1. A ( l ) = 15 l + l 2 2. A ( l ) = 30 + l 3. A ( l ) = 15 l - l 2 4. A ( l ) = 15 - l 5. A ( l ) = 30 l - l 2 6. A ( l ) = 30 l + l 2 Question 5, chap 1, sect 5. part 1 of 2 10 points A perfectly spherical piece of metal is found at the bottom of a wishing well. The mass of the object is 2 kg and the radius is 0 . 09 m. What is its density? Answer in units of kg / m 3 . Question 6, chap 1, sect 5. part 2 of 2 10 points What would the weight of this object be if it has the same volume and were make of pure gold? The density of pure gold is 19300 kg / m 3 . Answer in units of N. Question 7, chap 1, sect 6. part 1 of 1 10 points To protect her new two-wheeler, Iroda Bike buys a length of chain. She finds that its linear density is 0 . 63 lb / ft. If she wants to keep its weight below 1 . 7 lb, what length of chain is she allowed? Answer in units of ft. Question 8, chap 1, sect 6. part 1 of 1 10 points A water holding tank measures 110 m long, 42 m wide, and 12 m deep. Traces of mercury have been found in the tank, with a concen- tration of 78 mg / L. What is the total mass of mercury in the tank? Answer in units of kg. Question 9, chap 1, sect 6. part 1 of 4 10 points It is given that r and s are distances with unit [L], t is a time with unit [T] and θ is an angle in radians. What are the required dimensions for the quantity c in the expression s = c t 1. [ c ]=[L] [T] 2. [ c ]=1/[T] 3. [ c ]=[L]/[T] 4. [ c ]=[T]
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homework 01 – ZUMBERGE, ALEX – Due: Jan 23 2008, 4:00 am 2 5. [ c ]=[L]/[T 2 ] 6. [ c ]=1/[L] 7. [ c ]=[T]/[L] 8. [ c ]=[L 2 ] 9. [ c ]=[L] 10. [ c ]=[L] [T 2 ] Question 10, chap 1, sect 6.
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