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Unformatted text preview: homework 04 FONTENOT, BRIAN Due: Feb 11 2008, 4:00 am 1 Question 1, chap 4, sect 5. part 1 of 3 10 points An athlete swings a 6 . 72 kg ball horizon- tally on the end of a rope. The ball moves in a circle of radius 0 . 995 m at an angular speed of 0 . 787 rev / s. What is the tangential speed of the ball? Answer in units of m / s. Question 2, chap 4, sect 5. part 2 of 3 10 points What is its centripetal acceleration? Answer in units of m / s 2 . Question 3, chap 4, sect 5. part 3 of 3 10 points If the maximum tension the rope can with- stand before breaking is 54 . 6 N, what is the maximum tangential speed the ball can have? Answer in units of m / s. Question 4, chap 4, sect 5. part 1 of 2 10 points A moon of a planet like the Earth is 486000 km distant from the planets center, and it completes an orbit in 32 . 5 days. Determine the moons orbital speed. Answer in units of m / s. Question 5, chap 4, sect 5. part 2 of 2 10 points How far does the moon fall toward the planet in 0 . 942 s? Answer in units of mm. Question 6, chap 4, sect 6. part 1 of 2 10 points Consider a river with a uniform current velocity vectorv c . A boat crosses the river. When viewed from the shore, the boats motion is perpendicular to the rivers banks. However, the heading of the boat the direction of its motion relative to the water is at angle = 38 upstream from the perpendicular. Use these data to determine the boats speed v b relative to the water, or rather its ratio v b /v c to the current speed: 1. v b v c = 1 sin 2 2. v b v c = sin 3. v b v c = tan 4. v b v c = 1 cos 5. v b v c = 1 tan 6. v b v c = cos 7. v b v c = 1 cos 2 8. v b v c = cos 2 9. v b v c = sin 2 10. v b v c = 1 sin Question 7, chap 4, sect 6. part 2 of 2 10 points Given the current speed v c = 3 . 8 m / s, the angle = 38 , and the time t = 295 s it takes the boat to cross the river, determine the rivers width L ....
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