Physics Question 1 (Kepler's first law) 1.1. Give expressions for the speed at the peri- and apocentre in terms of u, a and e. 1.2. What is the equation of orbit if the x- axis is chosen to coincide with the vector e? 1.3 What is the equation of orbit for a satellite that moves in a circular orbit about Earth? 1.4. For the Earth about the Sun, what is the that is the true anomaly (i.e., the angel between the pericentre and the satellite) if it holds that r = 150 x 106 km?
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- 1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400 meter west, 600 meter south, and 100 meter up. From Camp 4 to the peak is 900 meter east, 200 meter south, and 200 meter up. a. What is the displacement from Camp 3 to the peak of Mt. Everest? Give distances east/west, north/south and up/down from Camp 3 to the peak. b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the distance if you drew a straight line from Camp 3 to Mt. Everest.B. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m? 2. A spherical balloon is being inflated. Find the rate of increase if the surface area (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m C. 0.91 m Differentiation and Integration7.A Jogger runs along a circular track of radius R = 100.0 m. She starts at A and jogs three-fourths of the circular track, un to B She then turns back and jogs one-half of the circular track, up to C. (Note that the dashed line is only a guide for the eye - showing that B, the center of the circle, and C are collinear). A. What is the distance she traveled? B. Draw her displacement vector. C. What is the magnitude of her displacement? C R. A 3. B 66
- 5.You start at the origin on an ay plane. You walk 20 meters at an angle of 25 degrees north of the +x axis. After that, you turn, then walk 20 metors at an angle 45 degrees north of the +x axis. Finally, you turn and walk 10 meters at an angle 15 degrees south of the +x axis. Your friend, still at the origin, walks in a straight line to you in the fastest route. What angle do thoy take, and how many moters do they go?Hi, I need to some help for question 3. I did the first and second question. But I have some problems with the question 3. Is third question related to one and second? So please can you explain it like I am five. If it requires for number 1 I found v = 0, 48 x 106 m/s B as 0.5 T r = 2.04 m for question 2 I as 500 A n = 796 turn/m Thank you so much.A ball is thrown at an initial height of 90 feet at an initial velocity of 55 feet/second at an angle of 75 degrees. Given the parametric equations y = 16t2 + Vo · Sin(0)t + ho and r = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. f. How far horizontally will the ball be when it reaches its maximum height? feet
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