Determine the true anomaly of the point(s) p1 and p2 on an elliptical orbit at which the speed equals the speed of a circular orbit with the same radius and centered in the primary focus of the ellipse. That is, Vellipse(P1) = Vellipse(P2) = Vcircle What's the angle between Vellipse(p1) and Vcircle?
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- Problem 4 Derive expressions for the velocity (7) and acceleration (a) vectors in spherical coordinates. That is, transform and a from the Cartesian system of (x, y, z) to (r, 0, 0).Question on parapola applications in pre-calculus 11. Question: A basketball hoop is hung on a wall, 3 metres above the floor. A ball strikes the wall 3.84 metres above the floor and falls through the middle of the hoop in a parabolic path, hitting the floor at a distance of 0.8 metres from the bottom of the wall. Calculate the distance from the wall to the middle of the hoop to 2 decimal places.Problem 1. Consider the Sun-Earth system with a center-to-center distance of 1.5x 101 m. Suppose that at some instance the Sun's velocity is zero and its location is at the origin. Ignoring all effects but that of the Earth, what will the Sun's velocity and position be after 1 day. Compute the same quantities for the Earth ignoring the fact the Earth is in a circular orbit (i.e., assume it to initially be at rest). Treat this as a 1D problem. Gr Ecrok FJ 2/A 2 57 (5.994 Xt0 49 5,21 10 Problem 2. Given only the distance between the Earth and Moon (REM = 3.84 x 108 m) and that between the Earth and the Sun (1 AU), determine the mass of the Earth and the mass of the Sun. How can we measure REM or RSE? M 1 142 1 k (P
- Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let Fp be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.5 FR if we move the apple (a) away from the planet and (b) into the tunnel? (a) Number: Units: (b) Number: Units:A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.25 radians since it started moving. a. The racecar is how many radius lengths to the right of the center of the race track? radius lengths Preview b. The racecar is how many meters to the right of the center of the race track? meters Preview c. The racecar is how many radias lengths above the center of the race track? radius lengths Preview d. The racecar is how many meters above the center of the race track? meterss PreviewPlease provide assistance with the question attached below:
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