2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions...
Can someone help me with this question and show all work 1) Planet Velocities and Energy (33 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation: Here Vis the speed of the body in m/s, G is the gravitational constant,...
The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. ...
Problem 1: Imagine a planet whose distance to the sun varies, in the course of its orbital motion, between 1.38 AU and 1.67 AU. What is the semimajor axis of this planet’s orbit? Select One of the Following: (a) 3.05 AU (b) 1.53 AU (c) 1.38 AU (d) 1.67 AU Problem 2: What is the eccentricity of this planet’s orbit? Select One of the Following: (a) 0.065 (b) 0.075 (c) 0.085 (d) 0.095 Problem 3: How long does it take...
In Example 34.6, we imagined equipping 1950DA, an asteroid on a collision course with the Earth, with a solar sail in hopes of ejecting it from the solar system. We found that the enormous size required for the solar sail makes the plan impossible at this time. Of course, there is no need to eject such an object from the solar system; we only need to change the orbit. A much more pressing problem is Apophis, a 300-m asteroid that may be...
Problem 2: Haley's Comet (A Real Life Example): Important: for this problem, complete all numerical work to a precision of at least six significant digits. Specifically: use the following precise values for astronomical constants: • Mass of the Sun = 1.98855 x 1030 kg • 1 AU = 149,597,870,700 meters . G=6.67384 x 10-11 N·m²/kg? Neptune Uranus Saturn Jupiter 05 2000 2005 2000----1995 2010 19921989 1988 1987 2024 1986 2061 2040 2060 2045 2050 2055 2056 2057 2058 2059 In...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
could you please solve a and b? Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...
1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory. Kepler had been helping Tycho Brache in collecting 13 years of observations on relative motion of the planet Mars. By 1609, Kepler had formulated his first two laws of planetary motion: i. Each planet moves on an ellipse with the sun at one focus. ii. For each planet, the line from the sun to the planet sweeps out equal areas is equal times. Kepler's...
even though the solutions are literally there i am confused and do not know how to do any of these problems ngular Momentum 2. What is the angular momentum of the moon as it revolves around the Earth? Assume the period of the moon's orbit is 27.3 days. Answer: 2.89 × 1034 kg m2/s The position of a particle of mass m with respect to the origin is given by 22. Use r x p to find an expression for...
4. Use Kepler's Second Law and the fact that L-fxp to determine at which points in an elliptical orbit around the Sun a planet has maximum and minimum speeds. (Section 13.5 will help.) 5. At the end of example 13.10, there's an "Evaluate" blurb about how inside the surface of the Earth the force of gravity varies proportionally to the distance from the center, and it makes reference to the next chapter. which is about oscillation. Model the motion of...