Please explain in full detail as I am trying to understand this concept! thank you! a. Sketch a diagram including Earth, Sun, and Mars, with attention to scale of distance (Mars is about 1.5 AU from the Sun) showing a faster trajectory from Earth to Mars than the minimal energy trajectory discussed in the lecture. b. Without doing a calculation, how would the arrival velocity of the spacecraft at Mars for the case in (a) compare to the spacecraft arrival in the class example? The lecture example had the spacecraft arriving at Mars with a velocity of 22.49 km/sec. c. The average velocity of Mars in orbit around the Sun is 24.08 km/sec. Comment on the trade-offs between trajectories, arrival velocities and velocity changes (delta V) required to enter an orbit around Mars.

3 Stud, Bue Onine Fasncards os docs.google.com k #2 at a glance SEM II O prmat Tools Add-ons Help Last edit was 6 minutes ago Normal text Times New. 14 + BIUA I| 3 I 4 5 6 I II 7 Model ion: 1. A 7kg object is moving with a speed of 8m/s from a height of 2 m: a. Calculate the Kinetic Energy: 2 mv .5 x 10x 12= b. Calculate the gravitational PE: c. Calculate Mechanical Energy: !!!

Use the diagram and the fact that Planet A has a nearly circular orbit while Planet B has a highly elliptical orbit to answer the following questions. Use examples of Newton’s and Kepler’s laws in your answers. a. Does Planet B travel faster or slower when it is closest to the Sun than at other times? Explain your answer. b. Which planet takes longer to orbit the Sun? Explain your answer. c. Does the gravitational attraction between these planets increase or decrease as their orbits move them closer together? Explain your answer.  d. Which planet has the highest average orbital speed? Explain your answer. e. Which planet travels at about the same speed throughout its orbit? Explain your answer.

Which of the following is least reasonable regarding the "water hole"? Group of answer choices It consists of frequencies which are greater than the frequencies of atmospheric emissions.   It relates to the natural frequencies of vibration of hydroxyl (OH) and hydrogen (H), respectively.   It occurs in that part of the electromagnetic spectrum where the galactic "noise" from stars and interstellar clouds is minimized.   It is considered the "electromagnetic oasis" for interstellar communication.   It corresponds to wavelengths in the 18-21 cm range.

Please answer both parts of question C.

The energy of a moving object is given by the equation of E-mv². What is the constant? What type of variation is this? If the energy is 16 joules and the mass is 1 kg (kilogram), what is the velocity?