Open-Response Homework Problem 24.5 Sandra Bullock

QUESTION

Open-Response Homework Problem 24.5 Sandra Bullock, taking on one of her more desperate roles, acceptsa part in an extremely mediocre movie. To make up for the ill-developed plot, the director chooses to increasethe quality of cinematography by actually shooting the film in orbit 40,000 meters above the surface of the earth.The effect is quite stunning. At the time of the shoot, Sandra finds herself in a uniform circular orbit with theEarth under her feet and the moon directly overhead as depicted below. We will ignore any gravitational effectsof the moon for the time being and of the sun which shines far, far away.Useful Values:G = 6.67 × 10−11 m3kg · s2me = 5.97 × 1024kgre = 6.38 × 106mmm = 7.35 × 1022kgde,m = 3.85 × 108m(a)[2 pts] Draw a free body diagram of Sandra as she orbits the Earth. Be sure to indicate the direction theEarth is located on your diagram.(b)[7 pts] What angular velocity must Sandra have in order to remain in this orbit?(c)[6 pts] What is her acceleration in this orbit? In what direction is this acceleration?(d)[5 pts] What is the magnitude of her angular momentum in this orbit if Sandra has a mass of 50 kg?(e)[4 pts] Assume for just a moment that, due to a miscalculation or possibly a vendetta against scienceeducation on the part of the film’s director, she was actually in the incorrect orbit and begins to spiralin towards the earth. If she initially has the angular momentum calculated in part (d), what will be herangular momentum the instant before she hits the ground? Ignore any effects of the atmosphere.(f)[7 pts] Up till now, we have ignored the gravitational effects of the Moon for obvious reasons. Howeverthe Moon certainly is present directly overhead. Calculate the velocity Sandra would need to escape fromthis position in the Earth/Moon system and never return.

ANSWER:

REQUEST HELP FROM A TUTOR