General Physios Final Exam Name: For aedu make your work dear to the grader. Sho

Question

General Physios Final Exam Name: For aedu make your work dear to the grader. Show formulas used, essential steps, and results with unis and significant figures. Partial credit s avaaable if your work clear. Points shown in Parenthesis l. J moon of Jupler with a mass M 890 10 kg, and a radius of 1820 km. a) ir NASA wants to put a sateate naverylow orbit around lo, what orbital speed is needed? (The b) orbrs altitude is very small compared to lo's radius.) What period will this satellite have? while pushing him backwards 3.3 m at constant speed before being tackled How much work did the tackler do while pushing A A220p*a car is initially coasting at a speed of 24 m/s when it comes to a 12.0incline. It coasts without friction or air resistance, up the incine. a) How large is the initial kinetic energy of the car, in b0 Aher it travels 75.0 m along the indine, is the gravitational potential energy of the car, Take the zero of to be at the bottom of the incine. c) How fast is the car coasting now after it went 75.0 m along the incline? 850 car is set in motion on a level road by a spring with spring constant k 2.40 10eNlm that. compressed 1.60 m. The car leaves the spring passes point and the driver siams on the brakes at point B. Tho wheels look and the car skids to a atop at pointC, due to knoto friction with coefficiont 0.700 a) is the inhsalmechanical energy of tho systom, with tho spring compressed 1.50 m, before the car is nolassed? b) What speed will the car have when it loaves the spring at pointA? e) what distance (BC) w the car sidd to a stop ather the brakes are applied and the wheels lock? ma A e C

Explanation / Answer

here,

mass of satellite , ms = 8.9 * 10^22 kg

radius , r = 1820 km = 1.82 * 10^6 m

a)

let the speed of orbit be v

equating the forces

G * mj * ms /r^2 = ms * v^2 /r

6.67 * 10^-11 * 1.898 * 10^27 /(1.82 * 10^6) = v^2

v = 2.6 * 10^5 m/s

b)

the time period , T = 2 * pi * r /v

T = 2 * pi * 1.82 * 10^6 /( 2.6 * 10^5) s

T = 43.96 s

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