Question
dionar luee F1,2 and F1,3 exerted by m2 and m3, respectively, on mass mi. b) Find the resultant force F F1,2 + F1, 3 in vector form c) Find the magnitude of the resultant force, F = d) Find the direction of F, that is, the angle with respect to the positive x- axis.) e) Find the potential energy of the bound system 5 points] 2) The Leonid spacecraft is orbiting Jupiter at a distance of R= 3.22x10° km from its center. The mass of Jupiter is M-1.898x 1027 kg. Radius of Jupiter is r = 0.699 x 105 km. a) Find the velocity that Leonid has to achieve in order to make an emergency escape from the orbital distance given above. (2 points) 3) A space probe is moving in a circular orbit around the Moon at a constant speed and at an altitude of h = 1000 km above the Moon's surface. 1km = 1 ,000m a) Determine the speed of the space probe. b) Find the period. The time it takes to complete one revolution. c) The probe landed on the moon's surface to collect a bit of lunar soil. What speed is required for it to leave the moon? (3 points) Ry,-1.74 x 10"6 m, MM = 7.36 x 10022 kg, Mprobe = 1,520 kg G= 6.67 x 10^-11 N-m2kg2 4) A 500 kg weather satellite orbits the earth at a distance r = 6.52 x 1.6 m from its center. a) Use Kepler's Law to find the period of the orbit. b) Find the total mechanical energy of the orbiting satellite. (2 poin
Explanation / Answer
Q2.
RL (Leonid) = 3.22e5 km
RJ (Jupiter) = 0.699e5 km
MJ = 1.898e27 kg
vL = ?
V = sqrt(2GM/R)
=> VL = sqrt((2*6.674e-11*1.898e27)/(3.22e5))
= 8.87*10^5
So, v should be less than 8.87*10^5
Pls post other ques separately.
