Ship a is located 4.0 km north and 2.5 km east of ship b. ship a has a velocity of 22 km/h toward the south, and ship b has a velocity of 40 km/h in a direction 37° north of east.
(a) what is the velocity of a relative to b in unit-vector notation with ˆi toward the east?
(b) write an expression (in terms of ˆi and ˆj) for the position of a relative to b as a function of t, where t 0 when the ships are in the positions described above.
(c) at what time is the separation between the ships least?
(d) what is that least separation?

An inclined plane wrapped around a metal shaft is a a. lever b. screw c. pulley d. wedge

Two identical stars with mass m orbit around their center of mass. each orbit is circular and has radius r, so that the two stars are always on opposite sides of the circle. (a) find the gravitational force of one star on the other. (b) find the orbital speed of each star and the period of the orbit. (c) how much energy would be required to separate the two stars to infinity?

Asatellite that goes around the earth once every 24 hours iscalled a geosynchronous satellite. if a geosynchronoussatellite is in an equatorial orbit, its position appearsstationary with respect to a ground station, and it is known as ageostationary satellite find the radius rof the orbit of a geosynchronous satellite that circles the earth.(note that ris measured from the center of the earth, not the surface.) you mayuse the following constants: the universal gravitational constant g is 6.67 \times 10^{-11}\; {\rm n \; m^2 / kg^2}. the mass of the earth is 5.98 \times 10^{24}\; {\rm kg}. the radius of the earth is 6.38 \times 10^{6}\; {\rm m}.