In 2050, astronomers discover that the nearest black hole in our galaxy has a very orderly planetary system, with 3 planets in circular orbits. The planets A, B, and C have orbits with circumferences that are exactly 20, 40, and 60 times the circumference of the event horizon, respectively. Even more amazing, the planets are inhabited! On October 1, 2065, the planets all line up, and the residents of planet B decide to measure the precise distances of closest approach to their neighbors A and C. They expect these distances to be the same, but this is not what they find. Describe what they find instead, and explain the reason for the discrepancy.

Amachinist turns the power on to a grinding wheel, at rest, at time t = 0 s. the wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 96 rad/s. the wheel is run at that angular velocity for 40 s and then power is shut off. the wheel slows down uniformly at 1.5 rad/s2 until the wheel stops. in this situation, the time interval of deceleration is closest to:

Ais a machine that makes work easier when a single force is applied. a simple machine b compound machine c endangered machine d complex machine

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}.