12) A satellite remains at the same position above the earth's surface at all times. At approximately what height above the surface must it be, assuming the orbit is circular? Hint: Use the period of the satellite's orbit and Kepler's third law of planetary motion. Use G = 6.67 x 10-11, and assume the mass of Earth is 5.98 x 1024 kg and its radius is 6.38 x 106 meters.

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)

Steelhead trout migrate up stream to spawn.occasionally they need to leap up small waterfalls to continue their journey. fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. a. what is the maximum height a steelhead trout can jump? b.leaving the water at 8.0 m/s, the trout lands on top of the water fall 1.8 m high. how long was it in the air?

How many neutrons does element x if it’s atomic number is 28 and its mass number is 87