Please solve everything in details.

With what initial speed must an object be projected vertically upward from the surface of Earth to rise to a maximum height equal to Earth's radius? (Neglect air resistance.) Apply energy conservation. A region between two charged parallel plates has a constant electric eld of 2500NIC {down}. A speck of dust with a mass of 5.0 x 10'4 kg and a -5.UC charge on it is placed in the field and let go. a) What direction does the dust speck go? b) What is the speed of the spec after traveling 13cm? Two billiard balls of mass 150g are each given a +45uC charge and then fired at each other from a distance of 1.0m. They are both given an initial speed of 12.0ml's. How close will they get to each other? Consider a geosynchronous satellite with an orbital period of 24 h. (a) What is the satellite's speed in orbit? (b) What speed must the satellite reach during launch to attain the geosynchronous orbit? (Assume all fuel is burned in a short period. Neglect air resistance.) How does the escape energy of a 1500kg rocket compare to that of a SODkg rocket, both initially at rest on Earth? A space vehicle. launched as a lunar probe, arrives above most of Earth's atmosphere. At this point. Its kinetic energy is 5.0 X 109 J and its gravitational potential energy is 6.4 x 109J. What is its binding energy? A 5.00 X 102kg satellite is in circular orbit 2.00 X 102 km above Earth's surface. Calculate (a) the gravitational potential energy of the satellite (b) the kinetic energy of the satellite (c) the binding energy of the satellite (d) the percentage increase in launching energy required for the satellite to escape from Earth 4. Calculate the magnitude of the magnetic field at a point midway between two long, parallel wires that are 1.0 m apart and have Currents of 10.0 A and 20.0 A respectively. if the currents are (a) in opposite directions and (b) in the same direction