Pluto orbits the sun at an average distance of 5.91 × 10^12 meters. pluto’s diameter is 2.30 × 10^6
meters and its mass is 1.31 × 10^22 kilograms.
charon orbits pluto with their centers separated by a distance of 1.96 × 10^7 meters. charon has
a diameter of 1.21 × 10^6 meters and a mass of 1.55 × 10^21 kilograms.
calculate the magnitude of the gravitational force of attraction that pluto exerts on charon. [show all
work, including the equation and substitution with units.]

Atotal charge of –6.50 µc is uniformly distributed within a sphere that has a radius of 0.150 m. what is the magnitude and direction of the electric field at 0.300 m from the surface of the sphere? a) 2.89 × 105 n/c, radially inward b) 6.49 × 105 n/c, radially outward c) 4.69 × 105 n/c, radially inward d) 9.38 × 105 n/c, radially outward e) 1.30 × 106 n/c, radially inward

Write the function getkthdigit(n, k) that takes a possibly-negative int n and a non-negative int k, and returns the kth digit of n, starting from 0, counting from the right

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)