The acceleration due to gravity at sea level is g=9.81 m/s^2. the radius of the earth is 6370 km. the universal gravitational constant is g = 6.67 × 10−11 n-m^2/kg^2. use this information to determine the mass of the earth.

An electric kettle is made out of stainless steel, weighs two pounds (when empty) and is equipped with a heating element that consumes 2 kw of electricity. assuming that the water and the kettle are at the same uniform temperature at any moment of time, calculate the shortest possible time to bring 2 quarts of water from room temperature to the onset of boiling