To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.085-kg ball from the end of a wire. The wire has length 1.5 m and a linear density of .00031 kg/m. Using electronic equipment, the astronaut measures the time for a pulse to travel the length of the wire and obtains a value of 0.083s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.