Awoman pushes a 27 kg lawnmower at a steady speed. she exerts a 180 n force in adirection 31 degrees below the horizontal. the acceleration of gravity is 9.8 m/^2find the magnitude of the vertical force this lawnmower exerts on the lawn. answer in units of n.

Two loudspeakers, 5.5 m apart and facing each other, play identical sounds of the same frequency. you stand halfway between them, where there is a maximum of sound intensity. moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.33 m . assume the speed of sound is 340 m/s.part a) what is the frequency of the sound? part b) if the frequency is then increased while you remain 0.21 m from the center, what is the first frequency for which that location will be a maximum of sound intensity? express your answer to two significant figures and include the appropriate units.