As shown below, a 2.00 kg mass is connected to an unknown mass m via a massless rope and a massless, frictionless pulley. The mass m is on a ramp angled 20 degrees above the horizontal. The coefficients of kinetic and static friction are μk=0.35 and μs=0.45, respectively.
If the acceleration of the 2.00 kg block is 1.00 m/s2 downward, find the mass m of the block on the ramp.