Question

Two Masses, a Pulley, and an Inclined Plane. . Block 1, of mass m1 = 0.700kg , is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. For an angle of θ = 30.0∘ and a coefficient of kinetic friction between block 2 and the plane of μ = 0.200, an acceleration of magnitude a = 0.200m/s2 is observed for block 2.. . find the mass of block 2, m2:

Answer 1

The answer to this is 1 kg.
You use this equation:
m2 = m1 (g - a) / [a + g u cos θ + g sin θ]

You plug in the given values:
m2 = 0.7 (9.81 - 0.2) / [0.2 + 9.81(0.20) cos 30 + 9.81 sin 30)

The result is
m2 = 1 kg