A Mass M₁ Is Connected by a Light String That

Multiple Choice

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ sliding on a frictionless horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR². If m₁ is 1.00 kg, m₂ is 2.00 kg, and M is 4.00 kg, then what is the downward acceleration of m₁?

A) 1.55 m/s²
B) 1.96 m/s²
C) 2.06 m/s²
D) 2.33 m/s²
E) 2.72 m/s²