A Mass M = 4

question 19

Multiple Choice

A mass m = 4.0 kg is connected, as shown, by a light cord to a mass M = 6.0 kg, which slides on a smooth horizontal surface. The pulley rotates about a frictionless axle and has a radius R = 0.12 m and a rotatinal inertia I = 0.090 kg⋅m². The cord does not slip on the pulley. What is the magnitude of the acceleration of m? ​ ​

• A)​2.4 m/s²
• B)​2.8 m/s²
• C)​3.2 m/s²
• D)​4.2 m/s²
• E)​1.7 m/s²

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Definitions:

Foreign Particles

Unfamiliar substances or materials present in an organism or environment that can be inorganic or organic, potentially triggering an immune response.

Osmotic Pressure

The pressure required to prevent the flow of a solvent into a solution through a semipermeable membrane, driven by differences in solute concentration.

Selectively Permeable Membrane

A barrier that allows certain molecules or ions to pass through it by diffusion and occasionally specialized processes.

Osmosis

The movement of water molecules through a semipermeable membrane from a region of lower solute concentration to a region of higher solute concentration to equalize the concentrations on both sides of the membrane.