A Mass M₁ Is Connected by a Light String That

question 60

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 incline 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 1/2 MR².If m₁ is 2.00 kg,m₂ is 1.00 kg,M is 4.00 kg,and the angle is 60.0 degrees,then what is the acceleration of m₁?

• A) 3.98 m/s² down
• B) 3.27 m/s² down
• C) 3.15 m/s² down
• D) 2.94 m/s² down
• E) 1.64 m/s² down

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Definitions:

Population Experience

The collective experiences, events, and conditions that affect a specific population group over time.

Growth

The process by which living organisms increase in size, number of cells, and/or complexity, often through cell division and differentiation.

Years

Units of time equal to 365 days or 366 days in a leap year, used in the measurement of the duration of events or intervals between them.

Carrying Capacity

The maximum number of individuals of a species that an environment can support sustainably without degrading.