Newton's Second Law (Translational Dynamics)

AP Physics 1· difficulty 4/5

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Two blocks (m1=3.0 kgm_1 = 3.0\text{ kg} and m2=5.0 kgm_2 = 5.0\text{ kg}) are connected by a string and released on a frictionless incline at θ=30°\theta = 30°. What is their common acceleration down the incline? Use g=9.8 m/s2g = 9.8\text{ m/s}^2.

  • A

    3.27 m/s²

  • B

    4.9 m/s²

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  • C

    6.37 m/s²

  • D

    9.8 m/s²

Explanation

On a frictionless incline, internal tension cancels and a=gsinθ=9.8×0.5=4.9 m/s2a = g \sin\theta = 9.8 \times 0.5 = 4.9\text{ m/s}^2 for both blocks.

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