Newton's Second Law (Translational Dynamics)

AP Physics 1· difficulty 4/5

For the same Atwood (3.0 and 5.0 kg, a=2.5a = 2.5 m/s²), the tension in the cord is

  • A

    50 N

  • B

    20 N

  • C

    37.5 N (T=m1(g+a)T = m_1(g + a))

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  • D

    30 N

Explanation

Apply Newton's 2nd law to the lighter mass: Tm1g=m1aT - m_1 g = m_1 a, so T=m1(g+a)=3(10+2.5)=37.5T = m_1(g + a) = 3(10 + 2.5) = 37.5 N. Check with m2m_2: m2gT=m2am_2 g - T = m_2 a, so T=m2(ga)=5(7.5)=37.5T = m_2(g - a) = 5(7.5) = 37.5 N. ✓

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