Kinetic and Static Friction

AP Physics 1· difficulty 4/5

A 5 kg block sliding at 8 m/s on a horizontal surface comes to rest in 4 m. The coefficient of kinetic friction is approximately

  • A

    0.820.82

    check_circle
  • B

    1.01.0

  • C

    0.100.10

  • D

    0.500.50

Explanation

Work-energy: μkmgd=(1/2)mv2μk=v2/(2gd)=64/(29.84)0.816\mu_k mg\cdot d = (1/2)mv^2 \Rightarrow \mu_k = v^2/(2gd) = 64/(2\cdot 9.8\cdot 4) \approx 0.816.

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