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Forces and Free-Body Diagrams

AP Physics 1· difficulty 2/5

Two forces act on a 4 kg4~\text{kg} object: 6 N6~\text{N} east and 8 N8~\text{N} north. What is the magnitude of the object's acceleration?

  • A

    5.0 m/s25.0~\text{m/s}^2

  • B

    0.5 m/s20.5~\text{m/s}^2

  • C

    2.5 m/s22.5~\text{m/s}^2

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  • D

    3.5 m/s23.5~\text{m/s}^2

Explanation

Net force ∣F⃗∣=62+82=10 N|\vec F| = \sqrt{6^2 + 8^2} = 10~\text{N}. a=F/m=10/4=2.5 m/s2a = F/m = 10/4 = 2.5~\text{m/s}^2.

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