A 1.5-kg mass has an acceleration of (4.0 î - ĵ )m/s².Only two forces act on the mass.If one of the forces is (2.0 î - 1.4 ĵ )N,what is the magnitude of the other force? A)4.1 N B)6.1 N C)5.1 N D)7.1 N E)2.4 N

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Quizplus · Accepted Answer

The net force on the mass is given by F = ma = 1.5 kg * (4.0 î - ĵ) m/s² = (6.0 î - 1.5 ĵ) N. The other force is the net force minus the given force: (6.0 î - 1.5 ĵ) N - (2.0 î - 1.4 ĵ) N = (4.0 î - 0.1 ĵ) N. The magnitude of this force is √(4.0² + (-0.1)²) = √(16.01) ≈ 4.0 N.

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