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A block of mass 5 kg on a rough incline at 37° with μ_k = 0.4. Acceleration down (g = 10, sin 37° = 0.6, cos 37° = 0.8):
A2 m/s²
B2.8 m/s²
C4 m/s²
D6 m/s²
Answer & Solution
Correct answer: B. 2.8 m/s²
Net force down: F = mg sin θ - μ_k mg cos θ = mg(sin θ - μ_k cos θ) = 5 × 10 × (0.6 - 0.4 × 0.8) = 50 × (0.6 - 0.32) = 50 × 0.28 = 14 N. a = F/m = 14/5 = 2.8 m/s².
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