Question #177446

A stone tablet of 6 kg on a 30° incline is held by a force of 5 N up and parallel to the incline. If the coefficient of kinetic friction between block and incline is 0.1


Solve for the tablet's acceleration.

Draw a representative figure.


1
Expert's answer
2021-04-05T11:12:20-0400

Let's apply the Newton's Second Law of Motion:


FpmgsinθFfr=ma,F_p-mgsin\theta-F_{fr}=ma,Fpmgsinθμkmgcosθ=ma,F_p-mgsin\theta-\mu_kmgcos\theta=ma,a=Fpmg(μkcosθ+sinθ)m,a=\dfrac{F_p-mg(\mu_kcos\theta+sin\theta)}{m},a=5 N6 kg9.8 ms2(0.1cos30+sin30)6 kg,a=\dfrac{5\ N-6\ kg\cdot9.8\ \dfrac{m}{s^2}\cdot(0.1\cdot cos30^{\circ}+sin30^{\circ})}{6\ kg},a=4.91 ms2.a=-4.91\ \dfrac{m}{s^2}.

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