Neco Model Questions Vol1 2017 Physics Question 27

Practice objective / multiple choice question 27 from the 2017 Neco Model Questions Vol1 Physics examination.

Neco Model Questions Vol1 2017 Physics Objective / Multiple Choice Medium Difficulty
Question 27 NECO_MODEL_QUESTIONS_VOL1 • 2017 • PHYSICS • objective

A block of mass \(m\) slides down a rough inclined plane of length \(L\) that makes an angle \(\theta\) with the horizontal. The coefficient of kinetic friction between the block and the plane is \(\mu_k\). The block starts from rest at the top. (a) Determine the speed of the block at the bottom of the incline. (b) Find the average power exerted by the friction force during the descent. Express your answers in terms of \(m, g, L, \theta,\) and \(\mu_k\).

Answer Options

A. (a) \(v=\frac{1}{2}\sqrt{2gL(\sin\theta-\mu_k\cos\theta)}\); (b) \(P_{avg}= -\frac{\mu_k mg\cos\theta\, gL(\sin\theta-\mu_k\cos\theta)}{2}\)
Correct Answer B. (a) \(v=\sqrt{2gL(\sin\theta-\mu_k\cos\theta)}\); (b) \(P_{avg}= -\mu_k mg\cos\theta\sqrt{\dfrac{gL(\sin\theta-\mu_k\cos\theta)}{2}}\)
C. (a) \(v=\sqrt{gL(2\sin\theta-\mu_k\cos\theta)}\); (b) \(P_{avg}= -\mu_k mg\sin\theta\sqrt{\dfrac{gL(\cos\theta-\mu_k\sin\theta)}{2}}\)
D. (a) \(v=\sqrt{2gL(\sin\theta+\mu_k\cos\theta)}\); (b) \(P_{avg}= -\mu_k mg\cos\theta\sqrt{\dfrac{gL(\sin\theta-\mu_k\cos\theta)}{2}}\)
Correct Answer
B
Correct Option:
(a) \(v=\sqrt{2gL(\sin\theta-\mu_k\cos\theta)}\); (b) \(P_{avg}= -\mu_k mg\cos\theta\sqrt{\dfrac{gL(\sin\theta-\mu_k\cos\theta)}{2}}\)

About This Question

This is Neco Model Questions Vol1 2017 Physics Question 27. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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