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Nitella [24]
4 years ago
5

A 20-kg wagon accelerates on a horizontal surface at 0.50 m⁄s2 when pulled by a rope exerting a 120-N force on the wagon at an a

ngle of 25° above the horizontal. Determine the magnitude of the effective friction force exerted on the wagon and the effective coefficient of friction associated with this force.

Physics
1 answer:
inn [45]4 years ago
5 0

Answer:

Explanation:

given,

mass of wagon = 20 Kg

horizontal acceleration = 0.5 m/s²

force of pull = 120 N

angle with horizontal = 25°

Applying newtons second law

F cos θ - f = m a

f = F cos θ- ma

f = 120 cos 25° - 20 x 0.5

f = 99 N

we know,

f = μ N

μ =\dfrac{f}{N}

μ =\dfrac{99}{mg - Fsin \theta}

μ =\dfrac{99}{20\times 9.8 - 120 sin 25^0}

μ = 0.68

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For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
NeX [460]

(1) The critical angles for the fused quartz is 44⁰,

(2) The critical angles for the polystyrene is 39⁰.

(3) The critical angles for the sodium chloride is 41⁰.

<h3>What is Critical angles?</h3>

In optics, the critical angle is the topmost angle at which a shaft of light traveling in one transparent medium can strike the boundary between that medium and another with a lower refractive indicator without being fully reflected within the first

Critical angles for the different medium.

θ=sin^{-1}\frac{n_{2} }{n_{1} }

where;

n_{2} is the refractive index of air = 1

n_{1} is the refractive index of the given substances.

Refractive index of quartz glass = 1.46

Refractive index of polystyrene = 1.59

Refractive index of sodium chloride = 1.54

Critical angles for quartz glass:

$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.46}\\$

$\theta_{\text {crit }}=44^{o}$

Critical angles for polystyrene

$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.59}\\\\

\theta_{\text {crit }}=39^{\circ}

Critical angles for Sodium Chloride

$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.54}\\

\theta_{\text {crit }}=41^{o}

Thus, the critical angles for the quartz glass is 44⁰, the critical angles for the polystyrene is 39 ⁰ and the critical angles for the sodium chloride is 41⁰.

To know more about critical angle visit:
brainly.com/question/3314727

#SPJ4

I understand that the question you are looking for is:

"For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.

(a) Fused Quartz

(b) Polystyrene

(c) Sodium chloride"

8 0
2 years ago
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