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castortr0y [4]
3 years ago
7

Cody ate 170.10 grams of chicken for dinner. His sister ate 170.1 grams of chicken. Which statement is true? A. Cody and his sis

ter ate an equal amount of chicken for dinner. B. Cody ate more chicken than his sister did. C. Cody ate less chicken than his sister did.
Mathematics
2 answers:
8090 [49]3 years ago
7 0
A. They both ate the same because 170.10 is equal to 170.1
Mama L [17]3 years ago
7 0
170.10 = 170.1

A. Cody and his sister ate an equal amount of chicken for dinner.
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Answer:

μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

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Step-by-step explanation:

a) We apply The work-energy theorem

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<em>Distance 1:</em>

- Ff*d₁ = Ef - Ei

⇒  - (μ*m*g*Cos θ)*d₁ = (Kf+Uf) - (Ki+Ui) = (Kf+0) - (0+Ui) = Kf - Ui

Kf = 0.5*m*vf² = 0.5*m*v²

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then

- (μ*m*g*Cos θ)*d₁ = 0.5*m*v² - m*g*d₁*Sin θ  

⇒   - μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ   <em>(I)</em>

 

<em>Distance 2:</em>

<em />

- Ff*d₂ = Ef - Ei

⇒  - (μ*m*g)*d₂ = (0+0) - (Ki+0) = - Ki

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then

- (μ*m*g)*d₂ = - 0.5*m*v²

⇒   μ*g*d₂ = 0.5*v²     <em>(II)</em>

<em />

<em>If we apply (I) + (II)</em>

- μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ

μ*g*d₂ = 0.5*v²

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Applying the equation (for the distance 1) we get v:

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then (from the equation <em>III</em>) we get

μ*g (d₂ - Cos θ*d₁) = 2*g*Sin θ*d₁ - g*d₁*Sin θ

⇒  μ (d₂ - Cos θ*d₁) = Sin θ * d₁

⇒   μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

b)

If μ is a known value

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We apply The work-energy theorem again

W = ΔK   ⇒   - Ff*d₂ = Kf - Ki

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Finally

- μ*m*g*d₂ = 0 - m*g*Sin θ*d₁   ⇒   d₂ = Sin θ*d₁ / μ

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