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SOVA2 [1]
3 years ago
15

Starting at ttt_1 = 0 ss , a horizontal net force F⃗ =(F→=( 0.265 N/sN/s )ti^+)ti^+(-0.460 N/s2N/s2 )t2j^)t2j^ is applied to a b

ox that has an initial momentum p⃗ =p→= (( -3.00 kg⋅m/skg⋅m/s )i^+()i^+( 4.05 kg⋅m/skg⋅m/s )j^)j^ .
Business
1 answer:
hram777 [196]3 years ago
6 0

Answer:

The momentum of the box at t = 2 s is given as

p₂ = (-2.47î + 2.82ĵ) kgm/s

Explanation:

F = [(0.265 N/s)t] î + [(-0.460 N/s²)t²] ĵ

F = (0.265t) î - (0.460t²) ĵ

At t = 0

Initial momentum

p₀ = (-3.00 kg⋅m/s )î + (4.05 kg⋅m/s) ĵ

Find the momentum at t = 2 s

According to Newton's second law of motion, the change in momentum is equal to the impulse.

That is,

dp = F.dt

Δp = ∫²₀ F.dt

∫²₀ F.dt = ∫²₀ [(0.265t) î - (0.460t²) ĵ] dt

= [(0.1325t²) î - (0.1533t³) ĵ]²₀

= [0.1325(2²)] î - [0.1533(2³)] ĵ

∫²₀ F.dt= (0.53 î - 1.2267 ĵ) kgm/s

p₂ - p₀ = Δp = ∫²₀ F.dt = (0.53 î - 1.2267 ĵ)

p₂ = p₀ + Δp

p₂ = (-3.00î + 4.05ĵ) + (0.53 î - 1.2267 ĵ)

p₂ = (-2.47î + 2.8233ĵ) kgm/s

p₂ = (-2.47î + 2.82ĵ) kgm/s

Hope this Helps!!!

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2 years ago
Ritchie Manufacturing Company makes a product that it sells for $150 per unit. The company incurs variable manufacturing costs o
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Answer:

<u>Using equation method we have,</u>

Sales - variable cost = Fixed Cost

Let number of units be X, at break even then,

$150 X - ($60 + $18) X = ($480,000 + $240,000)

$150 X - $78 X = $720,000

$72 X = $720,000

<u>X = $720,000/$72 = 10,000 units.</u>

<u>Using contribution income statement</u>

Contribution margin per unit approach = Selling price - Variable cost = Contribution = $150 - $60 - $18 = $72 per unit

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<u></u>

<u>Contribution margin Income Statement:</u>

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Less: Variable Cost

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Selling Expense = $18 \times 10,000 = ($180,000)

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8 0
3 years ago
At a volume of 11,000 units, Pwerson Company incurred $33,000 in factory overhead costs, including $11,000 in fixed costs. If vo
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Answer:

$37,000.00

Explanation:

Total fixed overhead costs = $11,000.00

Variable overhead cost at 11,000 units of production

=Total overheads - Fixed overheads

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Variable cost per unit = \frac{22000}{11000} = $2 per unit

When production increased to 13,000 units then overheads costs will be

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Answer:

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I hope this helps.

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