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Kaylis [27]
3 years ago
11

Freshly picked cucumbers are dropped into a bin from a height of 1.25 m above the bottom of the bin. Assuming that the bin is em

pty, how fast is a cucumber going when it hits the bottom of the bin? How much time does it take the cucumber to fall to the bottom of the bin?
Physics
1 answer:
postnew [5]3 years ago
8 0

Answer:

a) Vf = 4.95 m/s

b) t = 0.51s

Explanation:

take downwards as positive.

let Vf be the final velocity as the cucumber reach the bottom of the bin and Vi be the initial velocity of the cucumber when they dropped.

a ) from equations of motion:

(Vf)^2 = (vi)^2 +2g×(x - x0) ,

<em>since x0 = 0 m and Vi = 0 m/s.</em>

Vf = \sqrt{2g×(x)}  = \sqrt{2(9.8)×(1.25)} = 4.95 m/s, downwards

therefore, the cucumber will reach the bottom of the bin with a speed of 4.95 m/s.

b) from equations of motion:

Vf = Vi + g×t

Vi = 0 then:

t = Vf/g = 4.95/9.8 = 0.51 s

therefore, the cucumber will take 0.51 seconds to reach the bottom of the bin.

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Which wave causes the medium to vibrate only in a direction not parallel to the waves motion?
Paha777 [63]

The correct answer to the question is : Transverse wave.

EXPLANATION :

Before going to answer this question, first we have to understand the longitudinal and transverse wave.

LONGITUDINAL WAVE : A longitudinal wave is a mechanical wave in which the direction of vibration of particles is parallel to the direction of wave propagation. It moves in the form of compression and rarefaction.

For instance, sound wave.

TRANSVERSE WAVE : A transverse wave is a mechanical wave in which the direction of vibration of particles is perpendicular to the direction of wave propagation. It moves in the form of crests and troughs.

For instance, the wave created in a pond when a stone is dropped into it.

Hence, the correct answer of this question is transverse wave.

4 0
3 years ago
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MamaMia's Pizza purchases its pizza delivery boxes from a printing supplier. MamaMia's delivers on-average 200 pizzas each month
Ira Lisetskai [31]

Answer:

a) 138 units

b) 17 units

c) 17 units

d) Total Cost = $353.35

Explanation:

Given:

Average pizzas delivered = 200

Charge of inventory holding = 30% of cost

Lead time = 7 days

Now,

a) Economic Order Quantity =  \sqrt\frac{2\times\textup{Annual Demand}\times\textup{Cost per Order}}{\textup{Carrying cost}}

also,

Annual Demand = 200 × 12 = 2400

Cost per Order = Cost of Box + Processing Costs

= 30 cents + $10

= $10.30

and, Carrying Cost = \frac{\textup{Total Inventory Cost}}{\textup{total annual demand}}

=\frac{\textup{Total Cost per order}\times\textup{Annual demand}\times\frac{25}{100}}{\textup{Annual demand}}

= \frac{\$10.30\times2400}\times\frac{25}{100}}{2400}

= $2.575

Therefore,

Economic Order Quantity =  \sqrt\frac{2\times\textup{2400}\times\textup{10.30}}{\textup{2.575}}

= 138.56 ≈ 138 units

b) Reorder Point

= (average daily unit sales × the lead time in days) + safety stock

= (\frac{200}{30}\times7

= 46.67 ≈ 47 units

c) Number of orders per year = \frac{\textup{Annual Demand}}{\textup{Economic order quantity}}

= \frac{\textup{2400}}{\textup{138}}

= 17.39 ≈ 17 units

d) Total Annual Cost (Total Inventory Cost)

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Now,

The ordering Cost = Cost per Order × Total Number of orders per year

= $10.30 × 17

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and,

Holding Cost = Average Inventory Held × Carrying Cost per unit

Average Inventory Held = \frac{\textup{0+138}}{\textup{2}} =  69

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Holding Cost = 69 × $2.575 =  

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Total Cost = Ordering Cost + carrying cost

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