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riadik2000 [5.3K]
3 years ago
10

Erin collides her 940-kg Mazda Miata into the rear of a 2460-kg pick-up truck which was at rest at the light on Lake Avenue. The

Mazda pre-collision speed was 12.5 m/s. Determine the post-collision speed of the two entangled cars as they slide across the ice.
Business
1 answer:
BigorU [14]3 years ago
4 0

Answer:

3.46 m/s

Explanation:

This is actually a Physics question and not a Business question.

According to the property of conservation of momentum, the speed of the Mazda before the collision multiplied by the mass of the Mazda must equal the speed after the collision multiplied by the mass of both cars:

m_1v_1=(m_1+m_2)*v_2\\940*12.5=(940+2460)*v_2\\v_2= 3.46\ m/s

The post-collision speed of the two entangled cars is 3.46 m/s.

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What is the term given to mortgage loan costs such as pest inspections, survey fees, and title insurance?
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Services the borrower did shop for, that the buyer may find on his own.

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produces decorative mailboxes. The​ company's average cost per unit is $ 23.43 when it produces 1 comma 400 mailboxes. Requireme
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1) The total cost of production (TC) is $32,802.

2) The variable cost per unit is $9/unit.

3) Cost equation: TC(Q)=20,200+9Q

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The appropiate approach is using the cost function, because its differentiates the cost that are fixed and not dependant of the volume of production, and the variable cost, that are proportional to the quantity produced.

Explanation:

1) The total cost of production can be calculated as the product of the cost per unit ($23.43/unit) and the total ammount of units (1,400 units):

TC=c*Q=23.43*1,400=32,802

The total cost of production (TC) is $32,802.

2) The fixed cost (FC) are $20,202, so the variable cost are:

VC=TC-FC=32,802-20,202=12,600

This is the variable cost for 1,400 mailboxes, so the unit variable cost is:

vc=VC/Q=12,600/1,400=9

The variable cost per unit is $9/unit.

3) The equation of cost can be written as:

TC(Q)=20,200+9Q

4) If it uses the average cost tot predict the cost of 1,500 mailboxes, he will get:

TC=23.43*1,500=35,145

5) If he uses the cost function, he will get

TC=20,202+9*1500=20,202+13,500=33,702

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TC_4-TC_5=35,145-33,702=1,443

The appropiate approach is using the cost function, because its differentiates the cost that are fixed and not dependant of the volume of production, and the variable cost, that are proportional to the quantity produced.

The average cost per unit is not constant for every quantity and the error will increase if the quantity is much different from 1,300 units.

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