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Irina-Kira [14]
3 years ago
7

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

Step-by-step explanation:

The complete question is

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain

step 1

Find the length side of the cube-shaped case

we know that

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

solve for b

step 2

Convert feet to inches

we have

step 3

Compare the dimensions of the table with the dimensions of the cube-shaped case

30 > 10

The length of the table is greater than the length side of the cube

18> 10

The width of the table is greater than the length side of the cube

therefore

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

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Answer:

The velocity of the car after the collision is -5.36 m/s

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of the car = 1400 kg

m₂ = mass of the truck = 3200 kg

u₁ = velocity of the car before collision = 13.7 m/s

u₂ = velocity of the truck before collision = 0 m/s

v₁ = velocity of the car after collision

v₂ = velocity of the truck after collision

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

   =  [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)

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So, <u>the velocity of the car after the collision is -5.36 m/s</u>

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