A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?

Answers

Answer 1

Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.

Given the following data:

Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kg

To find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:

For a perfectly inelastic collision:

[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]

When the carts stick together and come to rest after the collision, the final velocity is zero (0).

[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]

Initial speed = 12 m/s

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Answer:

3t-12v+24

Step-by-step explanation:

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How can you model geometry figures to solve real-world problems? Complete the explanation to answer the question. You can use drawings to plan rooms or gardens since the (Ratio/Dimension/scale) of the drawing is a (Ratio/Dimension/scale) between 2 sets of measurements. It shows how each (Ratio/Dimension/scale) in a drawing relates to the actual object.

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Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h * r for 20 minutes, and then east at the same pace for 10 minutes. If the swimming pool is at the origin (0, 0) what is the position of the ice cream shop?

Answers

Answer:

(1,2)

Step-by-step explanation:

6 km/h going north for 20 mins would be 1/3 of an hour so 1/3 of 6. This would mean they walked 2 kilometers north. That's your y-coordinate. They walked 6 kilometers an hour going east for 10 mins. 10 mins is 1/6 of an hour and 1 is 1/6 of 6. So 1 is your x-coordinate. You put the numbers in as (x, y).

If the swimming pool is at the origin (0, 0) then the position of the ice cream shop is (1,2) and this can be determined by using the unitary method and also by using the formula of speed.

Given :

Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h for 20 minutes, and then east at the same pace for 10 minutes.

The following steps can be used in order to determine the position of the ice cream shop:

Step 1 - Remember 1 hour is equal to 60 minutes.

Step 2 - If one hour is equal to 60 minutes then in 20 minutes there are:

[tex]\rm \dfrac{20}{60}=\dfrac{1}{3}\;hour[/tex]

Step 3 - If one hour is equal to 60 minutes then in 10 minutes there are:

[tex]\rm \dfrac{10}{60}=\dfrac{1}{6}\;hour[/tex]

Step 4 - Determine the distance travel in the north which gives the y-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{3}=2\;Km[/tex]

Step 5 - Determine the distance travel in the east which gives the x-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{6}=1\;Km[/tex]

So, the position of the ice cream shop is (1,2).

For more information, refer to the link given below:

https://brainly.com/question/12291166

Due to a slump in the economy, a mutual fund has dropped by 30% from last year to this year. If the fund is now worth $12,495, how much was the fund worth last year?

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Answers

Answer:

$17850

Step-by-step explanation:

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Explanation:
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Answer:

Sig Figs

4

0.05199

Decimals

5

0.05199

Scientific Notation

5.199 × 10-2

E-Notation

5.199e-2

Words

zero point zero five one nine nine

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Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]

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Answers

Answer:

30

Step-by-step explanation:

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-----

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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SCREEN SHOT ATTACHED​

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Step-by-step explanation:

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56.6 cm is the answer

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Answers

7-3/14-x



Solution:
7-3/2-x=12

7-3/14-x

The value of x is -(5 + 3√2).

what is  equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7- 3√2-x=12

Now solving

7- 3√2-x=12

Subtract 7 from both side

7- 3√2-x - 7 =12 - 7

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x= -(5 + 3√2)

Hence, the value x is -(5 + 3√2).

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Answer:

Step-by-step explanation:

According to Supplementary Angles rules: two angles add up to 180

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Step-by-step explanation:

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Answer:

X= 32

Step-by-step explanation:

Answer:

X = 32

Step-by-step explanation:

If you do 24 x 4 you will get 96.

From there you have to divide 3 by 96, since 3 times x has to equal to 96. Since 24 x 4 is 96 and you need to divide 3x by 4.

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Hope this helps!

Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
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Answer:

your answer would be C hope it helps

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Answer:

[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]

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