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Dimas [21]
3 years ago
6

What is the speed (approximately) of a 2.5-kilogram mass after it has fallen freely from rest through a distance of 12 meters?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

15.3 m/s

Step-by-step explanation:1) Find the gravitational potential energy using the equation :

     PE_g=mgh

    PE_g=2.5(12)(9.8)\\PE_g=294

2) Then use the equation for kinetic energy to solve for the velocity:

     KE=\frac{1}{2} mv^{2}

     294=\frac{1}{2}(2.5)(v^2)\\235.2=v^2\\\sqrt{235.2} =v\\15.3 m/s=v

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What Is 3/8+1/8-1/3+1/4
konstantin123 [22]
Solutions 

1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4

</span>⇒ Start Listing Multiples

List out all multiples of each denominator, and find the first common one.

8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24

</span>⇒ By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24

</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6

</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24

</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24

</span>Simplify
<span>10 / 24

</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
4 0
3 years ago
Read 2 more answers
Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00.Which number
trapecia [35]

Given:

Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00

Required:

Amount of change Kate receives back?

Explanation:

We will add each expense

6.99+3.98+7.95=18.92

Now, amount of change Kate receives back is 20.00 - 18.92 = 1.08

Answer:

Hence, amount of change Kate receives back is 1.08

8 0
1 year ago
Given that z20 = –2 and z50= – 1, which of the following do you know?
Klio2033 [76]
Answers: #2, 3, 5, 6 are correct



... believe me, I juss did them.
6 0
3 years ago
Read 2 more answers
An art museum received a collection of 92 African American paintings. The museum can display 40 of the paintings on the first fl
Ierofanga [76]

Answer: About 43% of the paintings are displayed on the first floor.

Step-by-step explanation: For this problem we can use a percent equation to solve for p, the percent of paintings that will be displayed on the first floor.

Lets write the percent equation:

40/92 = p/100  (We basically are finding 40 out of 92 paintings is what percent of the total paintings.

40/92 x 100 = p/100 x 100 (We always multiply both sides by 100 when dealing with percent that are out of a whole, or 100.)

40 x 100 = 4000/92 = ABOUT 43. p/100 x 100 = p.

About 43 = p

So about 43% of the paintings are displayed on the first floor.

4 0
3 years ago
Parallel/Perpendicular/Neither?*
adelina 88 [10]

Answer:

i think it might be A

Step-by-step explanation:

6 0
3 years ago
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