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viktelen [127]
3 years ago
9

A bucket of water is swung in a circle in a vertical plane. The radius of the circle is 0.85 m. What is the minimum speed that w

ill just prevent the water from falling out of the bucket when it is upside down (i.e., at the top of the circle)
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:2.88 m/s

Step-by-step explanation:

Given

radius of circle r=0.85 m

At highest Point weight will Provide the centripetal Force

thus

weight=mg

Centripetal\ Force=\frac{mv^2}{r}

where m is the mass of water in bucket

mg=\frac{mv^2}{r}

v=\sqrt{gr}

v=\sqrt{9.8\times 0.85}

v=2.88 m/s

You might be interested in
How is the answer 24? Please NEED TO KNOW ❤️ :(
allsm [11]

(n+2)^4 =

(n²+4n+4)(n²+4n+4) =

n^4 + 4n³ + 4n² + 4n³ + 16n² + 16n + 4n² + 16n + 16 =

n^4 + 4n³+24n²+ 4n + 16


Hope this helps

8 0
3 years ago
in the game of hearts, four players are each dealt 13 cards from a deck of 52. is this a function? if so, what are the domain an
skelet666 [1.2K]

Based on the fact the game of hearts, four players are each dealt 13 cards from a deck of 52

  • The domain is the deck of 52 cards
  • codomain is 4 players
  • function, f(k) maps a card to each player
  • It is surjective

This is further explained below.

<h3>What is a surjective Function?</h3>

A surjective function is a kind of function that exists in mathematics that ensures that any element y may be transferred to element x in such a way that f(x) equals y.

To put it another way, each element that makes up the function's codomain is the mirror image of at least one element that makes up the domain.

Generally, function, f(k) maps a card to each player

And since each player is dealt 13 cards st 13 of the cards are mapped to each player.

It is a function as one card is mapped to one and only one player.

The function is not injective because 13 cards 1 are mapped to one player so it is a many-one function but the injective function does not map two elements to a common clement.

In conclusion, It is surjective as each player is dealt 13 cards. the function is not injective hence rot bijective.

Read more about surjective

brainly.com/question/13423972

#SPJ1

5 0
11 months ago
Which of the given values is a solution to the equation −11=5t−9
padilas [110]
-11+9= 5t
-2=5t (divide both sides by 5)
t= -2/5

(Mark me the brainliest if this has helped )
6 0
2 years ago
Read 2 more answers
The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.
Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b²  [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

#SPJ4

5 0
1 year ago
At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick
DiKsa [7]
To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)
7 0
3 years ago
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