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3 years ago

If forces are unbalanced, what will happen to the object (horse)?

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Answer:

Newton's 2nd Law says that an object accelerates if there is a net (unbalanced) force on it. Looking at the wagon in the diagram above, you can see that there is just one force exerted on the wagon - the force that the horse exerts on it. The wagon accelerates because the horse pulls on it!

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Assume your faucet drips at the rate of 3 drops per minute. Further assume that 20 drops is equal to 1 ml. How many drops will i

77julia77 [94]

3 drops per minute
20 drops = 1 ml

How many minutes are there in a day?
60*24 = 1,440 minutes

1,440*3 = 4320 drops

How many milliliters?
4320/20 = 216 ml

5 0

3 years ago

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value.

Feel free to check my math! I kinda did this off the top of my head.

8 0

3 years ago

Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona

andrey2020 [161]

Answer:

a. v.v' = v₁v₂ - v₁v₂ = 0 b. (20, -21)/29 and (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' = (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

= v₁v₂ - v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

8 0

2 years ago

Cara and John collect baseball cards.Cara has 12 times as many baseball cards as John.Together they have 117 cards.How many card

enyata [817]

Answer:

Cara:108

Step-by-step explanation:

John: x number of cards

Cara: 12 times x number of cards(she has 12 times more cards than John)

Cara+John=117 cards

$12 \times x + x = 117 \\ 13x = 117 \\ x = \frac{117}{13} \\ x = 9$

Cara has 12×9 cards, so she has 108 cards.

Hope this was helpful :)

5 0

3 years ago

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Two friends, Ellie and Easton, took summer jobs. The equation y = 19.2x represents Ellie's earnings in dollars and cents, y, for

skad [1K]

Answer:

I don't know what's I don't know I'm really sorry very very very very very very very very very very very very sorry very sorry

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3 years ago