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IceJOKER [234]
2 years ago
12

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on

a certain object, the acceleration of the object is 5 /ms2 . If the acceleration of the object becomes 6 /ms2 , what is the force
Mathematics
1 answer:
Step2247 [10]2 years ago
5 0

Answer:

The force is 12 N

Step-by-step explanation:

* Lets explain how to solve the problem

- Direct variation is a relationship between two variables that can

 be expressed by an equation in which one variable is equal to a

 constant times the other

- If y ∝ x , then y = kx , where k is the constant of variation

* Lets solve the problem

- The force acting on the object varies directly with the object's

  acceleration

∵ The force is F in newtons and a is the acceleration is m/s²

∴ F ∝ a

∴ F = ka

- To find k substitute F and a by the initial values of them

∵ A force of 10 N acts on a certain object, the acceleration of the

  object is 5 m/s²

∵ F = 10 N when a = 5 m/s²

∵ F = ka

∴ 10 = k(5)

- Divide both sides by 5

∴ K = 2

- Substitute the value of k in the equation

∴ F = 2a

- Lets find the force when the acceleration is 6 m/s²

∵ a = 6 m/s²

∴ F = 2(6) = 12

* The force is 12 N

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Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

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2 years ago
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Answer:

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Step-by-step explanation:

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Hope this helps

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3 years ago
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3 years ago
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4 0
2 years ago
Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.
Setler [38]
The answer is <span>A)(13, 8).

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</span>Distance D to A : Distance I to F = 6 : 3<span>
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Among all choices, we see that the y point of another corner is 8, so we need to find x point.

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4 0
2 years ago
Read 2 more answers
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