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IceJOKER [234]
3 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]3 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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viktelen [127]

Answer:

yes

Step-by-step explanation:

$25*8%

25*0.08=2

25+2=27

5 0
3 years ago
Read 2 more answers
if the following line segment is reflected across the x-axis what are the coordinates new endpoints A.) (-1,-6) and (-3,-2) B.)
Tasya [4]

Answer:

A.) (-1,-6) and (-3,-2)

Step-by-step explanation:

The given line segment has coordinates

(-1,6) and (-3,2)

The mapping for a reflection in the x-axis is

(x,y)\to (x,-y)

This implies that;

(-1,6)\to (-1,-6)

and

(-3,2)\to (-3,-2)

The correct choice is A.

7 0
3 years ago
Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.
alukav5142 [94]

Answer: a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = \dfrac{390}{434}\times \dfrac{391}{435}=0.8077

Expected value would be

0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19

b)  If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

588\times -0.19\\\\=-\$111.72

Hence, a) -$0.19, b) -$111.72

8 0
3 years ago
Please its really urgent, step by step working out
Karo-lina-s [1.5K]

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

8 0
2 years ago
What is 0.111 repeating as a fraction
Liono4ka [1.6K]
Answer: 1/9

Explanation: these types of repeating decimals are equivalent to the fraction that has the number doing the repeating in its numerator and the number 9 in its denominator.

Hope this helps!
7 0
2 years ago
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