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enyata [817]
3 years ago
9

A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He do

ubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.
Mathematics
2 answers:
NNADVOKAT [17]3 years ago
8 0

Answer:

80 kg, 160 j

Step-by-step explanation:

Ira Lisetskai [31]3 years ago
6 0

Answer:

His kinetic energy at the faster speed is 160 J

Step-by-step explanation:

Here in this question, we are interested in calculating the kinetic energy at the faster speed.

Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;

Mathematically;

K.E = 1/2 * m * v^2

From the question;

K.E = 40 Joules

m = ?

v = speed = 2 m/s

Now, plugging these values into the kinetic energy equation, we have;

40 = 1/2 * m * 2^2

40 = 1/2 * m * 4

40 = 4m/2

4m = 40 * 2

4m = 80

m = 80/4

m = 20 kg

Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E

Let’s follow the third statement in the question;

We were told that he doubles his speed upon sighting his friend.

Recall, he was traveling at a speed of 2 m/s.

Now doubling this means the new speed will

be 2 * 2 = 4 m/s

Now, we want to calculate the kinetic energy value at this new speed.

Mathematically, we use the same formula for kinetic energy.

K.E = 1/2 * m * v^2

We know that m is the mass that we calculated as 20kg and our v here is 4 m/s

Plugging these values, we have;

K.E = 1/2 * 20 * 4^2

K.E = (20 * 16)/2

K.E = 320/2

K.E = 160 J

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3 0
2 years ago
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joja [24]
3x+3=192 is the equation
To solve the equation, you would subtract 3 from both sides, 3-3 cancels out, so 192-3= 189. Then, you are left with 3x=189 so you divide both sides by 3, 3x divided by 3 cancels out, so you do 189 divided by 3 which is 63.
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Equation: 3x+3=192
8 0
3 years ago
Please Help! i need explanations too. Thank you
Lady bird [3.3K]

Answer:

Step-by-step explanation:

The most important thing to remember when solving equations is whatever you do to one side, you must do to the other.

1. (15m + 3)/2 = -6

First, we can simplify by removing the fraction:

15m + 3 = -6 x 2 (multiply both sides by 2)

15m + 3 = -12

15m = -12 - 3 (subtract by 3 on both sides)

15m = -15

m = -15/15 (divide by 15 on both sides)

m = -1

2. 3/2x -15 = -12

first, we'll add both sides by 15

2/3x = -12 + 15

2/3x = 3

x = 3/(2/3) both sides divided by 2/3, just put that in your calculator, if you can't do it in your head

x = 4 1/2

3. -7x + 3 = -15/2

We can remove the fraction by doing the same thing as in the first question.

2(-7x + 3) = -15

-14x + 6 = -15

14x = -15 -6

14x = -21

x = -21/14

x = -1 1/2

4. 4x + 1/2(12x + 2) = 3

First we need to simplify by expanding:

4x + 6x + 1 = 3

Now we collect the like terms to further simplify the equation

10x + 1 = 3

10x = 3 - 1

10x = 2

x = 2/10

x = 1/5

5. 3/2(x + 8) = 6x

We're going to start by removing the brackets, this time by multiplying the fraction on both sides:

x + 8 = 6x / (3/2)

x + 8 = 4

x = 4 - 8

x = -4

Now the questions, some of them are personal, so I won't be able to answer them for you, but I can try with the others:

These types of problems are fractional equations, and you need to find the value of the variable, which in this case was x.

I'm not sure what information you already know, so you'll have to think on that one.

Strategies you could use or try include multiplying, dividing, subtracting and adding on both sides as well as collecting like terms and expanding.

Hope this helped,

Cate

5 0
3 years ago
I hope everyone has a wonderful blessed day!!!!
postnew [5]

Answer:

Thanks

Step-by-step explanation:

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3 years ago
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Answer: 50m

Step-by-step explanation:

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