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natka813 [3]
2 years ago
12

The kinetic energy(Jules) of an object can be calculated using the following formula:

Mathematics
1 answer:
weeeeeb [17]2 years ago
3 0

Answer:

  75 J

Step-by-step explanation:

You want to know the kinetic energy in joules of a 6 kg ball that has a velocity of 5 m/s. The formula is given.

<h3>Kinetic energy</h3>

Kinetic energy is energy of motion. It is jointly proportional to mass and the square of velocity. The value is given by the formula ...

  KE = 1/2·mv²

For the given values of mass (6 kg) and velocity (5 m/s), the kinetic energy is ...

  KE=\dfrac{1}{2}(6\text{ kg})(5\text{ m/s})^2=75\text{ kg$\cdot$m$^2$/s$^2$}=\boxed{75\text{ J}}

The kinetic energy of the ball is 75 joules.

__

<em>Additional comment</em>

The unit joule (J) is a derived unit of energy equal to 1 kg·m²/s²

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Directions: Answer true or false. If false, provide a counterexample.
Arisa [49]

Natural numbers are closed under division: false.

A set is closed under a certain operation if the results of that operation are always inside that set.

So, if natural numbers were closed under division, the division of two natural numbers would always be a natural number.

You have plenty of counterexamples, to pick one you may divide any odd number by 2: 5/2 is not a natural number.

Negative numbers are closed under addition: true.

Let m,n be two positive numbers. So, -m,-n are two negative numbers. Their sum is

(-m)+(-n)=-(m+n)

And since m+n is positive, we deduce that -(m+n) is negative, so the sum of two negative numbers is still negative.

Prime numbers are closed under subtraction: false.

This would mean that the subtraction of two primes is also a prime. Again, there are many counterexamples: 7 is prime and so is 3, but their difference 7-3 is 4, which is not prime.

7 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a
galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

4 0
4 years ago
Factor -1/3 out of -1/3x-8
Lana71 [14]
Multiply the x part by -3 to cancel out the fraction, so the final answer will be x + 24. You could also multiply by 3 then divide by -1 to change the signs
6 0
3 years ago
Help!!!! Which number line shows the solution to 6 + (−6)?
fomenos

Answer: Hi!

The solution to positive 6 and -6 is 0. A negative and a positive of the same absolute value cancel out.

Hope this helps!

3 0
4 years ago
Helllllllllpppppppppppppp
Brilliant_brown [7]

Answer:

54

Step-by-step explanation:

3/(1/2)=6

6x9=54 mi

Thanks and make sure to follow!

3 0
3 years ago
Read 2 more answers
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