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3 years ago

When does the proportion form of newton's second law take the form of an equation?

1 answer:

8 0

Newton's law of motion has three parts. The second of which states that the force needed to move an object is directly proportional to the acceleration of the motion. The proportion can be written as,
F = ka
where k is the constant of proportionality. This can be substituted with the mass of the object such that the equation would become.
F = ma
where F is force, m is mass, and a is acceleration.

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Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the s

dolphi86 [110]

Answer:

The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour

Step-by-step explanation:

The given parameters are;

The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind

The speed of the wind = 5 miles per hour

Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;

Time = Distance/Speed

Mr Solberg's speed against the wind = v - 5

Mr Solberg's speed with the wind = v + 5

The distance covered at a given time, while riding against the wind = 3 miles

The distance covered at the same time, while riding with the wind = 4 miles

The time in both instances are therefore 3/(v - 5) = 4/(v + 5)

From which we have;

3 × (v + 5) = 4 × (v - 5)

3·v + 15 = 4·v - 20

20 + 15 = 4·v - 3·v

4·v - 3·v = 20 + 15

v = 35

The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.

7 0

3 years ago

What is the domain and range of the following graph?

puteri [66]

Using it's concepts, the domain and the range of the graph are given as follows:

Domain: all real values except x = -1.

Range: All real values.

<h3>What are the domain and the range of a function?</h3>

The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.

The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

Domain: all real values except x = -1.

Range: All real values.

More can be learned about the domain and the range of a function at brainly.com/question/10891721

#SPJ1

6 0

2 years ago

Simplify the following expression 6X2 plus 8X -3 minus 3X2-6

Murrr4er [49]

Answer:

-24

Step-by-step explanation:

I´m guessing by the big x sign you want me to multiply so the first step in the equation is to multiply because of PEMDAS so(6*2)+(8*-3)-3*2-6,

so 6*2=12,8*-3=-24,-3*2=-6

12+-24-6-6,

12-24=-12,-6+-6=-12

-12+-12=-24

7 0

3 years ago

the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i

dalvyx [7]

10:15:8
3:4.5:2.4
The difference = 1.5

7 0

3 years ago

At what point is the function y=(x+3)/(x^(2)-7x+12) continuous

nika2105 [10]

If a function is defined as

$h(x)=\dfrac{f(x)}{g(x)}$

where both $f(x),g(x)$ are continuous functions, then $h(x)$ is also continuous where defined, i.e. where $g(x)\neq0$

So, in your case, this function is continous everywhere, except where

$x^2-7x+12=0$

To solve this equation, we can use the formula $x^2-sx+p=0$

It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.

So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.

So, this function is continuous for every real number different than 3 or 4.

3 0

3 years ago