1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elixir [45]
3 years ago
9

For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on

a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 21 N, what will be the acceleration of the object?
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
<h3>Answer:  3 m/s^2</h3>

=======================================================

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.

You might be interested in
Compare positive and negative slope for linear relationships. How are they the same? How are they different?
Gekata [30.6K]

Answer:

Please check explanations

Step-by-step explanation:

Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line

Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise

They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.

They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two

5 0
3 years ago
I put $500 in a saving account that warns 7% interest compounded quarterly. How much will be in the account after 1 year? Rounde
Fantom [35]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$500\\&#10;r=rate\to 7\%\to \frac{7}{100}\to &0.07\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{quarterly, thus four}&#10;\end{array}\to &4\\&#10;t=years\to &1&#10;\end{cases}&#10;\\\\\\&#10;A=500\left(1+\frac{0.07}{4}\right)^{4\cdot 1}\implies A=500(1.0175)^4\implies A\approx 535.92951564
5 0
3 years ago
What is 372 rounded to the nearest 100
Xelga [282]
372

The number 3 is in the hundreds place.

Look to the number immediately to the right.

We know that 7 is bigger than 3.

So, we add 1 to 3 and the rest become 0.

Answer: 400
7 0
3 years ago
Read 2 more answers
4xy+4x-6y-6 factored completely
Aneli [31]

Answer:

(4x - 6)(y + 1)

Step-by-step explanation:

Group them: (4xy + 4x) (-6y - 6)

Take out the greatest common factor for both:

4x(y + 1)  -6(y + 1)

Put it together: (4x - 6) (y + 1) (y + 1)

Since there are two (y + 1)'s, you can get rid of one, giving you:

(4x - 6) (y + 1)

3 0
3 years ago
Look at the sample space below. {1, 2, 3, 7, 9, 10, 15, 19, 20, 21} When chosen randomly, what is the probability of picking an
maw [93]

Answer:

the probability of picking an odd number is 7/10

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me I'm so confused 20 points for this!!!!
    12·1 answer
  • What's the unit cube
    14·2 answers
  • In a college of 1250 students, 350 students owned their own car. What fraction of the students owned their own car?
    14·1 answer
  • What is the center or a circle represented by the equation (x+9)2 + (y-6)2 = 10 to the power of 2
    12·1 answer
  • -1/3(n + 15) = -2<br><br> Explain how to solve it.
    9·2 answers
  • What is the range of the graph of f(x) = -3(x-4)?
    12·1 answer
  • At Luby's, an adult's meal is $7.50 and a kid's meal
    15·1 answer
  • Find the slope and y-intercept of the line whose equation is given.
    10·1 answer
  • A 2-column table with 5 rows. Column 1 is labeled Evelyn's Scores with entries 125, 137, 138, 145, 145. Column 2 is labeled Dist
    15·2 answers
  • Ali is 12 years and his sister is 8 years what is the ratio of the sister's age to ali's?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!