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
The telephone company offers two billing plans for local calls. Plan 1 charges $34 per month for unlimited calls and Plan 2 char
lawyer [7]

Answer:

more than 200 calls

Suppose number of calls = x

According to plan 1: Total monthly charge is $24

According to plan 2: Fix charge is $16 and $0.04 per call

cost of x's call = $0.04x

and monthly charge according to plan 2 = 0.04x + 16

a)  Plan 1 is more economical than plan 2.

0.04x + 16 > 24

solve it for x

.04x > 8

x > 200

b)   So,  if more than 200 calls are made then Plan 1 is more economical.

Step-by-step explanation:

6 0
3 years ago
Which inequality is represented by this graph?
DanielleElmas [232]

Answer:

C

Step-by-step explanation:

Because in graph there are boxes

And boxez are squre

And C is the answer

You Fool

Yoo Fool

7 0
2 years ago
The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model
Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$  in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

                    $=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

                   $=10,000[e^{0.4}-1]$

                    $=10,000[0.49]$

                    =4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

   $=10,000e^{0.02(5)}$

   $=11051$

In 2000,

$P=10,000e^{0.02(10)}$

   =12,214

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0
3 years ago
Solve the problem.
choli [55]

Answer:

6\frac{3}{100}

Step-by-step explanation:

$603 dollars ÷ 100 shoppers = $6.03 per shopper, or 6\frac{3}{100} as a mixed number

4 0
3 years ago
Hello everyone can you answer this for me? What is A in the equation attached? Please and thank you.
lapo4ka [179]

Answer:

a = 6

Step-by-step explanation:

Hello!

Solve:

  • 4(3a - 4) = 56
  • 3a - 4 = 14          (factoring out 4)
  • 3a = 18               (adding 4 to both sides)
  • a = 6                   (dividing by 3)

Another way:

  • 4(3a - 4) = 56
  • 12a - 16 = 56        (distributive property)
  • 12a = 72               (moving like terms)
  • a = 6                    (dividing by 12)

Distributive Property of Multiplication:

The process of distributing the outside factor to the terms in the parenthesis.

Example:

4(3a - 4)\\\\4(3a) - 4(4)\\\\12a - 16

7 0
2 years ago
Read 2 more answers
Other questions:
  • The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
    5·2 answers
  • 50 points
    13·1 answer
  • I will give you BRAINLIEST
    9·2 answers
  • Solve the quadratic equation by factoring:<br><br> 6x²−x=15
    6·1 answer
  • There are ten amendments in the Bill of Rights. <br><br> Fact or opinion
    7·2 answers
  • Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
    5·1 answer
  • Help ASAP please!!!!!!!!!​​
    13·1 answer
  • A distributor needs to blend a mix of Gualtemala Antigua coffee that normally sells for $8.50 per pound with a Rift Valley coffe
    15·1 answer
  • A wireless carrier offers the following plans that a person is considering.
    10·1 answer
  • Mrs. Hussen has two similar recycling bins in her office. The dimensions of the smaller bin can be found by dilating the dimensi
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!