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4vir4ik [10]
2 years ago
5

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the obj

ect. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s^2 ?
Mathematics
1 answer:
aev [14]2 years ago
4 0

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

From the question,

We are to determine the force the object will exert.

From the information,

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let acceleration be a

and

Force be F

Then we can write that,

F ∝ a

Then,

Introducing the constant, mass, m

We get

F = ma

Now, we will determine the mass of the object

F = 15 N

a = 3 m/s²

Putting the parameters into the formula, we get

15 = m × 3

∴ m = 15 ÷ 3

m = 5 kg

The mass of the object is 5 kg.

Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²

That is,

a = 7 m/s²

and

m = 5 kg

Putting the parameters into the formula, we get

F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

Learn more here: brainly.com/question/13590154

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1. Draw an appropriate Venn diagram to depict each of the following sets. U = The set of integers. A = The set of even integers.
CaHeK987 [17]

The attached diagram represents the Venn diagram of the sets

<h3>How to draw the Venn diagram?</h3>

The sets are given as:

  • The universal set, U = The set of integers.
  • A = The set of even integers.
  • B = The set of odd integers.
  • C = The set of multiples of 3.
  • D= The set of prime numbers

From the above representation, we have the following highlights:

  • Set A and set B will not intersect, because no number can be even and odd
  • Set C and set D will intersect set A because they have common elements 6 and 2, respectively
  • Set C and set D will intersect set B because they have common elements 3 and 3, respectively

Using the above highlights, we can now draw the Venn diagram

See attachment for the Venn diagram

Read more about Venn diagram at:

brainly.com/question/4910584

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3 0
2 years ago
Given a graph for the transformation of f(x)=f(kx), determine the k value
jarptica [38.1K]

Answer:

  • B. k = 1/3

Step-by-step explanation:

Compare any two points on same horizontal line.

<u>The easy one is:</u>

  • f(-3) = g(-1) = - 3

<u>Since g(x) = f(kx), substitute the x- coordinates to find the value of k:</u>

  • - 1 = k*(-3)
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Correct choice is B

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