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A force of 45 n is exerted on an object, resulting in an acceleration of 5 m/s² for the object. what will the object's acceleration be if the force doubles? question 9 options: a. 2.5 m/s² b. 5 m/s² c. 10 m/s² d. 20 m/s²

User Shaba
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2 Answers

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According to the Newton’s equation, F=ma , if the force doubles the acceleration also doubles

So the answer is c) 10 m/s^2
User Lads
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4 votes

Answer:

Option C. 10 m/s²

Step-by-step explanation:

First we need to find the mass of the object.

We can use Newton's second law to evaluate the mass of the object.

Newton's second law says that the net force of is equal to the mass times it acceleration.


F_(net) =ma

Lets solve for
m.

Divide each side by
a.


m=(F_(net) )/(a)

We are given


F_(net) =45\\a=5

Lets evaluate
m.


m=(45)/(5)


m=9

Now we can find the object's acceleration if the force doubles.


F_(net) =ma

Lets solve for
a.

Divide each side by
m.


a=(F_(net) )/(m)

Doubling the force of 45 N leaves us with a force of 90 N.


a=(90)/(9)


a=10

We can see that the object's acceleration is directly proportional to the net force and inversely proportional to the object's mass.

User Sam Graham
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