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3 years ago

A constant force F=47i+30j moves an object along a vector D=13i-8j. find the work done

Mathematics

2 answers:

Nikitich [7]3 years ago

3 0

$W=(47\,\mathbf i+30\,\mathbf j)\cdot(13\,\mathbf i-8\,\mathbf j)=371$

WINSTONCH [101]3 years ago

3 0

Answer: The correct answer is 371 J.

Step-by-step explanation:

The expression for work done in terms of force and displacement is as follows;

W=F.D

Here, F is the applied force and D is the displacement.

Here, the work done is equal to the dot product of force and displacement. The dot product of i.i=j.j=k.k=1.

Calculate the work done.

W=F.D

Put F=47i+30j and D=13i-8j.

W=(47i+30j).(13i-8j)

W=611-240

W= 371 J

Therefore, the work done is 371 J.

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sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

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The height is 5 cm

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<u>New triangle:</u>

The base is $(1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm$

The height is $(1+0.2)\cdot 5=1.2\cdot 5=6\ cm$

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3 years ago

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A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit

natita [175]

The balance after 8 years is $22,942.67

<h3>What is the balance after 8 years?</h3>

We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:

B = $7500*(1 + 15%/100%)^t

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So the correct option is the last one.

If you want to learn more about exponentials:

brainly.com/question/2456547

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