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sergij07 [2.7K]
2 years ago
14

At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One

of the pickups pulls with a force of 3000 pounds and the other pulls with a force of 2500 pounds with an angle of 60 degrees between them. With how much force must the monster truck pull in order to remain unmoved? (find the resultant of the two trucks)
vector problem

Mathematics
2 answers:
ziro4ka [17]2 years ago
4 0

Answer:

Monster truck should apply 4770 pounds to make system stable or unmoved.

Step-by-step explanation:

In the figure attached Pickup truck truck 1 is pulling up with a force of 25000 pounds and Truck 2 is pulling up with a force of 3000 lb.

These force are acting on a angle of 60°.

We have to find the measure of pull applied by monster truck to make the system unmoved or stable.

Now from the figure we can easily say the if monster truck pulls with a force which is equal and opposite to the resultant of two forces applied by pick up trucks then system will remain unmoved.

Since R² = 2500² + 3000² + 2(2500)(3000)cos60° (Resultant vector R²= a² + b² + 2ab cos∅)

R^{2}= 625(10)^{4} +900(10)^{4}+2(25)(30)(10)^{4}(\frac{1}{2})

R^{2}=1525(10)^{4}+750(10)^{4}=2275(10)^{4}

R=\sqrt{2275(10)^{4}}

R=47.6969(10)^{2}=4769.69

Therefore, Monster truck should apply force of 4770 pounds.

Pachacha [2.7K]2 years ago
3 0
Suppose truck A is the one who is pulling with 3000 lbs and truck B the one pulling with 2500 lbs. Suppose that the force of truck A is aligned along the x-axis and the force of truck B is aligned in the first quadrant. Now lets solve the components of the resultant force.

Rx = 3000 + 2500 * cos(60) = 4250Ry = 2500 * sin(60) = 2165.064R = sqrt(Rx^2 + Ry^2) = 4770 lbs.

Therefore, the monster truck has to pull 4770 lbs.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Jonah runs 3/5 miles on Sunday and 7/10 miles on Monday.He uses the model to find that he ran a total of 1 mile. What mistake do
antoniya [11.8K]

Answer: He did not convert the fractions into the like fraction to add.


Step-by-step explanation:

Given: The distance Jonah runs on Sunday= \frac{3}{5} miles

The distance Jonah runs on Monday= \frac{7}{10} miles

The total distance he ran = \frac{3}{5}+\frac{7}{10}\ miles

Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get

The total distance he ran = \frac{3\times2}{5\times2}+\frac{7}{10}\ miles

=\frac{6}{10}+\frac{7}{10}=\frac{6+7}{10}\\\\=\frac{13}{10}=1\frac{3}{10}\ miles

The right answer is "The total distance he ran =1\frac{3}{10}\ miles"


7 0
3 years ago
How do I do this? I’ve tried it out but I’m not sure if it’s correct. It’s about the Elimination Method.
dem82 [27]
Most times, it’s good to talk to your teacher for help. I think it would be a good idea to ask your parent, sibling or any adult for help. Sometimes you think harder than you should so relax and try reading the question again. I hope you figure this out! Good luck!
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3 years ago
What would the first step be in solving the inequality: -y (less than or greater than sign) 136
Alex73 [517]

"-y (less than or greater than sign) 136" translates into two separate inequalities:


-y < 136 and -y > 136.


You want to solve for y in each case. To do this, multiply each inequality by "-1" and then immediately change the direction of the inequality sign.


For example: -1(-y < 136) => y > -136.

5 0
3 years ago
QUESTION 4 of 10: You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised
puteri [66]

Answer:

We conclude that will  rent be at the end of this year 937.125$.

Step-by-step explanation:

We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.

We calculate

\frac{850}{100}=8.5\\\\5\cdot 8.5=42.5\\\\850+42.5=892.5\\

now, we get

\frac{892.5}{100}=8.925\\\\5\cdot 8.925=44.625\\\\892.5+44.625=937.125\\

We conclude that will  rent be at the end of this year 937.125$.

4 0
3 years ago
Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6​
pishuonlain [190]

Answer:

x = -2  y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

<u>To find x:</u>

<u>If you do (3x - 2y = 10) - (5x + 2y = 6​),</u> you will get -2x=4. Divide both sides by -2, and get x = -2.

<u>If you do (5x + 2y = 6​) - (3x - 2y = 10)</u>, you will get 2x=-4.Divide both sides by 2, and get x = -2.

<u>To find y:</u>

Substitute -2 for x in either equation. It doesn't matter.

<u>For 3(-2) - 2y = 10:</u>

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

<u>For 5x + 2y = 6​:</u>

5(-2) + 2y = 6​ ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

 

6 0
2 years ago
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