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Old Nov 7th 2016, 02:10 PM   #1
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Urgent need help

Hello everyone,

I have been trying to understand and learn about vectors for a few days now. I am not able to grasp the concept or understand it. I have to solve the below problems. I would really appreciate it if someone can guide and help me on solving the problems.


1.
Two displacement vectors d1and d2each point 35 north of west. One has a
magnitude of 4.60km, while the other has a magnitude of 3.20km. What are the magnitude and direction of the resultant vector?

2.
Two ropes are attached to a heavy box to pull it along the floor. One rope appliesa force of 475 newtons (N) in a direction due west; the other applies a force of 315N in a direction due south. Remembering that force is a vector quantity, how much force should be applied by a single rope and in what direction, if it is to accomplish the same effect as the two forces added together?

3.
A boat travels due east for a distance of 5.74km and then travels 25 south of east for a distance of 6.28km. Calculate the magnitude and direction of the resultant displacement.

4.
A displacement vector has a magnitude of 145m and points at an angle of 28.0 above the negative side of the x-axis. What is the magnitude and direction of the x and y components of the vector?

5.
An ocean liner leaves New York City and travels 18.0 north of east for 155
km. How far east and how far north has it gone? In other words find the
x and y components of the vector.


Thank you.
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Old Nov 7th 2016, 02:15 PM   #2
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Originally Posted by phyed View Post
Hello everyone,

I have been trying to understand and learn about vectors for a few days now. I am not able to grasp the concept or understand it. I have to solve the below problems. I would really appreciate it if someone can guide and help me on solving the problems.


1.
Two displacement vectors d1and d2each point 35 north of west. One has a
magnitude of 4.60km, while the other has a magnitude of 3.20km. What are the magnitude and direction of the resultant vector?

2.
Two ropes are attached to a heavy box to pull it along the floor. One rope appliesa force of 475 newtons (N) in a direction due west; the other applies a force of 315N in a direction due south. Remembering that force is a vector quantity, how much force should be applied by a single rope and in what direction, if it is to accomplish the same effect as the two forces added together?

3.
A boat travels due east for a distance of 5.74km and then travels 25 south of east for a distance of 6.28km. Calculate the magnitude and direction of the resultant displacement.

4.
A displacement vector has a magnitude of 145m and points at an angle of 28.0 above the negative side of the x-axis. What is the magnitude and direction of the x and y components of the vector?

5.
An ocean liner leaves New York City and travels 18.0 north of east for 155
km. How far east and how far north has it gone? In other words find the
x and y components of the vector.


Thank you.
We aren't here to do your homework. Is there a particular place you get stuck on, say, for question 1?

-Dan
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Old Nov 7th 2016, 02:41 PM   #3
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Hi Dan,

For question 1 I am not able to understand if I should find the resultant for d1 and d2 separately and then add them?

Thank you.
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Old Nov 7th 2016, 02:52 PM   #4
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Originally Posted by phyed View Post
Hi Dan,

For question 1 I am not able to understand if I should find the resultant for d1 and d2 separately and then add them?

Thank you.
You can do that in general, but it's a lot easier to use the component method. Have you learned that yet?

For problem 1 you are correct. The two vectors are in the same direction so you can simply add the two magnitudes. But remember you still need to put the direction (angle) in for your final answer. The answer would be 7.80 km at 35 degrees N of W.

-Dan
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