Understanding vectors, direction, and magnitude

In summary: So you should have Rx = 8N - 0N and Ry = 10N - 5N. When you add these two vectors together, you should get a net force of 8N in the north-west direction. So that's the direction in which the bear will move if we don't do anything. Now for part b, we want to know what force and direction we need to apply to make the net force on the bear be zero. Since the net force now is 8N in the north-west direction, we need to apply a force that is the same magnitude (8N) but in the opposite direction (south-east). So David should pull with 8N force in the
  • #1
ducks10
1
0
Hi, I need some help

Homework Statement



Three kids are pulling on a poor teddy bear. Andy is pulling with a force of 10N in the North direction. Ben is pulling with %N straight South, and Charlie is pulling with 8N in the West direction
a) which direction will they move
b) In what direction with what force should david pull to make sure the teddy bear doesn't move?

Homework Equations



A=Ax+Ay

The Attempt at a Solution


Rx= 8N+0N, Ry= 10N + 5N
North west direction?

Please :)
 
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  • #2
Step 1: Draw a picture of what is going on, before David arrives on the scene.
Step 2: Using this picture, what are the sum of forces applied to the bear in the x direction? The y direction?

Additional steps to be supplied when you get step 2 correct. :smile:
 
  • #3
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ducks10 said:
Hi, I need some help

Homework Statement



Three kids are pulling on a poor teddy bear. Andy is pulling with a force of 10N in the North direction. Ben is pulling with %N straight South, and Charlie is pulling with 8N in the West direction
a) which direction will they move
b) In what direction with what force should david pull to make sure the teddy bear doesn't move?

Homework Equations



A=Ax+Ay

The Attempt at a Solution


Rx= 8N+0N, Ry= 10N + 5N
North west direction?

Please :)
I don't think "north west" is specific enough, they probably want to know how many degrees from north it will move.

When you calculate Rx and Ry, you need to keep track of whether each force is treated as positive or negative. Usually north or east are positive, while south or west would be negative.
 

FAQ: Understanding vectors, direction, and magnitude

What are vectors and how are they different from scalars?

Vectors are mathematical quantities that have both magnitude (size or amount) and direction. They are different from scalars, which only have magnitude and no direction.

How can we represent vectors?

Vectors can be represented in a variety of ways, such as with arrows on a graph, in component form (x and y coordinates), or using unit vectors (vectors with a magnitude of 1).

What is the difference between displacement and distance?

Displacement is a vector quantity that measures the change in position from the starting point to the ending point. Distance, on the other hand, is a scalar quantity that measures the total length traveled along a path.

What is the Pythagorean theorem and how is it used with vectors?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem can be applied to vectors to find the magnitude of the resultant vector using its x and y components.

How do we find the direction of a vector?

The direction of a vector can be found using trigonometric functions such as sine, cosine, and tangent. These functions can be used to find the angle between the vector and a reference axis, usually the positive x-axis.

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