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If a child pulls a sled through the snow on a level path with a force of 50 N exerted at an angle of $ 38^\circ $ above the horizontal, find the horizontal and vertical components of the force.

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Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Missouri State University

Campbell University

Baylor University

University of Nottingham

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

00:38

$$\begin{array}{l}{\text {…

01:30

If a child pulls a sled th…

01:32

Approximate the horizontal…

01:00

A child pulls on a rope at…

03:26

A child slides down a snow…

01:15

A young man pulls a sled h…

02:40

Resolve the force vector o…

0:00

A sled is pulled along a l…

01:11

so in this problem, or you'll be looking at vectors. And what we see is that, um the sled is pulled through the snow with a force of 50 Newtons exert an angle of 38 degrees s. So what we have is sort of like a right triangle in which we have a high pop news. Say it looks something like this and then cut off a tsum point. This is 50 Newtons, some vector on that's going to be I'm essentially equivalent two this vector and this vector two vectors, one going right and one going up. So we see that the magnitude of the vector, which is the force, is 50 Newtons. So that means that we'll have a equal to our coast science data and be equal to our find data. We know that our is the magnitudes. That'll be 50. I'm the co sign of 38 and this is in degrees, so we'll get 39.4 degrees, and then this is going to be 50 again because that's the magnitude and 38 degrees. So we'll get 30.8, you know, approximately s O. That means that horizontally, um, it would be 39.4 Newtons at vertically would be 30.8 minutes

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