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$$\begin{array}{l}{\text { (II) A skateboarder, with an initial speed of } 2.0 \mathrm{m} / \mathrm{s} \text { , rolls virtu- }} \\ {\text { ally friction free down a straight incline of length } 18 \mathrm{m} \text { in } 3.3 \mathrm{s} \text { . }} \\ {\text { At what angle } \theta \text { is the incline oriented above the horizontal? }}\end{array}$$

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$12^{\circ}$

Physics 101 Mechanics

Chapter 4

Dynamics: Newton's Laws of Motion

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Sheffield

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

0:00

(II) A skateboarder, with …

01:58

04:12

A skateboarder, with an in…

04:15

01:14

A student is skateboarding…

04:16

02:47

ssm A student is skatcboar…

02:54

A skateboarder starts from…

A block slides down an inc…

00:58

A skateboarder rolls from …

04:51

(II) A skier traveling 9.0…

01:49

A 16-kg sled is being pull…

00:53

A block of mass 3.5 kg sli…

So here we're trying to find the angle. We have the slope. This box here will represent the skateboarder perpendicular to the surface of contact would always be forced. Normal on going straight down would be mg. Here we're trying to find data so we can say that Delta X would be equal to the initial T plus 1/2 a T square. This is gonna be equal to be initial T plus 1/2 of G t squared sign of Fada and so we can solve for theta and safe Ada. It's simply gonna be able to arc sine of two times Delta X minus the initial teeth divided by G t squared Let's solve so arc sine of two times 18 meters minus two times 2.0 meters per second multiplied by 3.3 seconds. Uh, this would all be divided by 9.80 meters per second squared multiplied by 3.3 seconds. Quantity squared and we find that Seita would be equal to 12 degrees, so this would be our final answer. That is the end of the solution. Thank you for watching

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