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A person has a reasonable chance of surviving an automobilecrash if the deceleration is no more than 30 g's Calculate theforce on a $65-\mathrm{kg}$ person accelerating at this rate. What distanceis traveled if brought to rest at this rate from 95 $\mathrm{km} / \mathrm{h}$ ?

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$v=\frac{C}{3 m} t^{3}$, $x=\frac{C}{12 m} t^{4}$

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

Hope College

University of Winnipeg

McMaster University

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.

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velocity and a formula for the displacement and the extraction. We know that the force is going to be equal to mass tended celebration. And they're telling us that this is equal to some constant C Teach the cue TC squared other. At this point, we can say that the acceleration would be equal to C T squared, divided by M and according to the definition of acceleration, this is gonna equal the change in velocity. With respect to time, we can say that the change in velocity would be equal to C T squared, divided by, um with respect to time so times d t and so we can finally take the integral. So it be zero to V of TV and this would equal, uh, in this case, it would be C over m. So factor of those constants and then from zero to t of t square D t. And, uh, we have that V is going to be equal to C T cubed over three m. So this would be our expression for philosophy? No, for ah, the ex displacement. You know that this is equaling d X. Rather, the change of displacement with respect to time according to the definition of velocity. So we simply have to integrate again. So now it would be integrating from zero to X uh, d X. And this will be, uh, integrated from rather this one equal See over three m times the integral from zero to t of T cubed D t. And, uh, we have the X is gonna be equal to see t to the fourth, divided by 12 them. And this would be our formula for the displacement in the ex direction. That is the end of the solution. Thank you for watching.

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