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A film of Jesse Owens's famous long jump (Fig. 49) in the 1936 Olympics shows that hiscenter of mass rose 1.1 $\mathrm{m}$ from launch point to the top of thearc. What minimum speed did he need at launch if he wastraveling at 6.5 $\mathrm{m} / \mathrm{s}$ at the top of the arc?

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8.0 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 8

Conservation of Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Cornell University

University of Winnipeg

McMaster University

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

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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A film of Jesse Owens'…

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74. A film of Jesse Owens*…

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Sports During a long jump …

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In the long jump, an Olymp…

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Soaring Shaun During the 2…

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An Olympic long jumper is …

02:07

01:46

BI0 In High jump. The winn…

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A daring 510 $\mathrm{N}$ …

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An Olympic long jumper lea…

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Mike Powell holds the reco…

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A daring swimmer dives off…

06:20

A daring 510-N swimmer div…

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A daring 510 -N swimmer di…

all right, We're doing energy conservation. Initially, Jesse Owens had just kinetic energy 1/2 and be one squared. B one is velocity initially uses what we're after. That's equal to his final Connecticut, and you won't happen. You two squared, plus the potential energy. But why? To being the height to which he rises? Um ends. Cancel. So V one is just the square root of you two squared plus two g y two on. So this is the square root of 6.5 meters per second quantity squared plus two times 9.8 meters per second squared, um times 1.1 meters, giving us 8.0 meters per second as the initial speed.

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