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(1) A 16.0 -kg child descends a slide 2.20 $\mathrm{m}$ high and reachesthe bottom with a speed of 1.25 $\mathrm{m} / \mathrm{s} .$ How much thermalenergy due to friction was generated in this process?

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$332 \mathrm{J}$

Physics 101 Mechanics

Chapter 8

Conservation of Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

University of Sheffield

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.

01:41

(I) A $16.0-\mathrm{kg}$ c…

04:21

(I) A 16.0-kg child descen…

01:27

01:08

(II) A 21.7 -kg child desc…

03:32

(II) A child slides down a…

04:34

05:55

A child goes down a playgr…

02:33

A $25 \mathrm{~kg}$ child …

13:41

(III) A child slides down …

15:48

01:00

A child and sled with a co…

04:06

A child whose weight is 26…

01:52

(1I) A 56 -kg skier starts…

04:55

A child whose weight is $2…

05:47

A child weighing 140 $\mat…

All right. So simple conservation of energy problem here, child at the top, uh, is is that all H equals 2.2 meters from ground level on initially the child house. Only potential energy. Assuming it starts, the child starts at rest. And we want to find out how much thermal energy has been produced as a kiss. As I hear she slides down and saw you compute Initial pg Ah, are you equate initial Petey to the kinetic energy plus Ah, thermal energy. I'm calling it the thermal mate. So initial potential energy potential energy on the top is, um m g times. Why one, Ah, minus zero. And ah, kinetic energy of the bottom is 1/2 em be warm squared, which is the velocity of the the velocity of the bottom. Ah, and at that to the thermal energy and sound thermal energy, therefore, is just em. Let's take mass. Common times G y wand, Siri term on the left hand side minus 1/2 the one squared very simply and so m is 16 kilograms times G 9.8 meters per second times. Why wan is a 2.2 meters minus 1/2 ve one square, which is 1.25 meters per second hole, squared on DH, so that equals 3 32 jewels for the thermal energy.

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