Chapter 10 Energy, Work and Simple Machines Energy The ability to produce change in itself or its’...

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Chapter 10 Energy, Work and Simple Machines

Transcript of Chapter 10 Energy, Work and Simple Machines Energy The ability to produce change in itself or its’...

Chapter 10

Energy, Work and

Simple Machines

Energy

The ability to produce change in itself or its’ environment.

Energy of Motion:

Kinetic Energy

Kinetic EnergyNewton's 2nd Law

F = maEquation for an object in motion.

v12= v2

2 + 2ad

Fm = a

Kinetic Energy

v12= v0

2 + 2Fdm

v12 - v0

2 = 2Fdm

½m(v12 - v0

2) = Fd

Kinetic Energy

Fd = Work

∆K = Work

Kinetic Energy

½mv12 - ½m v0

2 = Fd

K = ½mv2

ΔK = Fd

WorkApplying a Force

through a distance is WORK!!

Fd = Work ΔK = Work

WorkWork is measured in

Joules(J).J = N•mJ = kg m2

s2

Example 1A 105g hockey puck is sliding across the ice. A player exerts a

4.5N force over a distance of 0.15m. How much work does the player do on the puck? What is the change in the pucks energy?

Example 1

Example 1Given: m=105g=0.105kg

F=4.5Nd=.15m

Eq: W=F dW=(4.5N)x(0.15m)

W=0.68J

Example 2A gardener pushes a lawn mower across a 20m lawn. He applies a 250N force to the handle. If the

handle makes a 30º with the ground, how much work is done

to make one pass across the lawn?

Example 2

30º

F

d

Exam

ple

2

x comp:Fx = Fcos30º

Given: d=20mF=250N at 30º

Fx = 250cos30º Fx = 217N

Eq: W = Fxd W = 217N X 20m W = 4340J

Homework 10-1Practice Problems: 1-5

Page: 227Practice Problems: 6-8

Page: 229Due: 1/27/03

Power – watts - W

Power is the rate at which work is done.

Power = work time

Power

P = W t

P = Fd t

Example 2A farmer lifts a 1.0kg bail of hay 2m. On a good day it takes the farmer 0.5s. How much power

does the farmer produce.

Exam

ple

2

Given: d = 2mm =1kgt = 0.5s

Eq: P = W t

P = mgd t

P = Fd t

P = (1kg)(9.8m/s2)(2m) 0.5s

P = 39.2 W

P = mgd t

Machines

A machine eases the load by changing either the magnitude or the direction of a force as it transmits energy to the task.

Mechanical Advantage

Fr

Fe

Mechanical Advantage

Effort Force ( Fe ) : The force you apply

to the machine.

Resistance Force ( Fr ) :The force exerted by the machine.

Mechanical Advantage

Mechanical Advantage (MA) The number of times the machine

multiplies the effort force.MA = resistance force

effort force

MA = Fr Fe

Ideal Mechanical Advantage

dr de

Fr

Fe

Ideal Mechanical Advantage

Work In = Work Out

IMA = de

dr 

The Lever

Fr Felr le

MAlever = effort arm length

resistance arm length

MAlever = le

lr

Pulleys

Fixed Pulley

Movable Pulley

Mechanical Advantage of a Pulley: The number of ropes supporting the resistance weight.

MA = 1 MA = 2 MA = 3

Block and Tackle The arrangement of several pulleys.

Wheel and Axle

rw

ra

MA = radius of wheel radius of axle

MA = rw

ra

Inclined Plane

A slanted surface used to raise objects

l

h MA = l h

Efficiency

Efficiency = Work Out x 100% Work In

Efficiency = Fr x dr x 100% Fe x de

Compound Machine

MA = MA1 x MA2

1 2

Homework 10-3Practice Problems: 13-16

Page: 238Section Review: 1-4

Page: 238Due: 1/30/03

Homework 10-4Problems: 31,33,37,

40, and 41Pages: 242-245Due: 1/31/03Test: 2/4/03

Homework 10-5Problems: 48, 49, 50,

52, and 53Pages: 242-245

Due: 2/3/03Test: 2/4/03