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Density = D = . mass volume. m v. IPC 4a. Calculate speed, momentum, acceleration, work, and power in systems such as in the human body, moving toys, and machines;. On the right side: The formula is given in symbols.
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Density = D = mass volume m v IPC 4a Calculate speed, momentum, acceleration, work, and power in systems such as in the human body, moving toys, and machines; On the right side: The formula is given in symbols On the left side: The formula is given in words
Formulas Gravity Constants, Symbols and Units Formula Chart Newton’s 2nd Law Power = work = force x distance time time
TRIANGLE METHOD- Student Practice: Scrap Paper D = m/v An object has a density of 10 g/cm3 and a volume of 3 cm3. What is its mass? Answer: 30g M An object has a mass of 50 g and a volume of 10 cm3. What is its density? ÷ Answer: 5g/cm3 D V X An object has a mass of 50 g and a density of 5 g/cm3. What is its volume? Answer: 10cm3
TRIANGLE METHOD Student Practice: Scrap Paper An object has a mass of 5g and an acceleration of 8 kg/s2 . What force does it exert? f = ma f f f Answer: 40N ÷ ÷ ÷ An object exerts a force of 100N and has a mass of 50 kg . What is its acceleration? Answer: 2kg/ s2 X X X m m m m a a a a An object has a force of 200N and an acceleration of 2kg/ s2. What is its mass? Answer: 100 kg
Triangle Method-Your Turn • Speed = distance/time (v=d/t) • Power = work/time (p=w/t) • Velocity of a wave=frequency x wavelength (v=fλ) • Current = voltage/resistance (I = v/R) Student Practice: Scrap Paper v d w v I R P t v t t f λ
When solving a problem--- • First read the problem carefully and list what you know and what you are solving for. • Secondidentify the formula from the formula chart that includes what you are given. • Third Using the triangle method, set up the formula. You may have to rearrange the formula to solve for the unknown quantity.
Which formula? • The weight lifter used a force of 980 N to raise the barbell 2.04 m over her head in 5.21 seconds. Approximately how much work did she do in raising the barbell? • Approximately how much power did the weight lifter exert lifting the barbell in 5.21 seconds? • What is the momentum of a 40 kg bike riders moving at 45 km/h? • What is the mass of a 500.00 mL sample of seawater with a density of 1.025 g/mL? Work = force x distance Power = Work/time Momentum = mass x velocity Density = mass/volume
Force Which of the following weightlifters does the most work on a 100-pound barbell when lifting the barbell over his or her head? A. A weightlifter who is 5 feet 8 inches tall B. A weightlifter who is 6 feet 0 inches tall C. A weightlifter who is 6 feet 2 inches tall D. A weightlifter who is 6 feet 4 inches tall From formula chart Distance
Power = work = force x distance time time To decrease power then work must decrease or time increase. To decrease work you must decrease the force or decrease the distance Which of the following changes would not increase power? • A decrease in the time it takes to do work. • A decrease in the distance over which a force is applied • An increase in the force applied • An increase in the work added From formula chart
When solving a problem--- • First read the problem carefully and list what you know and what you are solving for. • Secondidentify the formula from the formula chart that includes what you are given. • Third Using the triangle method, set up the formula. You may have to rearrange the formula to solve for the unknown quantity.
WHAT FORMULA?? • Get out your white board and a dry erase marker • We will play a game called “What Formula” • When you are shown the problem, look at your formula chart and select the formula you would use to solve the problem • Write the formula on your white board and turn it so your teacher can see it. (You DON’T need to solve the problem)
What Formula? V = d/t Speed = distance traveled/time
What Formula? P=w/t Power = work/time
What Formula? KE = mv2/2 Kinetic Energy = ½ (mass x velocity2)
What Formula? p = m x a Momentum = mass x acceleration
What Formula? V = d/t Speed = distance traveled/time
What Formula? F = m/a Force = mass/ acceleration
What Formula? a = vf-vi/∆t Acceleration = final velocity – initial velocity/ change in time
What Formula? V = d/t Speed = distance traveled/time
What Formula? P=w/t Power = work/time
What Formula? F = m/a Force = mass/ acceleration
What Formula? a = vf-vi/∆t Acceleration = final velocity – initial velocity/ change in time
What Formula? V = d/t Speed = distance traveled/time
Density Foldable We will now make a Density foldable
Density Foldable m=D x v D=m/v V=m/D g=g/cm3 x cm3 g/cm3=g/cm3 Cm3=g/g/cm3