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Momentum and Impulse. Inertia In Motion. Which is harder to stop? A car moving at 25 m/s A bicycle moving at 25 m/s Why is it harder to stop?. Momentum. Momentum can be defined as the measurement of how difficult it is to change the motion of an object. Mathematically:
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Inertia In Motion • Which is harder to stop? • A car moving at 25 m/s • A bicycle moving at 25 m/s • Why is it harder to stop?
Momentum • Momentum can be defined as the measurement of how difficult it is to change the motion of an object. • Mathematically: • Momentum = (mass) * (velocity)
Which has more momentum? A sumo wrestler running towards you? A ballerina running towards you at the same speed?
Calculating momentum • What is the momentum of a 10 kg bowling ball rolling at 4 m/s? • Momentum = (mass) * (velocity) • Momentum = (10 kg) * (4 m/s) • Momentum = 40 kg*m/s
Units for momentum • The units for momentum are (kg*m/s). • The units are not abbreviated into any other form (unlike Newtons)
Changing momentum • If the momentum of an object changes, then either the mass, velocity or both has changed. • Usually, the mass of an object remains the same, so it’s the velocity that is changing. • What is the quantity that measures the change in velocity?
Change in momentum continued • What causes an acceleration? • Therefore, the greater the force on an object, the greater the change in momentum. • Now for a little bit of math…
Newton’s 2nd Law Change in momentum Force = mass acceleration * * Time Force*Time is also known as “Impulse”
Impulse • A force can be used to change an object’s motion. • Impulse is how quickly or slowly that change in momentum occurs. • The amount of time it takes to change the object’s motion is called impact.
Increasing momentum • Force*Time = change in momentum • To get the greatest change in momentum, you need a greater force acting for a longer period of impact time. • Example: hitting a golf ball - http://www.youtube.com/watch?v=2Y57pw_iWlk • Example: Hitting a baseball with a metal bat.
Decreasing momentum • This is the situation where you are trying to STOP something from moving. (change the momentum to zero) • Force * Time = change in momentum • Suppose an object has very high momentum • How can we decrease the force the object will feel when we try to stop the object?
Decreasing momentum examples • Bungee jumping • Air bags • Boxing glove • Baseball glove • Pole vault mats • Catching a lacrosse ball
Calculating Impulse • An 8kg bowling ball traveling at 4 m/s rolls into a pillow and stops in 2 seconds. Calculate the force the pillow exerts on the bowling ball. • Force*Time = change in momentum • Force*Time = mass*velocity • Force*(2 seconds) = (8kg)*(4m/s) • Force*(2 seconds) = 32 (kg*m/s) • Force = 16 Newtons