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A 61 kg lumberjack stands on a 320 kg log that floats on a pond

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Presentation on theme: "A 61 kg lumberjack stands on a 320 kg log that floats on a pond"— Presentation transcript:

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2 A 61 kg lumberjack stands on a 320 kg log that floats on a pond
A 61 kg lumberjack stands on a 320 kg log that floats on a pond. Both the lumberjack and the log are initially at rest. The log points towards the shore, which we take to be the +x axis. If the lumberjack now trots along the log towards the shore with a speed v relative to the shore, the log moves away from the shore. The speed of the log relative to the shore is… A) greater than v B) less then v C) equal to v

3 I.e., Momentum (of the system) is conserved during a collision
Collisions We are going to assume that collisions happen fast enough that any external forces can be ignored. I.e., Momentum (of the system) is conserved during a collision

4 A collision is “inelastic” if kinetic energy is NOT conserved
Inelastic collision: A collision is “inelastic” if kinetic energy is NOT conserved

5 A collision is “inelastic” if kinetic energy is NOT conserved
Inelastic collision: A collision is “inelastic” if kinetic energy is NOT conserved A collision is “completely inelastic” if the two objects stick together

6 A collision is “inelastic” if kinetic energy is NOT conserved
Inelastic collision: A collision is “inelastic” if kinetic energy is NOT conserved A collision is “completely inelastic” if the two objects stick together In that case, the maximum amount of kinetic energy is lost

7 What is the final velocity of the pair of cars?
A railroad car of mass m and speed v1,i collides with and sticks to an identical railroad car that is initially at rest. What is the final velocity of the pair of cars?

8 A railroad car of mass m and speed v1,i collides with and sticks to an identical railroad car that is initially at rest. After the collision, the kinetic energy of the system is _____ of its initial kinetic energy. A) 1/2 B) 1/3 C) 1/4

9 On a touchdown attempt, a 95
On a touchdown attempt, a 95.0 kg running back runs toward the end zone at 3.75 m/s. A 111 kg linebacker moving at 4.10 m/s meets the runner in a head-on collision. If the two players stick together, (a) What is their velocity immediately after the collision? (b) What are the initial and final kinetic energies of the system?

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11 A collision is “elastic” if kinetic energy IS conserved
Elastic collision: A collision is “elastic” if kinetic energy IS conserved Note that momentum is conserved in all collisions

12 A collision is “elastic” if kinetic energy IS conserved
Elastic collision: A collision is “elastic” if kinetic energy IS conserved Note that momentum is conserved in all collisions (Also note that “elastic collision” is like “frictionless surface” and “massless string”)

13 A collision is “elastic” if kinetic energy IS conserved
Elastic collision: A collision is “elastic” if kinetic energy IS conserved Note that momentum is conserved in all collisions A good example is billiard balls – a close approximation to a truly elastic collision There are also a lot of complications (friction, spin, etc.)

14 So we’re going to take the easy approach…
No complications – no friction, no spin And we’re going to focus on a specific situation: Cart 2 is initially at rest


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