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Today’s Topic Momentum Momentum Momentum is inertia in motion. p = mv p = momentum kg m/s m = mass kg v = velocity m/s Momentum Impulse is the change of momentum. Momentum By increasing the time of contact you will decrease the amount of force from an impact. By decreasing the time of contact you will increase the amount of force from an impact. Momentum If you want to change an object’s momentum you must exert an impulse on the object. If no net force or impulse acts on a system, the momentum of the system can not change. Momentum The Law of Conservation of Momentum In the absence of an external force, the momentum of a system remains unchanged. The total momentum of a system before and after an event is the same. Momentum Elastic Collision – objects hit each other and bounce off (KE conserved) Inelastic Collision – objects hit each other and stick together (KE lost) Momentum A bug hits the windshield of a fast moving car. Are the forces of impact on the bug and the car the same size? Yes Is the impulse on the bug and the car the same size? Yes Momentum A bug hits the windshield of a fast moving car. Are the changes in speed of the bug and the car the same? No Are the changes in momentum of the bug and the car the same size? Yes Momentum Granny is skating and collides with Ambrose who is standing still. After the collision, Granny and Ambrose move together. What is their velocity after the collision? Momentum pG = mG vG pG = (80 kg)(6 m/s) pG = 480 kg m/s pA = mA vA Momentum before pA = (40 kg)(0 m/s) pB = pG + pA pA = 0 kg m/s pB = 480 kg m/s Momentum pB = mafter vafter vafter = pB / mafter vafter = (480 kg m/s)/(80 kg + 40 kg) vafter = (480 kg m/s) / 120 kg vafter = 4 m/s