ENERGY AND MOMENTUM: Elastic Collision Determination ( Part 2 )

Q: An elastic collision occurs between two objects of mass ( m1 ) and ( m2 ). Prior to the collision, mass ( m2 ) is stationary and approached by ( m1 ) with a velocity ( v1 ). If only the values of ( m1 ), ( m2 ), and ( v1 ) areContinue reading “ENERGY AND MOMENTUM: Elastic Collision Determination ( Part 2 )”

ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 3 )

Q: Consider a system in which a mass ( m1 = 6kg ) moves in the +x-direction at ( 2 m/s ) as a mass ( m2 = 2kg ) moves in the -x-direction at ( – 4 m/s ): How may we use the center of mass ( c.o.m. ) of this system toContinue reading “ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 3 )”

ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 2 )

In Part 1 of this entry, it was determined that the center of mass between objects moving with constant velocities is also constant ( vcm ): We will now use mass ( kg ) and instantaneous-distance coordinates along ( x ) to determine the system’s center of mass. Let’s begin using the x-coordinates of (Continue reading “ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 2 )”

ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 1 ) 

A system’s center of mass is the location where the average mass distribution of the system is located. Consider a system in which two equal masses rest at the ends of a balance: The sum of torques acting upon the system is zero, and it will remain in static equilibrium until acted upon by anContinue reading “ENERGY AND MOMENTUM: Elastic Collisions and the Center of Mass Velocity ( Part 1 ) “

ENERGY AND MOMENTUM: Final Velocity of Target and Projection After Elastic Collision ( Part 1 )

Q: Within a given system, a projectile moves with a constant velocity ( v1 ) prior to colliding with a stationary target of equal mass ( m1 = m2 ). Since the system is isolated from outside forces, momentum ( p ) and kinetic energy ( KE ) both are conserved during the collision. (Continue reading “ENERGY AND MOMENTUM: Final Velocity of Target and Projection After Elastic Collision ( Part 1 )”

ENERGY AND MOMENTUM: What is the Initial Velocity of the Marble?

Q: A collision occurs between two marbles of equal mass ( m1 = m2 ). Marble ( m2 ) is initially at rest, and ( m1 ) travels with a velocity ( v1 ). After colliding, ( m2 ) acquires a velocity ( v2′y ) of 1.10 m/s and travels 400 from the original lineContinue reading “ENERGY AND MOMENTUM: What is the Initial Velocity of the Marble?”

ENERGY AND MOMENTUM: A Windy Day at the Lake

Q: Wind blows a 43.0 kg raft across a lake at 1.1 m/s northward relative to the water underneath. It carries a passenger whose mass is 38.0 kg. The passenger begins to walk westward at 0.71 m/s. What is the final velocity of the raft relative to the water? A: We first determine the momentumContinue reading “ENERGY AND MOMENTUM: A Windy Day at the Lake”