Linear Momentum II - Weebly

3
Physics 12 Linear Momentum II Learning Targets: I can: โœ“ Use conservation of momentum to solve 2D momentum problems in a closed system Momentum in 2 Dimensions: Since momentum is a ________________ quantity, it can have __________________ in different directions. The key to solving momentum problems in 2 or 3 dimensions is that, in a closed system, momentum must be ______________. In 2 or more dimensions, this means that momentum will neither be gained nor lost in each direction. i.e. in a closed system: = = = There are two main strategies when solving momentum problems in 2 dimensions: 1. Resolve vectors and ensure momentum is conserved in all directions 2. Use Vector Addition to solve problems geometrically. Method 1: Example: A car (1000kg) collides with a stationary truck (1500kg). After the collision, the car bounces off at an angle of 20 degrees and the truck is deflected at an angle of 15 degrees with a velocity of 4m/s in the other direction. Find the magnitude of the carโ€™s velocity of the car after the collision.

Transcript of Linear Momentum II - Weebly

Page 1: Linear Momentum II - Weebly

Physics 12

Linear Momentum II Learning Targets:

I can: โœ“ Use conservation of momentum to solve 2D momentum problems in a closed

system

Momentum in 2 Dimensions: Since momentum is a ________________ quantity, it can have __________________ in different directions. The key to solving momentum problems in 2 or 3 dimensions is that, in a closed system, momentum must be ______________. In 2 or more dimensions, this means that momentum will neither be gained nor lost in each direction. i.e. in a closed system:

๐’‘๐’Š๐’™ = ๐’‘๐’‡๐’™ ๐’‘๐’Š๐’š = ๐’‘๐’‡๐’š ๐’‘๐’Š๐’› = ๐’‘๐’‡๐’›

There are two main strategies when solving momentum problems in 2 dimensions: 1. Resolve vectors and ensure momentum is conserved in all directions 2. Use Vector Addition to solve problems geometrically. Method 1: Example: A car (1000kg) collides with a stationary truck (1500kg). After the collision, the car bounces off at an angle of 20 degrees and the truck is deflected at an angle of 15 degrees with a velocity of 4m/s in the other direction. Find the magnitude of the carโ€™s velocity of the car after the collision.

Page 2: Linear Momentum II - Weebly

Physics 12

Example: A 60kg hockey player travelling at 2m/s towards the north collides with a 50kg player travelling 1m/s towards the west. The two become tangled together. With what velocity will they move after the collision? Method 2 Because momentum is a ________________ quantity, it must follow the rules of vector _______________. We can use these rules to solve problems geometrically: Example: Two dogs Woof (20kg) and Spanky (15kg) are interested in the same ball. Spanky has the ball first (at rest) and Woof comes barreling into Spanky with a velocity of 10m/s. Woof is deflected at an angle of 20ยฐ and spanky is deflected at an angle of 30ยฐ in the opposite direction. Find the magnitude of Spankyโ€™s velocity after the collision.

Page 3: Linear Momentum II - Weebly

Physics 12

Example: Will decides to go to Mars but he decides to take the poorly funded NASA rocket rather than the expensive rocket produced by SpaceX. The 30000kg rocket is experiencing engine problems and stops briefly in space to do some repairs. Suddenly, it explodes into three pieces as seen in the diagram below. Find the velocity of all 3 pieces.