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ENDURING UNDERSTANDING 4.B Interactions with other objects or systems can change the total linear momentum of a system
LEARNING OBJECTIVE
4.B.1.1 Calculate the change in linear momentum of a two-object system with constant mass in linear motion from a representation of the system (data, graphs, etc.). [SP 1.4, 2.2]
4.B.1.2 Analyze data to find the change in linear momentum for a constant-mass system using the product of the mass and the change in velocity of the center of mass. [SP 5.1]
4.B.2.1 Apply mathematical routines to calculate the change in momentum of a system by analyzing the average force exerted over a certain time on the system. [SP 2.2]
4.B.2.2 Perform an analysis on data presented as a force-time graph and predict the change in momentum of a system. [SP 5.1]
ESSENTIAL KNOWLEDGE
4.B.1 The change in linear momentum for a constantmass system is the product of the mass of the system and the change in velocity of the center of mass.
4.B.2 The change in linear momentum of the system is given by the product of the average force on that system and the time interval during which the force is exerted. a. The units for momentum are the same as the units of the area under the curve of a force versus time graph. = b. The change in linear momentum and force are both vectors in the same direction.
Force v. Time Graphs
Force v. Time Graphs
In the graph to the left, a 277 g hockey puck is hit with a hockey stick as shown by the Force-Time Graph shown.
Using the area under the curve, determine the change in velocity of the puck.
Non-Constant Force-time Graphs
Non-Constant Force-time Graphs
In the graph to the right, a 245 g hockey puck is hit with a hockey stick as shown by the Force-Time Graph shown.
Using the area under the curve, determine the change in velocity of the puck.
Sample Multiple Choice Question:
Sample Multiple Choice Question:
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