Enduring Understanding:
A force exerted on an object can change the momentum of the object.
ESSENTIAL KNOWLEDGE:
The change in momentum of an object is a vector in the direction of the net force exerted on the object.
The change in momentum of an object occurs over a time interval.
a. The force that one object exerts on a second object changes the momentum of the second object (in the absence of other forces on the second object).
b. The change in momentum of that object depends on the impulse, which is the product of the average force and the time interval during which the interaction occurred.
SCIENCE PRACTICES
Mathematical Routines
2.1 The student can justify the selection of a mathematical routine to solve problems.
Experimental Method
4.1 The student can justify the selection of the kind of data needed to answer a particular scientific question.
4.2 The student can design a plan for collecting data to answer a particular scientific question.
Data Analysis
5.1 The student can analyze data to identify patterns or relationships.
Argumentation
6.4 The student can make claims and predictions about natural phenomena based on scientific theories and models.
Science Processes:
2.1 The student can justify the selection of a mathematical routine to solve problems.
4.1 The student can justify the selection of the kind of data needed to answer a particular scientific question.
4.2 The student can design a plan for collecting data to answer a particular scientific question.
5.1 The student can analyze data to identify patterns or relationships.
6.4 The student can make claims and predictions about natural phenomena based on scientific theories and models.
Learning Objectives
3.D.2.1: Justify the selection of routines for the calculation of the relationships between changes in momentum of an object, average force, impulse, and time of interaction. [SP 2.1] 3.D.2
3.D.2.2: Predict the change in momentum of an object from the average force exerted on the object and the interval of time during which the force is exerted. [SP 6.4]
3.D.2.3 Analyze data to characterize the change in momentum of an object from the average force exerted on the object and the interval of time during which the force is exerted. [SP 5.1]
3.D.2.4 Design a plan for collecting data to investigate the relationship between changes in momentum and the average force exerted on an object over time. [SP 4.2]
In each case, a 0.5 kg projectile moving at 22 m/s strikes a 5 kg cart causing it to move.
Draw a free body diagram for each of the projectile / cart interactions.
Identify the action/ reaction pairs in the interaction between the projectile and cart.
Rank the following situations from greatest to least final velocity of the cart.
Justify your ranking using the concept of ∆p = F∆t = m∆v.