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Fnet = m•a - Questions

The Fnet = m•a Concept Builder includes a total of nine different Question Groups spread across three different difficulty levels. Questions in the same group are similar to one another in one way or another. The Concept Builder presents the learners with a target acceleration for a specified mass. The values of the acceleration are randomly selected from a narrow set of options. The value of the mass is set to 1-kg in the first Activity (easiest difficulty level) and selected at random from the possible values of 2-kg, 3-kg, 4-kg, and 5-kg in the second and third Activities (mid-range and most challenging difficulty levels).

There are three levels of difficulty by which the student can progress through the Concept Builder. Those three difficulty levels are differentiated as follows:
 
  • Apprentice Level: Question Groups 1-3. Mass is set to 1-kg. Accelerations are along the axes.
  • Masters Level: Question Groups 4-6. Mass is randomly selected. Accelerations along the axes.
  • Wizard Level: Question Groups 7-9. Mass is randomly selected. Accelerations are at angles to the axes.

The questions from each group are shown below, though actual values can vary since the accelerations and masses that are presented to the student are selected at random from a set of options. Teachers are encouraged to view the questions in order to judge which level of difficulty is most appropriate for their classes. We recommend providing students two or more options. For instance, it would be profitable for a student to complete the Concept Builder at the Apprentice Level in order to gain some confidence and then to be challenged to complete the activity at the Masters Level.

The Physics Classroom grants teachers and other users the right to print these questions for private use. Users are also granted the right to copy the text and modify it for their own use. However, this document should not be uploaded to other servers for distribution to and/or display by others. The Physics Classroom website should remain the only website or server from which the document is distributed or displayed. We also provide a PDF that teachers can use under the same conditions. We have included a link to the PDF near the bottom of this page.

 

 

Fnet = m•a

 
NOTE: These questions are representative of the types of values students will be presented with. Actual values are randomly selected from a narrow set of possibilities.
 
 
Apprentice Level
Question Group 1
Question 1:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have an eastward acceleration of 2.0 m/s/s.
 
 
 
Question 2:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a westward acceleration of 2.0 m/s/s.
 
 

Question 3:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a northward acceleration of 3.0 m/s/s.
 
 
 
Question 4:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-k gobject to have a southward acceleration of 2.0 m/s/s.
 
 
 

Question Group 2
Question 5:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have an eastward acceleration of 4.0 m/s/s.
 
 
Question 6:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a westward acceleration of 4.0 m/s/s.
 
 

Question 7:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a northward acceleration of 4.0 m/s/s.
 
 
 
Question 8:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a southward acceleration of 4.0 m/s/s.
 
 
 

Question Group 3
Question 9:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have an eastward acceleration of 6.0 m/s/s.
 
 

Question 10:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a westward acceleration of 6.0 m/s/s.
 
 
 
Question 11:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a northward acceleration of 6.0 m/s/s.
 
 
Question 12:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 1.0-kg object to have a southward acceleration of 6.0 m/s/s.
 
 
 
 
Master Level
Question Group 4
Question 13:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have an eastward acceleration of 3.0 m/s/s.
 
 

Question 14:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have a westward acceleration of 3.0 m/s/s.
 
 

Question 15:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have a northward acceleration of 2.0 m/s/s.
 
 

Question 16:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have a southward acceleration of 2.0 m/s/s.
 
 
 
 
Question Group 5
Question 17:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have an eastward acceleration of 2.0 m/s/s.
 

Question 18:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have a westward acceleration of 4.0 m/s/s.
 
 

Question 19:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have a northward acceleration of 2.0 m/s/s.
 
 

Question 20:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have a southward acceleration of 4.0 m/s/s.
 
 
 
 
Question Group 6
Question 21:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have an eastward acceleration of 4.0 m/s/s.
 
 

Question 22:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have a westward acceleration of 3.0 m/s/s.
 
 
 
Question 23:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have a northward acceleration of 4.0 m/s/s.
 


Question 24:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have a southward acceleration of 3.0 m/s/s.
 
 
 
 
Wizard Level
Question Group 7
Question 25:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have an eastward acceleration of 5.0 m/s/s and a northward acceleration of 3.0 m/s/s.
 
 

Question 26:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have a westward acceleration of 5.0 m/s/s and a southward acceleration of 3.0 m/s/s.
 
 
 
Question 27:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have an eastward acceleration of 3.0 m/s/s and a southward acceleration of 5.0 m/s/s.
 
 

Question 28:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 2.0-kg object to have a westward acceleration of 3.0 m/s/s and a northward acceleration of 5.0 m/s/s.
 
 
 
 
Question Group 8
Question 29:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have an eastward acceleration of 2.0 m/s/s and a northward acceleration of 4.0 m/s/s.
 
 
 
Question 30:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have a westward acceleration of 2.0 m/s/s and a southward acceleration of 4.0 m/s/s.
 
 

Question 31:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have an eastward acceleration of 4.0 m/s/s and a southward acceleration of 2.0 m/s/s.
 
 
 
Question 32:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 3.0-kg object to have a westward acceleration of 4.0 m/s/s and a northward acceleration of 2.0 m/s/s.
 
 
 
 
 
Question Group 9
Question 33:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have an eastward acceleration of 3.0 m/s/s and a northward acceleration of 1.0 m/s/s.
 
 
 
Question 34:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have a westward acceleration of 3.0 m/s/s and a southward acceleration of 1.0 m/s/s.
 
 
 
Question 35:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have an eastward acceleration of 1.0 m/s/s and a southward acceleration of 3.0 m/s/s.
 
 
 
Question 36:
Adjust the two east-west and two north-south forces of the Force Diagram in order for the 4.0-kg object to have a westward acceleration of 1.0 m/s/s and a northward acceleration of 3.0 m/s/s.