Grade 7 Forces & equilibrium worksheet in three levels
The same 20-question worksheet on forces & equilibrium in Support, Core and Challenge versions. Question by question, each version keeps the topic and changes the difficulty.
Easier questions on the same topics, for students who need more practice with the basics.
Questions
20 (20 medium)
Grade range
Grades 6 to 10
Topics
Forces & equilibrium
Sample questions
A 7 kg cart has horizontal forces 29 N right and 6 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
A 7 kg cart has horizontal forces 103 N right and 26 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
A 11 kg cart has horizontal forces 99 N right and 11 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
Core
Questions at the expected level for the grade.
Questions
20 (20 medium)
Grade range
Grades 6 to 10
Topics
Forces & equilibrium
Sample questions
A 10 kg cart has horizontal forces 17 N right and 13 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
A 13 kg cart has horizontal forces 117 N right and 75 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
A 12 kg cart has horizontal forces 108 N right and 38 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².
Challenge
Harder questions on the same topics, for students who are ready to stretch.
Questions
20 (20 challenge)
Grade range
Grades 9 to 12
Topics
Forces & equilibrium
Sample questions
A crate on a frictionless surface has two horizontal forces on it: 85 N toward the east and 35 N toward the west. (Vertical forces balance.) What is the size of the net force on the crate?
An ideal spring obeys F = kx with k = 260 N/m. A force of 66 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.
Two perpendicular forces of 472 N and 885 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
Using the three versions
Start everyone with the same short explanation, then hand out Support, Core or Challenge.
Question numbers line up across the versions, so you can go through the answers with the whole class.
The PDF has a cover page and each version on its own pages; the answer keys PDF has all three keys.