Impulse and Force-Time Graph Problem

  • Thread starter Thread starter jmm
  • Start date Start date
  • Tags Tags
    Graph Impulse
Click For Summary
SUMMARY

The discussion centers on calculating the maximum force (Fmax) required to achieve an impulse of 7.1 Ns using a force-time graph. The impulse is defined as the area under the force-time graph, specifically calculated as the area of a triangle: 0.5 * Fmax * 8s. The initial calculation yielded Fmax = 1.775 N, but the user identified an error due to the time axis being in milliseconds, which necessitates a conversion to seconds for accurate results.

PREREQUISITES
  • Understanding of impulse and momentum principles
  • Knowledge of force-time graphs
  • Familiarity with basic calculus concepts, specifically integration
  • Ability to convert units, particularly time from milliseconds to seconds
NEXT STEPS
  • Review the concept of impulse in physics and its mathematical representation
  • Study the calculation of areas under curves, particularly triangles in force-time graphs
  • Learn about unit conversions in physics, focusing on time
  • Explore common mistakes in impulse calculations and how to avoid them
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in mastering impulse calculations in force-time graphs.

jmm
Messages
26
Reaction score
0

Homework Statement


09.EX05.jpg

In the figure , what value of Fmax gives an impulse of 7.1 Ns


Homework Equations


1832c91daa867136732d31cc7c988eb0.png



The Attempt at a Solution


Impulse is the integral of force with respect to time which is the same the area under the force-time graph which is given by the area of the triangle: 0.5*Fmax*8s

7.1 Ns = 4s * Fmax
Fmax = 1.775 N

However that's not the right answer. Where did I go wrong? Thanks!
 
Physics news on Phys.org
The time axis is in milliseconds.
 
Haha thanks! I never would've noticed that.
 

Similar threads

  • · Replies 18 ·
Replies
18
Views
3K
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
4K