Newton's Second Law finding value of force problem

Click For Summary

Homework Help Overview

The problem involves calculating the force exerted by a soccer ball upon impact with a rock, given its mass, initial speed, and contact time. The subject area relates to Newton's Second Law and concepts of momentum.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to calculate acceleration for the force equation. Some participants suggest using momentum and time as an alternative approach.

Discussion Status

Participants are exploring different definitions of force, particularly in relation to momentum. There is an acknowledgment of the relationship between momentum and force, and some guidance has been provided regarding the calculations involved.

Contextual Notes

There is a discussion about the assumptions regarding the ball's velocity before and after contact with the rock, as well as the implications of the time of contact on the calculations.

goomer
Messages
31
Reaction score
0

Homework Statement



If a soccer ball of mass 0.5 kg is kicked with a speed of 14 m/s and hits a rock and is in contact with it for 0.18 seconds, with what force will it hit?

Homework Equations



Fnet = ma

The Attempt at a Solution



I have no idea what to do to get the acceleration for the above formula. It can't possibly be just 14/0.18 can it?
 
Physics news on Phys.org
Force can also be defined in terms of momentum and time. What is it, and can you use that in this problem?
 
Oh I see, so:

Force = Momentum/Time

Momentum = Mass * Velocity = 0.5 kg * 14 m/s = 7

Force = 7/0.18 s = 38.9N right?
 
goomer said:
Oh I see, so:

Force = Momentum/Time

Momentum = Mass * Velocity = 0.5 kg * 14 m/s = 7

Force = 7/0.18 s = 38.9N right?

Yep! :approve:

Force is actually the change in momentum per unit time. But since the ball was in contact with the stone for that time, and its velocity was zero then, your equation worked out.
 
Thank you so much for your help!
 

Similar threads

Replies
9
Views
2K
Replies
44
Views
4K
Replies
13
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 6 ·
Replies
6
Views
6K
  • · Replies 42 ·
2
Replies
42
Views
6K
  • · Replies 5 ·
Replies
5
Views
4K