Calculating Force of a Free Falling Weight: 500 lb Steel Ball

Click For Summary
SUMMARY

The discussion focuses on calculating the force produced by a 500 lb steel ball when dropped from a height of 3 ft, with inquiries about the force at greater heights of 6 ft and 9 ft. The formula for force in this context is derived from the impulse-momentum theorem, specifically considering perfectly elastic collisions. The force can be calculated by determining the change in momentum of the ball divided by the time duration of the collision. The force does not simply double or triple with height; it is determined by the square root of the height due to gravitational acceleration.

PREREQUISITES
  • Understanding of impulse and momentum in physics
  • Knowledge of elastic collisions
  • Familiarity with basic physics formulas
  • Ability to perform calculations involving gravitational acceleration
NEXT STEPS
  • Study the impulse-momentum theorem in detail
  • Learn about perfectly elastic and inelastic collisions
  • Explore gravitational force calculations and their implications
  • Investigate the effects of varying drop heights on impact force
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the dynamics of falling objects and collision forces.

Dale Murphy
Messages
1
Reaction score
0
can someone help me with this.
you have a free falling weight such as a 500 lb. steel ball dropping from 3 ft. How much force will the weight produce in ft. lbs. or tons when hitting the ground. what is the formula for figuring this. Also, will the amount of force double if dropped from 6 ft? Triple from 9 ft.?
Thanks
 
Physics news on Phys.org
this comes under the topic of impulse and collisions.
http://en.wikipedia.org/wiki/Impulse_(physics )
http://en.wikipedia.org/wiki/Collision

here, there are several cases to be considered as in real life. But assuming the collision is perfectly elastic, then the impulse of the ball would be the change in the momentum just before and after the collision. This divided by the fractional time taken for the collision would give you the force.
 
Last edited by a moderator:

Similar threads

  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 3 ·
Replies
3
Views
5K
Replies
8
Views
2K
  • · Replies 28 ·
Replies
28
Views
3K
Replies
26
Views
5K
  • · Replies 26 ·
Replies
26
Views
9K
  • · Replies 16 ·
Replies
16
Views
18K
  • · Replies 11 ·
Replies
11
Views
10K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K