Two towers different heights -- what should Heights be so impact velocity is 3x larger

  • #1

Homework Statement


(I don't remember the EXACT problem because it was in an exam I took a few days ago but it was something like: If we drop the same object off of two towers, what does the height of Tower2 need to be if we want the object to fall is a velocity 3 times greater than the object falling off of tower1?

Homework Equations




The Attempt at a Solution


What I used was the vf^2 = vi^2 + 2ad and solved for d. (vf^2-vi^2)/2a = d and if vi = 0 then d=vf^2/2a

so the Height of tower 2 would have to be d=(3*vf^2)/2a, right?
 

Answers and Replies

  • #2
NascentOxygen
Staff Emeritus
Science Advisor
9,244
1,072
Close.

The question you are answering is: if the height of tower #1 is d meters, then what height does tower #2 need to be for the mass to reach triple the speed?
 
  • #3
Close.

The question you are answering is: if the height of tower #1 is d meters, then what height does tower #2 need to be for the mass to reach triple the speed?
yes when it hits the ground
 
  • #4
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,668

Homework Statement


(I don't remember the EXACT problem because it was in an exam I took a few days ago but it was something like: If we drop the same object off of two towers, what does the height of Tower2 need to be if we want the object to fall is a velocity 3 times greater than the object falling off of tower1?

Homework Equations




The Attempt at a Solution


What I used was the vf^2 = vi^2 + 2ad and solved for d. (vf^2-vi^2)/2a = d and if vi = 0 then d=vf^2/2a

so the Height of tower 2 would have to be d=(3*vf^2)/2a, right?
If vf1 is the velocity of something dropped off Tower 1, then the velocity of something dropped off Tower 2, vf2 = 3 * vf1. That's how you write triple the first speed.
 
  • #5
NascentOxygen
Staff Emeritus
Science Advisor
9,244
1,072

Related Threads on Two towers different heights -- what should Heights be so impact velocity is 3x larger

Replies
4
Views
680
Replies
5
Views
612
Replies
8
Views
1K
Replies
2
Views
2K
Replies
8
Views
6K
  • Last Post
Replies
9
Views
16K
Replies
13
Views
896
Replies
1
Views
621
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
1
Views
3K
Top