What Is the Maximum Force Exerted by the Floor on the Ball?

AI Thread Summary
The discussion revolves around calculating the maximum force exerted by the floor on a rubber ball dropped from a height of 1.8 meters, which rebounds to two-thirds of its initial height. A participant initially calculated the maximum force as 0.176 N using impulse equations but encountered errors in their calculations, particularly in determining the velocity and time. Another contributor pointed out that the velocity should be derived from the height fallen using the equation V² = 2gh, which would provide the correct ΔV for the calculations. The conversation highlights the importance of accurately calculating the velocity and understanding the impulse-momentum relationship in solving the problem. Ultimately, the participants are working towards clarifying the correct approach to find the maximum force.
julz3216
Messages
18
Reaction score
0

Homework Statement



A 41 rubber ball is dropped from a height of 1.8 and rebounds to two-thirds of its initial height.
http://session.masteringphysics.com/problemAsset/1070447/4/09.P29.jpg
The figure (Part C figure) shows the impulse received from the floor. What maximum force does the floor exert on the ball?
t=5ms

Homework Equations



change in p = F*change in time
F=ma

The Attempt at a Solution



I tried and got Fmax = .176 by plugging into the 1st equation for impulse
 
Physics news on Phys.org
If you solved the other problem you posted you should know how to solve this so long as you calculated your Impulse correctly from the info given.
 
So I tried to do F*change in t = change in m*v but it didn't work. i calculated velocity by doing change in d/ change in t. i used 2.5 for t because that is where fmax occurs and i also used d as 1.8 because that is the distance the ball travels in 2.5 seconds

so i got v=.72 and then mv=.029
so 2.5F = .029
F = .0116

and that was wrong. so i don't really know what to do?
 
julz3216 said:
So I tried to do F*change in t = change in m*v but it didn't work. i calculated velocity by doing change in d/ change in t. i used 2.5 for t because that is where fmax occurs and i also used d as 1.8 because that is the distance the ball travels in 2.5 seconds

so i got v=.72 and then mv=.029
so 2.5F = .029
F = .0116

and that was wrong. so i don't really know what to do?

Where did you get v = .72 from? It fell 1.8m

V2 = 2*9.8*1.8m

How fast does it bounce back?

Isn't that going to give you the ΔV that you want to use?

The 2.5 ms* Fmax looks ok though.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.

Similar threads

Replies
13
Views
8K
Replies
2
Views
2K
Replies
1
Views
2K
Replies
19
Views
2K
Replies
10
Views
3K
Back
Top