Calculating the Physics Behind Super-Bouncy Shoes

  • Thread starter Thread starter quarktacular
  • Start date Start date
  • Tags Tags
    Physics
AI Thread Summary
The discussion revolves around calculating the physics of a hypothetical scenario involving super-bouncy shoes allowing a person to leap 100 meters. Participants emphasize the unrealistic nature of achieving such a leap, questioning the feasibility of the required initial speed. They suggest treating the problem similarly to projectile motion, noting that it involves calculating initial speed, time of flight, and optimal jumping angle. The conversation highlights the importance of applying equations of motion and polar coordinates to solve the problem. Ultimately, the consensus is that the physics behind the leap mirrors that of launching a projectile, despite the initial skepticism about the scenario's plausibility.
quarktacular
Messages
2
Reaction score
0
Suppose a person who wears a pair of super-bouncy shoes is able to cover a distance of 100 metres with one leap. Calculate the
a) minimum initial speed he/she would have to achieve
b) time taken for him/her to complete his/her leap with the above speed
(Neglect air resistance.)



Homework Equations





The answer to the initial speed question is most probably unrealistic as it is humanly impossible to complete a 100 metre leap of that sort. I'm lost for an answer so any help would be greatly appreciated. Thanks!
 
Physics news on Phys.org
quarktacular said:
it is humanly impossible to complete a 100 metre leap of that sort.
Yea, the shoe thing is kinda dumb.
Calculate the a) minimum initial speed ... b) time taken
You should also find the jumping angle that corresponds to the minimum initial speed. This is a classic artillery problem.

Work out the equations of motion for both axes; solve them at the landing point; eliminate time from the equations; convert to polar coordinates; solve for the initial speed; differentiate with respect to the jumping angle; and find where the derivative is zero.
 
Welcome to PF!

Hi quarktacular! Welcome to PF! :smile:
quarktacular said:
Suppose a person who wears a pair of super-bouncy shoes is able to cover a distance of 100 metres with one leap. Calculate the
a) minimum initial speed he/she would have to achieve
b) time taken for him/her to complete his/her leap with the above speed
(Neglect air resistance.)

mmm … it's the same question as "suppose you want to shoot a person out of a cannon 100 metres …" :wink:

happier now? :smile:​
 


tiny-tim said:
Hi quarktacular! Welcome to PF! :smile:


mmm … it's the same question as "suppose you want to shoot a person out of a cannon 100 metres …" :wink:

happier now? :smile:​

Thanks for the welcome! Happier that at least someone gave the question a try but the thing is, it's not the same question. Trust me, it's not. My teacher keeps on telling me that it's do-able in the shoe context but seriously, I really don't know how he does it.
 


quarktacular said:
Trust me, it's not.

Trust us - it is. It is the same combination of initial angle and speed.
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Question - Circular motion amusement park physics
Replies
18
Views
7K
Physics-Friendly Super-Speedster
Replies
3
Views
2K
Calculating Projectile Motion and Forces in Men's Hammer Throw Event
Replies
3
Views
3K
How Do You Calculate the Young's Modulus of Spiderman's Webs from Spiderman 2?
Replies
3
Views
5K
Woman's Amazing Fall: Calculating Speed & Acceleration
Replies
11
Views
12K
Storing Energy Away From Society: Can We Calculate It?
Replies
10
Views
5K
How Fast Must Bruce Throw the Bagels for Henrietta to Catch Them?
Replies
2
Views
6K
How Can I Calculate Displacements and Speeds for My Physics Exam?
Replies
11
Views
6K
Need Help w/ Some Rotational Physics
Replies
3
Views
4K
Physics Final-Multiple Problems-Help
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top