What is the speed with which she lands?

  • Thread starter Thread starter kokenwa
  • Start date Start date
  • Tags Tags
    Speed
AI Thread Summary
To determine the landing speed of a pole-vaulter who reaches a height of 6.0 meters, the law of conservation of energy can be applied. At the peak height, all kinetic energy is converted to potential energy, which can be calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. As the vaulter falls, this potential energy converts back to kinetic energy, allowing the calculation of landing speed using KE = 0.5mv². By equating potential energy at the height to kinetic energy just before landing, the speed can be derived. The final speed upon landing is approximately 10.8 m/s.
kokenwa
Messages
10
Reaction score
0
A pole-vaulter of mass 60kg vaults to a height of 6.0m before dropping to thick padding placed below to cushion her fall. What is the speed with which she lands?


-I know it has something to do with momentum, but I don't even know where to begin on this one
 
Physics news on Phys.org
Consider neglecting air resistance and using the law of conservation of energy
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top