Help with change in internal energy for a real system.

AI Thread Summary
Tarzan, with a mass of 110 kg, drops from a height of 3.0 m, reaching a speed of 6.261 m/s just before hitting the ground. The discussion focuses on calculating the net change in internal energy as he transitions from falling to a crouched position at a height of 0.5 m. While the kinetic energy is straightforward for the point particle system, the real system requires consideration of energy exerted to stop his fall. The participant is uncertain about how to approach the internal energy change, emphasizing the need to factor in both kinetic and potential energy. Understanding the difference between the point particle and real system calculations is crucial for solving the problem accurately.
guitarguy1
Messages
13
Reaction score
0

Homework Statement



Tarzan, whose mass is 110 kg, is hanging at rest from a tree limb. Then he let's go and falls to the ground. Just before he let's go, his center of mass is at a height 3.0 m above the ground and the bottom of his dangling feet are at a height 2.0 above the ground. When he first hits the ground he has dropped a distance 2.0, so his center of mass is (3.0 - 2.0) above the ground. Then his knees bend and he ends up at rest in a crouched position with his center of mass a height 0.5 above the ground.
(a) Consider the point particle system. What is the speed v at the instant just before Tarzan's feet touch the ground?
(b) Consider the real system. What is the net change in internal energy for Tarzan from just before his feet touch to the ground to when he is in the crouched position?

Homework Equations



Fnet x distance = 1/2mv^2

The Attempt at a Solution



Part (a) was easy. I got 6.261 m/s. I'm having trouble with part (b). I at first thought it might be 0 J since it asks to consider the real system rather than point particle system, but that's not right. I understand that its just the energy exerted to bring him to a stop, but I'm not really sure what to do here.
 
Physics news on Phys.org
Not 100% sure, but I think you just consider the kinetic and potential energy.
 
Redbelly98 said:
Not 100% sure, but I think you just consider the kinetic and potential energy.

alright. But, I'm having trouble calculating the kinetic energy since this is for a real system whereas the other value i calculated was the velocity for the point-particle system.
 
The velocity of the center-of-mass would be used for either the point particle or the real system.
 
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