Power Output Problem: Help Solving Rope Climb Challenge

AI Thread Summary
To solve the rope climb challenge, the athlete's gravitational potential energy must be calculated using the formula mgh, where m is the mass (68.4 kg), g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height climbed (4.76 m). After determining the gravitational potential energy, divide this value by the time taken (8.38 seconds) to find the average power output. The discussion emphasizes understanding the relationship between energy and power in this context. Participants are encouraged to clarify their steps in the calculation process. This approach allows for an accurate determination of the minimum power output required for the climb.
bulldog23
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Homework Statement



In the rope climb, a 68.4kg athlete climbs a vertical distance of 4.76m in 8.38s. What minimum power output was used to accomplish this feat?


Homework Equations


P_av=delta W/delta t
P=dW/dt
P=F*v


The Attempt at a Solution


Can someone help me get started on this problem, I don't know where to begin?
 
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Find the change in energy... use gravitational potential energy... then divide by time to get power.
 
How do you figure out gravitational potential energy?
 
bulldog23 said:
How do you figure out gravitational potential energy?

gravitational potential energy = mgh
 
Oh ok, thanks man!
 

Thread 'Errors and significant figures'

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...
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Thread 'A cylinder connected to a hanging mass'

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...
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