Fields and Schwartzchild radius for a black hole

AI Thread Summary
The discussion centers on calculating the mass required to create a black hole with a Schwarzschild radius of 1.0 meter. The correct formula for escape velocity is V^2 = (2GM)/r, which was highlighted as a correction to the initial attempt. The mass of the Earth, approximately 6.0 x 10^24 kg, is questioned regarding its sufficiency for this purpose. Participants emphasize the importance of using the correct equations to determine the necessary mass for the desired radius. Accurate calculations are crucial for understanding black hole physics.
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Homework Statement


The Schwartzchild radius for a black hole is the distance from the singularity of the black hole at which the escape velocity is the speed of light. You wish to create a black hole, with radius of only 1.0m for personal research. How much mass would this required? Would the mass of the earth, 6.0 x 10^24 kg do the job?



Homework Equations


V^2 = GMe/Re

The Attempt at a Solution


I tried using the above equation to find the M, but that was not the right answer...
 
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Your formula is incorrect, V2 = (2GM)/r.
 
And then I solve for m?
 

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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