Energy required to accelerate a mass

AI Thread Summary
To calculate the energy required to accelerate a mass during a nova outburst, the kinetic energy formula (1/2 mv^2) is applicable. For a mass of 1E-5 M_sun and a velocity of 1000 km/s, the kinetic energy can be directly computed without needing integration. The discussion highlights uncertainty about when integration is necessary, but in this case, it is not required. The focus remains on applying the kinetic energy formula for the given parameters. Understanding the context of the problem clarifies the approach needed for the calculation.
Stellar1
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Homework Statement


1-Calculate the energy (1/2 mv^2) for each of the following:
a) a nova outburst that accelerate a mass of 1E-5 M_sun to
a velocity of 1000 km/s


Homework Equations


1/2 mv^2


The Attempt at a Solution



Now, here's what I am unsure of. Do I just take the kinetic energy, or, do I have to do some strange integral? I'm still not very comfortable with integration and am unsure of when to use it.
 
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I'd say just take the kinetic energy as asked.
 

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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