Calculate the percentage increase in mass

  • Thread starter Thread starter ASidd
  • Start date Start date
  • Tags Tags
    increase Mass
AI Thread Summary
To calculate the percentage increase in mass of an Apollo rocket escaping Earth's gravity at 11.2 km/s, the relevant equations include E=mc² and mv=mo/sqrt(1-v²/c²). The proper mass (mo) and the mass relative to a stationary frame (mv) are essential for the calculation. The percentage increase formula is given by (mv - mo)/mo * 100%. The discussion highlights confusion around how to apply these equations to determine the mass increase during the rocket's escape.
ASidd
Messages
72
Reaction score
0

Homework Statement


Calculate the percentage increase in the mass of an apollo rocket as it escapes from the Earth's gravity at 11.2 kps


Homework Equations



11.2 kps = 11, 200 m/s

E= mc^2

mv= mo/ sqrt (1- v^2/c^2)

mv= mass of the object relative to stationary frame
mo= proper mass
v= velocity of the object

The Attempt at a Solution


No idea how to do this
 
Physics news on Phys.org
Percentage increase is ## \frac {m_v - m_0} {m_0} 100 \%##.
 

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...
View full post »
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...
View full post »

Similar threads

Calculating Escape Velocity for Earth: Where Am I Going Wrong?
Replies
2
Views
2K
How to calculate velocity of infinite-stage rocket?
Replies
2
Views
1K
A falling rotating rod strikes a ball of mass M....
Replies
13
Views
2K
What's the source of increase in rotational energy of carousel?
Replies
9
Views
2K
Why does increasing mass also increase kinetic energy and velocity?
Replies
3
Views
1K
A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
Replies
39
Views
3K
Rotational period for constant mass but different volume
Replies
22
Views
2K
Find the speed of a satellite at a distance R from Earth
Replies
39
Views
4K
Relativity and Equivalence of Mass and Energy
Replies
5
Views
1K
Rocket Launch: Achieving Escape Velocity w/ Fuel-Mass Ratio of 300
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top