How Much Does Gravity Affect Weight on Mercury?

AI Thread Summary
The acceleration due to gravity on Mercury can be calculated using the formula g = G * M / r^2, where G is the gravitational constant, M is Mercury's mass, and r is its radius. This results in a gravity of approximately 3.7 m/s² on Mercury. A person weighing 5.94 kg on Earth would weigh significantly less on Mercury due to this lower gravity, specifically about 22.0 N. The Law of Gravitation states that every point mass attracts every other point mass in the universe, and Newton's second law relates force to mass and acceleration. Understanding these principles is essential for calculating weight on different celestial bodies.
Bigdane
Messages
14
Reaction score
0
Mercury has a mass of 3.30 x10^23 kg and a radius of 2.44 x10^6 m.
(a) What is the acceleration due to gravity on Mercury?
m/s2

(b) How much would a 5.94 kg person weigh on this planet?
Ni honestly have no idea how to do this... help please!
 
Physics news on Phys.org
What is the Law of Gravitation?

What is Newton's second law?
 
thanks
 
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