His physical law of gravity states that an object attracts another object in direct proportion to their combined mass and inversely related to the square of the distance between them. How can you prove that without modern science?
Despite all his fat revealed in his new portrait, he managed to achieve considerable success in mountaineering
I'd be scared of Hyperborea now, if Velimir has whole country to fuel his pagan magic, he'd just cast a spell and destroy G*rms in one second.
I need help. I can't seem to understand what my teacher is trying to point out or ask me.
http://imgur.com/a/7ZuXXwD
I've seen my professor interchangeably use F = GMm/r^(2) and F = -GMm/r^(2). When do you use one or the other? Does it depend on the direction of the force?
I just realized that most kids experienced Newton's law of universial gravitation the hard way, literally, by falling face first into the ground. So literally anyone could have figured out gravity If you think about It. Isaac Newton was just the first person to not lose the required braincells to make a formula about It.
I E A T M Y O W N W A S T E
Got a problem with the solution given by an exam (you can skip to the end if you want to.)
Problem:
The astronaut Bob wears a spacesuit. On his bathroom scale at home he weights in at 158kg. Bob now travels to the moon and uses the same scale there. How much does Bob weigh on the moon?
Well I did:
Bob on earth :
W_earth ; bob's weight on earth
g ; earth's gravity force
m_bob ; mass
m_bob = W_earth/g
158/9,81 = 16.1
Now using Newtons gravitational law:
G ; gravitational constant (6.67*10^-11)
R ; distance between. (here moons radius 1.737*10^6)
m_1 ; mass one. ( bob 16.1)
m_2 ; mass two.( moon 7.35*10^22 )
W_m ; force.
W_m = ( G * m_1 * m_2) / (R^2)
So I did :
(6.67*10^-11 * 16.1 * 7.35*10^22) / (1.737*10^6)^2 = roughly 26.16kg. ( which is the correct answer in the solution)
But here is the thing, the SOLUTION says that the formula should be:
W_m = ( G * m_1 * m_2) /( R^2 * g)
The problem is that times g in the denominator. I can't figure out what they mean by that!?Am I doing something wrong here? Or is it actually a typo in the solution?
Thank you for all help.
edit: I know that mass and weight are different, some made it clear to me that it looked like I didn't get that. I wrote this a little quick! The scale is also a bathroom scale. I fixed that now for clarification.
For those unfamiliar, here is Coulomb's Law that governs electrostatics and this is Newton's Law of Universal Gravitation. Both laws state that the force experienced by an object under the influence of the field is equal to the product of the determining property (either mass or charge) multiplied by a constant, and divided by the square of the distance between them.
Obviously there are differences. The gravitational constant (G) is very small, while the electrostatic constant (k) is very large, but essentially the equations are mirrors of each other. Swap charge with mass and change the value of the constant and Coulomb's Law becomes Newton's Law and vice versa.
I know both gravity and electrostatic force are field properties, so I'm guessing that might be why they look so similar, but I was wondering if this is a simple explanation (like they both happen to function as an inverse square, thus the equations are like convergent evolution) or if it hints at some fundamental similarity in origin between gravity and charge. My knowledge in modern physics as far as quantum and string theory aren't strong enough to draw any conclusions.
However, it also means I am attracted to every boy, giving me the big gay
I have this assignment and I just can't focus on how to solve it. It is a two part exercise, on the first part it ask for the derivative (I have no problem with that) and its meaning (that's the troubling part). On the second part, it ask for the meaning of the minus sign, and I don't find the meaning of it on my books.
Any help will be appretiated. Thanks in advance.
Edit: Just to clarify, what I need to know is the meaning of the derivative in context of the law. I have no problem with the meaning of the derivative itself.
Got a problem with the solution given by an exam (you can skip to the end if you want to.)
Problem:
The astronaut Bob wears a spacesuit. On his scale at home he weights in at 158kg. Bob now travels to the moon and uses the same scale there. How much does Bob weigh on the moon?
Well I did:
Bob on earth :
W_earth ; bob's weight on earth
g ; earth's gravity force
m_bob ; mass
m_bob = W_earth/g
158/9,81 = 16.1
Now using Newtons gravitational law:
G ; gravitational constant (6.67*10^-11)
R ; distance between. (here moons radius 1.737*10^6)
m_1 ; mass one. ( bob 16.1)
m_2 ; mass two.( moon 7.35*10^22 )
W_m ; force.
W_m = ( G * m_1 * m_2) / (R^2)
So I did :
(6.67*10^-11 * 16.1 * 7.35*10^22) / (1.737*10^6)^2 = roughly 26.16kg.
But here is the thing, the SOLUTION says that the formula should be:
W_m = ( G * m_1 * m_2) /( R^2 * g)
The problem is that times g in the denominator. I can't figure out what they mean by that!?
Am I doing something wrong here? Or is it actually a typo in the solution?
Thank you for all help.
