Gravitational Force of Particles

AI Thread Summary
The discussion revolves around calculating the gravitational force on a 26kg mass due to a 13kg mass positioned at -5j-hat. The user applied the gravitational force formula but received incorrect results, prompting confusion about the distance used in the calculations. Participants questioned whether the distance between the particles was accurately represented, indicating a misunderstanding of how to calculate the resultant distance in a two-dimensional space. The conversation highlights the importance of correctly determining the distance between the particles for accurate gravitational force calculations. Ultimately, clarifying the distance measurement is essential for resolving the discrepancies in the user's solution.
heartshapedbox
Messages
30
Reaction score
0

Homework Statement


There are three particles;
1) 26kg at 12i-hat
2)13kg at -5j-hat
3)13 kg at 5j-hat

A) What is the gravitational force on the 26kg mass due to the 13kg mass at -5j-hat

Homework Equations


F= GMm/r^2

The Attempt at a Solution


A) IN COMPONENTS;
Y Component
F=6.67E-11(13)(26)/5^2
9.01E-10 j-hat
X Component
F=6.67E-11(13)(26)/12^2
=1.57E-10 i-hat

I have solved this problem before in the exact same way and gotten the correct answers. I don't know why there answers are incorrect. Could someone point it out please? Thanks.
 
Physics news on Phys.org
−1.2E−10i-hat −5.1E-11 j-hat

Correct answers...
 
Still unsure how the attempt to solve is wrong, help please?
 
@heartshapedbox
Is the distance between the objects 5j, 12i, or some other number?
 
256bits said:
@heartshapedbox
Is the distance between the objects 5j, 12i, or some other number?
Yes that's the distance!
 
heartshapedbox said:
Yes that's the distance!
No it isn't.
If fred is 3 m in front of you and Ella is 4m to your right, how far apart are Fred and Ella?
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top