Coloumb's Law and Electric Dipoles question

AI Thread Summary
The discussion revolves around calculating the total force on an HCl molecule due to a nearby Na+ ion, with specific attention to the arrangement and vector components of the forces acting on the H and Cl atoms. The user initially attempted to apply Coulomb's Law but received an incorrect answer, suggesting a misunderstanding in the calculations or the setup of the problem. Clarification is sought regarding the relative positions of the charges and the necessity of including vector components in the calculations. The user is reminded to sketch the arrangement and indicate the force vectors, which is crucial for determining the resultant force. Accurate calculations should include units and consider the vector nature of the forces involved.
John Yi
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Homework Statement


1)HCl consists of one H and Cl atom separated by 0.127 nm, the bond length. The Cl atom has a partial charge of -0.177e and the H atom has a partial charge of +0.177e, where e = 1.602x10-19 C is the electron charge.

2)Now the HCl molecule is placed near a sodium ion Na+ with charge +1e. As shown in the figure, the distance between the Cl and Na atoms is d = 1.6 nm.

Homework Equations


I had finished question 1, but am stuck on question 2.

The Attempt at a Solution


I started with k(q1)(q2)/r^2 ----> (9x10^9) x (2.83554e-20) x (1.602e-19) / (1.727e-9)^2

I end up with an answer with 1.37e-11, but it is saying it is wrong. What am i doing incorrectly?
 
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What are the questions associated with 1) and 2). What are you supposed to calculate?

The diagram referenced would be helpful: What are the relative positions of the charges? Is the Na ion on the axis of the dipole formed by the H and Cl atoms?

Note that fields and forces are vector quantities: they have both magnitude and direction. They also have units associated with them. Don't forget to include units on all results!
 
Ah I am sorry. The question I am supposed to answer is :

What is the magnitude of the total force on the HCl molecule due to the Na+ ion |FHCl|?
 
You should make a sketch of the arrangement and draw in the force vectors operating on the H and Cl atoms due to the Na atom. Also indicate their X and Y components. Can you tell what the sum of those vectors will be from the sketch?
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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