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Mathematics: Post your doubts here!
You chose the wrong "15 deg". Use the 15 deg here: -
Mathematics: Post your doubts here!
You designated the wrong direction as hypotenuse. The 30 g should be the hypo, and then you can see everything makes sense. -
Mathematics: Post your doubts here!
PS. In case you are interested... Click on the spoiler below. -
Physics: Post your doubts here!
Both questions can be answered by the same fact: electric charge is distributed uniformly inside the conducting sphere. When outside the sphere, the electric field is not uniform - it is more concentrated nearer the sphere surface. This means there is a "concentration gradient" outside the... -
Chemistry: Post your doubts here!
Use Le Chatelier's Principle for this question. Le Chatelier's Principle dictates the equilibrium position to shift to one side (product or reactant), in order to counter any effect from changes in state (temperature, pressure, etc.). In this case, the "state" that has changes is the... -
Mathematics: Post your doubts here!
Glad to see you find my answer helpful. :) As of now, the rich text editor in the forum doesn't quite support insertion of equations. I used MS Word instead, and converted the lines to images. You can see that the answer I provided was actually image files. -
Mathematics: Post your doubts here!
The whole process was done at constant speed of C. This means C's kinetic energy does not change at all. -
Mathematics: Post your doubts here!
Both A and N are on line l, and both the points are on the plane, so l must be on the plane too. Also, I tested the answer on the MS using the points and found it to be inconsistent. Using B's coordinates, (3, -1, -4), we can see that: 7 * 3 + 8 * (-1) + (-11) * (-4) = 21 - 8 + 44 = 57 The... -
Mathematics: Post your doubts here!
This part does not seem to be solvable. From the information given we can obtain the following pieces of info: 1. "N is the foot of the perpendicular from B to l" --> N is on line l. 2. "The plane containing A, B and N" --> A and N are both on the plane --> Line l is on the plane. 3. "The... -
Biology; Chemistry; Physics: Post your doubts here!
The key concept for this question is Newton's 3rd Law: for each force, there must be an opposing force with the same magnitude. Since X and Y are connected together by the spring, when the spring is pulling X to give it acceleration, X is also pulling the spring (the opposing force). And this...- DragonCub
- Post #20,380
- Forum: O-Levels / GCSEs / IGCSE
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Physics, Chemistry and Biology: Post your doubts here!
The direction of electron flow is always from the power source's negative electrode to its positive electrode.- DragonCub
- Post #9,526
- Forum: O-Levels / GCSEs / IGCSE
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Mathematics: Post your doubts here!
Sorry, I made a silly mistake... I meant to take the point on line r but misread it. (There is no j in there but I mistook k as it, and s as k, so I came up with the wrong one.) Yes, you are right, it should be (1, 0, -2) or (6, -5, 4), and both will arrive at d = 17. The answer should be as... -
Mathematics: Post your doubts here!
Special thanks to i_try9621 for spotting the mistake! (Post #17891) -
Mathematics: Post your doubts here!
I'll assume the 9 cars are all different, so that permutation (rather than combination) is used: (i) Choose 9 slots from 13, order is considered. 13P9 = (13!)/(4!) = 259459200 (ii) Now we need to make sure that in every case, the 4 empty slots are bound together. We can group the 4 empty... -
Mathematics: Post your doubts here!
We need two points because we need to find the line's vector. The fastest way to find the vector is to obtain two points on the line. If you are interested in another method of determining the vector, you can use the normal vectors of P1 and P2. If the vector is parallel to both planes, then... -
Mathematics: Post your doubts here!
Uh I'm soooo sorry, misread a tiny part of the question and that happened... I've corrected my work (edited my original reply), and arrived at the same answer provided by the marking scheme. Should not be any more errors there. Again, sorry about the wrong answer :P