Hey guys, just trying to understand how the quotient rule is derived, so I head over to wikipedia and saw this:
But I'm having some difficulty understanding what goes on between these two steps:
Could someone shed some light on this?
I'll try using the scalar product and see where it gets me.
Edit: No progress. I figured that since P1 lies on L1, some value of 't' would take me to P1 and from there, vector P1P2 would take me to P2 (assuming P1P2 is the cross product of the direction vectors).
Homework Statement
Homework Equations
(x,y,z)=(x0,y0,z0) + t(m1,m2,m3)
The Attempt at a Solution
So at first I thought that since vector P1P2 is at right angles to both lines, both lines must be parallel. Quickly dismissed this idea since their direction vectors are not multiples of...
I'm getting a bit confused as to what each force refers to. Correct me if I am wrong,
Intermolecular forces (also referred to as electrostatic forces), are forces that exist between molecules. These forces can very in strength, strongest in liquids, relatively weaker in liquids, and almost...
Oh okay, i see that makes more sense. I was always wondering why we placed that value as I1, there seemed to be no explanation from my book, it simply stated to do so
My textbook says that in the equation β= 10log(I1/I2), I1 in most cases is the threshold of hearing (1.0x10^-12). Just out of curiosity, when is I1 not the threshold of hearing?
\frac{1}{2}mv^2 = \frac{1}{2}kx^2
(0.01)(0.4)^2 = 20x^2
0.0089 m = x
8.9 cm = x
I wrote that the initial velocity was 40m/s, should have been 40cm/s. Would this solution be correct though?
Homework Statement
A 10g marble is launched horizontally from a spring of K = 20 N/m. If the marble ended up with a launch speed of 40m/sec, how much (in cm) was the spring compressed by?Homework Equations
F=kx
E=\frac{1}{2}kx^2
The Attempt at a Solution
To find how much the spring was...
No, that would be the force of gravity between two objects, g = GMm/r^2. This is just the force of gravity the object exerts, or gravitational field i guess
Homework Statement
Planet X has a radius double of Planet Y. Planet X also has a mass that is double planet Y. How do the surface gravitational fields of X and Y compare?
Homework Equations
g=GM/R
The Attempt at a Solution
So because were looking for the ratio of gx to gy, we can use...