Homework Statement
\frac {xy}{x+2y} + \frac {x+2y}{xy} = 2
\frac {xy} {x-2y} + \frac {x-2y} {xy} = 4
The attempt at a solution
I tried replacing
( \frac {xy} {x+2y} = p , say and
\frac {xy} {x-2y} = q ,
say is getting nowhere as i can't find a relationship between the...
Thanks doc, you're a lifesaver.... another question I can't seem to grasp...
Two particles (mass m1 and m2) are moving on a horizontal plane with speeds v1 and v2. Angle between them is A. What is the total momentum.
Won't it just be m1v1 + m2v2cosA? In the book its give as sqrt((m1v1)^2 +...
About the other problem... original velocity is along x axis so y component is 0.
Since after splitting momentum is conseved then along the y axis the momentum of the second particle will cancel out the one of the first particle and will also be along the y axis in the opposite dir...
Thanks, Doc! I think I've got it... please verify!
P.S. This is my first attempt to use LaTeX... forgive if something goes wrong.
According to problem, total kinetic energy of the particles is E
m_1v_1^2/2 + m_2v_2^2/2 = E
Initial momentum = O (system at rest)
New momentum = m_1v_1...
This problem makes more sense:
A body (mass M) is moving with velocity Vo. It breaks into two pieces, one of which (mass m) is traveling with speed V1 in the direction perpendicular to Vo. What is the speed of the other piece.
Mass of other piece is (M-m). The problem I am finding is I don't...
Velocity of the package is, as given, 10m/s. It will be part of final momentum.
Initial momentum = momentum when the system (boat+boy+package) is at rest
Final momentum = momentum at the moment of throwing of package
Do you know what the correct answer is?
Let
m1 = mass of package
m2 = mass of boat+child
Initial momentum = Final momentum
Initial momentum = 0 = m1v1 = m2v2
Don't take my word for it though, i'm still very new to conservation laws myself...
Homework Statement
A body of mass m is dropped from a certain height without initial velocity. At the time t when its speed is v, what is the work done by the air resistance to retard the body?
Homework Equations
Laws of conservation of momentum and inertia
The Attempt at a Solution...
There is no original velocity, the particle is at rest.
Hmm... thats possible but only is the momentum of the the split particles is equal ... can anyone verify this?
Homework Statement
A particle breaks into two pieces m1 and m2 traveling with velocities v1 and v2 respectively. The total kinetic energy of the particles is E. What is the velocity of each particle?
Homework Equations
Law of conservation of energy
Law of conservation of momentum
The...
For all real values of x and y prove that
x^2+2xy+3y^2+2x+6y+4 >= 1
I am trying to express the left side as a sum of sqares but always come short. Help will be appreciated.
The problem
For all a>0 and b>0 if a^3+b^3 = a^5+b^5 prove that
a^2+b^2<=1+ab
I have no idea on even how to start... i have tried using trigonometry (like in previous post) but come to a dead end... i am looking for the simplest method...
1. The Problem
For all positive real values of a,b and c such that a²+b²+c²=1, prove that
a(b+c) < [1/sqrt(2)]
2. My Attempt...
There are probably numerous ways to solve this, but i tried this way...
let a = sin(x)
b = cos(x)sin(y)
c = cos(x)cos(y)
a²+b²+c² =...
Q: A plane is flying horizontal to the ground with uniform velocity Vo. A stone is thrown at it with velocity V1 and angle alpha to the horizontal. If the stone hit the plane, at what height is it flying?
The simple equations of uniform acceleration are available to me.
We obviously have...
A body is thrown up on a slope. It reaches a point (l, say) 2 times: at t1 = 1sec and t2=2sec. What is the initial velocity with which it is thrown
Steps and explanation will be helpful
Thank u
A body starts moving with velocity Vo and constant acceleration a. After moving a certain distance, it attains a velocity of V. What is its velocity as it moves half the distance?
Vo = 1m/s
V = 7m/s
In the same problem, what is the time taken by the body to attain a velocity twice its initial velocity?
What is the displacement of the body at that time?
g acts in y direction. velocity is constand is x direction. angle of throw, as mentioned, is perpendicular to the ground, and sincs cos90 = 1 it can be neglected.
i need help solving it.
A stone (taken as a point mass) is thrown from a cliff of height H = 80m perpendicular to the ground. It falls L = 60m away from the cliff. What is the initial velocity V with which the stone is thrown?
Obviously we have to deduce the formula for velocity using kinematic equations w/ respect to...