[SOLVED] Factoring problem
Homework Statement
Factorize the following: a^2 - b^2 + 2bc - c^2
The attempt at a solution
I know this should be a fairly simple problem, but my brain must be fried or something, I can't seem to come up with anything... There are no factors common to all terms, and...
Hmm... I have no idea what I was thinking when I put 25... :grumpy:
Well, thanks a ton for the help, I really appreciate it.
Just to make sure... The 2 equations, in their correct forms, are:
112 = 3v1'2 + v2'2
and
40 = 6v1' + 2v2'
Then, with those, I can solve for the correct velocities...
But with that equation, would I just do what I was doing before, solve for one and plug it into the other equation?
Also, does that work when the objects are going in the same direction?
Alright... M1 = 6 V1 = 6 M2 = 2 V2 = 2
Plugging those into the conservation of kinetic energy equation (the one I listed above) I got:
25 = 3v1'2 + v2'2
Plugging them into the conservation of momentum equation:
40 = 6v1' + 2v2'
Here's where I'm stuck... If I solve for one variable...
Homework Statement
A 6.0 kg cart moving at 6.0 m/s collides with a 2.0 kg cart moving at 2.0 m/s in the same direction on the same track. The collision is cushioned by a perfectly elastic bumper attached to one of the carts. What are the velocities of the carts after the collision? What was...
Homework Statement
A glass of water with a mass of 500 g is being pushed horizontally at thetop across a table. The base is 1.5 cm in diameter and i is 5.0 cm tall. The coefficient of static friction is 0.20. Will it slip or tip?
Homework Equations
Not entirely sure.The Attempt at a...