So what does this net force do? Does the 15N applied force and the tension from the spring only push the large mass? Does it contribute nothing to the stretch in length?
How can you prove that the lowest point does indeed occur when the velocity is tangent again? And why do we need to know that it is tangent? Is something not conserved otherwise?
The path you are describing is the Hohmann transfer orbit, right?
How much velocity boost would I be saving in your case?
It is not feasible to directly launch to the ISS?
Also, if I use the energy conservation law with an initial thrusting of v_i and a final velocity of 0, the satellite would...
If we launch a satellite to a circular orbit around the Earth at height 357.1 km, to find the velocity needed at launch, do we just set the energies equal?:
- \frac {\mu}{2\left(r_E + h\right)} = \frac {v_L^2}{2} - \frac {\mu}{r_E}
and then solve for v_L?
\mu = GM, where M is the mass of the...
Thanks for the energy solution. I do prefer that solution. I just didn't think of how to do it that way.
Could you also show me a way to do it with integration?
So is my calculus way rigorous or correct? I tried to use v_f^2=v_0^2+2ax in my first attempt...is that wrong?
And for the rigid rod, I can drop the term because I can just have almost 0 kinetic energy at the top, right?
Thanks.
Also, in my original solution, I wasn't sure if it was correct to say
v_n^2+2a\, dx = 0
Can I just put that dx in there? I kind of just guessed that I could do that.
Can somebody more rigorously do my solution for a rigid rod?
Also, can you elaborate on this?
"At the minimum initial...
A bullet of mass m_1 strikes a pendulum of mass m_2 suspended from a pivot by a string of length L with a horizontal velocity v_0. The collision is perfectly inelastic and the bullet sticks to the bob. Find the minimum velocity v_0 such that the bob (with the bullet inside) completes a circular...