Prove the Makeham’s second law
µx = A + Hx + BCx
Question 2
Prove the...
Prove the Makeham’s second law
µx = A + Hx + BCx
Question 2
Prove the Double geometric law
µx = A + BCx + Mnx
Question 3
Prove the Perk’s law
µx =
A + BCx
KCCx + 1 + DCx
where A, B, C, D, H, K, M and n are constants.
(a)Use Netwons Second Law of Motion to prove that the equation
governing the forced damped harmonic oscillator (spring-mass
system) is: mx"(t) + cx'(t) + kx(t) = F(t): (Explain what the
constants m; c; k are and what the function F(t) is. Draw a picture
of the system.)
(b)Assume m = 1; c = 0; k = 4; that F(t) = cos(2t); and that the
object attached to the spring begins from the rest position. Find
the position function using the...
A. Starting from the assumption that angular momentum is
conserved, prove Kepler's second law, the constancy of areal
velocity.
B. Starting from Kepler's first and second laws and Newton's
Universal Law of Gravity, prove Kepler's third law (The Harmonic
Law).
2) Momentum and Newton's Second Law: Impulse
(a) A block of wood is struck by a bullet. Is the block more
likely to be knocked over if the bullet embeds itself in the wood
or bounces back? Explain why. [Hint: in which case is the change in
momentum of the bullet (and hence the force applied by the bullet)
larger?]
(b) A sudden gust of wind exerts a force of 20.0 N for 1.20 s on
a bird that had...
* Prove that the associative law does not apply to ->. I.e., prove that
(P_1 -> (P_2 -> P_3)) notLEQV ((P_1 -> P_2) -> P_3).
* Right associating ...
- Work out a simple rule to determine exactly when
(P_1 -> (P_2 -> ( ... (P_{n-1} -> P_n)...)))
is satisfied.
Prove your rule by induction on n.
* Left associating ...
- Work out a simple rule to determine exactly when
(((...(P_1 -> P_2) ...) -> P_{n-1}) -> P_n)
is...
HX is a weak acid that reacts with water according to the
following equation: HX(aq) + H2O(l) H3O1+(aq) + X1-(aq) Ka =
3.16e-07 What is the equilibrium concentration of hydronium ion in
a solution that is 0.0538 M in HX and 0.116 M in X1- ion?
2nd law of thermodynamics. (a) Explain the second law of
thermodynamics and use an example to illustrate why this law is
true. (b) Given the 2nd law of thermodynamics, how is it
thermodynamically possible that a protein can spontaneously fold
given the inordinate number of conformations available to it in the
denatured form and the limited allowable arrangements in the native
form (i.e., ΔS < 0 for the protein folding process).