2) Give examples of “Cartesian” and “polar” coordinates. Explain
how we translate between the two coordinate systems. Answer: Cartesian is ( x, y) and polar
is (r, theta)3) The force table generates a force at its center by means of a
hanging mass attached to a string. What formula do we use to
calculate the force generated given a certain amount of hanging
mass? Answer: From newtons second law. f=ma, a=g hence
f=mg4) What formula do we use to calculate...
Expressed in terms of Cartesian unit vectors, a displacement
vector has the form: A=(3.00m)i-(4.00m)j where the units are given
(meters) Express this vector in polar form
1. Consider the spiral S in the xy-plane given in polar form by
r = e ^θ . (a) (5 points) Find an arc length parametrization for S
for which the reference point corresponds to θ = 0.
(b) (5 points) Compute the curvature of S at the point where θ =
π.
Starting from the first and second law of thermodynamics, derive
the fundamental equation for A in its natural variables. a) Derive
the Maxwell relation that s related to this equation. b) Show that
for df= gdx + hdy we have an exact equation if:
1.
Starting from the enzyme-catalyzed reaction:
S -> P
Derive the (a) Michaelis-Menten Equation (b) starting from the
Michaelis-Menten equation, derive the Lineweaver-Burker plot.
Provide brief explanation in each step.
2. Predict the optimum pH and temperature for human saliat
amylase. Why did you arrive on the prediction?
Draw moving sound wave and stationary sound wave coordinate
system.
From fundamental principles derive speed of sound. Calculate speed
of sound in water and iron.