Public health emphasizes the importance of safe home, work, and community environments. Reliable access to clean drinking water, a toilet, and fuel is critical for human health. Minimizing exposure to hazards and injuries at work is is also essential for safety and well-being. Watch the TED Talk video (the link is provided below), and discuss in this forum the related issues. Feel free to share with us your thoughts and give your personal examples and observations.

https://www.youtube.com/watch?v=FKBVwX8dVhI

https://www.youtube.com/watch?v=LlQXs0yofMs

Consider a particle that is confined by a one dimensional quadratic (harmonic) potential of the form U(x) = Ax2 (where A is a positive real number).

a) What is the Hamiltonian of the particle (expressed as a function of velocity v and x)?

b) What is the average kinetic energy of the particle (expressed as a function of T)?

c) Use the Virial Theorem (Eq. 1.46) to obtain the average potential energy of the particle.

d) What would the average kinetic and potential energies be if U(x) = Ax6?

Eq. 1.46: <V>/<K> = 2/n

Public health emphasizes the importance of safe home, work, and community environments. Reliable access to clean drinking water, a toilet, and fuel is critical for human health. Minimizing exposure to hazards and injuries at work is is also essential for safety and well-being. Watch the TED Talk video (the link is provided below), and discuss in this forum the related issues. Feel free to share with us your thoughts and give your personal examples and observations.

https://www.youtube.com/watch?v=FKBVwX8dVhI

https://www.youtube.com/watch?v=LlQXs0yofMs

A 230 V, 250 rpm, 100 A separately excited dc motor has an armature resistance of
0.5 Ω. The motor is connected to 230 V dc supply and rated dc voltage is applied
the field winding. It is driving a load whose torque-speed characteristic is given by

TL = 500 − 10ω

where ω is the speed in rad/sec and TL is the load torque in N-m. Find
(a) the steady state speed at which the motor will drive the load.
(b) the armature current.
Neglect the rotational losses of the machine.

Consider 45 risk-neutral bidders who are participating in a second-price, sealed-bid auction. It is commonly known that bidders have independent private values. Based on this information, we know the optimal bidding strategy for each bidder is to:

A. bid their own valuation of the item.

B. shade their bid to just below their own valuation.

C. bid according to the following bid function: b = v − (v − L)/n.

D. bid one penny above their own valuation to ensure they get the item.

Why is a V vs S plot often inadequate for determining enzyme kinetic constants, and how do various alternate plotting methods allow these values to be determined more adequately? Give examples of alternate methods of kinetic analysis and their utility.

The V vs S plot is inadequate because it makes the assumption that it’s only for a single subunit and substrate. The line on the graph usually represents a line that best fits the data and are not completely accurate. This only measures free enzymes or unstable enzyme substrate complex. An alternate method

Two capacitors C₁ = 5.1 ?F, C₂ = 19.8 ?F are charged individually to V₁ = 14.9 V, V₂ = 3.4 V. The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.

Calculate the final potential difference across the plates of the capacitors once they are connected.

C) By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?

Part a is 5.76V

Part b is 4.66E-5 C

Please help me with part c! In J please

You have three capacitors: C1 = 1500. μF, C2 = 2400. μF, and C3 = 3600. μF. Find Ceq for a) all in series b) all in parallel c) c1 and c2 are in parallel and c3 in series with them d) c2 and c3 in parallel and R1 in series with them, e)c1 and c3 in parallel and c2 in series with them. f) For one of the three arrangements where only two of the caps are connected in parallel, calculate the ∆V ’s and Q’s for each capacitor in that arrangement, if connected to a E = 12.00 V EMF.

1. Consider the following second-order differential equation. d^2x/dt^2 + 3 dx/dt + 2x − x^2 = 0 (a) Convert the equation into a first-order system in terms of x and v, where v = dx/dt. (b) Find all of the equilibrium points of the first-order system. (c) Make an accurate sketch of the direction field of the first-order system. (d) Make an accurate sketch of the phase portrait of the first-order system. (e) Briefly describe the behavior of the first-order system