| Suppose that a particle has the following acceleration vector
and initial velocity and position vectors. a(t) = 7 i + 9t k, v(0) = 4 i − j, r(0) = j + 5 k |
| (a) | Find the velocity of the particle at time t. |
| (b) | Find the position of the particle at time
t. |
In: Math
An RLC circuit is made up of a resistor R = 12Ω , a capacitor C
= 0.1 F and an inductor L = 2 H. A voltage source is connected that
supplies 110 V. If initially the capacitor is
discharged and no current flows through the circuit, find an
expression for the charge at all times t.
differential equations
In: Math
You add 300 mL of Tris-HCl at 0.1 M to a 0.2 L solution
of 0.9% (w/v)NaCl, and to which you add 500 mg of NaCl
(powder).
What is the concentration of Tris-HCl in mM and in
g/L?
Tris-HCl : MW 121.14
NaCl : MW 58.44
In: Biology
Toxic levels of lead are 5 ug/dL in the blood of children and 10 ug/dL in the blood of adults. If the lead levels were measured at 1.5% m/v and a child with 2.5 L of blood drank 1 L of that water, would they be at risk of lead toxicity? Justify your answer with calculations.
In: Chemistry
please type answer
4. In part V, you will expose your cell to direct sunlight and indirect sunlight (i.e., shade).
How do you expect the cell’s output voltage to when the cells are in a shaded area to compare to their voltage when they are directly exposed to the sun? Explain your answer.
In: Chemistry
A concentration cell containing aqueous solutions of Cu(NO3)2 and solid copper metal is constructed so that the Cu2+ ion concentration in the cathode half-cell is 0.66 M. What is the concentration of the Cu2+ ion in the anode half-cell if the cell potential for the concentration cell at 25 oC is 0.034 V?
In: Chemistry
A negative charge q = -3.20 * 10^-6 C is located at the origin and has velocity v = 7.50*10^4 i + (-4.90*10^4) j m/s. At this instant what is the magnetic field produced by this change at the point x=0.160m y= -0.280 m z=0?
In: Physics
Explain what happens to a small open economy when foreign
governments decrease their national savings. What happens to the
following variables:
i. world interest rate
ii. domestic interest rate
iii. domestic investment
iv. domestic national savings
v. trade balance (or net exports)
In: Economics
1. Explain how you would use the Security Market Line (SML) to discern the breadth of a portfolio’s individual stock winners vs. losers.
2. Explain how the link between price (P) and intrinsic value (V) are viewed by proponents of the Efficient Market Hypothesis and by those who are not proponents.
In: Finance
A solenoid having an inductance of 4.89 μH is connected in series with a 1.58 kΩ resistor. (a) If a 14.0 V battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 72.0% of its final value? (b) What is the current through the resistor at a time t = 1.00τL?
In: Physics