The Physics Girl drops a Spalding Hi-Bounce ball ON TOP of a Basketball from1 m until the basketball with the Spalding on top of it hits the ground. The Basketball then STAYS still on the ground but the Spalding FLIES UP into the air. The MASS of the Spalding is 0.1 kg and the mass of the Basketball of 1.0 kg.Using ONLY conservation of ENERGY predict how HIGH the Spalding ball flies upward into the air.

Please write all the steps and formulas used clearly. Thanks!

4. The thickness of each part is 0.500”. The allowable stress of the material is 15,000 psi. The joint efficiency is 1.0 and the inside diameter is 60”. Calculate the maximum pressure for each part: a) 2:1 Ellipsoidal Head: __________ psi b) Torispherical Head: __________ psi c) Hemispherical Head: __________ psi d) Cylinder: __________ psi e) Sphere: __________ psi
5. State which shape is the best for containing pressure and which shape is the worst for containing pressure

We would like to align two DNA sequences: (v) C G A T A C T, and (w) G A T T C G T :

i) s(i, j) = 1.5 if vi = wj (matches);

ii) s(i, j) = -1.0 if vi != wj (mismatches);

iii) d = 0.25 (indels: insertions or deletions).

What would be the maximum alignment score? Explain how you get the result.

A cube of edge length ℓ = 2.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components Bx = +7.0 T, By = +2.0 T, and Bz = +1.0 T.

(a) Calculate the flux through the shaded face of the cube. [Answer] T · m²

(b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? [Answer] T · m²

Gas experiement: Mg + HCl reaction

The volume of hydrgeon gas produced was not at standard temperautre and pressure. Convert the volume at the pressure and temperature of the experiement to a volume at standard temperature and pressure : STP (T=273.15 and P=1.00 atm).

Mg + 2HCl -> MgCl2 + H2

Mass of Mg: .012

Max pressure: 1.0946

Initial pressure: 1.0103

Pressure change: .0843

Temperature: 294.3

Used 5 ml of 1.0 M HCl in experiment

You are buying a house and the mortgage company offers to let you pay a​ "point" 1.0% of the total amount of the​ loan) to reduce your APR from 5.88% to 5.63% on your $419,000​, 30​-year mortgage with monthly payments. If you plan to be in the house for at least five​ years, should you do​ it? ​(Note: Be careful not to round any intermediate steps less than six decimal​ places.)

The monthly mortgage payment at 5.88% APR is $_ ?

Due to a recession, expected inflation this year is only 4.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 4.75%. Assume that the expectations theory holds and the real risk-free rate (r*) is 3.5%. If the yield on 3-year Treasury bonds equals the 1-year yield plus 1.0%, what inflation rate is expected after Year 1? Round your answer to two decimal places.

The following questions refer to the gas phase decomposition of ethylene chloride

C2H5Cl→ products

Experiment shows that the decomposition is first order. The following data show kinetics

information for this reaction.

Time (s)               1.0       2.0

ln [C2H5Cl] (M)    -1.625    -1.735

What is the rate constant for this decomposition if [C2H5Cl] is 0.20M?

What was the initial concentration of the ethylene chloride? K=0.12

What would the concentration be after 4.0 seconds? based on previous question

Two 11cm -long thin glass rods uniformly charged to +13nC are placed side by side, 4.0 cm apart. What are the electric field strengths E1, E2, and E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm to the right of the rod on the left, along the line connecting the midpoints of the two rods?

Specify the electric field strength E1.

Specify the electric field strength E2.

Specify the electric field strength E3.

Two 11cm -long thin glass rods uniformly charged to +13nC are placed side by side, 4.0 cm apart. What are the electric field strengths E1, E2, and E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm to the right of the rod on the left, along the line connecting the midpoints of the two rods?

Specify the electric field strength E1.

Specify the electric field strength E2.

Specify the electric field strength E3.