A home run is hit in such a way that the baseball just clears a wall 10 m high, located 128 m from home plate. The ball is hit at an angle of 37° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

(a) Find the initial speed of the ball.

(b) Find the time it takes the ball to reach the wall.

(c) Find the velocity components of the ball when it reaches the wall.

x-component:

y-component:

Find the speed of the ball when it reaches the wall.

A 10-cm-long thin glass rod uniformly charged to 5.00 nC and a 10-cm-long thin plastic rod uniformly charged to - 5.00 nC are placed side by side, 4.40 cm apart. What are the electric field strengths E1 to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod 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

Use the data below from an electron impact mass spectrum of a pure compound to deduce its structure. Draw your structure in the drawing window.

1.

2.

3.

Thanks

A three phase 30 hp 460 volt 60 hz, 1770 rpm design B induction motor with class F insulation and service factor of 1.0 is operating at rated shaft load in a 40 degree C environment and has an expected 20 yr life. A maintenance check shows line to line voltages to be 449.2 V, 431.3 V and 462.4 volts. The percent unbalanced voltage for this motor is:

the expected temperature rise equals?

The expected insulation life equals?

the rerating in horsepower equals?

1. The City of Wichita announces that a major aircraft employer will move to the area. This will cause the creation of jobs amounting to 2% of the current labor force. Using the formulas for analyzing the effects of an increase in labor demand, estimate the following:
2. 1. What will happen to the equilibrium wage and employment in the region if the wage elasticity of supply is 1.5 and the wage elasticity of demand is 1.0?
   2. What would be the jobs multiplier in that case, if the initial direct change in employment is 2%?
   3. What would be the effects on equilibrium wage and employment if the wage elasticity of supply were higher, at 2.0?

1.Under what conditions will menopause evolve?

2.Describe the three predator functional responses and the causes for the patterns observed

3.Where in British Columbia will experience adiabatic cooling and what are the consequences

4.In haplodiploid species (ants, bees and wasps) why are brothers 0.5 related to their sisters and 100% (1.0) related to their mothers, while sisters are 0.75 related to their sisters and 0.5 related to their mothers

5. Lotka-volterra competition model

Species 1, what is α

Species 2, what is β

Using the relationship for internal pressure π_T = T (∂P/∂T)_V – P, show that for a gas that obeys a truncated virial equation of state: Z = PV_m/RT = 1 + B(T)/V_m, the internal pressure may be approximated as π_T ≈ RT²(V_m)^-2∙(ΔB/ΔT). Estimate the internal pressure at 1.0 bar and also at 10.0 bar for a hypothetical real gas at 275K given

that B(T) = -28.0 cm³⋅mol^-1 at 250K and -15.6 cm³⋅mol^-1 at 300K for this gas.

A 10-cm-long thin glass rod uniformly charged to 14.0 nC and a 10-cm-long thin plastic rod uniformly charged to - 14.0 nC are placed side by side, 4.40 cm apart. What are the electric field strengths E1 to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod 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

2. How would you produce a 10^-1 dilution of a 3 ml sample using the entire 3 ml volume?

3. What is the dilution if 96 ml of diluent is added to 4 ml of bacterial suspension?

4. Plating 1.0 ml of a sample diluted by a factor of 10^-3 produced 43 colonies. What was the original cell density in the sample?

5. Plating 0.1 ml of a sample diluted by a factor of 10^-3 produced 43 colonies. What was the original cell density in the sample?

You have the following stock solutions and solid chemicals in your lab: 0.15 M NaCl 0.50 M Tris buffer, pH 8.0 25 mg/ml Bovine serum albumin (BSA) MgCl2 (solid, anhydrous) MW = 95.211 g/mole (95% pure) 1.0 M Glucose
How would you make 250 ml of the following solution:
0.1M NaCl, 0.05M Tris, pH 8.0, 0.25 mg/ml BSA, 100 mM MgCl2, 140 mg% glucose.