An accelerating voltage of 2.54x10^3 V is applied to an electron gun, producing a beam of electrons originally traveling horizontally north in vacuum toward the center of a viewing screen 36.7 cm away.

(a) What is the magnitude of the deflection on the screen caused by the Earth's gravitational field? m

(b) What is the direction of the deflection on the screen caused by the Earth's gravitational field? up down east west

(c) What is the magnitude of the deflection on the screen caused by the vertical component of the Earth's magnetic field, taken as 20.0 µT down? mm

(d) What is the direction of the deflection on the screen caused by the vertical component of the Earth's magnetic field, taken as 20.0 µT down? north south east west

(e) Does an electron in this vertical magnetic field move as a projectile, with constant vector acceleration perpendicular to a constant northward component of velocity? Yes No (f) Is it a good approximation to assume it has this projectile motion? Yes No

Let V denote the number of units of a variable input (i.e., nitrogen fertilizer) that is used in combination with a fixed input (i.e., land).

Let TP denote the total amount of production of a crop (i.e., corn) that is obtained from using each input level.  

Point A is a point of inflection.

1. TP increases at a decreasing rate ____________.  (Points: 20)

a. from O to A

b. from A to C

c. beyond point O

d. beyond point C

2. MP equals zero at ____________.  (Points: 20)

a. point A

b. point B

c. point C

d. only A and C

e. every point on the TP curve

3. The point of diminishing marginal product is ____________.  (Points: 20)

a. point O

b. point A

c. point B

d. point C

4. TP is at maximum at ____________.  (Points: 20)

a. point O

b. point A

c. point B

d. point C

5. TP experiences negative marginal returns ____________.  (Points: 20)

a. from O to A

b. from O to B

c. from A to C

d. from B to C

e. beyond C

A 400 V dc shunt motor has a rated armature current of 76 A at a speed of 1000 rpm. The armature resistance of the motor is 0.4ohm, the field resistance is 100 ohm, and the rotational losses are 0.9 kW. The load of the motor is bidirectional. Calculate the following:

(a) No-load speed of the motor.

(b) Motor speed, where the armature current is 60 A during regenerative braking.

(c) Developed torque during regenerative braking.

(d) Back electromotive force, ea during regenerative braking.

(e) Power delivered by the source under normal motor operation.

(f) Terminal current under regenerative braking.

(g) Generated power during regenerative braking.

h) Total losses under regenerative braking.

(i) Power delivered to the source under regenerative braking.

An investigator plots 1/v as a function of 1/(concentration of substrate) for data collected with and without an inhibitor. The best-fit line of the data collected in the absence of the inhibitor had a slope of 0.12 (arbitrary units of time) and a y-intercept of 0.05 (arbitrary units of time per concentration). The best-fit line of the data collected in the presence of the inhibitor had a slope that was 2.9-times as steep (arbitrary units of time) and a y-intercept of 0.05 (arbitrary units of time per concentration). If the concentration of inhibitor was 60 nM, what is the value of the inhibition constant Ki in terms of nM to the nearest tenth?

if a system is able to procude 5v to 45 v max. 2 amps to 20 amps max. how do you prevent malfunction of this systsm through GFI or circuit breaker? for example. if the max current is 20 amps and the system is drawing 20.1 amps. how do we degrade the system so that it will go back to 20 amps. draw a circuit of GFI or circuit breaker to explain please. Please dont shutdown the system if it goes over the limit, but reverse it back to the right amps or voltage without ahutting down the system.

v) If a central bank wants to increase the market interest rates, they should buy or sell public debt? vi) If an economy faces high unemployment, the centra bank should buy or sell public debt? vii) How can Central Banks target a specific level of interest rate?

A sphere of radius r has surface area A = 4πr2 and volume V = 4 3 πr3. The radius of sphere 2 is triple the radius of sphere 1.

(a)What is the ratio of the areas, A2/A1?

(b) What is the ratio of the volumes, V2/V1?

. A particle is moving so that its velocity is v(t) = 3t 2 − 30t + 48 meters/min, where t is time in minutes.

a. Find the displacement (change in position) of the particle in the first 12 minutes. Give units.

b. Find the total distance traveled by the particle in the first 12 minutes. Give units.

matlab

use matlab to calculate the velocity of the vertical falling ball (v) as a function of time by numerical
derive the following measurement values.(x is height in meters and y is the landing time in milliseconds) Make sure that the speed in the starting point is 0. Then reset
instantaneous velocity as a function of time in a diagram with matlab

x=[0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.50 2.00 2.50 3.00 3.40 3.80 4.20 4.60 5.0]

y=[[0.00 1.620 2.937 3.635 4.217 4.800 5.377 6.013 7.226 8.259 9.219 9.999 10.751 11.455 12.170 12.882]

please write the matlab code with explaination so i can understand it better, thankd in advance!!