The power dissipated in a resistor is given by P = V 2 / R , which means power decreases if resistance increases. Yet this power is also given by P = I 2 R , which means power increases if resistance increases. Explain.

Suppose that W1 and W2 are subspaces of V and dimW1<dimW2. Prove that there is a nonzero vector in W2 which is orthogonal to all vectors in W1.

Using MATLAB:

The velocity, v, and the distance, d, as a function of time, of a car that accelerates from rest at constant acceleration, a, are given by

= a n d = 12

Determine v and d at every second for the first 10 seconds for a car with acceleration of = 15 ft/s2. Your output must have exactly the same format as the template table below. Note that dots have been added to the table below; you can count the dots to determine the exact spacings. Also note the units.

··········Time (s) ······· ···Distance (ft) ·········Velocity (mph) ··········x.x·················x.xxe+yy···············x.xxx

The demand for labor is given by V MPE = 40 − 0.004E. The supply of labor is given by w = 5 + 0.01E.

(a) If the demand and supply curves are for a perfectly competitive labor market, what would be equilibrium wage and employment? What would be the producer and worker surplus?

(b) If the demand and supply curves are for a perfectly discriminating monopsonist, what would be the equilibrium employment? What would be the equilibrium wage, if any? What would be the producer and worker surplus?

(c) If the demand and supply curves are for non-discriminating monopsonists, what would be the equilibrium employment and equilibrium wage? What would be the producer and worker surplus?

(d) Now suppose that the government introduces a minimum wage of $25. How would it change the equilibrium wage and employment in parts (a)-(c)?

A generator with an rms voltage of 130 V is connected in series to a resistor 3.65 kΩ and a capacitor 3.00 μF .

1. At what frequency must this circuit be operated for the current to lead the voltage by 29.0 ∘? (Answer Hz)

2. Using the frequency found in part A, find the average power consumed by this circuit. (Answer in W)

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A 1.6-m wire is wound into a coil with a radius of 3.2 cm.

1.

If this coil is rotated at 94 rpm in a 7.2×10⁻²-T magnetic field, what is its maximum emf?

Express your answer using two significant figures.(In mV)

An AC voltage with an amplitude of 130 V is applied to a series combination of a 224 μF capacitor, a 114 mH inductor, and a 15.7 Ω resistor.

Calculate the power dissipated by the circuit at a frequency of 50.0 Hz.

Calculate the power factor at this frequency.

Calculate the power dissipation at a frequency of 60.0 Hz.Calculate the power factor at this frequency.

Calculate the power factor at this frequency.

• If a block of mass m at speed v collides inelastically with a block of mass M at rest, what is the final velocity of each block? What fraction of the initial energy is lost?

• Two identical circular hockey pucks of radius r traveling towards each other at the same speed v collide elastically. Their centers are separated by a vertical distance d, which is less than r. After the collision, with what angle relative to the initial path of the pucks will each one travel along?

• Explain the physics of Newton’s Cradle.

A capacitor C is connected to a battery of V volts and is fully charged.Keeping the battery connected, the spacing between the capacitor plates is reduced to half.

What happens to the potential difference between the two plates? Why?

What happens to the charge on the capacitor? Why?

What happens to the energy stored in the capacitor? Why?

Now the battery is disconnected, and then the plate spacing is restored to its original value.

What happens to the potential difference between the two plates? Why?   

What happens to the charge on the capacitor? Why?

What happens to the energy stored in the capacitor? Why?

Note: It is not enough if you say

Refactor the following classes so they are both derived from a base class called Person. Write the code for the new base class as well. Try to avoid repeating code as much as possible. Write the classes so that any common methods can be invoked through a pointer or reference to the base class.

#include <string>
#include <cmath>
using namespace std;

class Student
{
private:
string name;
   int age;
   int studyYear;
public:
   Student(string,int,int);
void study();
   void eat();
};

Student::Student(string _name, int _age, int _studyYear)
{
   name = _name;
   age = _age;
   studyYear = _studyYear;
}

void Student::study()
{
   cout << name << " is studying." <<endl;
}

void Student::eat()
{
   cout << name << " is eating." <<endl;
}

class Doctor
{
private:
string name;
   int age;
   int salary;
public:
   Doctor(string,int,int);
void checkup();
   void eat();
};

Doctor::Doctor(string _name, int _age, int _salary)
{
   name = _name;
   age = _age;
   salary = _salary;
}

void Doctor::checkup()
{
   cout << name << " is checking up." <<endl;
}

void Doctor::eat()
{
   cout << name << " is eating." <<endl;
}

In Angel, you will find a class called Employee. This class should include a constructor which sets name to blanks and salary to $0.00 and a constructor which sets name to a starting name and salary to a set amount. Additionally, the class should include methods to set the name and salary and return the name and salary. Create another method to return the name and salary nicely formatted as a string (hint – research the toString method).

You will create a new class called Manager that inherits from the class Employee. Add a field named department of type String. Supply a method toStringthat prints the manager's name, department, and salary. Remember, you may not change anything in the Employee class.

You will then create a test class that uses the Manager class. The test class should prompt the user to enter name, department and salary. This information should be stored in an array. Upon entry of 3 employee records, the program should output the information you entered.

Your program should be able to handle a maximum of 3 entries.

You may write the program as a console application or using dialog boxes.

please write a code using java. Make sure the code is correct for java eclipse.