created 08/01/99

Exercise 1

Write a program that calculates the annual cost of running an appliance. The program will ask the user for the cost per kilowatt-hour and the number of kilowatt-hours the appliance uses in a year:

Enter cost per kilowatt-hour  in cents
8.42
Enter kilowatt-hours used per year
653
Annual cost: 54.9826

Exercise 2

When a brick is dropped from a tower, it falls faster and faster until it hits the earth. The distance it travels is given by

d = (1/2)gt2

Here d is in feet, t is the time in seconds, and g is 32.174. Write a program that asks the user for the number of seconds and then prints out the speed.

Enter the number of seconds: 5.4
Speed of the brick: 469.092 feet per second

Use the program to determine how lonk it would take a brick to fall 100 feet.

Exercise 3

The base 2 logarithm of a number is defined by:

log2 X = n  if 2n = X

For example

log2 32 = 5,  because  25 = 32  

log2 1024 = 10,  because 210 = 1024 

Write a program that inputs a number and outputs its base 2 logarithm. Use floating point input. This problem would be easy, but the Math package does not have a base 2 logarithm method. Instead you have to do this:

log2 X = (loge X) / (loge 2)

Here, loge X is the natural logarithm of X. Use this function in the Java Math package:

Math.log( X )

When you use this, X must be a double. Write the program so that the user can enter floating point numbers.

Enter a double:
998.65
Base 2 log of 998.65 is 9.963835330516641

Exercise 4

The harmonic mean of two numbers is given by:

H = 2 / ( 1/X + 1/Y )

This is sometimes more useful than the more usual average of two numbers. Write a program that inputs two numbers (as floating point) and writes out both the usual average (the arithmetic mean) and the harmonic mean.

Enter X:
12
Enter Y:
16
Arithmetic mean: 14.0
Harmonic   mean: 13.714285714285715