 8.5.1: Find the work done on a 40 lb suitcase when it is raised 9 inches.
 8.5.2: Find the work done on a 20 kg suitcase when it is raised 30 centime...
 8.5.3: A particle x feet from the origin has a force of x2 + 2x pounds act...
 8.5.4: Find the work done in compressing the spring from x = 1 to x = 2.
 8.5.5: Find the work done to compress the spring to x = 3, starting at the...
 8.5.6: (a) Find the work done in compressing the spring from x = 0 to x = ...
 8.5.7: A circular steel plate of radius 20 ft lies flat on the bottom of a...
 8.5.8: A fish tank is 2 feet long and 1 foot wide, and the depth of the wa...
 8.5.9: A child fills a bucket with sand so that the bucket and sand togeth...
 8.5.10: A child fills a bucket with sand so that the bucket and sand togeth...
 8.5.11: How much work is required to lift a 1000kg satellite from the surf...
 8.5.12: A worker on a scaffolding 75 ft above the ground needs to lift a 50...
 8.5.13: An anchor weighing 100 lb in water is attached to a chain weighing ...
 8.5.14: A 1000lb weight is being lifted to a height 10 feet off the ground...
 8.5.15: A bucket of water of mass 20 kg is pulled at constant velocity up t...
 8.5.16: A 2000lb cube of ice must be lifted 100 ft, and it is melting at a...
 8.5.17: A cylindrical garbage can of depth 3 ft and radius 1 ft fills with ...
 8.5.18: A rectangular swimming pool 50 ft long, 20 ft wide, and 10 ft deep ...
 8.5.19: A water tank is in the form of a right circular cylinder with heigh...
 8.5.20: Suppose the tank in is full of water. Find the work required to pum...
 8.5.21: Water in a cylinder of height 10 ft and radius 4 ft is to be pumped...
 8.5.22: Water in a cylinder of height 10 ft and radius 4 ft is to be pumped...
 8.5.23: A cone with height 12 ft and radius 4 ft, pointing downward, is fil...
 8.5.24: A gas station stores its gasoline in a tank under the ground. The t...
 8.5.25: A cylindrical barrel, standing upright on its circular end, contain...
 8.5.26: (a) The trough in Figure 8.79 is full of water. Find the force of t...
 8.5.27: (a) A reservoir has a dam at one end. The dam is a rectangular wall...
 8.5.28: What is the total force on the bottom and each side of a full recta...
 8.5.29: A rectangular dam is 100 ft long and 50 ft high. If the water is 40...
 8.5.30: A lobster tank in a restaurant is 4 ft long by 3 ft wide by 2 ft de...
 8.5.31: The Three Gorges Dam started operation in China in 2008. With the l...
 8.5.32: On August 12, 2000, the Russian submarine Kursk sank to the bottom ...
 8.5.33: The ocean liner Titanic lies under 12,500 feet of water at the bott...
 8.5.34: Set up and calculate a definite integral giving the total force on ...
 8.5.35: We define the electric potential at a distance r from an electric c...
 8.5.36: Find the kinetic energy of a rod of mass 10 kg and length 6 m rotat...
 8.5.37: Find the kinetic energy of a phonograph record of uniform density, ...
 8.5.38: Find the kinetic energy of a phonograph record of uniform density, ...
 8.5.39: Two long, thin, uniform rods of lengths l1 and l2 lie on a straight...
 8.5.40: Find the gravitational force exerted by a thin uniform ring of mass...
 8.5.41: A uniform, thin, circular disk of radius a and mass M lies on a hor...
 8.5.42: A 20 meter rope with a mass of 30 kg dangles over the edge of a cli...
 8.5.43: A cylindrical tank is 10 meters deep. It takes twice as much work t...
 8.5.44: Lifting a 10 kg rock 2 meters off the ground requires 20 joules of ...
 8.5.45: Lifting a 10 kg rock 2 meters off the ground requires 20 joules of ...
 8.5.46: Two cylindrical tanks A and B such that it takes less work to pump ...
 8.5.47: It takes more work to lift a 20 lb weight 10 ft slowly than to lift...
 8.5.48: Work can be negative or positive.
 8.5.49: The force on a rectangular dam is doubled if its length stays the s...
 8.5.50: To find the force of water on a vertical wall, we always slice the ...
 8.5.51: The force of a liquid on a wall can be negative or positive.
 8.5.52: If the average value of the force F(x) is 7 on the interval 1 x 4, ...
Solutions for Chapter 8.5: APPLICATIONS TO PHYSICS
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 8.5: APPLICATIONS TO PHYSICS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Since 52 problems in chapter 8.5: APPLICATIONS TO PHYSICS have been answered, more than 33627 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Chapter 8.5: APPLICATIONS TO PHYSICS includes 52 full stepbystep solutions.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Directed line segment
See Arrow.

Equation
A statement of equality between two expressions.

Extracting square roots
A method for solving equations in the form x 2 = k.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Length of an arrow
See Magnitude of an arrow.

Mode of a data set
The category or number that occurs most frequently in the set.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Real part of a complex number
See Complex number.

Resistant measure
A statistical measure that does not change much in response to outliers.

Secant
The function y = sec x.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.