Chapter 8.3, Problem 75E

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.

Solve plz

A A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow? S B Decreasing at foot per minute Increasing at foot per minute Decreasing at foot per minute 9 ft Increasing at foot per minute -2 ft-

The side of a cube is increasing at a rate 9m/s, then the rate at which the volume of the cube increases when side is 4m is m³/s. O -432 -972 972 432

Full solution please

A person is 28 feet away from a 30 foot tall street lamp, which creates a shadow (the thick line on the diagram below)