abbasali

The kinetic energy KE of an object of mass m moving with a velocity v is defined as. If a forceacts on the object, moving it along the x-axis fromto, the Work-Energy Theorem states that the net work done is equal to the change in the kinetic energy: , whereis the velocity atand is the velocity at.

1. Letbe the position function of the object at time t and,the velocity and acceleration function. Prove the Work-Energy Theorem by first using substitution rule for Definite integrals (4.5.5) to show that

Then use Newton’s Second law of Motion () and the substitution to evaluate the integral.

2. How much work (in ft-lb) is required to hurl a 12-lb bowling ball at 20 mi/h (Note: Divide the weights in pounds by 32, the acceleration due to gravity, to find the mass, measured in slugs.)

A student is summarizing information from page 152 of a 1985 book with two authors, Susan Ludington-Hoe and Susan K. Golant. Choose the APA in-text citation that is handled correctly:

a) Ludington-Hoe (1985) noted that music “has been known to stimulate the brain’s right side (fostering creativity) and actually help babies gain more weight and cry less” (p. 96).

b) Ludington-Hoe & Golant (1985) noted that music “has been known to stimulate the brain’s right side (fostering creativity) and actually help babies gain more weight and cry less” (p. 96).

c) Ludington-Hoe and Golant (1985) noted that music “has been known to stimulate the brain’s right side (fostering creativity) and actually help babies gain more weight and cry less” (p. 96).

d) Music “has been known to stimulate the brain’s right side (fostering creativity) and actually help babies gain more weight and cry less” (Ludington-Hoe and Golant, 1985, p. 96).

What is  Pneumonoultramicroscopicsilicovolcanoconiosis ?