Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12.6, Problem 57PS
To determine
To find: the function
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Question 002A: Complete the following question involving Work & SpringsA given spring requires 34 newtons of force to be stretched 1.5 meters. Use this information to determine the spring constant (k) of the spring.
Force = k ∗ Distance Compressed
51
198.25
68/3
3/76
Question 002B: Complete the following question involving Work & SpringsNow that you have the spring constant of the spring, use it to find the amount of work required to stetch the spring over the interval [0.6, 1.7]
23.606 Joules
56.1 Joules
24.933 Joules
28.673 Joules
Problem 4
A circular swimming pool has a diameter of 18 meters, the sides are 4 meters high, and the depth of the water is 2.5 meters. The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3.
How much work is required to:(a) pump all of the water over the side? _________________
(b) pump all of the water out of an outlet 2 m over the side?______________
Note: The answers are neither 556875pi J and 961875pi J nor 1748588 J and 222547 J.
Problem 13
The force on a particle is described by ((4x^3)−6) at a point x along the x-axis. Find the work done in moving the particle from the origin to x=5.
Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
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