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A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁ A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter x;* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. n lim n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb

A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁ A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter x;* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. n lim n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help me with this question. I am really struggling in competing question. I keep on getting the incorrect answer. Please show your work and include a box showing the Answer to the questions. Please try as much as possible to answer both questions. For the second question the one where I have to input multiple answers (more than the other questions. Do I write the equation as 0.5(40-xi) the I would be below. Kind of like this x^2, but below. I don't know tho. Thank you

A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁
Transcribed Image Text:A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁
A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter x;* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. n lim n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb
Transcribed Image Text:A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter x;* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. n lim n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb
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