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Work by two different integrals A rigid body with a mass
Chapter 2, Problem 46E(choose chapter or problem)
Work by two different integrals A rigid body with a mass of 2 kg moves along a line due to a force that produces a position function x(t)= 4t2, where x is measured in meters and t is measured in seconds. Find the work done during the first 5 s in two ways. a. Note that x"(t) = 8; then use Newton’s second law. (F = ma = mx(t)) to evaluate the work integral , where x0 and xf are the initial and final positions, respectively. b. Change variables in the work integral and integrate with respect to t. Be sure your answer agrees with part (a
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Questions & Answers
QUESTION:
Work by two different integrals A rigid body with a mass of 2 kg moves along a line due to a force that produces a position function x(t)= 4t2, where x is measured in meters and t is measured in seconds. Find the work done during the first 5 s in two ways. a. Note that x"(t) = 8; then use Newton’s second law. (F = ma = mx(t)) to evaluate the work integral , where x0 and xf are the initial and final positions, respectively. b. Change variables in the work integral and integrate with respect to t. Be sure your answer agrees with part (a
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ANSWER:Step 1 of 4
We need to find the work done during the first 5 s in two ways.