The table below shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson's rule to estimate the work done by the force in moving an object a distance of18 m.5.5X0X joules3Need Help? Read It6f(x) 9.8 9.3 8.7 89 1215 18TICE ANOTHER7.7 7.5 7.2

Simpson's Rule: Simpson's rule approximates the integral by using the parabolas:…

Answered: The table below shows values of a force…

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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The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. X 4 8 12 f(x) 5 5.5 7.3 16 20 24 28 32 36 8.8 9.4 8.3 6.9 5.1 4.3 Use the midpoint rule with n = 4 to estimate the work W (in J) done by the force in moving an object from x = 4 to x = 36. W = J
According to Newton's law of universal gravitation, the force F between two bodies of constant mass m and M is GmM given by the formula F = d? where G is the gravitational constant and d is the distance between the bodies. a. Suppose that are constants. Find the rate of change of force F with respect to distance d. F'(d) = Preview syntax error Enter an algebraic expression [more.] b. Find the rate of change of force F with gravitational constant G = 6.67 x 10-1 Nm²/kg², on two bodies 25 meters apart, each with a mass of 1000 kilograms. Answer in scientific notation, rounding to 2 decimal places. * N/m Preview
The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson's Rule to estimate the work done by the force in moving an object a distance of 18 m. 44.8 x joules X 0 3 6 9 12 15 18 f(x) 9.6 9.1 8.7 8 7.7 7.5 7.2
A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = 0.01t* – 0.02t
Answer: 48 Newtons

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The table below shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson's rule to estimate the work done by the force in moving an object a distance of 18 m. 5.5 3 9 12 15 18 f(x) 9.8 9.3 8.7 8 7.7 7.5 7.2 X joules X 0 6