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. x f(x) joules 6 9 15 18 9.7 9.1 8.4 8 7.7 7.6 7.3 0 3 12
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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. Use Simpson's Rule to estimate the work done by the force in moving an object a distance of 18 m. joules x 0 3 6 9 12 15 18 f(x) 9.9 9.4 8.6 8.1 7.8 7.5 7.3The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpsons rule to estimate the work done by the force in moving an object a distance of 18 m Answer in joules:Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring x m from its natural length is F(x) = ksqrt(5 + x2) N. a. If a 3-N force stretches the spring 2 m, find the value of k. b. How much work is required to stretch the spring 1 m from its natural length
- A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.2% (that is, ΔV/V0 = 2 ✕ 10-3) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.5 ✕ 109 N/m2, assuming the jar does not break. N/cm2A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by , where x is its distance from the origin and is a constant. A driving force given by , where A is a constant, is applied to the particle along the x-axis. c)What is the maximum amplitudeA mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by , where x is its distance from the origin and is a constant. A driving force given by , where A is a constant, is applied to the particle along the x-axis. D)what is the Q value?
- decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem . If false,provide an example,illustration,or briefexplanation of why the statement is false. Q.) The impulse of a force F(t) acting on an object is obtained by integrating F(t) over all values of t.By experiment, you find that a force field F performs only half as much work in moving an object along path C1 from A to B as it does in moving the object along path C2 from A to B. What can you conclude about F? Give rea-sons for your answer.Knowing that F{e −at} = 1 /(a + iω ), a > 0, use Parseval's theorem to calculate
- You have been asked to find the path along which a force field F will perform the least work in moving a particle between two locations. A quick calculation on your part shows F to be conservative. How should you respond? Give reasons for your answer.The force (N) during the drawback distance (m) are recorded to be x = [0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50];F = [0 37 80 114 144 167 195 217 235 249 260]; a ) Use a single application of the Simpson’s 1/3 Rule (n=3 points) to estimate the kinetic energy of the slingshot pellet and provide the answer accurate to 4 decimal places. Kinetic energy: Answer b) See if you can improve your estimate by using two applications of the Simpson’s 1/3 Rule followed by two applications of the Simpson's 3/8 rule (in that order). Provide your answer accurate to 4 decimal places. Kinetic energy: AnswerA trough with a trapezoidal cross-section, as shown in the figure, contains vegetable oil with density 930 kg/m3. (Use g = 9.8 m/s2 for the acceleration due to gravity.) [I have answer to part a, I just need help with part b] (a) Find the hydrostatic force (in N) on one end of the trough if it is completely full of oil. 54684=N (b)Compute the force (in N) on one end if the trough is filled to a depth of 1.5 m. (Round your answer to two decimal places.) ?=N