So option (B) is the correct answer.
Problem 7 (1 point) The force, F, required to compress a spring by a distance x...
Find the work done by a force F-1-1+ 7k that moves an object from the point (0, 10, 6) to the point (6, 14, 24) along a straight line. The distance is measured in meters and the force in newtons.
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...
A constant force F=6i+8j?6k moves an object along a straight line from point (6, 0, -10) to point (-6, 7, 2).Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
Problem 1 1. Determine the work done by force F along the path C, that is, compute the line integral Si di from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [ Fudi =[F(F(t)."(t)dt Use F = (- y) { +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
I) Spring, work with variable force: An applied force along the x-axis compresses a spring with stiffness constant 8000 N/m. a) Accurately graph the applied force F b) c) vs. x for this spring, with values from x = 0 to 0.50 m on the x-axis. By calculating areas directly from the graph, determine the work done by the applied force in compressing the spring from (i) 0 to 0.25 m. and from (ii) 0.25 m to 0.50 m. Do...
9. a. A spring has constant k-5lb./in. Its natural length is 12 inches. What is the work required to compress it to 9 inches? b. A 100 ft. cable weighs 40 lbs. Find the work done in winding the cable onto a winch, if the cable is hanging vertically c. An unknown positive charge q is placed at the origin. The force F (in Newtons) with which this charge repels a unit positive charge is given by F-kq/r, where k...
Find the work done by a force F = 8i - 6j + 5k that moves an object from the point (0, 8, 8) to the point (4, 16, 24) along a straight line. The distance is measured in meters and the force in newtons. 3
с 1. Determine the work done by force F along the path C, that is, compute the line integral F.dr from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = ff.dr =[F(F(t)). 7"(t)dt с с Use F = (-y)ỉ +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that for any...
Table 1: Spring Scale Force Data Force (N) 0 Distance, x (m) ForceAverage (N) A Distance, Ax (m) Work (J) 0 0.060 0.05 0.003 0.120 0.05 0.065 0.05 0.003 0.250 0.10 0.075 0.05 0.004 0.400 0.15 0.065 0.05 0.003 0.530 0.20 0.060 0.05 0.003 0.650 0.25 Part A Post-Lab Questions: 1. Create a Force vs. Displacement (stretch distances) graph. Construct your graph on a computer program such as Microsoft Excel or Google Sheets. 2. Using the result of Analysis Question...