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MAT 21B Lecture 13: Lecture 13

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amberbear563
8 Feb 2019
School
UC-Davis
Department
Mathematics
Course
MAT 21B
Professor
FU Liu

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MAT 21B Full Course Notes
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Document Summary

Fck ) x=b in is moving an object. Worn along done x by axis w - a variable tea from. Ux where u is to move the force force constant and. F is the end to distance x force required. Find natural constant work length is required of. 0. 75 to a feet spring if from its to feet feet force. For all physics problem , try to include units. Newton x meters ( ft . lb ) Warning : ng is the unit of mass lb is the unit of weight. 24 n holds of has a the natural spring length stretched of. F - u x standard metric units am than. 0 , 18 m . its length . 20 cm beyond its natural stretch to length ? the spring. I and it of ft . the from the rope at a.

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Related Questions

- A variable force of 6x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x = 1 ft to x = 17 ft. (Round your answer to two decimal places.)

____ ft-lb

- The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use the Midpoint Rule with n = 4 to estimate the work W done by the force in moving an object from x = 3 to x = 35.

x 3 7 11 15 19 23 27 31 35
f(x) 5 5.5 7.3 8.8 9.5 8.1 6.5 5.4

4.3

W = _____ J

- Suppose that 5 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 37 cm.

(a) How much work is needed to stretch the spring from 31 cm to 35 cm? (Round your answer to two decimal places.)
____ J

(b) How far beyond its natural length will a force of 50 N keep the spring stretched? (Round your answer one decimal place.)
____ cm

- A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching it from 30 to 40 cm. (Use k for the spring constant)

W1 = ____ J

W2 = ____J

- If 12 J of work are needed to stretch a spring from 14 cm to 18 cm and 20 J are needed to stretch it from 18 cm to 22 cm, what is the natural length of the spring?
____ cm