A 55 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 13 m long when unstretched, and falls a total of 33 m. ▼ Part A Calculate the spring constant k of the bungee cord assuming Hooke's law applies. Express your answer using two significant figures. 5 ΑΣΦ k = Submit Part B A Omax = Calculate the maximum acceleration she experiences. Express your answer using two significant figures. ΤΠ ΑΣΦ 6 Ĉ C Submit Request Answer Provide Feedback → Request Answer ? N/m ? m/s²

A 55 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 13 m long when unstretched, and falls a total of 33 m. ▼ Part A Calculate the spring constant k of the bungee cord assuming Hooke's law applies. Express your answer using two significant figures. 5 ΑΣΦ k = Submit Part B A Omax = Calculate the maximum acceleration she experiences. Express your answer using two significant figures. ΤΠ ΑΣΦ 6 Ĉ C Submit Request Answer Provide Feedback → Request Answer ? N/m ? m/s²

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...

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A student working on a school project modeled a trampoline as a spring obeying Hookes law and measured the spring constant of a certain trampoline as 4617 N/m. If a child of mass 27.0 kg compresses the trampoline vertically by a maximum of 0.25 m, while bouncing up and down, what is the childs acceleration at the moment of maximum compression?
Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?
A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position x along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively. (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data. (b) Determine the acceleration of the cart from the slope of this graph. (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 4.3.
A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant vanes over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the direction and define the stretch as the length of the cord minus its un-stretched length that is, (see below). Suppose a particular bungee cord has a spring constant, for of and for. (Recall that the of (Recall that the spring constant is the slope of the force versus its stretch (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch It 16.7 m? Figure 7.16 (credit modification of work by Graeme Churchard)
▼ A 69 g ice cube can slide without friction up and down a 30° slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 21 N/m . When the ice cube is released, what total distance will it travel up the slope before reversing direction? Express your answer to two significant figures and include the appropriate units. As = μA Part B Value X Incorrect; Try Again Submit Previous Answers Request Answer As = |m The ice cube is replaced by a 69 g plastic cube whose coefficient of kinetic friction is 0.20. How far will the plastic cube travel up the slope? Express your answer to two significant figures and include the appropriate units. μÀ Value M Units ?
.A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring whose scale is 7.00 N/mm. If the maximum compression of the spring is 150 mm, what is the value of W? Disregard the mass of the spring. (Ans. W=105 N) w 600mm 150mm
The SI unit of the spring constant k is (You may need to check your textbook for the answer.) N/m J/m
Instructions: 1. Wite the corresponding solutions and units for every part of the GIVEN, REQUIRED, SOLUTIONS and FINAL ANSWER. 2. Please do not shortcut the solutions, do it in a step-by-step way. and use only five (5) decimal places. 3. Box the final answer and use five (5) decimal places if applicable Problem: A spring in the weighing scale compresses in length by 0.14 inches for every 1.0lb, of applied force. Determine the mass of an object, in pound mass, that causes this spring to be compressed by 1.8inches. The local acceleration of gravity is 31 ft/s².
If you replace the spring system with a single spring, determine the K of it if each springing has the constant of 330 KN/mm. Enter your answer with 4 Jam ㅌ aum aum wwww Sig. per N/m. aum awwwn aww A
4. A0.35 kg branch falls from a tree onto a trampoline. If the branch was initially 2.6 m above the trampoline, and the trampoline compresses 0.14 m. calculate the spring constant of the trampoline. (ans: 96 X 10 Nm]
3. A 43 kg student jumps on a pogo stick with spring constant 3.7 kN/m. On one bounce, he compresses the stick's spring by 37 cm. Calculate the maximum height he reaches on the following jump. Jang: 0.60 m above the coamprassed point)
A force of 3 N is applied to a spring. The spring is not stretched beyond the limit of proportionality and it stretches by 15 cm. Calculate the spring constant. O 0.2 N/m O 2.0 Nm O 20 Nm O 20 N/m