What is the difference in maximum stored energy between the sprinters and the non-athletes? The elastic energy stored in your tendons cancontribute up to 35% of your energy needs whenrunning. Sports scientists find that (on average) theknee extensor tendons in sprinters stretch 44 mmwhile those of nohathletes stretch only 31 mm Thespring constant of the tendon is the same for bothgroups, 33 N/mm

Given, Spring constant , k = 33 N/mm stretch in sprinter , x1 = 44mm = 0.044 m stretch in sprinter ,…

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What is the difference in maximum stored energy between the sprinters and the non-athletes

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 41P: Engineers desire to model the magnitude of the elastic force of a bungee cord using the equation...

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At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?
Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle with the vertical (Fig. P7.81). Take D = 50.0 m, F = 110 N, L = 40.0 m, and = 50.0. (a) With what minimum speed must Jane begin her swing to just make it to the other side? (b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Assume Tarzan has a mass of 80.0 kg.
Engineers desire to model the magnitude of the elastic force of a bungee cord using the equation F(x)=a[x+9m9m( 9m x+9m)2] , where x is the stretch of the cord along its length and a is a constant. If it takes 22.0 kJ of work to stretch the cord by 16.7 m, determine the value of the constant a .
A 6 000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in Figure P6.27 (page 188). Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2, = 3 400 N/m. After the first spring compresses a distance of 30.0 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 50.0 cm after first contacting the two-spring system. Find the cars initial speed.
Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts from x0=0 at t=0. what is the particle’s initial velocity?
In the dangerous sport of bungee jumping, a daring student jumps from a hot air balloon with a specially designed elastic cord attached to his waist. The unstretched length of the cord is 25.0 m, the student weighs 7.00 102 N, and the balloon is 36.0 m above the surface of a river below. Calculate the required force constant of the cord if the student is to stop safely 4.00 m above the river.
A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69
• A 1.80-kg block slides on a rough horizontal surface. The blockhits a spring with a speed of 2.00 m>s and compresses it a distanceof 11.0 cm before coming to rest. If the coefficient of kinetic friction between the block and the surface is mk = 0.560, what is theforce constant of the spring?
The magnitude of the force required to compress an imperfect horizontal spring a distance x is given by Fbs = kx +bx^3 where k=120N/m and b=18N/m^3. If you use a 7.5kg block to compress the spring a distance of 1.6m and then let it go, what speed will the block have when it leaves the spring? Assume the surfaces are smooth enough that any frictional forces can be neglected.
A two-dimensional, conservative force is zero on the x- and y-axes, andsatisfies the condition ⎛⎝dFx /dy⎞⎠ =⎛⎝dFy /dx⎞⎠ =⎛⎝4 N/m3⎞⎠xy . What is the magnitude of the force at the pointx = y = 1 m?
The magnitude of the force required to compress an imperfect horizontal spring a distance x is given by Fbs=kx+bx3 where k=120 N/m and b=18 N/m3. If you use a 3.5−kg block to compress the spring a distance of 1.6 m and then let it go, what speed will the block have when it leaves the spring? Assume the surfaces are smooth enough that any frictional forces can be neglected.
Initially sliding with a speed of 4.1 m>s, a 1.5-kg block collideswith a spring and compresses it 0.27 m before coming to rest.What is the force constant of the spring?