5.A 85.0-kg circus performer jumps from a height 5.10 m onto a trampoline and it stretches 0.20 m. Assume that th trampoline obeys Hooke's Law. How far will it stretch if the performer jumps from a height 7.7 m?

5.A 85.0-kg circus performer jumps from a height 5.10 m onto a trampoline and it stretches 0.20 m. Assume that th trampoline obeys Hooke's Law. How far will it stretch if the performer jumps from a height 7.7 m?

Name: 6. A 85.0-kg circus performer jumps from a height 5.10 m onto a tramp
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 6. A 85.0-kg circus performer jumps from a height 5.10 m onto a trampoline and it stretches 0.20 m. Assume that thetrampoline obeys Hooke's Law. How far will it stretch if the performer jumps from a height 7.7 m?WSX-Hmand3EDс4RF%65VSearch or type UR

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 34P: A 35.0-cm long spring is hung vertically from a ceiling and stretches to 41.5 cm when a 7.50-kg...

See similar textbooks

Similar questions

A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = axb. For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
A 35.0-cm long spring is hung vertically from a ceiling and stretches to 41.5 cm when a 7.50-kg weight is hung from its free end. (a) Find the spring constant. (b) Find the length of the spring if the 7.50-kg weight is replaced with a 195-N weight.
A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is displaced downward from its equilibrium position and released, it will oscillate up and down. (a) If air resistance is neglected, will the total mechanical energy of the system (weight plus Earth plus spring) be conserved? (b) How many forms of potential energy are there for this situation?
When a 4.25-kg object is placed on top of a vertical spring, the spring compresses a distance of 2.62 cm. What is the force constant of the spring?
A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?
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 gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum height of 2.74 m above the trampoline and, when she lands, her feet stretch the trampoline 69.0 cm down. How far does the trampoline stretch when she stands on it at rest? Assume that the trampoline is described by Hooke’s law when it is stretched.
A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum height of 3.12 m above the trampoline and, when she lands, her feet stretch the trampoline 70.0 cm down. How far does the trampoline stretch whe she stands on it at rest? Assume that the trampoline is described by Hooke's law when it is strecthed.
A 1.20 kg piece of cheese is placed on a verticalspring of negligible mass and force constant K = 1800 N/m that is compressed 15.0 cm. When the spring is released, how high does the cheese rise from an initial position? (Here cheese and spring are not attached)(Take g = 9.8 m/s2)
A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach maximum height of 2.49 m above the trampoline and, when she lands, her feet stretch the trampoline 68.0 cm down. How far does the trampoline stretch when she stands on it at rest? Assume that the trampoline is described by Hooke's law when it is stretched. Give your answer in cm.
If a force F is required to extend a spring by20 cm, what force is required to extend it by30 cm? (Assume that Hooke’s Law applies.) A. FB. (2/3)FC. (3/2)FD. 600FE. (3/5)F