A child's pogo stick (Fig. P5.77) stores energy in a spring (k = 2.50 x 10* 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 mov- ing upward. At position ©, the child is again momentarily at rest at the top of the jump. Assum- ing that the combined mass of child and pogo stick is 25.0 kg, (a) calculate the total energy of the system if both potential energies are zero at 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, and (e) obtain the child's maximum upward speed. X1 Figure P5.77

A child's pogo stick (Fig. P5.77) stores energy in a spring (k = 2.50 x 10* 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 mov- ing upward. At position ©, the child is again momentarily at rest at the top of the jump. Assum- ing that the combined mass of child and pogo stick is 25.0 kg, (a) calculate the total energy of the system if both potential energies are zero at 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, and (e) obtain the child's maximum upward speed. X1 Figure P5.77

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Please answer and solve the question correctly. Thank you!
As a part of an exercise routine to strengthen their pectoral muscles, a person stretches a spring which has a spring constant k=585N/m
A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)
A box with m = 2 kg is launched up the circular ramp by compressing and releasing a spring with k=5kN/m. If the ramp has ρ=1.5m and the spring is compressed 0.1156 m, will the box be able to reach point B if the coefficient of kinetic friction of the ramp, μk = 0.3?
An ideal spring can compress 2.33 cm by a force of 1290 N, a block of mass m = 3.18 kg is released from rest on an inclined plane, the inclination of the plane is 32 degrees, the block rest momentarly when the spring is compress 5.48 cm. Find the speed of the block when reaches the spring. (g = 10 m/s2 ).
The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists find that (on average) the knee extensor tendons in sprinters stretch 42 mm while those of nonathletes stretch only 35 mm. The spring constant of the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathletes? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) AU = μA Value N m
An athlete stretches a spring an extra 20.5 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 29.6 N/cm? 622 J 62.2 kJ 62.2 J O 622 kJ
Suppose a box of mass mm slides toward a spring with a speed of vi, presses 1.00 m into the spring, and then bounces away with a final speed of 13.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk= 0.5).