The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring.(a) If the spring stretches 0.290 m while supporting a 6.4 kg child, what is its force constant (in N/m)?N/m(b) What is the time (in s) for one complete bounce of this child?(c) What is the child's maximum speed (in m/s) if the amplitude of her bounce is 0.220 m?m/s A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 9.00 kg mass is attached to one end of the spring, theother end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM.(a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant figures. In your equations, let distance be in cm and time be in s. Donot include units in your answers.)position (in cm)x(t) =cmvelocity (in cm/s)v(t) =cm/sacceleration (in cm/s²)a(t) =cm/s?(b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s2) of the mass at time t = 3.99 s. (Indicate the direction with the signs of your answers.)positioncmvelocitycm/s| cm/s²acceleration

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The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. (a) If the spring stretches 0.290 m while supporting a 6.4 kg child, what is its force constant (in N/m)? N/m (b) What is the time (in s) for one complete bounce of this child? (c) What is the child's maximum speed (in m/s) if the amplitude of her bounce is 0.220 m? m/s

The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. (a) If the spring stretches 0.290 m while supporting a 6.4 kg child, what is its force constant (in N/m)? N/m (b) What is the time (in s) for one complete bounce of this child? (c) What is the child's maximum speed (in m/s) if the amplitude of her bounce is 0.220 m? m/s

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 32P: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is...

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