Problem 10: The restoring force in a Hooke's Law spring is a conservative force, and hence, the work done by that force is represented by a potential- energy function. Consider a spring with spring constant k. One end of the spring is fixed at the origin of the coordinate system, and the other is attached to an oscillating block with mass m. The diagram below shows the potential energy function for the spring and the total mechanical energy of the system. 14.0 12.0 U 10.0 Etotal 8.0 6.0 4.0+ 2.0 0.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 x(cm) Part (a) What is the equilibrium position, in centimeters, of the block? eq=18 ✓ Correct! Part (b) What is the position, in centimeters, of one of the turning points of the spring-mass system. Xturn = 14 ✔ Correct! Part (c) What is the value, in newtons per meter, of the spring constant? k= N/m TL 7 8 9 HOME sin() cos() cotan() asin() tan() acos() E 1 4 5 6 acotan() sinh() 1 2 3 atan() cosh() cotanh() + END . tanh() ODegrees Radians 0 BACKSPACE VC DEL CLEAR Part (d) What is the maximum speed, in meter per second, of the block if its mass is m = 430 g? Vmax=

Problem 10: The restoring force in a Hooke's Law spring is a conservative force, and hence, the work done by that force is represented by a potential- energy function. Consider a spring with spring constant k. One end of the spring is fixed at the origin of the coordinate system, and the other is attached to an oscillating block with mass m. The diagram below shows the potential energy function for the spring and the total mechanical energy of the system. 14.0 12.0 U 10.0 Etotal 8.0 6.0 4.0+ 2.0 0.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 x(cm) Part (a) What is the equilibrium position, in centimeters, of the block? eq=18 ✓ Correct! Part (b) What is the position, in centimeters, of one of the turning points of the spring-mass system. Xturn = 14 ✔ Correct! Part (c) What is the value, in newtons per meter, of the spring constant? k= N/m TL 7 8 9 HOME sin() cos() cotan() asin() tan() acos() E 1 4 5 6 acotan() sinh() 1 2 3 atan() cosh() cotanh() + END . tanh() ODegrees Radians 0 BACKSPACE VC DEL CLEAR Part (d) What is the maximum speed, in meter per second, of the block if its mass is m = 430 g? Vmax=

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 65P: A block of mass 200 g is attached at the end of a massless spring of spring constant 50 N/m. The...

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