A 10-kg block is attached to one end of a horizontal spring on a level, frictionless surface. The other end of the spring is attached to a vertical support. The spring obeys Hooke's law and has a spring constant of k = 160 N/m. A physics student pulls the block outward so that the spring stretches by 40 cm. The student releases the block at time t = 0.00 s. Which of the following equations properly gives the position as a function of time? a. x(t) = (- 6.4 m/s2)cos(4.0t) O b. x(t) = (0.40 m)cos(4.0t) O c. x(t) = (4.0 m)cos(0.40t) O d. x(t) = (10 m)cos(4.0t) O e. x(t) = (- 1.6 m/s)sin(4.0t)

A 10-kg block is attached to one end of a horizontal spring on a level, frictionless surface. The other end of the spring is attached to a vertical support. The spring obeys Hooke's law and has a spring constant of k = 160 N/m. A physics student pulls the block outward so that the spring stretches by 40 cm. The student releases the block at time t = 0.00 s. Which of the following equations properly gives the position as a function of time? a. x(t) = (- 6.4 m/s2)cos(4.0t) O b. x(t) = (0.40 m)cos(4.0t) O c. x(t) = (4.0 m)cos(0.40t) O d. x(t) = (10 m)cos(4.0t) O e. x(t) = (- 1.6 m/s)sin(4.0t)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 11PQ: A 1.50-kg mass is attached to a spring with spring constant 33.0 N/m on a frictionless, horizontal...

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Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
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