L k = 100 N/m ell e 1.0 kg X = -0.5 m x = 0.0 m x = 0.5 m A block of mass 1.0 kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 100 N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x = 0 m. The block is then pulled to x = 0.5 m and released from rest so that the block-spring system oscillates between x = -0.5 m and x = 0.5 m, as shown in the figure. Which of the following descriptions about the system are correct? Select two answers. The kinetic energy of the block and the spring potential energy of the system at A x = 0.25 m are both half of the total mechanical energy of the system. The spring potential energy of the system at x = 0.25 m is nearly 3.13 J. The kinetic energy of the system at C x = 0.3 m is nearly 4.5 J. The sum of the spring potential energy of the system and the kinetic energy of the block at x = 0.4 m is nearly D 12.5 J.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 55P: A horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00...
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k = 100 N/m
ell
1.0 kg
X = -0.5 m
x = 0.0 m
x = 0.5 m
A block of mass 1.0 kg on a horizontal surface is
attached to a horizontal spring of negligible mass and
spring constant 100 N/m. The other end of the spring
is attached to a wall, and there is negligible friction
between the block and the horizontal surface. When the
spring is unstretched, the block is located at x = 0 m.
The block is then pulled to x = 0.5 m and released
from rest so that the block-spring system oscillates
between x = -0.5 m and x = 0.5 m, as shown in the
figure.
Which of the following descriptions about the system are
correct? Select two answers.
The kinetic energy of the block and the
spring potential energy of the system at
A
x = 0.25 m are both half of the total
mechanical energy of the system.
The spring potential energy of the
system at x = 0.25 m is nearly
3.13 J.
The kinetic energy of the system at
x = 0.3 m is nearly 4.5 J.
The sum of the spring potential energy
of the system and the kinetic energy of
the block at x = 0.4 m is nearly
12.5 J.
Transcribed Image Text:k = 100 N/m ell 1.0 kg X = -0.5 m x = 0.0 m x = 0.5 m A block of mass 1.0 kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 100 N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x = 0 m. The block is then pulled to x = 0.5 m and released from rest so that the block-spring system oscillates between x = -0.5 m and x = 0.5 m, as shown in the figure. Which of the following descriptions about the system are correct? Select two answers. The kinetic energy of the block and the spring potential energy of the system at A x = 0.25 m are both half of the total mechanical energy of the system. The spring potential energy of the system at x = 0.25 m is nearly 3.13 J. The kinetic energy of the system at x = 0.3 m is nearly 4.5 J. The sum of the spring potential energy of the system and the kinetic energy of the block at x = 0.4 m is nearly 12.5 J.
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