A horizontal spring attached to a wall has a force constant of 890 N/m. A block of mass 1.40 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. x=0 (a) KE0 (b) PE, -0 (c) (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 5.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. x = 5.00 3 x = 0
A horizontal spring attached to a wall has a force constant of 890 N/m. A block of mass 1.40 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. x=0 (a) KE0 (b) PE, -0 (c) (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 5.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. x = 5.00 3 x = 0
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter13: Vibrations And Waves
Section: Chapter Questions
Problem 15P: A horizontal block-spring system with the block on a frictionless surface has total mechanical...
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F. What is the speed at the halfway point?
![A horizontal spring attached to a wall has a force constant of 890 N/m. A block of mass 1.40 kg.is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below.
The initial goal of this problem is to find the velocity at the equilibrium point after the block is released.
x=0
(a)
x=0
PE, =
KE= 0
(b)
x=0
PE, = 0
(c)
(a) What objects constitute the system, and through what forces do they interact?
(b) What are the two points of interest?
(c) Find the energy stored in the spring when the mass is stretched 5.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest.
X = 5.00 3
X J
X = 0
4
X J
(d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. (Do this on paper. Your instructor may ask you to turn in this
work.)
(e) Substitute to obtain a numerical value.
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F767d545d-2be5-4517-8802-8506a8e9b772%2F7b3eb709-dfbb-481d-afc9-fc97a75db5c0%2F55evph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A horizontal spring attached to a wall has a force constant of 890 N/m. A block of mass 1.40 kg.is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below.
The initial goal of this problem is to find the velocity at the equilibrium point after the block is released.
x=0
(a)
x=0
PE, =
KE= 0
(b)
x=0
PE, = 0
(c)
(a) What objects constitute the system, and through what forces do they interact?
(b) What are the two points of interest?
(c) Find the energy stored in the spring when the mass is stretched 5.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest.
X = 5.00 3
X J
X = 0
4
X J
(d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. (Do this on paper. Your instructor may ask you to turn in this
work.)
(e) Substitute to obtain a numerical value.
m/s
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