Homework Answers
Here we use concept of simple harmonic motion and its equation,
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13.7 A 5 kg mass is attached to a spring with a spring constant of 490...
A mass of 0.5 kg is attached to a horizontal spring with a spring constant of...
A mass of 0.5 kg is attached to a horizontal spring with a spring constant of 8.0 N/m. The spring is stretched and released and it is found that the velocity of the mass is -0.204 m/s and the acceleration of the mass is +0.907 m/s2 at time t= 0.14 s. + 1. Write an expression for the position of the mass as a function of time. 2. What is the position of the mass and which direction is it...
14. A mass m = 0.25 kg that is attached to a spring with spring constant...
14. A mass m = 0.25 kg that is attached to a spring with spring constant k = 100 N/m is stretched 10 cm to the right of its equilibrium position. After a time t = 1 s, the mass is how far from the equilibrium position? ((+) equals to the right. (-) to the left.) a) +4.08 cm b) +2.97 cm c) -9.63 cm d) -1.28 cm e) -6.67 cm 15. A simple pendulum has a period of 3...
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg...
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg and stretched horizontally to a position 15.0 cm from the springs equilibrium position. The spring and mass are released and oscillate in simple harmonic motion across a frictionless horizontal surface. What is the maximum speed obtained by the mass? m/s
A 0.64 kg mass is attached to a light spring with a force constant of 23.9...
A 0.64 kg mass is attached to a light
spring with a force constant of 23.9 N/m and set into oscillation
on a horizontal frictionless surface. If the spring is stretched
5.0 cm and released from rest, determine the following.
(a) maximum speed of the oscillating mass
_____ m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
_____ m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A 0.76 kg mass is attached to a light spring with a force constant of 27.9...
A 0.76 kg mass is attached to a light spring with a force constant of 27.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.56 kg mass is attached to a light spring with a force constant of 33.9...
A 0.56 kg mass is attached to a light spring with a force constant of 33.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A block of mass m = 6.14 kg is attached to a spring with spring constant...
A block of mass m = 6.14 kg is attached to a spring with spring constant k = 1682 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.135 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (b) Where is the block located 3.24 s after it is released? (Give...
A 0.28 kg mass is attached to a light spring with a force constant of 34.9...
A 0.28 kg mass is attached to a light spring with a force constant of 34.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.40 kg mass is attached to a light spring with a force constant of 23.9...
A 0.40 kg mass is attached to a light spring with a force constant of 23.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A mass of 0.5 kg is attached to a horizontal spring with a spring constant of 8.0 N/m. The spring is stretched and released and it is found that the velocity of the mass is -0.204 m/s and the acceleration of the mass is +0.907 m/s2 at time t= 0.14 s. + 1. Write an expression for the position of the mass as a function of time. 2. What is the position of the mass and which direction is it...
A 0.64 kg mass is attached to a light
spring with a force constant of 23.9 N/m and set into oscillation
on a horizontal frictionless surface. If the spring is stretched
5.0 cm and released from rest, determine the following.
(a) maximum speed of the oscillating mass
_____ m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
_____ m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A 0.76 kg mass is attached to a light spring with a force constant of 27.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.56 kg mass is attached to a light spring with a force constant of 33.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.28 kg mass is attached to a light spring with a force constant of 34.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.40 kg mass is attached to a light spring with a force constant of 23.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
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