A 3.00-kg object is free to slide on a horizontal surface. The object is attached to a spring of spring constant 300 N/m ,and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched 70.0 mm from its relaxed position. The object is not released from rest, but is instead given an initial velocity of 2.50 m/s away from the wall. Ignore friction. |
Part A Determine the energy of the oscillating system. Express your answer with the appropriate units.
Part B Select the correct equation for the object's position x as a function of time. Suppose that x=0 is the equilibrium position and the direction away from the wall is the positive direction of x. Select the correct equation for the object's position as a function of time. Suppose that is the equilibrium position and the direction away from the wall is the positive direction of .
Part C Determine the value of A in the equation for the object's position. Suppose that A>0. Express your answer with the appropriate units. Part D Determine the value of ω in the equation for the object's position. Suppose that ω>0. Express your answer with the appropriate units. Part E Determine the value of ϕi in the equation for the object's position. Suppose that −π<ϕi≤π. |
A 3.00-kg object is free to slide on a horizontal surface. The object is attached to...
A 2.00-kg object is free to slide on a horizontal surface. The object is attached to a spring of spring constant 300 N/m , and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched 50.0 mm from its relaxed position. The object is not released from rest, but is instead given an initial velocity of 2.50 m/s away from the wall. Ignore...
A 2.00-kg object is free to slide on a horizontal surface. The object is attached to a spring of spring constant 300 N/ m, and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched 50.0 mm from its relaxed position. The object is not released from rest but is instead given an initial velocity of 2.50 m/s away from the wall. Ignore...
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Learning Goal: To understand the application of the general harmonic equation to the kinematics of a spring oscillator. One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be x=0. The length of the relaxed spring is L. (Figure 1) The block is slowly...
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