A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position (x = 0). The cube is then released and undergoes simple harmonic motion. A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position. (a) Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0) to the pre-release position (xi). J (b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from xi? m/s
A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position (x = 0). The cube is then released and undergoes simple harmonic motion. A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position. (a) Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0) to the pre-release position (xi). J (b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from xi? m/s
A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position (x = 0). The cube is then released and undergoes simple harmonic motion. A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position. (a) Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0) to the pre-release position (xi). J (b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from xi? m/s
A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position
(x = 0).
The cube is then released and undergoes simple harmonic motion.
A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position.
(a) Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0) to the pre-release position (xi).
J
(b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from
xi?
m/s
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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