E MasteringPhyves HW periodic Metion Google Chorne i. Secure I https//sessionmas
ID: 1874354 • Letter: E
Question
E MasteringPhyves HW periodic Metion Google Chorne i. Secure I https//sessionmastenng Consider the system shown in the ngure (rigure 1) consists of a block of mass m attached to a spring of negligble mass and force constant k The block is free to move on a frictionless horizontal surface, while the left end of the spring is held fixed. When the spring is neither compressed nor stretched, the block is in equilibrium If the spring is stretched, the block is displaced to the right and when it is released, a force acts on it to pull it back toward equlibrium By the time the block has returned to the equilibrium positionit PartB As shown in the figure(Figure 2), a coordinate system with the origin at the equilbrium positionis chosen so that the x coordinate represents the displacement from the equilibrium posaion. (The positive direction is to the right ) what is the initial acceleration of the block, dao·when te block is released at a distance A from its equilibrium position? Express your answer in terms of some or all of the variables A, m, and View Available Hint(s) FigureExplanation / Answer
b) The x component of the net force acting on the block is due exclusively to the force exerted by the spring, since all the other forces (gravity and the normal force) act in the vertical direction.
Fx = mao = -kA =======> ao = -kA/m
c) an object in equilibrium does not accelerate ======> a1 = 0
d) No question available
e) Since the acceleration is directly proportional to displacement, it must reach its maximum value when displacement is maximum.
f) When the block is in motion, its speed can be zero only when its velocity changes sign, that is, when the direction of motion changes.
g) As the block moves from its rightmost position to its leftmost position, its speed increases from zero to a certain value and then decreases back to zero. This means that as the block moves away from its rightmost position toward its leftmost position, its acceleration decreases from positive values to negative values. In particular, the location where the block's acceleration changes sign must also be the negative values. In particular, the location where the block's acceleration changes sign must also be the location where its speed reaches its maximum value, where it stops increasing and starts to decrease.
h) vx = -B*sin(wt), ax = -C*cos(wt)
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