A block, whose mass is 0.560 kg, is attached to a spring with a force constant of 132 N/m. The block rests upon a frictionless, horizontal surface (shown in the figure below).(A block labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the block is displaced by a distance A to the right of its equilibrium position.) The block is pulled to the right a distance A = 0.140 m from its equilibrium position (the vertical dashed line) and held motionless. The block is then released from rest. (a)At the instant of release, what is the magnitude of the spring force (in N) acting upon the block? N (b)At that very instant, what is the magnitude of the block's acceleration (in m/s2)? m/s2 (c)In what direction does the acceleration vector point at the instant of release?

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Asked Nov 6, 2019
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A block, whose mass is 0.560 kg, is attached to a spring with a force constant of 132 N/m. The block rests upon a frictionless, horizontal surface (shown in the figure below).
(A block labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the block is displaced by a distance A to the right of its equilibrium position.)
 
The block is pulled to the right a distance A = 0.140 m from its equilibrium position (the vertical dashed line) and held motionless. The block is then released from rest.
 
(a)
At the instant of release, what is the magnitude of the spring force (in N) acting upon the block?
 N
 
(b)
At that very instant, what is the magnitude of the block's acceleration (in m/s2)?
 m/s2
 
(c)
In what direction does the acceleration vector point at the instant of release?
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Expert Answer

Step 1

a)

The magnitude of the force is,

-(132)(0.14)
18.48 N
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-(132)(0.14) 18.48 N

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Step 2

b)

The magnitude of the block&rsq...

F
a
18.48
0.56
33 m/s
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F a 18.48 0.56 33 m/s

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