A block of mass m = 0.765 kg isfastened to an unstrained horizontal spring whose

Question

A block of mass m = 0.765 kg isfastened to an unstrained horizontal spring whose spring constantis k = 91.0 N/m. The block isgiven a displacement of +0.120 m, where the + sign indicates thatthe displacement is along the +x axis, and then releasedfrom rest. (a) What is the force (magnitude and direction)that the spring exerts on the block just before the block isreleased?
1 N

(b) Find the angular frequency of the resultingoscillary motion.
2 rad/s

(c) What is the maximum speed of the block?
3 m/s

(d) Determine the magnitude of the maximum acceleration of theblock.
4 m/s2 (a) What is the force (magnitude and direction)that the spring exerts on the block just before the block isreleased?
1 N

(b) Find the angular frequency of the resultingoscillary motion.
2 rad/s

(c) What is the maximum speed of the block?
3 m/s

(d) Determine the magnitude of the maximum acceleration of theblock.
4 m/s2

Explanation / Answer

Given that A block of mass (m) = 0.765kg
The horizontal spring whose spring constant is (k) =91.0 N/m.
The block is given a displacement of(x) = +0.120 m a) The force (magnitude and direction) that the spring exerts onthe block just before the block is released is given by                         F = - kx b) The angular frequency of the resulting oscillatorymotion is                          = k/m c) The maximum speed of the block is                          vmax = x       (substitute the value of from part b) d) The magnitude of the maximum acceleration of the block isgiven by                           amax=2x        (substitute the value of from part b) Now substitute all the above values to get the requiredanswer
         a) The force (magnitude and direction) that the spring exerts onthe block just before the block is released is given by                         F = - kx b) The angular frequency of the resulting oscillatorymotion is                          = k/m c) The maximum speed of the block is                          vmax = x       (substitute the value of from part b) d) The magnitude of the maximum acceleration of the block isgiven by                           amax=2x        (substitute the value of from part b) Now substitute all the above values to get the requiredanswer
        

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