2kg block collides with a massless spring of springconstant 97 N/m attached to a

Question

2kg block collides with a massless spring of springconstant 97 N/m attached to a wall.The speed of the block wasobserved to be 1.5 m/s at the moment of collision. The accelerationof gravity is 9.8m/s2. How far does the spring compressif the surgace on which the mass moves is frictionless?Answer inunits of cm. Part II: The maximum distance to which the spring wascompressed was observed to be 12.9232cm. What is the kineticcoefficient of friction between the block and the floor? Part III: Given: The coefficient of static friction betweenthe floor and the block is 0.852758. Does the block remain at restor does it bounce back off the spring once the spring is fullycompressed? 1. Stays at rest 2. Bounces back 3. Cannot be determined 2kg block collides with a massless spring of springconstant 97 N/m attached to a wall.The speed of the block wasobserved to be 1.5 m/s at the moment of collision. The accelerationof gravity is 9.8m/s2. How far does the spring compressif the surgace on which the mass moves is frictionless?Answer inunits of cm. Part II: The maximum distance to which the spring wascompressed was observed to be 12.9232cm. What is the kineticcoefficient of friction between the block and the floor? Part III: Given: The coefficient of static friction betweenthe floor and the block is 0.852758. Does the block remain at restor does it bounce back off the spring once the spring is fullycompressed? 1. Stays at rest 2. Bounces back 3. Cannot be determined

Explanation / Answer

mv2/2 = kx2/2
x = v(m/k) = 0.215387 m = 21.5387 cm

Part II: The maximum distance to which the spring was compressedwas observed to be x' = 12.9232cm. What is the kinetic coefficientof friction between the block and the floor?
mv2/2 = kx'2/2 + mgx'
= (mv2 - kx'2)/(2mgx') =0.569

Part III: Given: The coefficient of static friction betweenthe floor and the block is 0.852758. Does the block remain at restor does it bounce back off the spring once the spring is fullycompressed? 1. Stays at rest 2. Bounces back 3. Cannot be determined

kx' = 12.5 N
0.852758* mg = 16.71 N
note kx' < 0.852758* mg, so the block will stay atrest

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