A 0.210-kg block along a horizontaltrack has a speed of 1.20 m/simmediately befo

Question

A 0.210-kg block along a horizontaltrack has a speed of 1.20 m/simmediately before colliding with a light spring of force constant44.2 N/m located at the end of thetrack. (a) What is the spring's maximum compression ifthe track is frictionless?
1 m

(b) If the track is not frictionless, would the spring'smaximum compression be greater than, less than, or equal to thevalue obtained in part (a)?
2 greater less    equal (a) What is the spring's maximum compression ifthe track is frictionless?
1 m

(b) If the track is not frictionless, would the spring'smaximum compression be greater than, less than, or equal to thevalue obtained in part (a)?
2 greater less    equal 2 greater less    equal 2 greater less    equal 2

Explanation / Answer

mass of the block m = 0.21kg
Speed of the block before collision v = 1.2 m / s
force constant k = 44.2 N / m
(a). Let maximum compression of the spring be x then
from law of conservation of energy ( 1/2 ) kx^ 2= ( 1/ 2) mv ^2
from this x = v [ m / k ]

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