2.2 kg block slides with a speedof 1.1 m/s on a frictionless, horizontal surface
ID: 1757079 • Letter: 2
Question
2.2 kg block slides with a speedof 1.1 m/s on a frictionless, horizontal surface until itencounters a spring. (a) If the block compresses the spring4.6 cm before coming to rest, what isthe force constant of the spring?1 N/m
(b) What initial speed should the block have to compress the springby 1.7 cm?
2 m/s (a) If the block compresses the spring4.6 cm before coming to rest, what isthe force constant of the spring?
1 N/m
(b) What initial speed should the block have to compress the springby 1.7 cm?
2 m/s
Explanation / Answer
x=4.6 cm=0.046 m k=force constant of the spring kinetic energy of thebody=(1/2)*m*v2=(1/2)*2.2*1.12=1.331 J (1/2)*k*x2=1.331 (1/2)*k*0.0462=1.331 k=1258.03 N/m if compressed by 1.7 cm=0.017 cm let it's velocity=v (1/2)*2.2*v2=(1/2)*k*0.0172 v=0.41 m/s
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