Calculating Block Speed Before Compressing Spring

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SUMMARY

The discussion focuses on calculating the speed of a 4020 gram block sliding into a spring with a spring constant of 2500 N/m, which compresses 3.70 cm before coming to rest. The kinetic energy (KE) and spring potential energy (U_s) equations are utilized: KE = 1/2mv^2 and U_s = 1/2kx^2. The correct calculation yields a speed of 0.0292 m/s, emphasizing the importance of unit conversion from grams to kilograms and centimeters to meters for accurate results.

PREREQUISITES
  • Understanding of kinetic energy and potential energy equations
  • Knowledge of unit conversion (grams to kilograms, centimeters to meters)
  • Familiarity with Hooke's Law and spring constants
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the principles of energy conservation in mechanical systems
  • Learn about unit conversion techniques in physics problems
  • Explore Hooke's Law applications in real-world scenarios
  • Practice solving problems involving springs and kinetic energy
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of spring systems and energy conservation principles.

joshbrackeen
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1. A 4020 gram block slides on a frictionless surface into a spring and compresses it 3.70 cm before the block briefly comes to rest. The spring constant is 2500 N/m. Calculate the speed of the block just before it compresses the spring.



2. KE=1/2mv^2 and U_s=1/2kx^2



3. KE = U_s
2010v^2=1.71
v=0.0292 m/s


My professor received a different speed in her answer so I was wondering if I did something wrong.
 
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You've got to watch units and algebra. Convert grams to kg and cm to meters before solving, and try again. Your units must be consistent.
 

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