Spring force and frictionless mass vs speed

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SUMMARY

The discussion centers on a physics problem involving a mass (1.35 kg) attached to a spring (k = 747 N/m) on a frictionless surface. The mass is pushed with a constant force, stretching the spring and momentarily stopping after moving 15.0 cm. To find the speed of the mass at 4.50 cm into the motion, the user attempted to apply the energy conservation equation, 1/2mv^2 = 1/2K (x1^2 - x2^2), but was unsure about incorporating the force term. The solution requires a complete understanding of energy conservation and the role of force in the system.

PREREQUISITES
  • Understanding of classical mechanics principles, specifically energy conservation.
  • Familiarity with spring constant calculations (Hooke's Law).
  • Knowledge of kinematics and dynamics involving mass and force.
  • Ability to manipulate and solve quadratic equations.
NEXT STEPS
  • Study the principles of energy conservation in mechanical systems.
  • Learn about Hooke's Law and its applications in spring mechanics.
  • Explore the relationship between force, mass, and acceleration (Newton's Second Law).
  • Practice solving problems involving energy transformations in spring-mass systems.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of spring-mass systems and energy conservation principles.

wind
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Homework Statement


A mass
(m = 1.35 kg),
originally at rest, sits on a frictionless surface. It is attached to one end of an unstretched spring
(k = 747 N/m),
the other end of which is fixed to a wall (see figure below). The mass is then pushed with a constant force to stretch the spring. As a result, the system (which consists of the wall, spring and mass) comes to a momentary stop after the mass moves 15.0 cm. Find the following.(e) speed of the mass 4.50 cm into the motion

Homework Equations



The Attempt at a Solution


I tried 1/2mv^2 = 1/2K (x1^2-x2^2)
v= sqrt(K ( (0.15^2-0.045^2))/m

not sure how to solve this .. been at it for a while now.
 

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I haven't tried to solve it but... when the mass comes to a momentary halt you know all the applied energy is stored in the spring.
 
Hello wind, and welcome to PF.

Your attempt is based on an equation for energy conservation.
You might need another term. How about something that features F ?
 

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