Spring Scale Problem: Finding Time w/ Force & Mass

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SUMMARY

The discussion revolves around calculating the time it takes for a 1.5 kg object to travel 2.7 m under a constant force of 1.3 N using a spring scale. The user correctly identifies the need to apply Newton's second law (F=ma) to find acceleration and subsequently uses the kinematic equation \(\Delta X = V_0 t + 0.5 a t^2\) to solve for time. The calculated time of 2.49 seconds is questioned, indicating a need for verification. Additionally, the user inquires about determining the spring constant (k) using Hooke's Law (F=kx).

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with kinematic equations
  • Knowledge of Hooke's Law (F=kx)
  • Basic algebra for solving equations
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  • Verify the calculation of time using the kinematic equation with proper substitution
  • Learn about the relationship between force, mass, and acceleration in physics
  • Explore methods to calculate the spring constant (k) using experimental data
  • Study the implications of frictionless surfaces on motion and force applications
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Students studying physics, educators teaching mechanics, and anyone interested in practical applications of force and motion principles.

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Homework Statement


You use a spring scale to pull a 1.5 kg object on a horizontal frictionless surface with a constant horizontal force of 1.3 N (according to the scale reading). You use a stopwatch to time how long it takes the object, starting from rest, to cover a distance of 2.7 m. What is the reading of the stopwatch?

Homework Equations


F=-KX
F=ma
\Delta X=volt+.5aT^2

The Attempt at a Solution


So I did a=F/m to get the acceleration then plugged that into \Delta X=volt+.5aT^2 and Vo is equal to 0. After i plugged it all in I got 2.49, is that right? For some reason it seems wrong.
 
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On a side note, is possible to find k using f=kx?
 

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