How Do Acceleration-Time Graphs Explain Motion?

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SUMMARY

The discussion focuses on the calculation of average acceleration and force for a 2.0 kg body moving in a straight line, with position data provided as x={0,2,4,6,8,10,12,14,16,18,20} s and velocity data as f(x)={10,10,20,30,50,50,50,20,10,5,0} m/s. The average acceleration is calculated as -0.5 m/s², leading to an average force of -1 N using the formula E = ma. Participants confirm the calculations are correct, clarifying that the force is indeed -1 N, indicating direction.

PREREQUISITES
  • Understanding of basic kinematics, including velocity and acceleration.
  • Familiarity with Newton's second law of motion (E = ma).
  • Ability to interpret and create acceleration-time graphs.
  • Knowledge of units of measurement in physics (e.g., kg, m/s², N).
NEXT STEPS
  • Study the construction and interpretation of acceleration-time graphs.
  • Learn more about Newton's laws of motion and their applications in real-world scenarios.
  • Explore advanced kinematics concepts, such as instantaneous acceleration.
  • Practice calculating forces in various motion scenarios using different masses and accelerations.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion and force calculations.

Spruance
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A 2,0 kg body moves along a straight line.

bilde.gif


x={0,2,4,6,8,10,12,14,16,18,20} s
f(x)={10,10,20,30,50,50,50,20,10,5,0} m/s


a)
Make a acceleration-time graph

c)
Calculate the average force working on this body
 
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I tried to make a acceleration graph. However, something is wrong with it.

ww.png



c) First I tried to find the average acceleration,

a = ((v - v0)/(t-t1)) = (0 m/s - 10 m/s)/(20-0)) = -0,5 m/s^2

then

E = ma

= 2 kg * -0,5 m/s^2

= - 1 N


Can anyone correct me?
 
From the data given, both your graphs and calculations are correct. Why do you believe it be wrong?

~H
 
Ok. It is - 1 N, and not 1 N?
 
Spruance said:
Ok. It is - 1 N, and not 1 N?

Yes, it is -1N from the given data.

~H
 

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