Newton's 2nd Law: Force, Mass, & Acceleration

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SUMMARY

Newton's Second Law states that force (F) is the product of mass (m) and acceleration (a), expressed as F=ma. In the context of two 1 kg objects, one traveling at 100 m/s and another at rest, the force is zero until they collide. Upon impact, a force is indeed involved due to the change in velocity, which can be classified as negative acceleration during deceleration. The mathematical relationship confirms that any change in velocity, whether an increase or decrease, results in a force acting on the object.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Basic knowledge of physics concepts such as force, mass, and acceleration
  • Familiarity with the concept of instantaneous velocity
  • Ability to perform basic algebraic calculations
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  • Study the implications of Newton's Laws in various physical scenarios
  • Explore the concept of momentum and its relation to force
  • Learn about the effects of collisions in physics, including elastic and inelastic collisions
  • Investigate the mathematical derivation of F=ma and its applications in real-world problems
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Students of physics, educators teaching Newtonian mechanics, and anyone interested in understanding the principles of force and motion in practical applications.

Alan3030
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Apologies for what I assume is a rookie question. Given F=ma if you have a 1 kg object traveling in e.g. space say x @ 100m/s then F = 0 on that object. If you have another 1kg object say y sitting at 0 m/s, F=0. If they impact there must be force involved? Does negative acceleration give you a F? if so what's the math?
 
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Yes a force is involved anytime there is an acceleration an increase in velocity or a deceleration a decrease in velocity. A deceleration is a negative acceleration. Force on an object is equal to the mass of the object times the instantaneous time rate of change of its velocity.
 
Thanks that makes sense now :)
 

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