Solving Constant Force on Particle Motion

AI Thread Summary
To determine if a constant force is acting on a particle, one must analyze the motion equation to find acceleration. According to Newton's second law, a constant force results in constant acceleration. If the second derivative of the motion equation (acceleration) is constant, then a constant force is present. Conversely, if the motion equations yield linear results, the acceleration is zero, indicating no force is acting on the particle. Understanding the relationship between position, velocity, and acceleration is crucial for this analysis.
Broodwich08
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Im having trouble understanding that if i have an equation for the motion of a particle how can i find out that a constant force is being acted upon the particle? Any help would be appreciated thank you.
 
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Newton's second law. Constant force would imply constant acceleration, and vice versa. If you can find acceleration, there is your answer.
 
Broodwich08 said:
Im having trouble understanding that if i have an equation for the motion of a particle how can i find out that a constant force is being acted upon the particle? Any help would be appreciated thank you.

Could you give us an example of the equations you're working with?
 
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Hi Broodwich08! Welcome to PF! :wink:

Just to add to what K^2 :smile: says:

if your equation is x = f(t), then the speed is f'(t), adn the acceleration is f''(t), so you need to check whether f''(t) is constant. :wink:
 
Hmm derive into accel...looks like I'm getting linear lines for x and y so there is no constant force right. They are parametric equations btw
 
Yes, if x and y are linear (in a parameter, s, say), then the velocity (dy/ds / dx/ds) is constant, and the acceleration is zero, so the applied force is zero. :smile:
 
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