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newtons second law
∑F=ma
definition of newtons second law
the sum of all forces on an object is equal to the acceleration of the object times its mass
equation of motion for the hanging mass (m) in Atwood machine set up
mg -T =ma
equation for motion of cart (M) with kinetic friction (Fk)
T-Fk=Ma, T-μkMg=Ma
theoretical acceleration
a= (m-μkM/ m+M)g
the quantity represented by the coefficient of the t² term (A) in the quadratic trend line (C+Bt+At²)
half the systems acceleration (a/2)
what’s the plot of the carts position vs. time looks like during acceleration
a parabola
relationship used to estimate the coefficient of kinetic friction (μk) from carts deceleration
μk= a/g, where is the magnitude of the measured deceleration
quantities measured when moving the cart on the track and observing plots in capstone software
velocity and acceleration (and their scalar forms speed and magnitude)
what a very large δ might indicate
the results are unreliable or that the errors used in comparison are either too large or too small
what the straight-line analysis involves plotting
plotting the ameasured vs. atheoretical
formula for the force of kinetic friction (Fk) for the cary on. horizontal track
Fk=μkN or Fk= μkMg