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3. conclusion: explain the relationship observed in question 2 using th…

Question

  1. conclusion: explain the relationship observed in question 2 using the term inertia.
  2. free body diagram: draw a free body diagram for the cart during trial 4. label the four forces: fg, fn, fapplied, and ff. ensure your vectors show that the fapplied is greater than the ff.
  3. algebra challenge: if you performed a trial where fapplied was exactly equal to ff, what would the net force (fnet) and the resulting acceleration (a) be?

Explanation:

Step1: Recall net - force formula

According to Newton's second law, $F_{net}=F_{applied}-F_{f}$.

Step2: Set $F_{applied}=F_{f}$

When $F_{applied} = F_{f}$, then $F_{net}=F_{applied}-F_{f}=0$.

Step3: Calculate acceleration

Since $F_{net} = ma$ (Newton's second law) and $F_{net}=0$, then $0 = ma$. Assuming the mass $m
eq0$, we can solve for acceleration $a$. Dividing both sides of the equation $0 = ma$ by $m$ gives $a = 0$.

Answer:

$F_{net}=0$, $a = 0$