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Physics 207 â Lecture 8 Home Exercise Newtonâs 2nd Law A force of 2 Newtons acts on a cart that is initially at rest on an air track with no air and pushed for 1 second. Because there is friction (no air), the cart stops immediately after I finish pushing. It has traveled a distance, D. Force Cart Air Track Next, the force of 2 Newtons acts again but is applied for 2 seconds. A. B. The new distance the cart moves relative to D is: C. D. 8 x as far 4 x as far 2 x as far 1/4 x as far Physics 207: Lecture 8, Pg 23 Home Exercise Solution Force Cart Air Track We know that under constant acceleration, âx = a (ât)2 /2 (when v0=0) Here ât2=2ât1, F2 = F1 â a2 = a1 1 a â t 22 ( âx2 2 2 â t1 )2 = = =4 â x1 1 a â t 2 â t12 1 2 (B) 4 x as long Physics 207: Lecture 8, Pg 24 Page 12