![1-7. Which of the following equations are dimensionally correct? (a) F = ma, (b) x = ½at3, (c) E = ½mv, (d) E = max, (e) v = Fx/m. (a) [F] = [M][L]/[T]2; [ma] = [M][a] = [M][L]/[T]2, so (a) is correct. (b) [x] = [L]; [½at3] = [a][T]3 = [L]/[T]2 × [T]3 = [L][T], so (b) is not correct ...](http://crab.rutgers.edu/~cowley/genphys/probs0image0.gif "1-7. Which of the following equations are dimensionally correct? (a) F = ma, (b) x = ½at3, (c) E = ½mv, (d) E = max, (e) v = Fx/m. (a) [F] = [M][L]/[T]2; [ma] = [M][a] = [M][L]/[T]2, so (a) is correct. (b) [x] = [L]; [½at3] = [a][T]3 = [L]/[T]2 × [T]3 = [L][T], so (b) is not correct ...")
1-7. Which of the following equations are dimensionally correct? (a) F = ma, (b) x = ½at3, (c) E = ½mv, (d) E = max, (e) v = Fx/m. (a) [F] = [M][L]/[T]2; [ma] = [M][a] = [M][L]/[T]2, so (a) is correct. (b) [x] = [L]; [½at3] = [a][T]3 = [L]/[T]2 × [T]3 = [L][T], so (b) is not correct ...
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