P=(d/M)RT/:RT d/M=P/RT MP=dRT/:P M=(dRT)/P s=ar(x+r)/:ar x+r=s/ar x=(s/ar)-r s=vt+(at²/2)/*2 2s=2vt+at² at²=2s-2vt/:t² a=(2s-2vt)/t² F=G(Mm/r²)/*r² Fr²=GMm/:GM m=Fr²/GM
ZADANIE NR 48 a) P = d/M * RT /* M dla M ≠ 0 P M = d R T M = d R T / P dla P ≠ 0 --------------------------------------------------- b) s = a r (x + r) s = a r x + a r² s - a r² = a r x x = (s - a r²) / a r lub x = s/a r - r dla a r ≠ 0 ----------------------------------------------------------------------------------------- c) s = v t + 1/2 * a t² /* 2 2 s = 2 v t + a t² 2 s - 2 v t = a t² a = 2 (s - v t) / t² dla t ≠ 0 --------------------------------------------------------------------------------- d) F = G M m / r² /* r² dla r ≠ 0 F r² = G M m m = F r² / G M dla G M ≠ 0