2.5: Selected Answers

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¹ r2 = 1.4 m

² t2 = 1.45 m

³ t3 = 3.4 s

⁴ t3 = 4.55 s

⁵ r3 = 36.6 m

⁶ r3 = 3520 m

⁷ r2 = 14.9 m

⁸ r4 = 2000 m

⁹ t4 = 3.7 x 105 s

¹⁰ t2 = 14.9 s

¹¹ t2 = 7.8 s

¹² t3 = 15.7 s

¹³ t3 = 2.87 s

¹⁴ F rope = 420 N

¹⁵ F cushion = 1910 N

¹⁶ a ≥ 4.49 m/s2

¹⁷ t2 = 17.1 s to reach ground

¹⁸ F cushion = 2830 N

¹⁹ F ground = 43700 N

²⁰ r3 = 63.5 m

²¹ r3 = 1550 m

²² m block = 240 kg

²³ m block = 26 kg

²⁴ F rope = 500 N

²⁵ F rope = 466 N

²⁶ a. F scale = 755 N b. F scale = 780 N

²⁷ a. v = 17.5 m/s b. t = 17.1 s

²⁸ a. v = 116 m/s b. t = 26.8 s

²⁹ a. v = 12.5 m/s b. F ground = 43700 N

³⁰ t2 = 0.89 s r2 = 1.78 m

³¹ m student = 94 kg

³² v2 = 6.0 m/s

³³ Student falls 5.0 m in 3.03 s

³⁴ v2 = 1.5 m/s

³⁵ v1 slowship = 0.029c = 8.73 x 10⁶ m/s

³⁶ v2 fastship = 0.052c = 1.56 x 10⁷ m/s

³⁷ v2 ship = 24.3 m/s

³⁸ v probe = 667 m/s

³⁹ v2 platform = 0.28 m/s

⁴⁰ v2 platform = 0.025 m/s

⁴¹ v2 balloon = 6.3 m/s