241_Dynamics 11ed Manual

241_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Units Used: Chapter 13 3 Mm = 10 km Given: e = 0.156 θ = 135 deg hp = 5 Mm G = 66.73 × 10 − 12 m 3 2 kg⋅ s Me = 5.976 × 10 24 kg Solution: 2 G Me ⎞ ⎛ hp v0 Ch 1⎛ ⎜1 − ⎟⎜ e= = 2 ⎟ ⎜ G Me G Me hp ⎜ ⎝ hp v0 ⎠ ⎝ 2 v0 = 1 hp hp G Me( e + 1) 2⎞ 2 ⎟ ⎟ ⎠ hp v v0 = 9.6 km s G Me G Me G Me ⎞ 1 1⎛ ⎜1 − ⎟ cos ( θ ) + = 2⎟ 22 r hp ⎜ hp v0 ⎝ hp v0 ⎠ 1 1⎛ 1⎛ 1 ⎞ 1⎞ = ⎜1 − ⎟ cos ( θ ) + ⎜ ⎟ r hp ⎝ hp ⎝ e + 1 ⎠ e + 1⎠ ⎛ e+1 ⎞ ⎟ ⎝ e⋅ cos ( θ ) + 1 ⎠ r = hp ⎜ r = 6.5 Mm 239 = e+1 ...
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