Question: A 25,000-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered in the problem, assume that g remains

A 25,000-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered in the problem, assume that g remains constant (see Chapter 12).
Inside the rocket, a 15.0-N instrument hangs from a wire that can support a maximum tension of 35.0 N. (a) Find the minimum time for this rocket to reach the sound barrier (330 m}s) without breaking the inside wire and the maximum vertical thrust of the rocket engines under these conditions. (b) How far is the rocker above the earth's surface when it breaks the sound barrier?

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IDENTIFY Apply F m to the instrument and calculate the acceleration Then use constant acceleration equations to describe the motion SET UP The freebody diagram for the instrument is given in Figure 570 The instrument has mass mwg 1531 kg Tmg EXECUTE a For on the instrument F ma gives Tmg ma and a 1307 ms m Voy 0 v 330 ms a 1307 ms t Then v V a gives r 253s Consider forces on the rocket rocket has the same a Let F be the thrust of the rocket engines Fmgma and F mga 25000 kg 980 ms 1307 ms572x10N b yyoVotat gives yy4170 m EVALUATE The rocket and instrument have the same acceleration The ... View full answer

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