An experimental rocket sled on a level, frictionless track has a mass of 1.4 X 104 kg. It propels itself by expelling gases from its rocket engines at a rate of 10 kg/s, at an exhaust speed of 2.5 × 104 m/s relative to the rocket. For how many seconds must the engines burn if the sled is to acquire a speed of 5.0 X 10¹ m/s starting from rest? You may ignore the small decrease in mass of the sled and the small speed of the rocket compared to the exhaust gas.

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Chapter1: Units, Trigonometry. And Vectors
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G12 physics

22. An experimental rocket sled on a level, frictionless
track has a mass of 1.4 × 104 kg. It propels itself by
expelling gases from its rocket engines at a rate of
10 kg/s, at an exhaust speed of 2.5 X 104 m/s relative
to the rocket. For how many seconds must the
engines burn if the sled is to acquire a speed of
5.0 × 10¹ m/s starting from rest? You may ignore the
small decrease in mass of the sled and the small speed
of the rocket compared to the exhaust gas.
Transcribed Image Text:22. An experimental rocket sled on a level, frictionless track has a mass of 1.4 × 104 kg. It propels itself by expelling gases from its rocket engines at a rate of 10 kg/s, at an exhaust speed of 2.5 X 104 m/s relative to the rocket. For how many seconds must the engines burn if the sled is to acquire a speed of 5.0 × 10¹ m/s starting from rest? You may ignore the small decrease in mass of the sled and the small speed of the rocket compared to the exhaust gas.
24. Two nuclei undergo a head-on elastic collision. One
nucleus of mass m is initially stationary. The other
nucleus has an initial velocity v and a final velocity of
V
. Determine the mass of the second nucleus in
5
terms of m.
Transcribed Image Text:24. Two nuclei undergo a head-on elastic collision. One nucleus of mass m is initially stationary. The other nucleus has an initial velocity v and a final velocity of V . Determine the mass of the second nucleus in 5 terms of m.
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