Rockets are propelled by the ejection of the products of the combustion of fuel. Consider a rocket

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Rockets are propelled by the ejection of the products of the combustion of fuel. Consider a rocket of total mass m1 to be traveling at speed v1 in a region of space where gravitational forces are negligible. Suppose that the combustion products are ejected at a constant speed vr relative to the rocket. Show that a fuel ?burn? which reduces the total mass of the rocket to m2 results in an increase in the speed of the rocket to v2, such that

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Suppose that 2.1 x 106 kg of fuel are consumed during a ?burns? lasting 1.5 x 102 s. Given that there is a constant force on the rocket of 3.4 x 107 N during this ?bum?, calculate vr. Hence calculate the increase in speed resulting from the ?burn? if m1 is 2.8 x 106 kg. What is the initial vertical acceleration that can be imparted to this rocket when it is launched from Earth, if the initial mass is 2.8 x 106 kg?

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