A 2250-kg test rocket is launched vertically from the launch pad. Its fuel (of n

Question

A 2250-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force so that its vertical velocity as a function of time is given by v(t) = At + Bt^2, where A and B are constants and time is measured from the instant the fuel is ignited. At the instant of ignition, the rocket has an upward acceleration of 2.00 m/s^2 and 1.70 s later an upward velocity of 2.31 m/s. Part E What thrust force does the burning fuel exert on t, assume no air resistance? Express the thrust as a multiple of the rocket?s weight T = 8.4 Part F What was the initial thrust due to the fuel? = 266 x 10 N

Explanation / Answer

Mass x acceleration = Thrust - Weight.
Ma = Thrust - Mg.
Thrust = Ma + Mg
   = Mg (a/g + 1)
Substituting a = 2 m/s2 and g = 9.8 m/s2,
Thrust = 1.2 Mg, so the answer is 1.2.

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