Question

At launch, the new rocket became the most powerful rocket in operation. It is capable of producing 5 million pounds of thrust (about 2.22 × 107 newtons). At launch, the rocket has a mass of about 1.42 × 106 kg. Estimate the acceleration of the rocket while it is still near the surface of the Earth and its engines must work against Earth's gravitational force. 2.

Answer 1

Hi,

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We know that, Acceleration of a rocket at lift-off (near earth's surface) is given by,

$a=\frac{\mathbf{ResultantForce}}{\mathbf{Mass}}=\mathbf{\frac{Thrust-Weight}{Mass}}$

Here, We have,

Thrust produced by Rocket, $=2.22\times10^{7}\mathbf{N}$

Mass of rocket, $=1.42\times10^{6}\mathbf{kg}$

Weight of rocket= Mass of rocket $\times$ Acceleration due to gravity(g)

$=1.42\times10^{6}\mathbf{kg}\times9.8\mathbf{m/s^{2}}=1.4\times10^{7}\mathbf{N}$

$\therefore$ACCELERATION OF ROCKET AT LIFT-OFF,

$a=\mathbf{\frac{Thrust-Weight}{Mass}}=\frac{2.22\times10^{7}\mathbf{N}-1.4\times10^{7}\mathbf{N}}{1.42\times10^{6}\mathbf{kg}}=\mathbf{5.77m/s^{2}}$

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