A rocket engine has a sea level specific impulse of $210 \mathrm{~s}$ and a nozzle throat area of $0.005 \mathrm{~m}^{2}$. While testing at sea level conditions, the characteristic velocity and pressure for the thrust chamber are $1900 \mathrm{~m} / \mathrm{s}$ and 50 bar, respectively. Assume the acceleration due to gravity to be $9.8 \mathrm{~m} / \mathrm{s}^{2}$. The thrust produced by the rocket engine is_______________ $\quad \mathrm{kN}$ (round off to one decimal place).
A rocket engine has a sea level specific impulse of $210 \mathrm{~s}$ and a nozzle throat area of $0.005 \mathrm{~m}^{2}$. While testing at sea level conditions, the characteristic velocity and pressure for the thrust chamber are $1900 \mathrm{~m} / \mathrm{s}$ and 50 bar, respectively. Assume the acceleration due to gravity to be $9.8 \mathrm{~m} / \mathrm{s}^{2}$. The thrust produced by the rocket engine is_______________ $\quad \mathrm{kN}$ (round off to one decimal place).
A critically damped single degree of freedom spring-mass-damper system used in a door closing mechanism becomes overdamped due to softening of the spring with
extended use. If the new damping ratio (\xinew) for overdamped condition is $1.2,$ the ratio of the original spring stiffness to the new spring stiffness $\left(k_{\text {org }} / k_{\text {new }}\right)$, assuming that the other parameters remain unchanged, is __________(round off to two decimal places).
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