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Q. The thrust developed by a rocket-motor is given by $F=m v +A\left(p_{1}-p_{2}\right)$, where $m$ is the mass of the gas ejected per unit time, $v$ is velocity of the gas, $A$ is area of cross-section of the nozzle, $p_{1},\, p_{2}$ are the pressures of the exhaust gas and surrounding atmosphere. The formula is dimensionally

Physical World, Units and Measurements

Solution:

Each of the three terms in the given equation has the dimensional formula of force.