The initial acceleration, a, of a rocket fired from Earth, with an initial thrus

Question

The initial acceleration, a, of a rocket fired from Earth, with an initial thrust, T, is given by this formula: a = T - mg _____ ma is the initial acceleration. T is the thrust in Newtons, m is the mass in kg.g is the acceleration caused by gravity in m/s^2. a. Determine the units of the initial acceleration by calculating the units resulting from the right side of the equation. b. Determine the initial acceleration of a rocket having a mass of 5 times 10^4 kg and an initial thrust of 6 times 10^5 Newtons. The value of g is 9.81 m/s^2.

Explanation / Answer

a) units of acceleration

UNITS of T anf mg are newtons anf mass is kg

N = kg m/s^2

units of initial acceleration is a = m/s^2

b) a = 6*10^5-5*10^4*9.81/5*10^4

a = 2.19 m/s^2

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