Math Q A model rocket has a mass of 0.12kg it accelerates vertically to 60.0m per s in 1.2s if the force of gravity on the rocket 1.2N what is the total thrust of its engine?

To find the total thrust of the rocket's engine, we first calculate the net force required for the rocket's acceleration using Newton's second law, ( F = ma ). The acceleration ( a ) can be found by dividing the change in velocity by time: ( a = \frac{60.0 , \text{m/s}}{1.2 , \text{s}} = 50.0 , \text{m/s}^2 ). The net force needed for this acceleration is ( F_{\text{net}} = 0.12 , \text{kg} \times 50.0 , \text{m/s}^2 = 6.0 , \text{N} ).

To find the total thrust ( F_{\text{thrust}} ), we add the force of gravity (1.2 N) to the net force: ( F_{\text{thrust}} = F_{\text{net}} + F_{\text{gravity}} = 6.0 , \text{N} + 1.2 , \text{N} = 7.2 , \text{N} ). Thus, the total thrust of the rocket's engine is 7.2 N.