Answer:
576,000 N
Explanation:
According to Newton's second law of motion, the net force (∑F) on an object is equal to its mass (m) times its acceleration (a). The acceleration is equal to the change in velocity (Δv) over change in time (Δt). Drawing a free-body diagram, there are two forces on the booster: weight force mg pulling down, and thrust force T pushing up.
[tex]\Large \text {$ \Sigma F=ma $}\\\Large \text {$ T-mg=m $}\huge \text {$ \frac{\Delta v}{\Delta t} $}\\\Large \text {$ T-245,000\ N=(25,000\ kg) $}\huge \text {$ \frac{(0\ m/s-(-172\ m/s))}{13\ s} $}\\\Large \text {$ T\approx 576,000\ N $}[/tex]
