A rocket of 200 grams is launched from the rest in a show of fireworks and follows an unpredictable path until you reach the point P, when erupts. The point P is 29 m above the ground. In precesso the force resulting from the burning of propellant held a work of 425 J on the rocket. Despising air resistance and loss of weight due to burning of propellant, which the module of the speed of the rocket in point P?
Resolution:
\(\displaystyle W=variationE\)
\(\displaystyle W=\frac{m.V^2}{2}+mgh-0\)
\(\displaystyle 425=\frac{0,2V^2}{2}+0,2.9,8.29\)
\(\displaystyle 850=0,2V^2+113,68\)
\(\displaystyle V^2=3681,6\)
\(\displaystyle V=60,68 m/s\)
Resolution:
\(\displaystyle W=variationE\)
\(\displaystyle W=\frac{m.V^2}{2}+mgh-0\)
\(\displaystyle 425=\frac{0,2V^2}{2}+0,2.9,8.29\)
\(\displaystyle 850=0,2V^2+113,68\)
\(\displaystyle V^2=3681,6\)
\(\displaystyle V=60,68 m/s\)