Work-energy applied to launching or projecting objects

Questions where a constant force acts over a short distance to launch or project an object (e.g., bowling machine, cricket ball), and the force magnitude or energy is to be found from the resulting motion.

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A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the part pushing the ball applies a constant force $F$ on the ball and moves horizontally a distance of 0.2 m while launching the ball, the value of $F$ (in N) is $\left( g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 } \right)$