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-Given the data of a ball being vertically launched at a 90degree angle. Mass of

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Question

-Given the data of a ball being vertically launched at a 90degree angle. Mass of ball = 9.3 grams Diameter of ball = .025m Avg Launch Speed = 3.26m/s Initial Launch Height of the ball = .28m Maximum Height reached by ball = .741m -Find the following from the given data: Initial kinetic energy of the ball = ? Initial potential energy = ? Final potential energy = ? Actual change in potential energy = ? Change in potential energy of ball (assuming conservation ofmechanical energy) = ? Maximum height ball could reach (assuming conservation ofmechanical energy) = ? Work done by the nonconservative force of air resistance onthe ball = ? --Several parts but i believe each are short steps, feel freeto answer in multiple posts if needed & Please show work. -Given the data of a ball being vertically launched at a 90degree angle. Mass of ball = 9.3 grams Diameter of ball = .025m Avg Launch Speed = 3.26m/s Initial Launch Height of the ball = .28m Maximum Height reached by ball = .741m -Find the following from the given data: Initial kinetic energy of the ball = ? Initial potential energy = ? Final potential energy = ? Actual change in potential energy = ? Change in potential energy of ball (assuming conservation ofmechanical energy) = ? Maximum height ball could reach (assuming conservation ofmechanical energy) = ? Work done by the nonconservative force of air resistance onthe ball = ? --Several parts but i believe each are short steps, feel freeto answer in multiple posts if needed & Please show work.

Explanation / Answer

   a.   k.e.   K   =   (1/2)* m * v2   =   0.5 * 9.3 *10-3 *3.262   =   4.94 *10-2   J    b.   Initialp.e.   Ui   =   m* g * hi   =   9.3 *10-3 * 9.8 *0.28   =   2.55 *10-2   J    c.   Finalp.e.   Uf   =   m* g * hf   =   9.3 *10-3 * 9.8 *0.741   =   6.75 *10-2   J    d.   Chance inp.e.   U   =   Uf   -   Ui   =   6.75* 10-2   -   2.55 *10-2   =   4.20 *10-2   J    e.   Initialenergy   Ei   =   Ui   +   K   =   2.55* 10-2   +   4.94 *10-2   =   7.49 *10-2   J          netchenge inenergy   =   Ei   -   Uf   =   7.49* 10-2   -   6.75 *10-2   =   7.4 *10-3   J    f.   Maximum height that ballcould reach is given by          m * g *hmax   =   Ei          9.3 *10-3 * 9.8 *hmax   =   7.49 *10-2          hmax   =   0.822m      ( this height is abovehi, if you need total height add 0.280 m)    g.   Work done byfriction   W   =   initialenergy   -   finalenergy   =   7.49 *10-2   -   6.75 *10-2          W   =   7.40* 10-3   J          W   =   7.40* 10-3   J