(show work, +10) A metal ball of mass m1 = [m1] kg moving wi…

(show work, +10) A metal ball of mass m1 = [m1] kg moving with a speed of [v1i] m/s to the right hits a box of mass m2 = [m2] kg sitting on a level surface. After hitting the box, the metal ball bounces back and moves to the left with a speed of [v1f] m/s. This causes the box to slide to the right.  a) What is the speed of the box immediately after the collision?  b) After the collision, the box slides on the frictionless surface and climbs up. What is the maximum height it will reach? Hint: use the conservation of energy. Enter the height (h) (round-off to TWO decimal places) = 

Show work clearly and in a logical manner to get maximum cre…

Show work clearly and in a logical manner to get maximum credit (Show work in the uploaded file +10). A large motorized wheel is rotating with an initial angular velocity of [w] rad/s. The power is suddenly cut and the wheel starts to slow down uniformly and comes to rest, making [rev] revolutions during the process. a) What is its angular acceleration (in rad/s2 )?  b) How much time (in s) does it take to come to rest? Round off to ONE decimal place. Time (s) =