1.

A cannon shell is fired to hit a target at a horizontal distance R. However, it breaks into two equal parts at its highest point. One part (A) returns to the cannon. The other part:

Answer»

Will fall at a distance of R beyond the target
Will fall at a distance of 3R beyond the target
Will hit the target
Have nine times the kinetic ENERGY of A just after explosion

Solution :`u_x`: velocity at HIGHEST POINT, and v: velocity of other part after the cannon breaks.
`impliesm u_(x) = -m/2 u_x + m/2 v IMPLIES v = 3u_x`.
`implies` Horizontal distance traveled by `2^(nd) part is 3 times the horizontal distance (R/2) traveled by the 1st part after the cannon breaks and KE of 2nd part is 9 times the KE of the FIRST part at highest point.


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