You also have to take into account the mass that change. Since the balance wheel dimensions were made 1/3 the original, you should have 1/27 the original mass.
Many thanks. I solved for it correctly and calculated that the speed as the highest point turns out to be 39.14. Then I just plugged it in and it worked. Thank you again.
Typo on my part. I wanted initial velocity to be 76 m/s (instead of 16).
76 was given, and 152 I obtained through the conservation of momentum equation.
(20.6 kg)(76 m/s)= (10.3 kg) (Velocity of fragment)
Solving that equation yielded 152 m/s.
Is something wrong about that...
A projectile of mass 20.6 kg is fired at an angle of 59.0^\circ above the horizontal and with a speed of 76.0 m/s. At the highest point of its trajectory the projectile explodes into two fragments with equal mass, one of which falls vertically with zero initial speed. You can ignore air...
Peach. The answer is correct. Check the way you entered it. Make asin(theta), apparently, is not the same as a*sin(theta). The system probably screwed you over that way.