Stacy L. answered 11/13/20
PhD in Astrophysics with 10+ Years of Teaching Experience
First use conservation of momentum to find the velocity of the system on the table. 0.01*500=1.51v, so v=5/1.51=3.311 m/s.
After the collision, the total potential and kinetic energy is conserved. Mv^2/2+Mgh=MVf^2/2, so the final kinetic energy is 1.51*(3.311^2/2+9.8*.7)=18.63 J. This falls under none of these.