Conservation of momentum, conservation of energy A smooth inclined plane with height h and angle a is placed on a smooth horizontal plane, and a slider slides along the inclined plane to the bottom. If the velocity of the inclined plane is V2, the velocity of the slider relative to the inclined plane is V1, Simultaneous: MGH = 1 / 2m (v1sina) ^ 2 + 1 / 2mv2 ^ 2 + 1 / 2m (v1cosa-v2) ^ 2 mv1cosa=(M+m)v2

Conservation of momentum, conservation of energy A smooth inclined plane with height h and angle a is placed on a smooth horizontal plane, and a slider slides along the inclined plane to the bottom. If the velocity of the inclined plane is V2, the velocity of the slider relative to the inclined plane is V1, Simultaneous: MGH = 1 / 2m (v1sina) ^ 2 + 1 / 2mv2 ^ 2 + 1 / 2m (v1cosa-v2) ^ 2 mv1cosa=(M+m)v2

This is the correct solution
The horizontal momentum of the system is conserved
The mechanical energy of the system is conserved

The objects a and B placed on a smooth horizontal plane are connected by a spring. A horizontally flying bullet hits a along the line AB and stays in it. If the mass of a, B and bullet is Ma, MB and m respectively, the velocity before bullet hits a is v0. It is required to solve the maximum elastic potential energy of the spring in the later process The maximum energy is obtained from the conservation of momentum: MV0 = (MA + MB + m) v. the energy conservation equation: 12mv02 = 12 (MA + MB + m) V2 + EP is also listed, and the conclusion is drawn accordingly. Do you think this student's problem-solving process is correct? If correct, ask for the expression of the maximum elastic potential energy; if wrong, please write the correct solution process and solve the maximum elastic potential energy

In the process of bullet hitting a, momentum is conserved, but mechanical energy is not conserved. According to the student's problem-solving process, the student thinks that mechanical energy is conserved in the process of bullet hitting a, so the problem-solving process is wrong

Is conservation of energy and conservation of momentum the same concept

Of course, it's not the same concept!
Energy includes kinetic energy, electric energy, potential energy, internal energy Energy conservation means that the total amount of these energies remains unchanged, where the total amount is algebraic sum, because the energy is scalar;
Momentum is the vector product of mass and velocity. Momentum conservation means that the sum of the total momentum vector of an object system remains unchanged, because momentum is a vector