Conversation of energy and momentum

2. Conservation of Energy and Momentum Consider the situation below where a small block of mass m1 = 0.500 kg slides along a frictionless curved incline of mass m2 = 3.00 kg. The incline is not fixed and is free to slide along a horizontal frictionless surface. The small block slides from rest and both the block and incline begin to move, such that after the small block leaves the incline they are both in motion. The small block has a final velocity v1,f = (4.00 m ) . Assume that the acceleration due to gravity is 10 m m1 m2 m2 m1 V1,f Before After a. Is the energy of the system composed of the block, incline and Earth conserved? Explain. b. Is the momentum of the system composed of the block, incline conserved? Explain. (Hint: consider horizontal and vertical directions independently) c. Find the final velocity of the incline v2, f. Explain your work and present your answer as vector. d. What is the height of the incline h? Explain your conclusion. e. Explain the cause of the motion of the incline, use a force diagram to justify your reasoning