Conservation of energy problems. an ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. the ice cube is pressed against a spring at the bottom of the slope, compressing the spring 0.100 m . the spring constant is 25.0 n/m . choose which items to include in your system. all items that do not belong to your system are part of the environment.

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

Your answer would be, the due process clause of the 14th., and 5th. amendments differ the clause in the 14th. amendment has been interpreted, to mean that state government must provide some of the protections within the bill of rights.your answer would be, the clause in the 5th. amendment was specifically written to restrict a new powerful government.hope that !