20 points DUE TODAY Please help with these 3 questions.

#1 Design an experiment to determine how changing the velocity or mass of an object impacts its kinetic energy. Explain the measurements you’ll make and discuss the number of experimental groups you’ll include and trials you’ll perform. Also identify the independent, dependent and controlled variables.

#2 Below is a cart at different positions along a rollercoaster. Compare the potential energy of the cart at position A, B, C and D. Also, compare the total energy of the cart at position A to position C.

#3Compare the potential energy of an object in space to an object resting on Earth’s surface. Specifically, how would the potential energy of a person on a plane compare to an astronaut traveling on a spacecraft to Mars?

    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

Shy diving is the only sport which doesnot require a high level of physical fitness