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What is the primary use of a non-clustered index?

A student investigates the motion of a cart rolling down an incline and colliding with another cart at the bottom. The following data were collected: Part A – Motion Down the Incline The cart (mass = 0.40 kg) is released from rest at different heights. The velocity at the bottom is measured and the data is recorded as shown in the table below. Height (m) Velocity at Bottom (m/s) 0.15 1.6 0.25 2.2 0.35 2.7 Questions: Use the principle of conservation of energy to explain why the velocity increases with height. Compare the measured velocities to the theoretical prediction v=2ghv = \sqrt{2gh}​. Do they agree reasonably well? Part B – Collision at the Bottom After rolling down, the 0.40 kg cart collides head-on with a stationary cart of mass 0.60 kg. After the collision, the two carts stick together and move off with a velocity of 1.0 m/s. Questions: 3. Identify the type of collision (elastic, inelastic, or perfectly inelastic). Justify your answer. 4. Using momentum conservation, show how the final velocity of 1.0 m/s supports the data. 5. Is kinetic energy conserved in this collision? Explain briefly.

Two carts collide on a frictionless track. Cart A (`ma` kg) moves at `v1` m/s and collides with Cart B (`mb` kg) at rest. After the collision, Cart A stops. What is the velocity of Cart B? Give your answer in m/s and round to two decimal places

A `ma` kg block moving at `vi` m/s collides and sticks to a `m2` kg block at rest. What is their final velocity after the collision? Round your answer to two decimal places.

A `f` N horizontal force pushes a `m` kg box across a frictionless floor. What is the box’s acceleration? Provide your answer in m/s2 and round to two decimal points.

A `m` kg box is pulled with a net force of `f` N. What is the acceleration of the box? Provide your answer in m/s2, round to two decimal places.

A `m1` kg car moving at `v1` m/s collides inelastically with a `m2` kg car moving at `v2` m/s in the same direction. What is their velocity after sticking together? Round your answer to two decimal places.

A car of mass `m` kg accelerates at `a` m/s². What net force acts on the car? Provide your answer in Newtons (N).

In a perfectly inelastic collision, two objects stick together after impact. Which is always true?

A soccer ball is kicked and continues rolling across a smooth field until friction slows it down. Which force causes the ball to eventually stop?