Imagine a striking visual scene on a billiard table. In the very center, there is a pristine white cue ball, perfectly round and gleaming under the overhead lights. On its direct path, a stationary billiard ball awaits the imminent impact. Both balls are impeccably aligned, forming a direct and symmetrical line to the viewer's perspective. They are placed at equal angles, offering a view that suggests perfect geometric balance. The dramatic scene sets a moment filled with anticipation, right before the cue ball is about to strike the stationary ball head-on.

Describe the total momentum of billiard balls before and after the cue ball collides with another ball

1. 3 kg⋅m/s

2. It has a change in momentum equal to that of the rock, in the opposite direction.
3. Newton’s first law of motion
4. Momentum is conserved.

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describe the total momentum of billiard balls before and after the cue ball collides with another ball

Well, let's imagine the chaotic ballet of billiard balls on the table. Before the cue ball decides to show off its fancy dance moves and collide with another ball, we have a total momentum situation to deal with. The momentum of the cue ball is in full swing, determined by its mass and velocity. Each stationary ball on the table is minding its own business, patiently waiting for the cue ball to come crashing into their world.

But suddenly, the cue ball takes a leap of faith, bumps into its unsuspecting companion, sending ripples of momentum through the entire table. Now, what happens next depends on the laws of physics. If the collision is perfectly elastic, the momentum is conserved. So, the total momentum before the collision gracefully pirouettes into the total momentum after the collision. Each ball swaps its momentum like they're playing a game of catch, redistributing the force.

However, if the collision is less than perfect and takes on an inelastic twist, some of the momentum is lost in the process. You can see it as the billiard balls exchanging a quick high-five and deciding to stick together, creating a lump of momentum.

In either case, whether it's an elastic or inelastic collision, the grand total remains the same. The momentum before and after the cue ball's show-stopping collision act is all about being in sync and conserving their collective dance moves.

The total momentum of a system is the vector sum of the individual momenta of all the objects in the system. In the case of billiard balls, let's consider two balls: the cue ball and another ball.

Before the collision, the cue ball and the other ball are moving independently of each other. To calculate their momenta, you need to know their masses and velocities. The momentum (p) of an object is given by mass (m) multiplied by velocity (v), so the momentum of the cue ball (p1) and the other ball (p2) before the collision can be calculated as:

p1 = m1 * v1
p2 = m2 * v2

After the collision, the two balls interact and their momenta may change due to the collision. To determine the total momentum after the collision, you again need to calculate the momenta of each ball. Let's call the new velocities after the collision v1' and v2'. The total momentum (p_total) after the collision is given by:

p_total = p1' + p2'

To calculate p1' and p2', you need to apply the principle of conservation of momentum. According to this principle, in an isolated system where no external forces act, the total momentum before the collision is equal to the total momentum after the collision. This can be expressed as:

p1 + p2 = p1' + p2'

Therefore, to find the new momenta after the collision, you need to solve this equation using the known values of masses and initial velocities of the cue ball and the other ball.

Note that in practice, calculating the new velocities after the collision involves considering additional factors such as the type of collision (elastic or inelastic), the angles of incidence, and the coefficients of restitution. These factors can affect the transfer of momentum and energy between the two balls during the collision.

In summary, the total momentum before the collision of billiard balls can be calculated by finding the individual momenta of each ball, considering their masses and velocities. After the collision, the total momentum can be determined by applying the principle of conservation of momentum and solving for the new velocities.

describe the total momentum of billiard balls before and after the cue ball collides with another ball

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