Question

High above the town of Whoville there lived a Grinch and his dog Max. The Grinch being antisocial has never gone to school so needs your help with some physics concepts.

a) Start by stating Newton's Three Laws of Motion
b) While watching the Who's skate on Who lake, the Grinch notices that when Sue Who is spinning as she pulls in her arms she spins faster. Explain why this happens to the Grinch.
c) The Grinch notices that as time progresses his cave gets messier. Explain why this occurs.

Answer 1

Newton's laws describe motion where the first law explains inertia, the second law relates force and acceleration, and the third law introduces action-reaction pairs. Sue Who spins faster due to conservation of angular momentum, and the Grinch's cave becomes messier due to increasing entropy in the absence of maintaining effort.

Step-by-step explanation:

Newton's Three Laws of Motion

Newton's first law states that an object will remain at rest or move at a constant speed in a straight line unless acted upon by an external force. Newton's second law asserts that the change of motion of a body is proportional to and directed by the force acting on it. Finally, Newton's third law declares that for every action there is an equal and opposite reaction.

Conservation of Angular Momentum

Regarding Sue Who spinning faster as she pulls in her arms, this phenomenon can be explained by the conservation of angular momentum. When she pulls her arms in, she reduces the distance of her mass from the spin center, which increases her rotational speed due to the need to conserve angular momentum. This is because angular momentum is conserved when there is no external torque, and it depends on the mass, velocity, and distance from the point of rotation.

Understanding the Grinch's Messy Cave

The Grinch's cave gets messier over time due to a lack of external effort to maintain order. This can be loosely related to the concept of entropy in physics, which is a measure of disorder in a system. Without an organized effort to clean and order the cave, the natural tendency is for the system to become more disorderly.

Answer 2

a) Newton proposed three laws to explain the motion of things.

b) bodies are in motion the kinetic moment is preserved,

c) entropy

Step-by-step explanation:

In this exercise you are asked to explain various concepts of physics

a) Newton proposed three laws to explain the motion of things.

* The first law or inertia states that a body in an inertial system (without acceleration) remains stationary or with constant velocity if the sum of the forces is zero

* The second law states that the force (interaction) is proportional to the masses and the acceleration of the bodies

F = m a

* The third law or action and reaction, says that the forces always go in pairs, that is, if a body interacts with a body 2, and body 2 will also interact with body 1, with the same force but with the opposite direction, each force is applied to a body

b) when bodies are in motion the kinetic moment

L = I w

it is preserved, if it does not interact with the outside.

The quantity I called the moment of inertia is I = m r²

In this case

in the initial instant with outstretched arms

L = I₀ w₀

in the final moment. By shrinking your arms

`L_(f)` = I_{f} w_{f}

as the body does not interact with another

L₀ = L_{f}

I₀ w₀ = I_{f} w_{f}

w_{f} =
`(I_(o) )/(I_(f) )` w₀

we substitute

w_{f} = \frac{r_{o} }{r_{f} }^2 w₀

as the distance of the arms extended is greater than when they are retracted (r₀>
`r_(f)`), the final angle speed increases

c) This is an application of the concept of entropy that establishes that disorder is the most probable state of a system, which is why the cave increases its disorder or entropy over time since by not fixing things, they are increasingly dispersed