What what evidence would have been needed to contradict the theory of gravity before it was proven to be a lot

3 answers

Before the theory of gravity was rigorously formulated, particularly as presented by Isaac Newton in the 17th century and later refined by Einstein in the 20th century, several types of evidence could have been considered contradictory to gravitational theory as we understand it today. Here are some hypothetical considerations that might have challenged the concept of gravity:

  1. Consistent Counter-Examples: If objects in free fall consistently exhibited movements that did not align with expected gravitational motion (i.e., they moved in perpetual motion, hovered, or fell upward), this would have contradicted gravitational laws.

  2. Inconsistent Orbital Mechanics: If planetary bodies followed elliptical orbits that were predictable but deviated significantly from those predicted by gravitational dynamics, it could cast doubt on gravity as a universal force.

  3. Variability of Gravitational Effects: If experiments showed that gravitational effects varied inconsistently with distance or mass (for example, if a larger mass exerted less gravitational pull than a smaller mass), this would undermine Newton's laws of universal gravitation.

  4. Evidence from Space: Observations of celestial bodies' movements that did not adhere to laws of gravitation (e.g., planets accelerating towards one another unexpectedly or colliding without the influence of other forces) could question gravity's role.

  5. Alternative Forces: The proposal of a new force or phenomenon that accounted for all gravitational effects without invoking gravity itself could challenge the need for a gravitational theory altogether.

  6. Violation of the Equivalence Principle: If experiments demonstrated that gravitational acceleration was not the same for all objects (such as a feather and a hammer) when dropped in a vacuum, this would contradict key principles underpinning gravity.

  7. Quantum Mechanics Anomalies: If gravitational effects were found to be incompatible with the principles of quantum mechanics in ways that couldn't be reconciled or unified with theories of gravity, this would challenge the understanding of gravity's behavior under different conditions.

These hypothetical pieces of evidence would have raised significant questions about gravitational theory and launched investigations into alternative explanations for observed phenomena. It’s important to note that scientific theories are continuously tested against observations, and they must be able to withstand scrutiny in order to be accepted as valid.

En un club deportivo se imparten clases de natación, fútbol y tenis. Una señora desea inscribirse en dos clases pues tiene demasiado tiempo libre, pero no sabe cuál par elegir pues todos los deportes le gustan por igual. ¿Cual es la probabilidad de que decida inscribirse a clases de fútbol y tenis?

(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3

Para resolver el problema, primero debemos identificar todas las combinaciones posibles de clases que la señora puede elegir, dado que quiere inscribirse en dos de las tres clases disponibles: natación, fútbol y tenis.

Las combinaciones posibles de clases son:

  1. Natación y Fútbol (NF)
  2. Natación y Tenis (NT)
  3. Fútbol y Tenis (FT)

Esto nos da un total de 3 combinaciones posibles.

La señora tiene igual preferencia por todas las combinaciones, por lo que la probabilidad de que elija una combinación específica es el número de combinaciones deseadas dividido por el número total de combinaciones:

La combinación que estamos buscando es Fútbol y Tenis (FT), que es solo una de las 3 combinaciones posibles.

Por lo tanto, la probabilidad de que decida inscribirse a clases de fútbol y tenis es:

\[ P(FT) = \frac{\text{Número de combinaciones deseadas}}{\text{Número total de combinaciones}} = \frac{1}{3} \]

La respuesta correcta es (D) 1/3.