The previously accepted theory that was proven incorrect is the Geocentric Theory, which placed Earth at the center of the universe. This idea was introduced by philosopher Ptolemy. He formulated this hypothesis based on his observations that celestial bodies such as the Sun, stars, and the moon appeared to move around Earth from our vantage point. However, Galileo Galilei contradicted this notion with his Heliocentric Theory. He used a telescope to observe that Venus undergoes phases, akin to the moon, leading him to conclude that the alignment of Venus, Earth, Moon, and Sun did not support the earlier theory.
Answer:
The snowball's speed after the impact is 3 m/s
Explanation:
Given the following:
mass of each ball
m₁ = 0.4 Kg
m₂ = 0.6 Kg
initial speed of both balls = v₁ = 15 m/s
Speed of 1 Kg mass post-collision =?
Applying conservation of momentum
m₁ v₁ - m₂ v₁ = (m₁+m₂) V
A negative velocity indicates that the second ball moves in the opposite direction.
0.4 x 15 - 0.6 x 15 = (1) V
Therefore,
V = - 3 m/s
Consequently,
The snowball's speed following the collision is 3 m/s
Answer:
The total energy can be expressed as 
Explanation:
The problem states that
The Poynting vector, which measures energy flux, equals 
The rectangle's length is represented by 
The width of the rectangle is
The duration considered is 
Mathematically, the overall electromagnetic energy incident on the area is given by

where A denotes the area of the rectangle, calculated as

By plugging in the respective values


Again substituting values


Answer
Given:
Wavelength = λ = 18.7 cm
= 0.187 m
Amplitude, A = 2.34 cm
Velocity, v = 0.38 m/s
A) Calculate the angular frequency.
Angular frequency,
ω = 2π f
ω = 2π x 2.03
ω = 12.75 rad/s
B) Calculate the wave number:
C)
Since the wave is traveling in the -x direction, the sign is positive between x and t
y (x, t) = A sin(k x - ω t)
y (x, t) = 2.34 sin(33.59 x - 12.75 t)
Answer:
Explanation:
According to the parameters provided,
mass of the clay lump, m₁ = 0.05 kg
initial velocity of the lump, u₁ = 12 m/s
mass of the cart, m₂ = 0.15 kg
initial speed of the cart, u₂ = 0
As the clay adheres to the cart, we have an inelastic collision scenario. Let v represent the combined speed of both the cart and lump post-collision. Given that momentum is conserved, we have:



The resultant speed is v = 3 m/s.
Thus, the final speed of both cart and lump following the collision is 3 m/s. This concludes the solution.