Initially, we need to calculate the acceleration required for the car to halt from its initial speed based on the distance traveled. This can be done using the formula,
2ad = Vf² - Vi²
where a represents acceleration, d is distance, and Vf and Vi are the final and initial speeds respectively. Plugging in the known quantities,
2(a)(35 m) = (0 m/s)² - ((65 km/h) x (1000 m/ 1 km) x (1 hr / 3600 s))²
The resulting acceleration is −4.66 m/s².
To calculate the force required to stop the car, we multiply the mass by the acceleration. This calculation yields -4,660 N, and we take the absolute value, which is 4,660 N.
Let A represent the area of each plate. According to Gauss's Law, the electric field present between the plates can be derived.
The peak wavelength for Betelgeuse is 828 nm
Explanation:
Wien's law describes how the surface temperature relates to a star’s peak wavelength:

where
represents the peak wavelength
T is the surface temperature
is Wien's constant
For Betelgeuse, the surface temperature is roughly
T = 3500 K
Consequently, its peak wavelength can be determined as:

Learn more about wavelength:
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.
The time required for the water balloon to reach the ground is given as

Here we understand that


Now applying the earlier mentioned formula



Now in the same time frame, we can conclude the distance covered will be


Thus, it will land at a distance of 15.7 m from where it started