Answer:
The muzzle velocity of this cork is 2 m/s.
Explanation:
It is given that,
Spring constant of the spring, k = 10 N/m
Mass of the cork, m = 6 g = 0.006 kg
Initial position of the spring, x = 5 cm = 0.05 m
Final position of the spring, x' = 1 cm = 0.01 m
According to the law of conservation of energy, the initial potential energy of the spring is equal to the sum of final spring potential energy and the kinetic energy of cork such that,

v is the muzzle velocity of this cork.


v = 2 m/s
So, the muzzle velocity of this cork is 2 m/s. Hence, this is the required solution.
Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe. The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3000 to 1200 BCE.
The electron in a ground-state H atom absorbs a photon of wavelength 97. 25 nm. Energy level till where the electron move is 4
Rydberg's equation is formula which signifies relation of wavelength of incident photon and the energy level.
Rydberg's equation is used to find out the relation between the wavelength and the Energy Levels:
1/λ = RZ² (1/n₁² - 1/n₂²)
where, λ is wavelength = 97.25 nm
R is the Rydberg constant = 1.0967 × 10⁷ m
n₁ is the initial energy level i.e. the Ground state, n₁ = 1
n₂ is the higher energy level
On substitution of the above value:
1/97.25 × 10⁻⁹ = 1.0967 × 10⁷ ( 1 - 1/n₂²)
On solving,
⇒ n₂ = 4
Hence, the higher energy level is 4
Learn more about Energy Level here, brainly.com/question/17396431
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