Question

Как изменится период колебания маятника, если переместить его с Земли на Луну? Масса Луны в 81 раз меньше массы Земли, а радиус в 3,7 раза больше радиуса Луны. как написать дано

Answer 1

Масса Луны в 81 раз меньше массы Земли, а радиус в 3,7 раза больше радиуса Луны. 
T(Земли)=2*Пи* квадратный корень из (l/g(Земли)) , а Т(луны)=2Пи*квадратный корень из (l/g(Луны)). g(луны)/ g(Земли)= ((G*m)/R2) / ((G*81m)/3.7R2) . G, m, R2- сокращаются. Отсюда: g(луны)/g(Земли)=81/3.7

Answer 2

Given Information:

- Mass of the Moon is 81 times smaller than the mass of the Earth. - Radius of the Moon is 3.7 times larger than the radius of the Moon.

To understand how the period of oscillation of a pendulum changes when it is moved from Earth to the Moon, we need to consider the factors that affect the period of a pendulum.

Factors Affecting the Period of a Pendulum:

The period of a pendulum is influenced by the following factors:

1. Length of the Pendulum: The longer the length of the pendulum, the longer its period. 2. Acceleration due to Gravity: The stronger the acceleration due to gravity, the shorter the period of the pendulum. 3. Mass of the Pendulum: The mass of the pendulum does not affect its period significantly, as long as it is concentrated at the bob.

Effect of Moving the Pendulum from Earth to the Moon:

When the pendulum is moved from Earth to the Moon, the following changes occur:

1. Acceleration due to Gravity: The acceleration due to gravity on the Moon is approximately 1/6th of that on Earth Since the period of a pendulum is inversely proportional to the square root of the acceleration due to gravity, the period of the pendulum on the Moon will be longer compared to that on Earth.

2. Length of the Pendulum: The length of the pendulum remains the same when it is moved from Earth to the Moon.

3. Mass of the Pendulum: The mass of the pendulum does not significantly affect its period, as long as it is concentrated at the bob.

Therefore, the period of oscillation of the pendulum will increase when it is moved from Earth to the Moon due to the decrease in acceleration due to gravity on the Moon.

Conclusion:

Moving the pendulum from Earth to the Moon will result in an increase in its period of oscillation. The exact change in the period can be calculated using the formula for the period of a pendulum, which takes into account the length of the pendulum and the acceleration due to gravity.

Please note that the given information does not provide the length of the pendulum, so we cannot calculate the exact change in the period. However, we can conclude that the period will increase based on the change in acceleration due to gravity.

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