Question

Определить вес тела на планете Сатурн, если известно, что масса тела 107 кг. масса Сатурна составляет 95,2*6*10^24 кг, а средний радиус Сатурна - 58000 км.

Answer 1

Determining Weight on Saturn

To determine the weight of an object on Saturn, we need to use the formula for calculating weight:

Weight = Mass × Surface Gravity

In this case, we are given the mass of the object as 107 kg and the mass of Saturn as 95.2 × 10^24 kg. We also know the average radius of Saturn, which is 58,000 km.

To calculate the surface gravity of Saturn, we can use the formula:

Surface Gravity = Gravitational Constant × (Mass of Saturn / Radius of Saturn^2)

The gravitational constant is approximately 6.67430 × 10^-11 N(m/kg)^2.

Let's calculate the weight of the object on Saturn step by step:

1. Calculate the surface gravity of Saturn: - Gravitational Constant = 6.67430 × 10^-11 N(m/kg)^2 - Mass of Saturn = 95.2 × 10^24 kg - Radius of Saturn = 58,000 km = 58,000,000 m

Surface Gravity = (6.67430 × 10^-11) × (95.2 × 10^24) / (58,000,000)^2

Calculating this value gives us the surface gravity of Saturn.

2. Calculate the weight of the object on Saturn: - Mass of the object = 107 kg - Surface Gravity of Saturn = [calculated in step 1]

Weight on Saturn = Mass of the object × Surface Gravity of Saturn

Plugging in the values, we can calculate the weight of the object on Saturn.

Let's perform the calculations.