A 180 kg object is taken to a height of 350 km above the Earth's surface. The object's mass of height is 180 kg.

What is the object's weight at this height?

To calculate the weight of the object at a height of 350 km above the Earth's surface, we need to first understand the concept of weight and how it is affected by height.

The weight of an object is the force exerted on it due to the gravitational pull of the Earth. It is dependent on both the mass of the object and the acceleration due to gravity. The formula for weight is:

Weight = mass * acceleration due to gravity

Mass is given as 180 kg. The acceleration due to gravity, denoted by g, varies with height. Near the Earth's surface, g is approximately 9.8 m/s^2. However, as we move away from the Earth's surface, the gravitational force decreases.

At a height of 350 km above the Earth's surface, the value of g needs to be determined. The equation for calculating g at a given height above the Earth's surface is given by:

g' = g * (R / (R + h))^2

Where:
g' = acceleration due to gravity at the given height
g = acceleration due to gravity at the Earth's surface (~9.8 m/s^2)
R = radius of the Earth (~6,371 km)
h = height above the Earth's surface (350 km)

Let's calculate the value of g' first:

R = 6,371 km = 6,371,000 m
h = 350 km = 350,000 m
g = 9.8 m/s^2

g' = 9.8 * (6,371,000 / (6,371,000 + 350,000))^2
= 9.8 * (6,371,000 / 6,721,000)^2
= 9.8 * (0.9487)^2
≈ 9.283 m/s^2

Now that we have the value of g', we can calculate the weight of the object at a height of 350 km:

Weight = mass * acceleration due to gravity at the given height
= 180 kg * 9.283 m/s^2
≈ 1670.94 N

Therefore, the weight of the 180 kg object at a height of 350 km above the Earth's surface is approximately 1670.94 Newtons.