A 100-kg object is lifted to an altitude of 1000 km. What is the weight of the object on the ground? Does it have the same mass and weight at 1000 km? Explain.

on the ground, the weight is mg = 100*9.8 = 980N

Now, g=9.8 because

F = GMm/r^2 = mg, so
g = GM/r^2
If we say that r=6371km, then at 1000km altitude, we will have

9.8 * (6371/7371)^2 = 7.32, so the 100kg mass will weigh only 732N

To find the weight of the object on the ground, we need to use the equation:

Weight = mass * acceleration due to gravity

Given that the mass of the object is 100 kg, and the acceleration due to gravity on Earth is approximately 9.8 m/s^2, we can calculate the weight of the object on the ground.

Weight = 100 kg * 9.8 m/s^2 = 980 Newtons (N)

Therefore, the weight of the object on the ground is 980 N.

Now, let's consider the weight and mass of the object at an altitude of 1000 km. While the mass stays constant, the weight of the object decreases as we move away from the Earth's surface.

The reason for this is that weight is the force exerted on an object due to gravity. Gravity weakens as we move further away from the Earth's surface. As a result, the acceleration due to gravity decreases, and therefore the weight of the object decreases.

The mass of an object, on the other hand, remains constant regardless of the altitude. Mass represents the amount of matter an object contains and is not dependent on the gravitational force acting on it.

So, while the mass remains the same at 1000 km altitude, the weight of the object decreases due to the decreasing gravitational force.