The value of acceleration due to gravity (g) on a point
10,000 kilometers above sea level is about
1.49 meters/second2. How much will an object, which weighs
98 newtons on the surface of Earth, weigh on this point? The value of acceleration due to gravity on Earth is 9.8 meters/second2.
To determine the weight of an object on a point 10,000 kilometers above sea level, where the acceleration due to gravity is 1.49 meters/second^2, and considering that the object weighs 98 newtons on the surface of the Earth where the acceleration due to gravity is 9.8 meters/second^2, we can use the formula:
Weight = mass × acceleration due to gravity
First, we need to convert the weight from newtons to kilograms. Since 1 newton is equal to 1 kilogram-meter/second^2, we divide the weight in newtons by the acceleration due to gravity on Earth (9.8 m/s^2) to get the mass:
mass = weight / acceleration due to gravity on Earth
mass = 98 N / 9.8 m/s^2
mass = 10 kg
Now, we can calculate the weight of the object at the given point:
Weight = mass × acceleration due to gravity at the given point
Weight = 10 kg × 1.49 m/s^2
Weight ≈ 14.9 N
Therefore, the object would weigh approximately 14.9 newtons on a point 10,000 kilometers above sea level where the acceleration due to gravity is 1.49 meters/second^2.