an object has a weight of 5.10 Newtons at sea level, where the acceleration due to gravity is 9.81 m/s squared. What is the acceleration due to gravity on the object if it is placed in a spaceship 1,000 km above sea level which gravity exerts a force of 3.81 Newtons on the object
1.33 m/s squared
To find the acceleration due to gravity on the object when it is 1,000 km above sea level, we can use the formula:
F = m * g
Where:
F is the force of gravity on the object,
m is the mass of the object, and
g is the acceleration due to gravity.
First, let's calculate the mass of the object using the given force at sea level:
F = m * g
5.10 N = m * 9.81 m/s^2
Rearranging the formula to solve for mass:
m = F / g
m = 5.10 N / 9.81 m/s^2
m ≈ 0.52 kg
Now that we know the mass of the object, we can use the force at 1,000 km above sea level to find the acceleration due to gravity:
F = m * g
3.81 N = 0.52 kg * g
Rearranging the formula to solve for acceleration due to gravity:
g = F / m
g = 3.81 N / 0.52 kg
g ≈ 7.33 m/s^2
Therefore, the acceleration due to gravity on the object when it is 1,000 km above sea level is approximately 7.33 m/s^2.