When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 2 kg, the acceleration of the object is 39 m/s^2 2 . If the same force acts upon another object whose mass is 13 kg, what is this object's acceleration?
We can use the formula for Newton's second law of motion to solve this problem:
F = ma
Where:
F = force
m = mass
a = acceleration
Given that the force is constant and the acceleration varies inversely with mass, we can set up a proportion to find the acceleration of the object with mass 13 kg:
2 * 39 = 13 * a
78 = 13a
a = 78 / 13
a = 6 m/s^2
Therefore, the acceleration of the object with mass 13 kg is 6 m/s^2.