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?

1 answer

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.