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
38 kg
, the acceleration of the object is
2 /ms2
. If the same force acts upon another object whose mass is
4 kg
, what is this object's acceleration?
/ms2
By the inverse relationship between acceleration and mass, we know that:
force = mass x acceleration
If we rearrange this formula, we get:
acceleration = force / mass
We are given that a constant force is acting upon both objects, so the force is the same in both cases. Let's call it F. Then, for the first object:
F = 38 kg x 2 m/s^2
F = 76 N
Now we can use the formula to find the acceleration of the second object:
acceleration = F / mass
acceleration = 76 N / 4 kg
acceleration = 19 m/s^2
Therefore, the second object's acceleration is 19 m/s^2.
To find the acceleration of the second object, we can use the formula:
acceleration = force / mass
Given that the first object has a mass of 38 kg and an acceleration of 2 m/s^2, we can find the force acting on it:
force = mass * acceleration
force = 38 kg * 2 m/s^2
force = 76 N
Now, we can use the force and the mass of the second object to find its acceleration:
acceleration = force / mass
acceleration = 76 N / 4 kg
acceleration = 19 m/s^2
Therefore, the acceleration of the second object is 19 m/s^2.