What acceleration does a 40 slug object acquired when 500 lbs force act on it

To find the acceleration acquired by a 40 slug object when a 500 lb force acts on it, you can use Newton's second law of motion, which states that the force applied to an object is equal to its mass multiplied by its acceleration.

First, let's convert the weight from pounds to slugs. The weight is a force, and 1 slug corresponds to a weight of 1 lb in the English system of units. Therefore, we can convert 500 lbs to slugs by dividing it by the acceleration due to gravity. The acceleration due to gravity is approximately 32.17 ft/s^2.

500 lb / (32.17 ft/s^2) = 15.54 slugs

Now, we have the mass of the object, which is 40 slugs, and we can proceed to calculate the acceleration.

Using the formula F = m * a, we can rearrange it to find the acceleration:

a = F / m

Plugging in the values:

a = 15.54 slugs / 40 slugs = 0.3885 ft/s^2

Therefore, the acceleration acquired by the 40 slug object when a 500 lb force acts on it is approximately 0.3885 ft/s^2.