A box is lowered using a rope. If the acceleration of the box, is 2.5 m/s2 (downward) and the tension in the rope is 31 N, what is the mass of the box (in kg)?

Well, if the box is accelerating downward, I hope it's not having too much of a bad day! To find the mass of the box, we can use Newton's second law of motion, which states that force equals mass times acceleration. In this case, we can use the tension in the rope as the force. So, we have:

Force = mass * acceleration

Solving for mass, we get:

mass = Force / acceleration

Plugging in the values, we have:

mass = 31 N / 2.5 m/s²

mass ≈ 12.4 kg (rounded to one decimal place)

So, the mass of the box is approximately 12.4 kg. And remember, no clowning around when it comes to physics!

To find the mass of the box, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, the force acting on the box is the tension in the rope, which is 31 N. The acceleration of the box is given as 2.5 m/s^2.

So we have:

Force = mass * acceleration

31 N = mass * 2.5 m/s^2

To solve for the mass, we can rearrange the equation:

mass = Force / acceleration

mass = 31 N / 2.5 m/s^2

mass = 12.4 kg

Therefore, the mass of the box is 12.4 kg.