A crate of unknown mass is pulled upward by a rope. The tension in the rope is 11 N and the crate accelerates upward at a rate of 1.3 m/s2. Determine the mass of the crate.
_________kg
To determine the mass of the crate, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
In this case, the force applied to the crate is the tension in the rope, which is 11 N, and the acceleration of the crate is 1.3 m/s^2. Let's denote the mass of the crate as "m".
According to Newton's second law, we have:
Force = mass x acceleration
11 N = m x 1.3 m/s^2
To find the mass "m", we can rearrange the equation:
m = Force / acceleration
m = 11 N / 1.3 m/s^2
m ≈ 8.46 kg
Therefore, the mass of the crate is approximately 8.46 kg.