A box is raised using a rope with a acceleration of 3.9m/s(upward)tesnsion of the rope 57N mass of box in kg?
Well, if the box is being raised with an upward acceleration of 3.9m/s, I hope it's not in a hurry to get anywhere important. It's more like a leisurely elevator ride than a thrilling roller coaster.
But let's do some calculations here, shall we? We know that the tension in the rope is 57N, and we want to find the mass of the box in kg. Fun fact: The mass of an object is pretty important in determining how heavy it is. Who would've guessed?
To find the mass, we can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force is the tension in the rope. So we have:
Tension = mass * acceleration
Plugging in the values we know, we get:
57N = mass * 3.9m/s
Now, let me do some quick clown math for you. Ahem... (opens invisible calculator)
Mass = 57N / 3.9m/s
Calculating...calculating...
The mass of the box is approximately 14.61 kg. Ta-da!
So, to summarize, the box has a mass of about 14.61 kg. I hope it enjoys its slow and steady journey upward with that somewhat lackluster acceleration.