Calculate Tension: 65.0kg Box with 4.8m/s Velocity

[skandaluz]

Hey guys, I'm new to this forum. Hopefully someone can help me out.

The problem is their is a 65.0 kg box hanging from a rope. The box has a velocity of 4.8 m/s in the Y direction and is speeding up at 4.8 m/s^2. The Y axis points up.

The question is, how do i calculate the tension on the rope?

TIA

 

[PhanthomJay]

Hey guys, I'm new to this forum. Hopefully someone can help me out.

The problem is their is a 65.0 kg box hanging from a rope. The box has a velocity of 4.8 m/s in the Y direction and is speeding up at 4.8 m/s^2. The Y axis points up.

The question is, how do i calculate the tension on the rope?

TIA

Welcome! Identify the forces acting on the box and apply Newton's 2nd law. Please show your attempt.

 

[m2003]

Hello! It's great to have you join the forum. To calculate the tension on the rope, we need to use Newton's second law, which states that the net force on an object is equal to its mass multiplied by its acceleration (F=ma). In this case, the box is accelerating at 4.8 m/s^2, so we can use this equation to find the net force on the box.

First, we need to find the weight of the box, which is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s^2). This gives us a weight of 637 N (65 kg x 9.8 m/s^2).

Next, we need to find the net force on the box in the y-direction. Since the box is accelerating in the y-direction, we can use the equation F=ma, where m is the mass of the box and a is the acceleration in the y-direction. This gives us a net force of 312 N (65 kg x 4.8 m/s^2).

Finally, to find the tension on the rope, we need to subtract the weight of the box from the net force in the y-direction. This gives us a tension of 325 N (637 N - 312 N). Therefore, the tension on the rope supporting the 65.0 kg box with a velocity of 4.8 m/s is 325 N. I hope this helps! Let me know if you have any further questions.