Final answer:
The tension in the rope supporting a hanging object is calculated using the formula Tension = Weight × Gravitational acceleration. The weight of the object can be calculated using the formula Weight = Mass × Gravitational acceleration.
Step-by-step explanation:
The tension in the rope supporting a hanging object depends on the weight of the object and the gravitational acceleration.
To calculate the tension, you can use the formula:
Tension = Weight × Gravitational acceleration
In this case, the weight of the 64.0 kg box is given, and the gravitational acceleration is approximately 9.8 m/s². So, the tension in the rope can be calculated as follows:
- Calculate the weight of the box using the formula: Weight = Mass × Gravitational acceleration
- Substitute the given values into the formula:
- Weight = 64.0 kg × 9.8 m/s²
- Tension = Result from step 2
Perform the calculation to find the tension in the rope.