Answer :
Final answer:
The trapeze artist being raised at constant speed experiences balanced forces, with tension in the ropes equal to their weight. A free-body diagram depicts the artist's weight acting downward and tensions acting upward. The forces are in equilibrium, ensuring no net acceleration.
Explanation:
Understanding the Trapeze Artist Situation
This question involves the dynamics of a trapeze artist being raised by a bar at a constant speed. When an object is raised with constant speed, it means that the net force acting on the object is zero. In this case, the downward force due to gravity is balanced by the upward force due to the tension in the ropes.
Free-Body Diagram
To illustrate this, we can create a simple free-body diagram:
- Draw the trapeze artist in the center.
- Draw an arrow pointing downwards from the trapeze artist representing the weight (mg), where m is the mass of the artist and g is the acceleration due to gravity (approximately 9.81 m/s²).
- Draw two arrows pointing upwards from the trapeze artist representing the tension in the ropes. These Tension forces must sum up to equal the weight of the trapeze artist.
As an example, if the trapeze artist weighs 76.0 kg, then their weight is: Weight = mg = 76.0 kg * 9.81 m/s² ≈ 745.56 N. The tension in the two ropes (let's call them T1 and T2) must therefore be equal to this weight, so:
- T1 + T2 = Weight
- T1 + T2 = 745.56 N
This demonstrates that the forces are in equilibrium when the trapeze artist is moving at a constant speed up the rope.
Learn more about trapeze artist dynamics here:
https://brainly.com/question/43685494
