Acrobat & Monkey: Max Height Reached

  • Thread starter Mr Davis 97
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In summary, the problem involves a circus acrobat and a trained monkey on a trampoline. The question is asking for the maximum height reached by the pair after the acrobat takes the monkey off a perch. The solution involves using the conservation of momentum and assuming that the collision between the two happens in a very small time interval, where gravity does not have enough time to do work on the objects.
  • #1
Mr Davis 97
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Homework Statement


A circus acrobat of mass ##M## leaps straight up with initial velocity ##v_0## from the trampoline. As he rises up, he takes a trained monkey of mass ##m## off a perch at a height ##h## above the trampoline. What is the maximum height attained by the pair?

Homework Equations

The Attempt at a Solution



This is a pretty simple problem. All we do is derive a new initial velocity from the conservation of momentum, and then calculate the h that results when the masses are combined. However, I am wondering why using the conservation of momentum is justified, since the system is not isolated because there is gravity acting in the y-direction. Thus, why can I use the conservation of momentum in the y-direction when the man and monkey collide?
 
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  • #2
What is the assumption that is made for the time it takes for a collision to occur? What change in gravitational PE is expected over that time interval?
 
  • #3
gneill said:
What is the assumption that is made for the time it takes for a collision to occur? What change in gravitational PE is expected over that time interval?
Ah, okay. So in the very small limit of the time of collision momentum is conserved.
 
  • #4
Mr Davis 97 said:
Ah, okay. So in the very small limit of the time of collision momentum is conserved.
Right. In particular, it occurs in a small enough time interval that there is no work done by gravity during the process as the objects don't move (noticeably) higher or lower in the gravitational field.
 

Related to Acrobat & Monkey: Max Height Reached

1. How high can an acrobat and monkey reach in their performance?

The maximum height an acrobat and monkey can reach in their performance depends on various factors such as the strength and coordination of the acrobat, the agility and weight of the monkey, and the height of the performance venue. It is not possible to determine an exact maximum height, as it can vary in each performance.

2. What is the role of the monkey in the acrobat and monkey performance?

The monkey in an acrobat and monkey performance serves as a partner and adds an element of unpredictability and entertainment to the act. They often perform stunts and tricks together with the acrobat, showcasing their agility and coordination.

3. Is the acrobat and monkey performance safe for both the performers?

Safety is always a top priority in any performance, and the same applies to acrobat and monkey performances. Trained professionals ensure that all necessary safety measures are taken to protect both the acrobat and the monkey. Strict training and preparation are also key to minimizing any potential risks during the performance.

4. How do acrobats and monkeys train for their performances?

Acrobats and monkeys undergo rigorous training to prepare for their performances. Acrobats train their strength, flexibility, and coordination through various exercises and routines. Monkeys are also trained to perform specific stunts and tricks and to follow cues from their acrobat partner.

5. Are there any regulations or guidelines for acrobat and monkey performances?

Yes, there are regulations and guidelines in place for acrobat and monkey performances to ensure the safety and well-being of both the performers and the animals. These regulations may vary depending on the country or organization, but they typically involve proper training and handling of the animals, as well as regular inspections and permits.

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