Askiitians Tutor Team
Last Activity: 4 Months ago
Let's break down this scenario step by step, focusing on the interactions between the monkey and the bananas as the monkey climbs the rope and what happens afterward. This involves understanding basic principles of physics, particularly Newton's laws of motion and the concept of tension in a rope.
Monkey Climbing the Rope
When the monkey climbs the rope, it exerts a force on the rope, which creates tension. Since the pulley is frictionless and the rope is light, we can analyze the system as follows:
Movement of the Bananas
(a) As the monkey climbs, the bananas will move upward. This happens because the monkey's upward force on the rope causes the tension to increase, which in turn lifts the bananas. Since both the monkey and the bananas have the same mass (20 kg), the system is balanced, and the bananas will rise as the monkey climbs.
Distance Between the Monkey and the Bananas
(b) The distance between the monkey and the bananas decreases as the monkey climbs. Since both are moving in the same direction (upward) and at the same rate, the gap between them shrinks. If the monkey climbs a certain distance, the bananas will rise the same distance, reducing the distance between them.
Releasing the Rope
Now, let's consider what happens when the monkey releases its hold on the rope.
Distance During the Fall
(c) When the monkey lets go of the rope, it will begin to fall due to gravity. During this fall, the distance between the monkey and the bananas will increase. The bananas will remain at rest (assuming no other forces act on them), while the monkey accelerates downward. This means the monkey will fall away from the bananas, increasing the distance between them.
Stopping the Fall
Finally, let's analyze the situation when the monkey grabs the rope again before reaching the ground.
Effect on the Bananas
(d) When the monkey grabs the rope to stop its fall, the tension in the rope will increase again. This sudden action will cause the monkey to decelerate quickly. However, the bananas will remain at rest unless acted upon by another force. If the monkey pulls on the rope with enough force, it can cause the bananas to move upward slightly due to the tension created in the rope. However, if the monkey simply stops its fall without exerting additional force, the bananas will remain stationary.
Summary of Key Points
- The bananas move upward as the monkey climbs.
- The distance between the monkey and the bananas decreases while climbing.
- The distance increases when the monkey releases the rope and falls.
- The bananas remain at rest when the monkey grabs the rope to stop its fall unless additional force is applied.
This scenario illustrates the principles of tension, gravity, and motion in a clear and engaging way. Understanding these concepts helps us analyze various physical situations involving forces and movements.
