Pulley + Projection Dynamics/Kinematics Q [Star Wars]

In summary, Han Solo falls off a cliff 5 zons above the ground and lands on a level surface. His gravitational acceleration on this rebel planet is unknown, but it is estimated to be around 2.444 Ga.
  • #1
jb182
1
0
I got this today as a take home bonus after a grade 12 physics test on kinematics and dynamics.

QUESTION: Han Solo is holding a rope that is supporting Princess Leia, of mass 55 alistones (an alien unit of mass), 3 zons (an alien unit of length) above the ground as shown. Han, of mass 80 alistones, is holding onto his spaceship, the Millennium Falcon, standing on the frictionless surface of an alien cliff, and he is more than 3 zons from the edge. When he loses his grip on the ship, both he and the princess accelerate to the same speed until she lands on the ground, at which point she releases the rope. Soon after, Han will fall off the 5 zons high cliff as a projectile. How far from the princess in zons does he land on the level surface? The gravitational acceleration on this rebel planet is unknown.

Note: The picture has HAN standing next to his ship (its a 2D pic). There is a rope going perfectly horizontal to the edge of the 'cliff'. The cliff drops off perfectly vertical (ie. 90 degrees to the horizontal) and then after '5 zons' it levels off to the perfect horizontal (looks kinda like a stair on a stair case). Han is holding onto the rope which goes across the horizontal, drops off the edge of the cliff and its holding leia in the air 3 zons above the ground.

I've been trying for the last hour and a half to equate the equations and somehow cancel out the g values, but I can't get it. For simplicity, you can say alisons are kg, and zons are m.

Any help is appreciated! Thanks!
 
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  • #2
Welcome to PF.

Maybe focus on how he is accelerated?

As a system until Leia hits the ground they are both accelerated by 55/135*Ga where Ga is the alien gravity in units/s2

They are accelerated for 3 units. That means that Hans will have a horizontal V2 = 2*55/135*Ga*3 = 2.444 Ga

How long to fall the 5 units for Han then? Won't that time times his horizontal V be how far away he lands from Leia and her coiled bun hair-do?
 
  • #3
I'd try introducing Jabba the Hut to the problem, should clear everything up.
 

Related to Pulley + Projection Dynamics/Kinematics Q [Star Wars]

1. How is a pulley used in Star Wars?

In Star Wars, pulleys are used in various ways, such as lifting heavy objects, controlling doors and gates, and even in the iconic lightsaber battles. For example, in the Death Star trench run scene, Luke Skywalker uses a pulley system to release the proton torpedoes into the exhaust port.

2. What is the role of projection dynamics/kinematics in Star Wars?

Projection dynamics/kinematics is the study of how objects move through space and time. In Star Wars, this is seen in the trajectories of spaceships, blaster bolts, and lightsabers. The use of projection dynamics/kinematics adds realism and excitement to the action scenes in the movies.

3. Can you explain the physics behind the lightsaber duels in Star Wars?

The lightsabers in Star Wars are plasma-based, and their movements are based on the principles of projection dynamics/kinematics. The characters use their knowledge of force and momentum to create intricate and fast-paced movements, making the lightsaber duels both visually stunning and physically realistic.

4. How does the Force affect pulley and projection dynamics/kinematics in Star Wars?

The Force, a mystical energy field, plays a significant role in Star Wars. It allows characters to manipulate objects and enhance their physical abilities. In the movies, we see characters like Yoda and Darth Vader using the Force to move objects using pulley systems and to enhance their projection dynamics/kinematics during battles.

5. Are there any scientific inaccuracies in the use of pulleys and projection dynamics/kinematics in Star Wars?

While Star Wars does take creative liberties with physics and technology, the use of pulleys and projection dynamics/kinematics is generally accurate. However, some scenes, such as the lightsaber duels, may exaggerate the capabilities of these principles for cinematic effect. Overall, the use of science in Star Wars adds to the imaginative and immersive experience of the franchise.

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