Projectile Motion: Salmon Jumping a Waterfall - Calculating Minimum Speed Needed

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A user seeking help with projectile motion asks how to calculate the minimum speed a salmon needs to jump a 2.5m waterfall. The discussion highlights the importance of understanding projectile motion principles, including the effects of gravity and relevant kinematic equations. A formula, v = √2gs, is introduced, leading to the conclusion that the minimum speed required is 7 m/s. The user expresses gratitude for the assistance and acknowledges the learning process. This thread emphasizes the application of physics concepts to solve real-world problems.
Rumplestiltskin
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Hi all. I just recently dropped psychology for physics so this topic as a whole has me stumped and the textbook isn't helping. I'll be using this thread for any questions that arise pertaining to projectile motion (so more than one), if that's cool? Should be really basic. Thanks.

1. Homework Statement

A salmon moving upstream to its breeding grounds jumps a waterfall 2.5m high. With what minimum speed must it leave the water below to reach the top level?

Homework Equations

[/B]
Vectors:
Vy = Vsinθ
Vx = Vcosθ

Suvat?

3. The Attempt at a Solution

Don't understand how you can work anything out with one piece of data...
 
Last edited:
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Hi Rumplestiltskin, Welcome to Physics Forums.

Rumplestiltskin said:
I'll be using this thread for any questions that arise pertaining to projectile motion (so more than one), if that's cool? Should be really basic. Thanks.
That would be contrary to forum rules. One problem per thread, so new questions get new threads (even if they are on related topics).

Homework Statement

A salmon moving upstream to its breeding grounds jumps a waterfall 2.5m high. With what minimum speed must it leave the water below to reach the top level?

Homework Equations

[/B]
Vectors:
Vy = Vsinθ
Vx = Vcosθ

3. The Attempt at a Solution

Don't understand how you can work anything out with one piece of data :sorry:
You're given more than you might think as there is the assumption that this is a projectile motion problem taking place near the surface of the Earth. So you know, for example, that the motion will be affected by the acceleration due to gravity (g). and that all the standard kinematic equations for projectile motion apply.

Some things to become familiar with in the study of projectile motion include the range formula, the launch angle for maximum range, the maximum height of a projectile given its launch conditions (speed, angle).
 
After a cursory reading into the topics you mentioned I came across the vaguely familiar formula v = √2gs. Plugging in 9.81ms-2 for g and 2.5m for displacement s, I arrived at 7 ms-1 for the answer; the mark scheme confirmed this. Thanks! And sorry to waste your time.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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