Force Calculation in High Jump Takeoff

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During a high jump takeoff, a jumper weighing 800N exerts a force of 3 kN against the ground. According to Newton's third law, the ground exerts an equal and opposite force back on the jumper. Therefore, the force exerted by the ground on the high jumper is also 3 kN. The initial calculations involving mass and acceleration are unnecessary for this problem. Understanding the application of Newton's laws is key to solving force-related questions in physics.
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Homework Statement


A high jumper with a body weight of 800N exerts a force of 3 kN against the ground during takeoff.
How much force is exerted by the ground on the high jumper?

Homework Equations


f=m x a
a=f/m

The Attempt at a Solution


I converted 800n into KN giving me 0.8

I then divided a=3kn/0.8kn

is this right?

if not, how do i fix the issue
 
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Hint: It's a trick question! (Consider Newton's 3rd law.)
 
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so 3kn, because every action has equal and opposite reaction. thank you
 
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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