Can One-Legged Jump Squats Equal the Force of a 600lbs Two-Legged Squat?

[DanMan7997]

One of my friends is really into exercising. He also knows someone who can squat around 600lbs. My friend believes that by doing one legged full range of motion jump squats he can become strong enough to squat 600lbs (this would be a two legged squat also with a full range of motion).

Since my friend is using one leg and the other fellow is using two, we believe he will need to produce twice as much force as the other man.

We also know it takes the two legged squater about 3s to complete his squat.
For my friend to complete a jump squat we estimate it to take him about .5s or less.

We also believe that the 2 legged lifter is lifting about 4/5 of his body weight + the actual 600lbs of weight he is using.
And my friend will be lifting more of his body weight than the other man because it is with one leg, so we will estimate it to be about his full body weight.

The 2 legged squater weighs about 125kg.
My friend weighs about 61kg.

We also have estimated the bottom of a squat to the top of a squat's range of motion to be .44m.

So what we want to know is what distance my friend will have to jump starting from the bottom of the squat position to the top of his jump's trajectory, to be creating the same amount of force someone who squats 600lbs is.

I know this seems like a real pain in the ass problem, and I don't even know if it can be solved with the given information, nor am I sure how to solve it correctly. So please offer any input on the problem that you can, and if you can actually solve it, it would greatly be appreciated.

Thanks a ton,
Dan

 

[AndyW]

I would like to address your friend's belief that by doing one legged full range of motion jump squats, he can become strong enough to squat 600lbs with two legs. While it is true that your friend will need to produce twice as much force as the other man who is squatting with two legs, there are several other factors to consider in this situation.

Firstly, the time it takes for your friend to complete a jump squat (.5s) is significantly shorter than the time it takes for the two-legged squatter to complete a squat (3s). This means that your friend will have to produce a much higher amount of force in a shorter amount of time, which may not be possible even with one leg.

Secondly, the 2 legged squatter is not just lifting 4/5 of his body weight, but also the actual weight of the 600lbs he is using. This means that the total weight being lifted is significantly higher than just his body weight. In comparison, your friend will only be lifting his body weight, which may not be enough to reach the same amount of force as the two-legged squatter.

Thirdly, the distance from the bottom of the squat position to the top of the jump's trajectory is not the only factor that determines the amount of force being produced. Other factors such as muscle strength and power also play a crucial role.

In conclusion, while your friend's goal of squatting 600lbs with one leg is admirable, it may not be realistic or safe to achieve. I would recommend focusing on proper form and gradually increasing weight and intensity in his training rather than trying to match the strength of someone who is already lifting 600lbs with two legs. It's important to remember that everyone's body is different and has different capabilities, and it's important to listen to your body and not push it beyond its limits.