Find the magnitudes of the impulse on him from the water

AI Thread Summary
To find the impulse on Henri LaMothe from the water after his belly flop, one must first calculate his velocity upon impact using gravitational potential energy and kinetic energy equations. The potential energy is calculated as Ug = mgh, resulting in approximately 7,977.49 J. The impulse can then be determined using the formula I = mv1, where v1 is the velocity at impact. Since LaMothe comes to a complete stop in the water, the final velocity (v2) is zero, making the impulse equal to the momentum at impact. Understanding the relationship between impulse, momentum, and the stopping distance in water is crucial for solving this problem.
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[SOLVED] IMPULSE, i need HELP!

Homework Statement



Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 11 m into 30 cm. of water (Figure 9-49). Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 76 kg, find the magnitudes of the impulse on him from the water.


Homework Equations



Impulse = Force * Time
Ug = mgh



The Attempt at a Solution




Ug = (76)(9.81)(11-0.3) = 7,977.492
 
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1. Homework Statement

Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 11 m into 30 cm. of water (Figure 9-49). Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 76 kg, find the magnitudes of the impulse on him from the water.


2. Homework Equations

Impulse = Force * Time
Ug = mgh



3. The Attempt at a Solution


Ug = (76)(9.81)(11-0.3) = 7,977.492




DO I USE PROJECTILE MOTION, and if i do, then how?
 
Someone Please Help Me!
 
ok well.. that's not the only formula... its also impulse = mv1-mv2
 
To solve the problem, one needs to find the velocity just as LaMothe hits the water.

Equate the change in gravitational potential energy (mgh), h = 76 m, with the change in KE = 1/2 mv2, and use that to get v at the time LaMothe impacts the water.

From that, one gets mv1. LaMothe must competely stop in 0.3 m of water, so determine the average velocity at constant deceleration. Then compute the time interval to stop by 0.3 m/(vav).

Here is a good reference - http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot1

Impulse - http://hyperphysics.phy-astr.gsu.edu/hbase/impulse.html#c1
 
If you haven't learned work energy theorem, use basic kinematic formulas such as V(final)^2=V(initial)^2-2g(deltaX).

Now, I could be wrong, but i think that's it... your v2=0, so u mV1 is the impulse.. now if u were asked to find the Fmax, or the force at any given time while its in the water, then its different.
 
Last edited:
also we don't have a figure; so, there could some minor chance that I didn't understand the problem completely
 
aq1q said:
If you haven't learned work energy theorem, use basic kinematic formulas such as V(final)^2=V(initial)^2-2g(deltaX).

Now, I could be wrong, but i think that's it... your v2=0, so u mV1 is the impulse.. now if u were asked to find the Fmax, or the force at any given time while its in the water, then its different.

He still moves a distance of 30 cm after he hits the water, so v2 wouldn't be 0.
 
your v2=0, so u mV1 is the impulse..
That is correct with mv1 being the momentum at contact with the water and v= 0 (mv = 0) at the bottom of the water.

Then I = m\Deltav = m(V1-0) = mv1.
 
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