Calculating Speed and Force of a 10m Dive

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SUMMARY

A 65 kg diver jumping from a 10 m platform reaches a speed of 14.14 m/s upon entering the water, calculated using the kinematic equation Vf² = Vi² + 2ad, where Vi is 0, a is -9.81 m/s², and d is 10 m. To find the net force exerted by the water when the diver comes to a stop 2.0 m below the surface, the work-energy principle is applied. The work done by gravity equals the work done by the water, leading to the equation (Fwater)(2.0 m) = (mg)(distance), allowing for the calculation of the water's force on the swimmer.

PREREQUISITES
  • Understanding of kinematic equations, specifically Vf² = Vi² + 2ad
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Familiarity with the work-energy principle in physics
  • Ability to manipulate algebraic equations to solve for unknowns
NEXT STEPS
  • Study the application of kinematic equations in free fall scenarios
  • Learn about the work-energy theorem and its applications in physics
  • Explore the concept of net force and how it relates to mass and acceleration
  • Investigate real-world applications of diving physics in sports science
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Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of diving and forces in fluid environments.

tennisacerg
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Can you please help me out with this problem?!?

A 65 kg person dives into the water from the 10 m platform.

a)What is her speed as she enters the water?

b)She comes to a stop 2.0 m below the surface of the water. What net force did the water exert on the swimmer?
 
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Part A is simple kinematics.
recall Vf(sq)=Vi(sq)+2(a)(d)
(carefull--a=g which is negative.)

Part B is not realistic, but can be solved easily with an energy approach. Remember that gravity does a total work of (mg)(distance). Don't forget about the distance into the water--that matters. If the diver stops, the work by gravity is the same as the work by the water= (Fwater)(distance)
 
tennisacerg said:
Can you please help me out with this problem?!?

A 65 kg person dives into the water from the 10 m platform.

a)What is her speed as she enters the water?

b)She comes to a stop 2.0 m below the surface of the water. What net force did the water exert on the swimmer?

As was already stated:

[tex]v_{f}^{2}=v_{i}^{2}+2ad[/tex]

You can solve for final velocity from this.

Using the same equation, you can determine part b. You will, of course, be required to manipulate the equation to solve for a, and then multiply this result by the diver's mass to determine the force applied by the water.

Watch your signs throughout! (I.e. make positive either up or down, and then stick with that throughout.)
 

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