Calculating Speed and Force of a 10m Dive

In summary, the diver's final velocity can be found using the equation v_{f}^{2}=v_{i}^{2}+2ad. For part b, the net force exerted by the water can be determined by manipulating this equation and multiplying the result by the diver's mass. It's important to be consistent with positive and negative signs throughout the problem.
  • #1
tennisacerg
4
0
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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  • #2
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)
 
  • #3
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.)
 

Related to Calculating Speed and Force of a 10m Dive

1) How do you calculate the speed of a 10m dive?

The speed of a 10m dive can be calculated by dividing the distance (10m) by the time it takes to complete the dive. This will give you the average speed in meters per second.

2) What is the formula for calculating the force of impact in a 10m dive?

The formula for calculating the force of impact in a 10m dive is F = m x a, where F is the force, m is the mass of the diver, and a is the acceleration due to gravity (9.8 m/s^2). This will give you the force of impact in Newtons (N).

3) How does the speed of a dive affect the force of impact?

The speed of a dive directly affects the force of impact. The faster the diver is moving, the greater the force of impact will be. This is because the force of impact is directly proportional to the square of the speed.

4) What other factors can influence the force of impact in a 10m dive?

Aside from the speed of the dive, other factors that can influence the force of impact include the angle of entry into the water, the surface area of the diver's body, and the density of the water. A steeper angle of entry and a smaller surface area will result in a greater force of impact, while a denser water medium will decrease the force of impact.

5) Is it possible to decrease the force of impact in a 10m dive?

Yes, it is possible to decrease the force of impact in a 10m dive by adjusting the angle of entry, reducing the speed of the dive, or increasing the surface area of the diver's body through techniques such as spreading out the arms and legs. This can help reduce the risk of injury from high impact forces.

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