A 59 kg pole vaulter falls from rest from a height of 4.7 m onto a

In summary, a 59 kg pole vaulter falls from rest from a height of 4.7 m and comes to rest 0.34 seconds after landing on a foam rubber pad. The athlete's velocity just before reaching the pad can be calculated using the equation delta p=Ft. The constant force exerted on the pole vaulter due to the collision can be calculated using the equation mv=Ft. Additionally, the equation z=1/2at^2 can be used to relate the falling motion of the pole vaulter to the equations given. It is important to have a basic understanding of physics concepts and equations in order to solve this problem.
  • #1
hailstorm17
2
0
a 59 kg pole vaulter falls from rest from a height of 4.7 m onto a foam rubber pad. the pole vaulter comes to rest 0.34 seconds after landing on the pad. calculate the athlete's velocity just before reaching the pad. calculate the constant force exerted on the pole vaulter due to the collision. (the answers are: -9.6 m/s, 1666 N)
 
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  • #2


you've got to post some form of attempt or at the very least a question..
we aren't going to just give you the answer, you won't learn anything from that

what about this problem do you not understand?
have you started to attempt to solve it, if so how far have you gotten?
 
  • #3


i literally know nothing about physics. apparently I'm supposed to use the following:
delta p=Ft
mv=Ft
z=1/2at^2
 
  • #4


hailstorm17 said:
i literally know nothing about physics. apparently I'm supposed to use the following:
delta p=Ft
mv=Ft
z=1/2at^2

That'll be a bit of bother then.. how come you are doing physics problems if you know nothing of physics?


Regarding the first part of the problem, do you know what it is that makes the pole vaulter fall to the ground? If so, do you know how to relate that to the equations you have?
Furthermore, do you understand what the equations you have mean?
 
  • #5


I would like to first clarify that the given answers are correct and the calculations seem to have been done accurately. Now, let's delve into the physics behind this scenario.

We can use the equation v = u + at, where v is the final velocity, u is the initial velocity (in this case, 0 m/s since the pole vaulter is falling from rest), a is the acceleration, and t is the time. Rearranging this equation, we get a = (v-u)/t.

Plugging in the given values, we get a = (-9.6 m/s - 0 m/s)/0.34 s = -28.24 m/s^2. This negative value indicates that the athlete is decelerating (slowing down) as they come in contact with the foam rubber pad.

Next, we can use the equation F = ma, where F is the force, m is the mass (59 kg), and a is the acceleration (calculated above). Plugging in the values, we get F = 59 kg x -28.24 m/s^2 = -1666 N. The negative sign indicates that the force is acting in the opposite direction of the motion, which makes sense as the foam rubber pad is exerting a force on the athlete to slow them down.

In conclusion, the athlete's velocity just before reaching the pad is -9.6 m/s and the constant force exerted on them due to the collision is -1666 N. These values provide important information for understanding the dynamics of the pole vaulter's fall and the impact of the foam rubber pad on their body.
 

Related to A 59 kg pole vaulter falls from rest from a height of 4.7 m onto a

1. How fast will the pole vaulter be traveling when they hit the ground?

Using the equation v = √(2gh), where v is the final velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height, we can calculate the velocity to be approximately 9.7 m/s.

2. Is there a way to minimize the impact force on the pole vaulter?

Yes, the impact force can be minimized by either increasing the time of impact or decreasing the force of impact. This can be achieved by using a soft landing surface or having the pole vaulter bend their knees upon landing.

3. What is the potential energy of the pole vaulter at the top of the pole?

The potential energy can be calculated using the equation PE = mgh, where m is the mass of the pole vaulter (59 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (4.7 m). The potential energy is approximately 2797 joules.

4. How does the height of the pole vaulter affect their landing?

The higher the height, the greater the potential energy and therefore, the greater the impact force upon landing. The pole vaulter should aim to have a controlled descent to minimize the impact force.

5. Can the pole vaulter's weight affect their landing?

Yes, the pole vaulter's weight can affect their landing. A heavier pole vaulter will have a greater impact force than a lighter pole vaulter, assuming all other factors remain constant. Therefore, it is important for pole vaulters to maintain a healthy weight to minimize the risk of injury upon landing.

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