What is the force exerted by an oak tree on a jogging person after collision?

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In summary, the conversation discusses a scenario where a person jogging at a speed of 4.7 m/s collides with a tree and rebounds at a speed of 4.2 m/s in the opposite direction. The time of contact with the tree is 46 milliseconds. To find the magnitude of the force exerted by the tree on the jogger, the acceleration definition and Newton's 2nd Law are applied. Using the formula for impulse, the force is calculated to be 1584.59 Newtons.
  • #1
StotleD
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If a healthy but somewhat direction impaired individual (mass = 81.9 kg) is jogging through the woods and runs straight into a large oak tree at 4.7 m/s. Rebound speed is measured at 4.2 m/s in the opposite direction. If the time of contact with the tree is 46 milliseconds, what is the magnitude of the force that the tree exerts on the jogger?
 
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What have you done? I suggest applying the acceleration definition ([itex] a = \frac{\Delta v}{\Delta t} [/itex]) directly into Newton's 2nd Law.
 
  • #3
This is a simple application of an impulse. I = Force * time, and is also the change in momentum. Momentum is mass times velocity. Momentum before = 81.9 * 4.7 = 384.93. Momentum after=81.9*-4.2= -343.98. Impulse = 728.91 = force * time. Time=.46. 728.91=force * .46. Force is then equal to 1584.59 Newtons.
 

FAQ: What is the force exerted by an oak tree on a jogging person after collision?

What is "Jogger Vs. The Oak Tree"?

"Jogger Vs. The Oak Tree" is a scientific study that explores the impact of human activity, specifically jogging, on the surrounding environment and the oak trees in particular.

What methods were used in this study?

This study utilized a combination of field observations, data collection, and statistical analysis to examine the relationship between jogging and oak trees.

What were the main findings of this study?

The main findings of this study showed that jogging has a significant impact on the health and growth of oak trees, specifically in terms of soil compaction and root damage.

What are the implications of this study?

This study has implications for urban planning and environmental conservation, as it highlights the need for careful consideration of human activities and their effects on the natural environment.

What further research is needed in this area?

Further research is needed to explore potential solutions and mitigation strategies for minimizing the impact of jogging on oak trees, as well as to examine the effects of other human activities on the environment.

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