Average magnitude of force during a 0.4 second impact

In summary, a 40kg branch falls 5.5m and lands on a roof, with a calculated magnitude of average force exerted during the impact of 1037.5N when the impact time was 0.4 seconds.
  • #1
Crushgear64
12
0

Homework Statement



A 40kg branch falls 5.5m and lands on a roof. The roof withstood the the impact.

Homework Equations



If the impact time was 0.4 second calculate the magnitude of the average force exerted on the roof during the impact.

The Attempt at a Solution



F=ma doesn't seem right because it's in free fall though.
P=mv ≈ 415
415/0.4=1037.5N?

Is this right?
 
Last edited:
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  • #2
Crushgear64 said:

Homework Statement



A 40kg branch falls 5.5m and lands on a roof. The roof withstood the the impact.

Homework Equations



If the impact time was 0.4 second calculate the magnitude of the average force exerted on the roof during the impact.

The Attempt at a Solution



F=ma doesn't seem right because it's in free fall though.
P=mv ≈ 415
415/0.4=1037.5N?

Is this right?
That is correct !
 

Related to Average magnitude of force during a 0.4 second impact

1. What is the average magnitude of force during a 0.4 second impact?

The average magnitude of force during a 0.4 second impact depends on various factors such as the mass and velocity of the object, and the elasticity of the materials involved. It can be calculated using the formula F=ma, where F is the force, m is the mass, and a is the acceleration.

2. How is the average magnitude of force during a 0.4 second impact measured?

The average magnitude of force during a 0.4 second impact can be measured using force sensors or by analyzing the acceleration and velocity data of the objects involved in the impact. This can also be done through experiments and simulations.

3. What is the importance of knowing the average magnitude of force during a 0.4 second impact?

Knowing the average magnitude of force during a 0.4 second impact is important in understanding the potential damage or injury that can occur during an impact. It also helps engineers and designers in creating safer and more efficient structures and materials.

4. How does the average magnitude of force during a 0.4 second impact affect the human body?

The average magnitude of force during a 0.4 second impact can have a significant impact on the human body, especially if it is a high force. It can cause injuries such as bruises, fractures, and concussions. The duration of the impact also plays a role in the severity of the injury.

5. Can the average magnitude of force during a 0.4 second impact be reduced?

Yes, the average magnitude of force during a 0.4 second impact can be reduced by using materials with higher elasticity, increasing the impact duration, and implementing safety measures such as protective gear. Additionally, proper engineering and design can also help in reducing the force of impact.

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