Impulse Momentum: Comparing Forces

In summary, the conversation discusses the average force on a passenger involved in a car crash and compares it to the average force exerted by an airbag. The average force on the passenger is calculated to be 1.2*10^6 N and compared to the average force exerted by an airbag of 10.5*10^4 N. The equations used are momentum of the person and F ave= delta p/ delta t.
  • #1
marisa29
6
0
1. 2) A car is moving at 60.0 m/s and crashes into a wall. The messenger is not wearing his seat belt.
a. What is the average force acting on the passenger of 70 kg if he is brought to rest by a collision with the windshield and dashboard that lasts 3.5 ms.
b. Compare this value of the average force with the average force exerted by an air bag that bring the passenger to rest in 40 ms.



2. delta(p)=Force*delta time
Fave= delta p/ delta t


The Attempt at a Solution



a) Momentum of the person
70 kg * 60 m/s = 4200 kg*m/s
F ave= 4200/.0035 sec= 1.2*10^ 6 N

B) 4200/.040 sec= 10.5*10^4 N
 
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  • #2
So what is your question? You need to start being more specific what you need help with.

Your math looks fine and I would think that's the right answer if your equation are correct.
 
  • #3


In response to the content provided, I would like to explain the concept of impulse and momentum and how it relates to the scenario given. Impulse is defined as the change in momentum of an object and is equal to the force applied multiplied by the change in time. In this case, the change in time is the duration of the collision between the car and the wall, which is 3.5 ms. Momentum, on the other hand, is the product of an object's mass and velocity.

In the given scenario, the car is moving at a constant velocity of 60.0 m/s and crashes into a wall. The passenger, who weighs 70 kg, is not wearing a seat belt and is brought to rest by the collision with the windshield and dashboard. The average force acting on the passenger is calculated by dividing the change in momentum by the change in time.

a) The first step is to calculate the momentum of the passenger before the collision. This can be done by multiplying the mass of the passenger by the velocity of the car, which gives a value of 4200 kg*m/s. Then, dividing this value by the duration of the collision, which is 3.5 ms, gives an average force of 1.2*10^6 N acting on the passenger.

b) In comparison, if the passenger was wearing an airbag, the duration of the collision would be longer, approximately 40 ms. Using the same formula, the average force exerted by the airbag would be 10.5*10^4 N. This value is significantly lower than the force exerted without an airbag, which shows the importance of wearing a seat belt and having safety features such as airbags in a car.

In conclusion, the concept of impulse and momentum helps us understand the forces acting on an object during a collision. It also highlights the importance of safety features in vehicles to reduce the impact force and protect passengers. As scientists, it is important to continue studying and improving these safety measures to make our daily lives safer.
 

Related to Impulse Momentum: Comparing Forces

1. What is impulse momentum?

Impulse momentum is a physical quantity that describes the change in an object's momentum as a result of a force acting on it for a certain amount of time. It is calculated by multiplying the force applied to an object by the time it is applied.

2. How is impulse momentum related to Newton's laws of motion?

Impulse momentum is closely related to Newton's second law of motion, which states that the net force acting on an object is equal to the rate of change of its momentum. By applying a force for a certain amount of time, the object's momentum changes, demonstrating the principle of impulse momentum.

3. How does impulse momentum differ from regular momentum?

Impulse momentum takes into account the amount of time that a force is applied to an object, while regular momentum only considers an object's mass and velocity. This means that two objects with the same momentum can have different impulse momentum if they experience different forces for different amounts of time.

4. Can impulse momentum be negative?

Yes, impulse momentum can be negative. This occurs when a force is applied in the opposite direction of an object's motion, resulting in a decrease in its momentum. Negative impulse momentum can also occur when an object experiences a force for a certain amount of time, but then experiences a force in the opposite direction for a longer amount of time.

5. How is impulse momentum used in real-life situations?

Impulse momentum is used in a variety of real-life situations, such as car crashes, sports, and rocket propulsion. By calculating the impulse momentum, scientists and engineers can better understand the forces acting on an object and how to design systems that can handle these forces. It is also used in safety features, such as airbags, to decrease the impact force during collisions.

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