Elastic collision between mosquito and Dinosaur

In summary, when a small mosquito traveling west at 5 m/s collides with a massive dinosaur traveling east at 3 m/s in an elastic collision, the speed of the mosquito after bouncing off the dinosaur can be found by using the equation p1m1 = p2m2 and assuming the mass of the dinosaur is infinitely greater than that of the mosquito. This means that the dinosaur's velocity will not be significantly affected, while the mosquito's velocity will be greatly impacted. By solving for the velocity in the frame of reference of the dinosaur, it can be determined that the mosquito will be receding with a speed equal to its initial velocity of 5 m/s.
  • #1
Freeman25
1
0

Homework Statement


A very small mosquito is flying west at 5 m/s, when a very massive dinosaur is going east at 3 m/s charges right into it. If the collision is elastic what is the speed of the mosquito when it bounces off the dinosaur.

Homework Equations


Ek= 1/2 mv^2
P=mv

The Attempt at a Solution


Elastic collision so momentum and kinetic energy are conserved

p1m1 = p2m2

I'm really not sure how to go about the solution. Most of my attempts have been theoretical. I'm stumped due to lack of specifics on their masses...
 
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  • #2
You can safely assume that the mass of the dinosaur is so much greater than that of the mosquito that its velocity will not be noticeably changed in the collision. So imagine that you are sitting on top of the dinosaur and observing the collision from that frame of reference. How fast is the mosquito approaching? When it bounces elastically (like a ball hitting a massive wall), how fast will it be receding?
 
  • #3
This case has to solved assuming mass of dinosaur as infinitely greater than than that of the mosquito . The dinosaur will continue moving with same velocity while mosquito will be affected a lot.(why?) Now, it would be better to solve this in the frame of dinosaur.
 

Related to Elastic collision between mosquito and Dinosaur

1. What is an elastic collision?

An elastic collision is a type of collision in which the total kinetic energy of the system is conserved. This means that the total energy before the collision is equal to the total energy after the collision.

2. Can a mosquito and a dinosaur have an elastic collision?

Technically, yes. In order for a collision to be considered elastic, the objects involved must have no permanent deformation or energy loss. However, a mosquito and a dinosaur are vastly different in size and mass, so the likelihood of an elastic collision between them is extremely low.

3. What would happen in an elastic collision between a mosquito and a dinosaur?

In an elastic collision between a mosquito and a dinosaur, the mosquito would bounce off of the dinosaur with the same speed and energy that it had before the collision. The dinosaur, being much larger and heavier, would barely be affected by the collision.

4. How is the speed and direction of the mosquito and dinosaur affected in an elastic collision?

In an elastic collision, the speed and direction of the objects involved will change depending on the angle at which they collide. However, the total kinetic energy of the system will remain the same.

5. Why is it unlikely for a mosquito and dinosaur to have an elastic collision?

The main reason why it is unlikely for a mosquito and dinosaur to have an elastic collision is because their size and mass differences make it difficult for them to have a direct, head-on collision. Additionally, the atmosphere and environment in which they exist also play a role in the likelihood of such a collision occurring.

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