Elastic collision between mosquito and Dinosaur

Click For Summary
SUMMARY

The discussion centers on an elastic collision between a mosquito and a dinosaur, where the mosquito travels west at 5 m/s and the dinosaur east at 3 m/s. The key conclusion is that in an elastic collision, both momentum and kinetic energy are conserved, leading to the mosquito rebounding at a speed of 8 m/s in the opposite direction. The mass of the dinosaur is assumed to be infinitely greater than that of the mosquito, allowing the dinosaur's velocity to remain unchanged post-collision. The analysis emphasizes the importance of observing the collision from the dinosaur's frame of reference.

PREREQUISITES
  • Understanding of elastic collisions
  • Familiarity with momentum conservation principles
  • Knowledge of kinetic energy calculations
  • Ability to analyze problems from different reference frames
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in physics
  • Learn about momentum conservation in one-dimensional collisions
  • Explore kinetic energy equations and their applications
  • Investigate frame of reference transformations in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain concepts of momentum and energy conservation in collisions.

Freeman25
Messages
1
Reaction score
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...
 
Last edited:
Physics news on Phys.org
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?
 
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.
 

Similar threads

Replies
10
Views
3K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
19
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K