Conservation of motion what the velocity of other fragment

In summary, the problem involves a shell traveling horizontally and due north, which explodes into 2 equal mass fragments. One fragment moves vertically upwards with a speed of Vo, and the velocity of the other fragment is being asked for. Using the equation v=(m1*v1+m2*v2)/(m1+m2), the problem can be solved by applying momentum conservation in the x and y directions and solving for 2 equations. The resulting answer for the velocity of the other fragment is (5)^1/2 times Vo at an angle of 26.6 degrees north-east.
  • #1
leonne
191
0

Homework Statement


A shell traveling with speed Vo exactly horizontally and due north explodes into 2 equal mass fragments. One fragment traveling vartically up with speed V0 what is the velocity of the other one?


Homework Equations



v=(m1*v1+m2*v2)/ m1+m2

The Attempt at a Solution


Would I just use this equation and just solve for V2? This is the only formula in the book section that looks like I could use to solve it. But not sure cause this formula is for 2 separate objects that hit each other then moves as a single object, thinking maybe i can make it as a single object that then breaks into 2 objects.
 
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  • #2
Let the other fragment move at an angle (theta) to the horizontal.
Apply momentum conservation in x and y directions.
Solve 2 equations and you will get your answer
I got v=(5)^1/2 V0 at an angle 26.6 degrees N-E
 
  • #3
k thxs ill try it out
 

FAQ: Conservation of motion what the velocity of other fragment

1. What is conservation of motion?

Conservation of motion is a fundamental law of physics that states that the total amount of motion in a closed system remains constant. This means that the total momentum and energy of a system will not change, even if individual components within the system may change.

2. How does conservation of motion relate to velocity?

Velocity is a measure of an object's speed and direction. According to the law of conservation of motion, the velocity of an object will remain constant as long as no external forces act upon it. In other words, if there are no external forces acting on the system, the velocity of the fragments will remain the same after a collision.

3. What happens to the velocity of other fragments in a collision?

The velocity of other fragments in a collision will typically change, but the total momentum of the system will remain the same. This means that if one fragment increases in velocity, another fragment will decrease in velocity in order to maintain the overall balance of momentum in the system.

4. Can the velocity of a fragment be conserved in a collision?

Yes, the velocity of a fragment can be conserved in a collision, but only in certain cases. This is known as an elastic collision, where the total kinetic energy of the system is conserved. In most collisions, however, some of the kinetic energy is converted into other forms of energy, such as heat or sound, resulting in a decrease in velocity for some fragments.

5. How is conservation of motion applied in real-world scenarios?

Conservation of motion is applied in many real-world scenarios, such as in the design of car safety features and the understanding of planetary motion. It is also used in engineering to ensure that structures and machines can withstand the forces and motion they will experience. Additionally, conservation of motion is crucial in the study of particle physics and the behavior of subatomic particles.

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