Conservation of energy, A bomb explodes into three pieces

In summary, the problem involves a bomb exploding into three pieces, with two pieces having equal mass and flying off at 60 degrees to each other with a speed of 100 m/s. The third piece has three times the mass of each of the other pieces. The direction and magnitude of the third piece immediately after the explosion can be found by using the equations 2A + 60 = 360 and 2*100m/s cos(180-150)-3mv = 0. The direction of the third piece is 150 degrees and the magnitude is 57.7.
  • #1
ErikiaMeno
1
0

Homework Statement


A bomb explodes into three pieces, two have an equal mass and fly off at 60 degress to one another with the speed of 100 m/s. The third piece has three times the mass of each of the other pieces. Find the direction and magnitude of the third piece immediatly after the explosion



Homework Equations


Is my solution correct?
If not, how should I re-approach the problem


The Attempt at a Solution


2A + 60 = 360
2A = 300
A = 150 degres, A is the direction of the third angle

2*100m/s cos(180-150)-3mv = 0
200/3cos(30)
57.7
 
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  • #2
Welcome to PF!

Hi ErikiaMeno! Welcome to PF! :smile:
ErikiaMeno said:
2A + 60 = 360
2A = 300
A = 150 degres, A is the direction of the third angle

2*100m/s cos(180-150)-3mv = 0
200/3 cos(30)
57.7

Yes, that looks ok …

what is worrying you about that? :confused:​
 

Related to Conservation of energy, A bomb explodes into three pieces

1. What is the principle of conservation of energy?

The principle of conservation of energy states that energy cannot be created or destroyed, but can only be converted from one form to another. This means that the total amount of energy in a closed system will remain constant.

2. How does the conservation of energy apply to a bomb explosion?

In a bomb explosion, potential energy is rapidly converted into kinetic energy as the bomb fragments and debris are propelled outward. However, the total amount of energy before and after the explosion remains the same, following the principle of conservation of energy.

3. Can the energy from a bomb explosion be harnessed for other purposes?

Yes, the energy from a bomb explosion can be harnessed for various purposes, such as powering machinery or generating electricity. However, this process is not efficient and can also be dangerous, so it is not commonly done.

4. How do scientists measure the energy released from a bomb explosion?

Scientists use a unit called joules (J) to measure energy. The energy released from a bomb explosion can be measured by calculating the difference in potential energy before and after the explosion, or by measuring the force and distance of the explosion.

5. Is the conservation of energy a universal law?

Yes, the conservation of energy is considered a fundamental law of physics and applies to all systems, from microscopic particles to the entire universe. It has been extensively tested and proven through various experiments and observations.

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