We appreciate your visit to A bomb at rest has a mass of 60 kg It explodes and a fragment of 40 kg has kinetic energy of 96 joules What. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The kinetic energy of the other fragment is 192 J. To find this, you need to calculate the initial kinetic energy of the bomb and then subtract the given fragment's kinetic energy from it. So, option (D) is correct.
Explanation:
The kinetic energy of the other fragment is 192 J.
Calculate the initial kinetic energy of the bomb using the formula [tex]1/2 * mass * velocity^2.[/tex]
Since total mechanical energy is conserved, subtract the kinetic energy of the given fragment from the initial kinetic energy to find the kinetic energy of the other fragment.
Plug in the values to find that the kinetic energy of the other fragment is 192 J.
Thanks for taking the time to read A bomb at rest has a mass of 60 kg It explodes and a fragment of 40 kg has kinetic energy of 96 joules What. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
The kinetic energy of the other fragment, after a 60 kg bomb explodes and one fragment has a kinetic energy of 96 J, is calculated to be 192 J using the principles of conservation of momentum and kinetic energy. Option D is the correct answer.
Explanation:
The question involves applying the principle of conservation of momentum and energy to find the kinetic energy of a bomb fragment after the explosion. In an explosion, the system's total momentum is conserved.
Since the bomb was initially at rest and ignoring external forces, the combined momentum of the fragments must also be zero. This implies that the momenta of the two fragments are equal in magnitude and opposite in direction.
Therefore, if one fragment has a mass of 40 kg and a kinetic energy of 96 J, we can calculate its velocity using the kinetic energy formula KE = (1/2)mv².
Then, using the conservation of momentum, we can find the velocity of the other fragment. If we let m1 and m2 be the masses of the fragments, and v1 and v2 be their velocities, the total momentum before and after the explosion should be equal: m1v1 + m2v2 = 0.
After finding v2, we can then calculate the kinetic energy of the other fragment (20 kg) using the same kinetic energy formula. After performing the calculations, you will find that the kinetic energy of the 20 kg fragment is 192 J, which corresponds to option D).
