An explosion breaks an object into two pieces, one of which has 3.20 times the mass of the other. If 8000 J were released in the explosion, how much kinetic energy did each piece acquire?
I started with using KE = (1/2)mv^2 and m1v1 = m2v2. Then (1/2)m1(v1)^2 + (1/2)m2(v2)^2 = 8000J. How do I find the velocities? I tried rearranging the equations to solve for one of the unknowns, but got stuck.

Momentum is conserved. The initial momentum is zero, therefore:

m1 v1 + m2 v2 = 0 ---->

m1 v1 = m2 v2 ----->

(m1 v1)^2 = (m2 v2)^2

1/2 m1 v1^2 = 1/2 m2 v2^2 * (m2/m1)

So, you have:

KE1 + KE2 = 8000 J


KE1 = (m2/m1) KE2

  1. 👍 1
  2. 👎 0
  3. 👁 605

Respond to this Question

First Name

Your Response

Similar Questions


    An internal explosion breaks an object, initially at rest, into two pieces. One piece (m1) is 1.5 times more massive than the other (m2). If 7500 J were released by the explosion, how much KE did each piece acquire?

  2. science

    Two identical masses are moving down a slope. One mass is traveling twice as fast as the other mass. How does the kinetic energy of one mass compare to the other? a. The faster object has the same kinetic energy as the slower

  3. physics

    A basketball explodes into three separate pieces. Two pieces of equal mass shoot off at 20.3 m/s, one travelling to the south and one to the west, perpendicular to each other. The third piece has a mass 4 times the size of one of

  4. Physics

    An object with total mass mtotal = 15.8 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.5 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 27.6

  1. Physics Fluids

    When a crown of mass 14.7 kg is submerged in water, an accurate scale reads only 13.4 kg. Is the crown made of real gold? Ok How do I do this problem I set up my free body diagram Net Force = ma = 0= Ft + Fb - Fg were Ft is the

  2. Physics

    Two objects of different mass start from rest, are pulled by the same magnitude net force, and are moved through the same distance. The work done on object A is 500J. After the force pulled each object, object A moves twice as

  3. physics

    A satellite explodes in outer space, far from any other body, sending thousands of pieces in all directions. How does the linear momentum of the satellite before the explosion compare with the total linear momentum of all the

  4. science

    An object of mass 0.5kg is rotated in horizontal circle by a string of length 1m,the maximum tension in the string before it breaks is 50N.What is the greatest number of revolution per second of the object?

  1. Physics

    In a fireworks display a 3 kg body moving at 4 km/h due north explodes into three equal pieces: A, at 4 km/h east; B, at 5 km/h 37 degrees south of west; and C, at 15 km/h due north. After the explosion, what is the total momentum

  2. Science

    24. What does the thermal energy of an object depend upon? A. The temperature and arrangement of the particles in that object. B. The temperature, weight, and number of particles of that object. **** C. The heat of that object and

  3. Science

    Object E has a mass of 4,800 kilograms. Object F has a mass of 600 kilograms. Both objects were placed on different planets so that their weights are equal. The gravity acting on Object E is ________ times the gravity acting on

  4. Physics

    Need serious help!! 1. How can the momentum of a moving object be found? A. By multiplying its mass by its acceleration. B. By dividing its change in distance trabeled by the time it travels. C. By dividing its velocity bu the

You can view more similar questions or ask a new question.