Question

Conservation of mechanical energy after collision After the collision, the block with the embedded bullet swings upward to a maximum height h above its original position. It now becomes necessary to use the conservation of mechanical energy to complete the analysis of the motion of the block with the embedded bullet (henceforth we may refer to the combination simply as the block). Question 4: What is the combined kinetic energy KE1 of the bullet and the block before collision (situation 1 in figure)? Mechanical energy in this case is the sum of kinetic energy and gravitational potential energy. We will take the lowest position of the block as the level as our reference height of h=0. So the h in the table will indicate the actual value of the maximum height attained by the block. Question 5: What is the potential energy PE2 of the block with the embedded bullet right after collision (situation 2 in figure)? Question 6: What is the kinetic energy KE3 of the block with the embedded bullet at maximum height (situation 3 in figure)? Question 7: Write down an expression of the total mechanical energy E2 = KE2 + PE2 right after collision in terms of mb, mw, v. Question 8: Write down an expression of the total mechanical energy E3 = KE3 + PE3 the maximum height in terms of mb, mw, h and the gravitational acceleration g. Question 9: Use the conservation of mechanical energy E2 = E3 to write an equation, and then simplify it to get an expression for h in terms of g and v.

Conservation of mechanical energy after collision

After the collision, the block with the embedded bullet swings upward to a maximum height h above its original position. It now becomes necessary to use the conservation of mechanical energy to complete the analysis of the motion of the block with the embedded bullet (henceforth we may refer to the combination simply as the block).

Question 4: What is the combined kinetic energy KE1 of the bullet and the block before collision (situation 1 in figure)?

Mechanical energy in this case is the sum of kinetic energy and gravitational potential energy. We will take the lowest position of the block as the level as our reference height of h=0. So the h in the table will indicate the actual value of the maximum height attained by the block.

Question 5: What is the potential energy PE2 of the block with the embedded bullet right after collision (situation 2 in figure)?

Question 6: What is the kinetic energy KE3 of the block with the embedded bullet at maximum height (situation 3 in figure)?

Question 7: Write down an expression of the total mechanical energy E2 = KE2 + PE2 right after collision in terms of mb, mw, v.

Question 8: Write down an expression of the total mechanical energy E3 = KE3 + PE3 the maximum height in terms of mb, mw, h and the gravitational acceleration g.

Question 9: Use the conservation of mechanical energy E2 = E3 to write an equation, and then simplify it to get an expression for h in terms of g and v.

Conservation of mechanical energy after collision

After the collision, the block with the embedded bullet swings upward to a maximum height h above its original position. It now becomes necessary to use the conservation of mechanical energy to complete the analysis of the motion of the block with the embedded bullet (henceforth we may refer to the combination simply as the block).

Question 4: What is the combined kinetic energy KE1 of the bullet and the block before collision (situation 1 in figure)?

Mechanical energy in this case is the sum of kinetic energy and gravitational potential energy. We will take the lowest position of the block as the level as our reference height of h=0. So the h in the table will indicate the actual value of the maximum height attained by the block.

Question 5: What is the potential energy PE2 of the block with the embedded bullet right after collision (situation 2 in figure)?

Question 6: What is the kinetic energy KE3 of the block with the embedded bullet at maximum height (situation 3 in figure)?

Question 7: Write down an expression of the total mechanical energy E2 = KE2 + PE2 right after collision in terms of mb, mw, v.

Question 8: Write down an expression of the total mechanical energy E3 = KE3 + PE3 the maximum height in terms of mb, mw, h and the gravitational acceleration g.

Question 9: Use the conservation of mechanical energy E2 = E3 to write an equation, and then simplify it to get an expression for h in terms of g and v.

Added by Rachel R.

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