An object with total mass m total = 15.1 kg is sitting at rest when it explodes

Question

An object with total mass mtotal = 15.1 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.9 kg moves up and to the left at an angle of ?1 = 18 above the x axis with a speed of v1 = 28.9 m/s. A second piece with mass m2 = 5.2 kg moves down and to the right an angle of ?2 = 23 to the right of the -y axis at a speed of v2 = 22.1 m/s.

1)

What is the magnitude of the final momentum of the system (all three pieces)?

kg-m/s  

2)

What is the mass of the third piece?

kg  

3)

What is the x-component of the velocity of the third piece?

m/s  

4)

What is the y-component of the velocity of the third piece?

m/s

5)

What is the magnitude of the velocity of the center of mass of the pieces after the collision?

m/s

6)

Calculate the increase in kinetic energy of the pieces during the explosion.

J

An object with total mass mtotal = 15.1 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.9 kg moves up and to the left at an angle of ?1 = 18½ above the ½x axis with a speed of v1 = 28.9 m/s. A second piece with mass m2 = 5.2 kg moves down and to the right an angle of ?2 = 23½ to the right of the -y axis at a speed of v2 = 22.1 m/s. 1) What is the magnitude of the final momentum of the system (all three pieces)? kg-m/s 2) What is the mass of the third piece? kg 3) What is the x-component of the velocity of the third piece? m/s 4) What is the y-component of the velocity of the third piece? m/s 5) What is the magnitude of the velocity of the center of mass of the pieces after the collision? m/s 6) Calculate the increase in kinetic energy of the pieces during the explosion. J

Explanation / Answer

1) 0. ("An object... is sitting at rest...)
2) m3 = 15.1kg - 4.9kg - 5.2kg = 5 kg
3) x-momentum:
0 = 4.9kg * 28.9m/s * cos(162

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