- #1

strugis

- 5

- 0

**1. The Problem: A bomb at rest explodes, breaking into three pieces. Two of the pieces hace equal mass and fly off at 80° of each other with a speed of 100m/s. The tird piece has three times the mass of the other pieces. What is the magnitude and the direction of the third piece?**

**2. Homework Equations**

potential energy equations for the x and y axis

is have

px: m0v0 = m1v1 +m2v2 +(3)m3v3

py: m0v0 = m1v1 +m2v2 +(3)m3v3

potential energy equations for the x and y axis

is have

px: m0v0 = m1v1 +m2v2 +(3)m3v3

py: m0v0 = m1v1 +m2v2 +(3)m3v3

**3. The Attempt at a Solution**

This is what i have so far, my confusion is that i was not given any direction and am not sure what i am suppose to put in for theta for m1 and m2 so that i can find v3 and theta3? thank you for any help in advance!

px: 0 = m1v1cos(theta) +m2v2cos(theta) +(3)m3v3cos(theta)

py: 0 = m1v1sin(theta) +m2v2sin(theta) +(3)m3v3sin(theta)

px: 0 = m1(100)cos(theta) + m2(100)cos(theta) +(3)m3v3cos(theta)

py: 0 = m1(100)sin(theta) + m2(100)sin(theta) +(3)m3v3sin(theta)

This is what i have so far, my confusion is that i was not given any direction and am not sure what i am suppose to put in for theta for m1 and m2 so that i can find v3 and theta3? thank you for any help in advance!

px: 0 = m1v1cos(theta) +m2v2cos(theta) +(3)m3v3cos(theta)

py: 0 = m1v1sin(theta) +m2v2sin(theta) +(3)m3v3sin(theta)

px: 0 = m1(100)cos(theta) + m2(100)cos(theta) +(3)m3v3cos(theta)

py: 0 = m1(100)sin(theta) + m2(100)sin(theta) +(3)m3v3sin(theta)