# physics

posted by .

A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular to each other, at 21m/s . The third piece has twice the mass as the other two.

What is the speed of the third piece?

What is the direction of the third piece?

• physics -

I would use conservation of momentum in the S and west direction.

S direction
M*21S+2M*v S=0

so v in the South direction is -10.5
so the same in th eEast direction
v in the East Direction

V=-10.5 E

angle= arctan 10.5/10.5 or NE at velocity 10.5*sqrt2

## Similar Questions

1. ### physics

An object at rest explodes into three pieces of equal mass.One moves east at 20.0 m/s,a second moves southeast at 30.0 m/s. What is the velocity of the third piece?
2. ### Physics

A vessel at rest explodes breaking into three pieces. Two pieces, having equal mass fly off perpendicular to one another with the same speed of 30 m/s. The third piece had three times the mass of each other piece. What are the magnitude …
3. ### algebra

a piece of wire that is 58cm long is cut into three pieces. the longest piece is 6cm shorter than the sum of the lengths of the other two pieces. five times the lengths of the shortest piece is 10cm less than the sum of the lengths …
4. ### Physics

Explosives are used to blow a rock apart. The explosion blows the rock into three fragments. Two fragments go off at a 76 degree angle to each other--a 6.2 kg piece at 26.7 m/s and a 5.5 kg piece at 23.3 m/s. Calculate the speed of …
5. ### physics

A 2.40 kg firecracker explodes into two pieces and produces 170 J of heat, light, and sound energy. One of the pieces has a mass of 0.800 kg and a speed of 4.50 m/s after the explosion. If the mass of the other piece is 1.20 kg, what …
6. ### physics

A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular to each other, at 25 m/s. The third piece has twice the mass as the other two. 1. What is the speed of the …
7. ### science

If mass M explore into three pieces two of equal to M/4 move perpendicular to each other with 3m/s 4m/s determined velocity of third
8. ### 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 the …
9. ### 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 the …
10. ### physics

A firework whose mass is 7kg is launched vertically up into the air. After it reaches its the height of 160m, it blasts and splits into two pieces; pieces A and B. The two pieces fly off and travel horizontally. The blasts of the fireworks …

More Similar Questions