Question

An object with total mass mtotal = 15.5 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 = 22° above the –x axis
with a speed of v1 = 26.3 m/s. A second piece with mass m2 = 5.3 kg
moves down and to the right an angle of θ2 = 27° to the right of
the -y axis at a speed of v2 = 23.9 m/s

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

B)What is the mass of the third piece?

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

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

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

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

Answer #1

An object with total mass mtotal = 16.4 kg is sitting
at rest when it explodes into three pieces. One piece with mass
m1 = 4.7 kg moves up and to the left at an angle of
θ1 = 18° above the –x axis with a speed of v1
= 26.1 m/s. A second piece with mass m2 = 5.2 kg moves
down and to the right an angle of θ2 = 23° to the right
of the -y axis...

An object with total mass mtotal = 17.4 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 θ1 = 21° above the –x axis
with a speed of v1 = 25.9 m/s. A second piece with mass m2 = 5.1 kg
moves down and to the right an angle of θ2 = 26° to the right of
the -y axis...

An object with total mass mtotal = 16.4 kg is sitting at rest
when it explodes into three pieces. One piece with mass m1 = 4.7 kg
moves up and to the left at an angle of θ1 = 18° above the –x axis
with a speed of v1 = 26 m/s. A second piece with mass m2 = 5.2 kg
moves down and to the right an angle of θ2 = 23° to the right of
the -y axis...

A vessel at rest explodes, breaking into three pieces.
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times the mass of each other piece.
What are the direction and magnitude of its velocity immediately
after the explosion?
1)What is the angle with respect to the x-axis?
2)What is the magnitude of its velocity?

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a second piece, with mass m/2, moves with a speed vd at
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magnitude of the velocity of the third piece ? c) What angle does
the third piece make with x axis ?
Please show work.

A 42-g firecracker is at rest at the origin when it explodes
into three pieces. The first, with mass 21 g, moves along the x
axls at 29 m/s . The second, with mass 12 , moves along they axis
at 35 m/s . a) What is the mass of third plece ? b) What is the
magnitude of the velocity of the third piece? c) Whal angle does
the third plece make with x axis ?

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest
at the origin of a coordinate system, disintegrates into three
particles. One particle, having a mass of
m1 = 2.6 ✕ 10−27 kg,
moves in the positive y-direction with speed
v1 = 5.4 ✕ 106 m/s.
Another particle, of mass
m2 = 8.0 ✕ 10−27 kg,
moves in the positive x-direction with speed
v2 = 3.4 ✕ 106 m/s.
Find the magnitude and direction of the velocity of...

A billiard ball of mass m = 0.25 kg strikes the cushion of a
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An unstable nucleus of mass 2.1 ? 10?26 kg, initially
at rest at the origin of a coordinate system, disintegrates into
three particles. One particle, having a mass of
m1 = 4.6 ? 10?27 kg, moves in the
positive y-direction with speed v1 =
6.1 ? 106 m/s. Another particle, of mass
m2 = 8.5 ? 10?27 kg, moves in the
positive x-direction with speed v2 =
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