Question

A tank, at rest at the origin of an x-y coordinate system,
explodes into three pieces. Just after the explosion, one piece,
mass of m, moves with the speed v in the negative x- direction, and
a second piece, with mass m/2, moves with a speed v_{d} at
an angle of 30 degrees (down or -yaxis) with respect to the +x
axis. The third piece with mass m/2 moves with speed v_{u}
at an angle (up or +y axis) of 60 degrees with respect to the +x
axis.

A) What is the speed v_{d} of the second piece in terms
of v?

B) What is the speed of v_{u} of the third piece in
terms of v?

C) In terms of m and v, what is the total kinetic energy supplied to the pieces due to the explosion?

Answer #1

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
axis at 29 m/s. The second, with mass 12 g, 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) 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 ?

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 45m/s. One goes along the negative x-axis
and the other along the negative y-axis. The third piece has three
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?

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...

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...

Problem 9: A watermelon is blown
into three pieces by a large firecracker. Two pieces of equal mass
m fly away perpendicular to one another, one in the x
direction another in the y direction. Both of these pieces fly away
with a speed of V = 22 m/s. The third piece has three
times the mass of the other two pieces.
Randomized VariablesV = 22 m/s
33% Part (a) Write an expression for the speed
of the larger piece,...

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 vase of mass m falls onto a floor and breaks into
three pieces that then slide across the frictionless floor. One
piece of mass 0.25m moves at speed v along an x axis. The second
piece of the same mass and speed moves along the y axis. Find the
speed of the third piece

A 1.0kg bomb explodes into three pieces, A, B, and C. After the
explosion piece A (300g) travels along the positive x-axis with a
speed of 300m/s. Piece B (500g) travels along the negative y-axis
with a speed of 400m/s. Find the velocity of piece C.

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