In: Physics

A bomb at rest at the origin of an xy-coordinate system explodes into three pieces. Just after the explosion, one piece, of mass 4 kg, moves with a velocity of 45 m/s in the negative x-direction, and a second piece, also of mass 4 kg, moves with a velocity of 36 m/s in the negative y-direction. The third piece has a mass of 7 kg.

What is the initial momentum of the bomb before the explosion?

What is the x-component of the velocity of the third piece just after the explosion?

What is the y-component of the velocity of the third piece just after the explosion?

What is the magnitude of the velocity of the third piece?

Just after the explosion, in what direction is the third piece moving? (Give your answer as an angle measured clockwise from the positive x-axis.)

here ,

initial momentum of system = m * 0

initial momentum of system = 0 kg.m/s

-----------------------------------------------------

as there is no external force on the bomb

using conservation of momentum in x - direction

4 * ( -45 ) + 7 * Vx = 0

Vx = 25.7 m/s

the x-component of the velocity of the third piece just after the explosion is 25.7 m/s

-------------------------------------------------

for the conservation of momentum in y - direction

4 * (-36) + 7 * Vy = 0

Vy = 20.6 m/s

the y-component of the velocity of the third piece just after the explosion is 20.6 m/s

---------------------------------------------------

magnitude of velocity = sqrt(vx^2 + vy^2)

magnitude of velocity = sqrt(20.6^2 + 25.7^2)

magnitude of velocity = 32.94 m/s

---------------------------------------

theta = arctan(vy/vx)

theta = arctan(20.6/25.7)

theta = 38.7 degree

the angle of velocity of third piece is 38.7 degree

qt9.5
A vessel at rest at the origin of an xy coordinate
system explodes into three pieces. Just after the explosion, one
piece, of mass m, moves with velocity (-22 m/s) î and a
second piece, also of mass m, moves with velocity (-22
m/s) ĵ. The third piece has mass 3m. Just after the
explosion, what are the (a) magnitude and
(b) direction (as an angle relative to the
+x axis) of the velocity of the third piece?

A small particle starts from rest from the origin of an
xy-coordinate system and travels in the xy-plane. Its acceleration
in the x-direction is 2m/s^2, and its acceleration in the
y-direction is 1m/s^2. What is the x-coordinate of the particle
when the y-coordinate is 12m?

An 150 kg object at rest explodes into three pieces. If one of
the pieces is traveling at 15 m/s, another piece is traveling at 20
m/s 135° from the first piece, and the third piece is traveling 10
m/s at 225° from the first piece, what is the mass of the three
pieces.

A
charge of -3.30nC is placed at the origin of an xy-coordinate
system, and a charge of 2.5nC is placed on the axis at y=3.55cm.
a) If a third charge, of 5 nC, is now placed at the point
x=3.05cm, y=3.55cm find the x and y conponents of the total force
exerted on this charge by the other two charges.
b) Find the magnitude of this force
c) Find the direction of this forces.

A charge q1 = 5.00nC is placed at the origin of an xy-coordinate
system, and a charge q2 = -4.50nC is placed on the positive x axis
at x= 4.00cm .
A) If a third charge
q3
= 5.00nC is now placed at the point x= 4.00cm
, y= 3.00cm find the x and
ycomponents of the total force exerted on this
charge by the other two charges.
B) Find the magnitude and direction of this force.

A charge of -2.95 nC is placed at the origin of an xy-coordinate
system, and a charge of 2.20 nC is placed on the y axis at y = 3.85
cm .
Part A
If a third charge, of 5.00 nC , is now placed at the point
x = 3.40 cm , y = 3.85 cm find the x and
ycomponents of the total force exerted on this charge by
the other two charges.
Express answers numerically separated by...

A charge of -2.90 nC is placed at the origin of an xy-coordinate
system, and a charge of 1.80 nC is placed on the y axis at y = 3.75
cm .
A) If a third charge, of 5.00 nC , is now placed at the point x
= 3.50 cm , y = 3.75 cmcm find the xx and y components of the total
force exerted on this charge by the other two charges.
Fx, Fy= ______ N
B)...

A charge of -4.00 nC is placed at the origin of an xy coordinate
system, and a charge of 3.00 nC is placed on the y-axis at y=4.00
cm. A third charge of 5.00 nC is now placed at the point x=-3.00,
y=0.00 cm.
Find the x and y components of the total force exerted on the
third charge by the other two charges.
Find the magnitude and direction of the force.

A charge of -3.00 nC is placed at the origin of an
xy-coordinate system, and a charge of 2.25 nC is placed on
the y axis at y = 3.60 cm .
PART A -
If a third charge, of 5.00 nC , is now placed at the point x =
3.50 cm , y = 3.60 cm find the x and y components of the total
force exerted on this charge by the other two charges.
PART B-
Find...

A charge of -3.50 nCnC is placed at the origin of an
xy-coordinate system, and a charge of 1.90 nCnC is placed
on the yy axis at yy = 3.65 cmcm .
Part A: If a third charge, of 5.00 nCnC , is now placed at the
point xx = 2.75 cmcm , yy = 3.65 cmcm find the xx and yy components
of the total force exerted on this charge by the other two
charges.
Part B: Find the...

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