Question

A 4-kg projectile travels with a horizontal velocity of 600 m/s
before it explodes and breaks into two fragments A and B of mass
1.5 kg and 2.5 kg, respectively. If the fragments travel along the
parabolic trajectories shown, determine the magnitude of velocity
of each fragment just after the explosion and the horizontal
distance where segment B strikes the ground at D.

Answer #1

A 204-kg projectile, fired with a speed of 131 m/sat a 65.0
∘ angle, breaks into three pieces of equal mass at the
highest point of its arc (where its velocity is horizontal). Two of
the fragments move with the same speed right after the explosion as
the entire projectile had just before the explosion; one of these
moves vertically downward and the other horizontally.
A. Determine the magnitude of the velocity of the third fragment
immediately after the explosion.
B....

A 1400 kg weather rocket accelerates upward at 10m/s2. It
explodes 1.5 s after liftoff and breaks into two fragments, one
twice as massive as the other. Photos reveal that the lighter
fragment traveled straight up and reached a maximum height of 500 m
.
What was the speed of the heavier fragment just after the
explosion?
Express your answer using two significant figures.

1460 kg weather rocket accelerates upward at 12 m/s2. It
explodes 2.0 s after liftoff and breaks into two fragments, one
twice as massive as the other. Photos reveal that the lighter
fragment traveled straight up and reached a maximum height of 530
m. What were the speed and direction of the heavier fragment just
after the explosion?

A 4.0 kg projectile is launched into the air with an initial
velocity of 15 m/s at an angle of 30° above the horizontal. When
the projectile reaches its maximum height it explodes, splitting in
two parts, one of mass 3.0 kg and one of mass 1.0 kg. Assume the
explosion was essentially instantaneous.
Determine the maximum height of the projectile using energy.
After the explosion, if the 1.0 kg mass is moving at 1/2 the
speed it was right...

A projectile is launched on a planet other than Earth at a
velocity of 36.4 m/s 30.0o above the horizontal. The ground slopes
down in the direction of travel, so the projectile impacts the
ground 37.7 m below the level from which it was launched. If the
horizontal distance it travels is 337 m, what is the magnitude of
the acceleration of gravity near the surface of the alien
planet?

A 14-kg shell is fired from a gun with a muzzle velocity 100 m/s
at 42o above the horizontal. At the top of the trajectory, the
shell explodes into two fragments of equal mass. One fragment,
whose speed immediately after the explosion is zero, falls
vertically. Calculate the range of the other fragment, assuming
level terrain.

A 32-kg shell is fired from a gun with a muzzle velocity 80 m/s
at 50o above the horizontal. At the top of the
trajectory, the shell explodes into two fragments of equal mass.
One fragment, whose speed immediately after the explosion is zero,
falls vertically. Calculate the range of the other fragment,
assuming level terrain.

4. An air plane flies horizontally with
X-velocity V0x= 360 m/s at
an altitude (height above the ground)=H=Dy= 3645
m. A bag of mass M=40 Kg falls off from
the plane, and moves to the ground in a parabolic path without air
resistance while the plane ciontinues to fly horizontally. Use
g=10 m/s2 and V0Y=0
Part A
The time the bag takes to hit the ground is t=____
seconds
The time the bag takes to hit the ground is t=____...

As shown in Figure 1, a block (mass: 2.4 kg) is initially at
rest near the top of an inclined plane, oriented at a 25° angle
above the horizontal. The coefficients of static and kinetic
friction along the incline are 0.2 and 0.1, respectively.
(a) Just after the block is released from rest, draw a free-body
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released from rest.)
(b) Determine the magnitude of the normal force acting on...

A jet accelerates at a=3.92 m/s^2 from rest until it reaches its
takeoff velocity of 360 km/hr. It has to travel for 5 seconds at
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that the jet will travel on the runway?
A car backs up at a constant speed for a short time, then
applies the brakes and steadily comes to rest. Sketch velocity-time
and position-time graphs that depict the car's motion. Assume that
the forward direction is...

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