Question

A pistol fires a 0.0050-kg bullet with a muzzle velocity of 1000.0 m/s. The bullet then strikes a 10.0-kg wooden block resting on a horizontal frictionless surface and becomes embedded in the block. The block and bullet then slide across the surface. What was work done on the block and the impulse delivered to the bullet during the collision?

a. 250J, 12.5N-s

b. 12J, 12.5N-s

c. 1.2J and -5.0N-s

d. 0.15J, -2.5N-s

e. 38J, 7.5N-s

please show work will rate!!

Answer #1

as there is no external force, the linear momentum is conserved.

hence momentum before collision=momentum after collision

if speed after the bullet striked the block is v m/s,

then 0.005*1000+10*0=(0.005+10)*v

==v=0.49975 m/s

then impuse delived to the bullet=change in momentum

=mass*(final velocity-initial velocity)

=0.005*(0.49975-1000)=-4.9975 N.s

then work done on the block=gain in kinetic energy of the block

=0.5*mass*(final speed^2-initial speed^2)

=0.5*10*(0.49975^2-0^2)=1.24875 J

hence option c is correct.

A 100-g bullet is fired horizontally into a 14.9-kg block of
wood resting on a horizontal frictionless surface, and the bullet
becomes embedded in the block. If the muzzle speed of the bullet is
250. m/s, a) what is the speed of the block immediately after the
impact? b) what is the average force acting on the block during
that 8.50 ms collision?

A 58 gram bullet with a horizontal velocity of 240 m/s hits a
1.3 kg block of wood attached to a massless spring with spring
constant 340 N/m. The bullet is embedded in the block and the block
is resting on a frictionless horizontal surface. How far does the
spring compress?

A bullet of mass 4.00 g travelling at 250 m/s embeds into a
wooden block of mass 2.32 kg resting on a horizontal surface. The
coefficient of kinetic friction between block and surface is 0.220.
The bullet remains embedded in the block slides along the surface
before stopping. What distance does the block slide before coming
to rest?

Agent Arlene devised the following method of measuring the
muzzle velocity of a rifle (the figure below). She fires a bullet
into a 4.032-kg wooden block resting on a smooth surface, and
attached to a spring of spring constant k = 160.2 N/m . The bullet,
whose mass is 7.870 g, remains embedded in the wooden block. She
measures the maximum distance that the block compresses the spring
to be 9.460 cm .
What is the speed v of the...

gent Arlene devised the following method of measuring the muzzle
velocity of a rifle (the figure below). She fires a bullet into a
4.076-kgkg wooden block resting on a smooth surface, and attached
to a spring of spring constant kkk = 164.8 N/mN/m . The bullet,
whose mass is 7.870 gg, remains embedded in the wooden block. She
measures the maximum distance that the block compresses the spring
to be 9.460 cmcm .
(Figure 1)
What is the speed vv...

A 0.0200 kg bullet moving horizontally at 400 m/s embeds itself
into an initially stationary 0.500 kg block.
(a) What is their velocity just after the collision? m/s
(b) The bullet-embedded block slides 8.0 m on a horizontal
surface with a 0.30 kinetic coefficient of friction. Now what is
its velocity? m/s
(c) The bullet-embedded block now strikes and sticks to a
stationary 2.00 kg block. How far does this combination travel
before stopping? m

A 0.0220 kg bullet moving horizontally at 400 m/s embeds itself
into an initially stationary 0.500 kg block.
(a) What is their velocity just after the collision? m/s
(b) The bullet-embedded block slides 8.0 m on a horizontal
surface with a 0.30 kinetic coefficient of friction. Now what is
its velocity? m/s
(c) The bullet-embedded block now strikes and sticks to a
stationary 2.00 kg block. How far does this combination travel
before stopping? m

A bullet of mass 6.00 g is fired horizontally into a wooden
block of mass 1.29 kg resting on a horizontal surface. The
coefficient of kinetic friction between block and surface is 0.210.
The bullet remains embedded in the block, which is observed to
slide a distance 0.290 m along the surface before stopping.
What was the initial speed of the bullet?

A 0.0392-kg bullet is fired horizontally into a 2.04-kg wooden
block attached to one end of a massless, horizontal spring
(k = 838 N/m). The other end of the spring is fixed in
place, and the spring is unstrained initially. The block rests on a
horizontal, frictionless surface. The bullet strikes the block
perpendicularly and quickly comes to a halt within it. As a result
of this completely inelastic collision, the spring is compressed
along its axis and causes the...

A 9.05- g bullet from a 9-mm pistol has a velocity of 353.0 m/s.
It strikes the 0.625- kg block of a ballistic pendulum and passes
completely through the block. If the block rises through a distance
h = 23.49 cm, what was the velocity of the bullet as it emerged
from the block?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 32 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago