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A 0.0280 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??

Question

A 0.0280 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??

check_circleAnswer
Step 1

Given:

Mass of the bullet = 0.0280 kg

Speed of the bullet = 400 m/s

Step 2

(a) Calculating the final velocity of the bullet-embedded block just after collision:

aus o the buUıt, m, = o 028o I
bullit, u,
initial
yoom/s
the block m2o.5 Kg
Mars
initial
bullit, (o.02 80 kg) x(400m/s)
=12 Kgm/s
Initial momeutum
Initial momeutum
Asthe bullt embeds itsel wto block,
Anal nomeutum
bullet- block nystem, P = (0.0280+0-5)v-
(uhene i the Anal
ff (o.528)
v the ytem)
welocidy of
to momeutu Lonren vation,
Acsoroling
So, o.528)v- l'2 Kgm/s
V: 21.2 m/ S
help_outline

Image Transcriptionclose

aus o the buUıt, m, = o 028o I bullit, u, initial yoom/s the block m2o.5 Kg Mars initial bullit, (o.02 80 kg) x(400m/s) =12 Kgm/s Initial momeutum Initial momeutum Asthe bullt embeds itsel wto block, Anal nomeutum bullet- block nystem, P = (0.0280+0-5)v- (uhene i the Anal ff (o.528) v the ytem) welocidy of to momeutu Lonren vation, Acsoroling So, o.528)v- l'2 Kgm/s V: 21.2 m/ S

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Step 3

(b) Calculating the velocity of the bullet-e...

bullit embedded block= 21 2 m/s
elecity
Initial ve
Distance trauellud, s = a m
- Cugmg)
A cceleration
m
Kinetic fricTion) falK= 0305
cicieutf
- 2.94 m/s2
40, acceleration, a
- (0'30) (9.0)
loilty apter
Uing rde o motion, v as
Let's arsume , inal ve
+QaS
2'44 m/s 8m,
Substitute, us 21 2 m/s, a-
(21 22-2.4u) ( 0 )
4 04
449 u4
402.4
11
| - २० m/5
help_outline

Image Transcriptionclose

bullit embedded block= 21 2 m/s elecity Initial ve Distance trauellud, s = a m - Cugmg) A cceleration m Kinetic fricTion) falK= 0305 cicieutf - 2.94 m/s2 40, acceleration, a - (0'30) (9.0) loilty apter Uing rde o motion, v as Let's arsume , inal ve +QaS 2'44 m/s 8m, Substitute, us 21 2 m/s, a- (21 22-2.4u) ( 0 ) 4 04 449 u4 402.4 11 | - २० m/5

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Physics

Collisions

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