4.A bullet (v = 60 m/sec,m = 50 gram) is fired into an iceblock (M=3 KG) resting on iceconsideredfrictionless. The bullet is imbedded in ice block and they move together on ice.a.Find the common velocity they move together.b.Find the initial kinetic energy of the system.c.Find the final kinetic energy of the system.d.Find the percent energy loss.

Question
Asked Oct 21, 2019
4.
A bullet (
v = 60 m/sec,
m = 50 gram) is fired into an ice
block (M=3 KG) resting on ice
considered
frictionless
. The bullet is imbedded in ice block and they move together on ice.
a.
Find the common velocity they move together.
b.
Find the initial kinetic energy of the system.
c.
Find the final kinetic energy of the sys
tem.
d.
Find the percent energy loss.
check_circleExpert Solution
Step 1

Given information:

Mass of the bullet (m) = 50 g = 0.05 kg

Velocity of the bullet (u­1) = 60 m/s

Mass of the ice (M) = 3 kg

Initial velocity of ice (u2) = 0 m/s

Final velocity of the system if the bullet is imbedded into the ice (v) =?

Step 2

Part a:

This is an inelastic collision, here only the momentum is conserved i.e.

Mu2 mu
(М + m)v
We get:
(0.05)x60
Миz+ти,
(М+т)
0.98 m/s
3.05
help_outline

Image Transcriptionclose

Mu2 mu (М + m)v We get: (0.05)x60 Миz+ти, (М+т) 0.98 m/s 3.05

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Step 3

Part b:

Initial kinetic ener...

Ми,
-ти,2 %3D0 + 3(0.05) (60?) — 90]
2
К.Е1
help_outline

Image Transcriptionclose

Ми, -ти,2 %3D0 + 3(0.05) (60?) — 90] 2 К.Е1

fullscreen

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