Bullet hitting a door problem

  • Thread starter sp3sp2sp
  • Start date
  • #1
sp3sp2sp
100
4

Homework Statement



A 10 g bullet traveling at 370 m/s strikes a 8.0 kg , 0.80-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open.
What is the angular velocity of the door just after impact?
Express your answer to two significant figures and include the appropriate units.

Homework Equations


use conservation of momentum for slab about edge: linear momentum = angular momentum
mv = Iw
I = (1/3)ML^2 (for a slab)
w = (3mv) / (ML^2)
(w = omega)

3. The Attempt at a Solution

w = (3mv) / (ML^2)

w = (3* 0.01kg * 370m/s) / (8.0kg * 0.80kg^2)
w = 2.167 = 2.2 rad/s
= wrong

cant see what I am doing wrong, thanks for any help
 

Answers and Replies

  • #2
Doc Al
Mentor
45,481
1,978
use conservation of momentum for slab about edge: linear momentum = angular momentum
o_O

Linear momentum and angular momentum are different quantities with different units. They cannot be set equal. In this case, only one of those is conserved.

Hint: Use conservation of angular momentum. (What's the angular momentum of the bullet just before impact?)
 
  • #3
sp3sp2sp
100
4
bullet doesn't have any angular momentum before impact So Iw = 0?
 

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