Posted by jillian on Monday, March 29, 2010 at 5:00pm.
A 1.00kg duck is flying overhead at 1.50 m/s when a hunter fires straight up. The 0.010 0kg bullet is moving 100 m/s when it hits the duck and stays lodged in the duck's body. What is the speed of the duck and bullet immediately after the hit?

physics  Lee, Thursday, March 28, 2013 at 1:50am
m1= 1kg
v1= 1.50 m/s
=====
m2= 0.010kg
v2= 100m/s
=====
m1*v1= 1kg*1.50kg= 1.50kgm/s
m2*v2= 0.010kg*100m/s= 1.0kgm/s
=====
mTotal= 1.010kg
Since the bullet is shot in a vertical movement, and the duck was flying horizontally, then we can use Pythagorean to solve for the final velocity(vF).
=====
Velocity in the xcomponent(vx)
> (mT)(vx)= momentum of duck.
> (1.010kg((vx)= 1.50kgm/s
> (vx)= (1.50kgm/s)/(1.010kgm/s)
> (vx)= 1.485m/s
....
Velocity in the ycomponent (vy)
> (mT)(vy)= 1.0kgm/s
> (1.010kg)(vy)= (1.0kgm/s)
> (vy)= (1.0kgm/s)/(1.010kgm/s)
> (vy)= (0.99009m/s)
=====
*Now we can use Pythagorean to solve for the final velocity!
> a^2 + b^2 = c^2
> (1.485m/s)^2 + (0.99009m/s)^2 = c^2
> 2.2055m/s + 0.9818m/s = c^2
> 3.1871m/s = c^2
> c = √(3.1871m/s)
> c = 1.785 m/s!
* Your final velocity is 1.785m/s!
Answer This Question
Related Questions
 physics  A duck flies south at a constant speed of 20 m/s. A man stands 30 ...
 probability  Two hunters shoot at the same duck. The probability of the first ...
 physics  A duck is swimming across a river. The duck can swim at maximum speed ...
 physics  a duck is swimming across a river.The duck can swim at maximum speed ...
 Physics  swimming duck paddles the water with it's feet once every 1.6s, ...
 physics  while standing on an open truck moving at a velocity of 35m/s, a man ...
 Basic Physics  While standing on an open bed of a truck moving at 35 m/s, and ...
 science  India : Duck Australia : Duck South Africa : Duck, Goose Africa : ...
 Science help  India : Duck Australia : Duck South Africa : Duck, Goose Africa...
 physics  A duck is floating on water with 26% of its total volume submerged ...
More Related Questions