Posted by Ron on Monday, January 6, 2014 at 5:46pm.
A bullet (m = 0.0250 kg) is fired with a speed of 92.00 m/s and hits a block (M = 2.50 kg) supported by two light strings as shown, stopping quickly. Find the height to which the block rises.
Find the angle (in degrees) through which the block rises, if the strings are 0.540 m in length.

Physics  Damon, Monday, January 6, 2014 at 6:26pm
At collision use conservation of momentum
Mbullet Vi bullet = (Mbullet+MBlock)V
solve for V, the speed of the block with the bullet in it
calculate kinetic energy
(1/2) m v^2
that becomes potential energy when the block stops
m g h
so
v^2 = 2 g h
solve for h
now get angle
hypotenuse is L, length of string
T = string angle from vertical
cos T = (Lh)/L
solve for T
by the way you can approximate cosine for small angles
Cos T = 1  T^2/2
1  T^2/2 = 1  h/L
T^2 = 2 h/L
T = sqrt(2 h/L)
note T will be in RADIANS if you do that
Answer This Question
Related Questions
 Physics  A bullet (m = 0.0250 kg) is fired with a speed of 94.00 m/s and hits ...
 Physics  a) A bullet (m = 0.0250 kg) is fired with a speed of 91.00 m/s and ...
 physics  A bullet (m = 0.0250 kg) is fired with a speed of 91.00 m/s and hits a...
 physics  A bullet (m = 0.0290 kg) is fired with a speed of 94.00 m/s and hits a...
 PHYSICS HELP!!!!!  A 7.0 g bullet is fired horizontally into a 1.5 kg block of ...
 physics  A 12.0 g bullet is fired into a 13.9kg wooden block that is hanging ...
 physics  A bullet of mass m= 0.0290 kg is fired along an incline and imbeds ...
 Physics  A bullet of mass m= 2.50×102kg is fired along an incline and imbeds ...
 physics  A heavy wooden block rests on a flat table and a highspeed bullet is...
 physics  A heavy wooden block rests on a flat table and a highspeed bullet is ...
More Related Questions