physics
posted by shawn .
A 5 g bullet is fired into a 2 kg wooden block attached to a spring with a force constant of 20 N/m. It lodges in the block, and the block and bullet compress the spring until they come to a rest. If the bullet was moving at 1000 m/s just before the collision, how far is the spring compressed when the bullet and block stop?

physics 
Elena
m1•v =(m1+m2)u,
u=m1•v/(m1+m2).
(m1+m2)u²/2=kx²/2,
x=u•sqrt[(m1+m2)/k}=
= m1•v•sqrt[(m1+m2)/k}/(m1+m2)=
=m1•v/sqrt[k•(m1+m2)]=
=0.005•1000/sqrt[20(2+0.005)]=3.53 m.
Respond to this Question
Similar Questions

Physics HELP!
A 20.0 g bullet is fired horizontally into a 85 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 156 N/m. The bullet becomes embedded in the block. The bullet … 
Physics Elena please help!
A 20.0 g bullet is fired horizontally into a 85 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 156 N/m. The bullet becomes embedded in the block. The bullet … 
Physics Elena please help!
A 20.0 g bullet is fired horizontally into a 85 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 156 N/m. The bullet becomes embedded in the block. The bullet … 
physics
A 16.0 g bullet is fired horizontally into a 87 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 168 N/m. The bullet becomes embedded in the block. The bullet … 
p
A 16.0 g bullet is fired horizontally into a 87 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 168 N/m. The bullet becomes embedded in the block. The bullet … 
physics
A 16.0 g bullet is fired horizontally into a 87 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 168 N/m. The bullet becomes embedded in the block. The bullet … 
physics
A 10.0g bullet is fired horizontally into a 101g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 155 N/m. The bullet becomes embedded in the block. If the … 
Physics
A 11.0g bullet is fired horizontally into a 101g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 160 N/m. The bullet becomes embedded in the block. If the … 
Physics
A bullet is fired into a block of wood with speed 250 m/s. The block is attached to a spring that has a spring of 200 N/m. The block embedded bullet compresses the spring a distance of 30.0 cm to the right. Determine the mass of the … 
physics
A 13.1g bullet is fired into a block of wood at 261 m/s. The block is attached to a spring that has a spring constant of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily …