physics

posted by .

A 4.7 g bullet is fired horizontally into a 0.50 kg block of wood resting on a frictionless table. The block, which is attached to a horizontal spring, retains the bullet and moves forward, compressing the spring. The block-spring system goes into SHM with a frequency of 8.0 Hz and an amplitude of 15 cm. Determine the initial speed of the bullet. (answer should be in m/s)

  • physics -

    k=M•ω²=M•(2•π•f)²=0.5(2•π•8)² = 1263.3 N/m
    (m+M)•u²/2=k•x²/2

    u=x•sqrt(k/(m+M)= 0.15•sqrt(1263.3/0.5047) =7.5 m/s.
    m•v=(m+M)•u,
    v=(m+M)•u/m =0.5047•7.5/0.0047=805.7 m/s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. 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 …
  3. 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 …
  4. 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 …
  5. 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 …
  6. 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 …
  7. physics

    An 8 g bullet is shot into a 4.0 kg block, at rest on a frictionless horizontal surface. The bullet remains lodged in the block. The block moves into a spring and compresses it by 7.9 cm. The force constant of the spring is 1400 N/m. …
  8. physics

    A 10.0-g bullet is fired horizontally into a 101-g 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 …
  9. Physics

    A 11.0-g bullet is fired horizontally into a 101-g 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 …
  10. physics

    A 13.1-g 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 …

More Similar Questions