A bullet with mass 5.00kg is fired horizontally into a 2.00 kgblock attached to

Question

A bullet with mass 5.00kg is fired horizontally into a 2.00 kgblock attached to a horizontal spring. The spring has a constant of6.00x10 ^2 N/m and reaches a maximum compression of 6.00 cm. (A) Find the inital speed of the bullet-block system (B) Find the speed of the bullet A bullet with mass 5.00kg is fired horizontally into a 2.00 kgblock attached to a horizontal spring. The spring has a constant of6.00x10 ^2 N/m and reaches a maximum compression of 6.00 cm. (A) Find the inital speed of the bullet-block system (B) Find the speed of the bullet

Explanation / Answer

This a heck of a heavy bullet of 5.0kg! maybe it is 5g or0.005kg The potential energy store in the spring Pes isequal to kinetic energy of the bullet-block system  Keb+b Pes = Ke b+b 0.5kx2=0.5(m1 + m2)V2 kx2=(m1 + m2)V2 V= [kx2/(m1 + m2)] V= [ 6.00 x10 2 x(0.060)2/(0.005 + 2.0)] V= 1.04 m/s b) For just the bullet we can assume that the energy isconseved Keb =Keb+b     0.5(m1 )Vb2=0.5(m1+ m2)V2 Vb= [ (m1 +m2)V2/ m1   ] Vb= [ (0.005 + 2.0)(1.04)2/ 0.005   ] Vb = 20.8m/s Vb= [ (0.005 + 2.0)(1.04)2/ 0.005   ] Vb = 20.8m/s

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