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A .025 kg bullet is moving at 350 m/s when it hits and then passes through a 7 kg block of wood. After the bullet passes through the block the bullet slows to 60 m/s. What is the final velocity of the block of wood after the bullet passes through? (No mass is lost)

Respuesta :

Answer:

The final velocity of the wooden block is equal to [tex]1.035 m/s[/tex]

Explanation:

Given that mass of bullet = [tex]m_{b} = 0.025kg[/tex]

                Mass of wood = [tex]m_{w} = 7kg[/tex]

               Initial velocity of bullet = [tex]u_{b} = 350m/s[/tex]

              Final velocity of bullet = [tex]v_{b} = 60m/s[/tex]

               Initial velocity of wood = o

               Final velocity of wood = [tex]v_{w][/tex]

   Here momentum is conserved so initial momentum = final momentum

            [tex]m_{b}u_{b} = m_{b} v_{b} + m_{w}v_{w}[/tex] .

    Upon substituting these values in above equation , we get

        [tex]v_{w} = 1.035m/s[/tex].

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