A bullet is fired toward a block of wood (m1 = 1.17 kg) sitting on a frictionless surface. The bullet has a mass mb = 30 g, and its initial velocity is 320 m/s in the +x-direction. The bullet embeds itself inside the block of wood. Then the block of wood (with bullet) collides with another block of wood (m2 = 1.20 kg). The collision is elastic. The first block moves off at an angle of -45o with respect to +x, while the second block moves off at an angle of +30o with respect to +x.
a) Write down the momentum equation for the bullet-block collision (using the variables mb for mass of bullet, m1 for the mass of the block of wood, vo for the initial velocity of the bullet, and vpc for the post collision velocity of the bullet-block combo.) DO NOT FILL IN THE NUMBERS – just write out the algebraic equation.
b) Find the post collision velocity of the first block of wood + bullet right after the collision.
c) Write down the momentum equation for the bullet-block combo collision with the second block, again using the variables listed in part a, as well as using m2 for the mass of block 2, vf1 as the final velocity of block 1 (+bullet), and vf2 as the final velocity of block 2. AGAIN DO NOT FILL IN THE NUMBERS – just write out the algebraic equation.
d) Find the final velocity of block 1 (+bullet), remembering to express it as a number and the angle.
e) Find the final velocity of block 2, remembering to express it as a number and the angle.
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