Show your work according to the methods presented in the problem-solving guides for momentum and energy.

Before attempting the problems below, study the guide to Solving Problems with both Momentum and Energy Conservation.

For the problems assigned you in the table below, prepare formal 2-part solutions according to method shown in the guide above.

1. Open this applet, read the description, and run the animation. Solve the problem for the initial velocity v₀ of the bullet in terms of g and these symbols: 

m₁ = mass of bullet
m₂ = mass of block
d = distance the block slides
μ_k = coefficient of kinetic friction

Define any other symbols you use. As a final step, substitute values given in the applet and determine the numerical value of the initial velocity of the bullet.

2. Open this applet, read the description, and run the animation. Solve the problem for the velocity v_f of the bullet after passing through the block. Give your result in terms of g and these symbols: 

m₁ = mass of bullet
m₂ = mass of block
d = distance the block slides
μ_k = coefficient of kinetic friction
v_o = initial velocity of bullet

Define any other symbols you use. As a final step, substitute values given in the applet and determine the numerical value of the velocity of the bullet after passing through the block.

3. Problem 9-28 of the text

4. Problem 9-29 of the text