11. Momentum & Impulse

An 8g piece of sticky clay strikes and embeds itself in a 0.992kg block at rest on a frictionless, horizontal surface. The block is attached to a spring with a spring constant of 5N/m. The impact compresses the spring 75.0 cm. What was the initial speed of the clay?

(II) A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then compresses a spring (k = 140 N/m) by a distance 𝓍 = 0.050 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50

(b) What fraction of the bullet’s initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?

(II) A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then compresses a spring (k = 140 N/m) by a distance 𝓍 = 0.050 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50.

(a) What is the initial velocity (assumed horizontal) of the bullet?

In Problems 76, 77, 78, and 79 you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

1/2(0.30 kg)(0 m/s)² + 1/2(3.0 N/m)(Δx2)²

= 1/2(0.30 kg)(v1x)² + 1/2(3.0 N/m)(0 m)²

In Problems 76, 77, 78, and 79 you are given the equation(s) used to solve a problem. For each of these, you are to

b. Finish the solution of the problem, including a pictorial representation.

1/2(0.30 kg)(0 m/s)² + 1/2(3.0 N/m)(Δx2)²

= 1/2(0.30 kg)(v1x)² + 1/2(3.0 N/m)(0 m)²