A \(20 \mathrm{~g}\) ball of clay is thrown horizontally at \(30 \mathrm{~m} / \mathrm{s}\) toward a \(1.0 \mathrm{~kg}\) block sitting at rest on a frictionless surface. The clay hits and sticks to the block,

a. What is the speed of the block and clay right after the collision?

b. Use the block's initial and final speeds to calculate the impulse the clay exerts on the block.

c. Use the clay's initial and final speeds to calculate the impulse the block exerts on the clay.

d. Does \(\vec{J}_{\text {block onclay }}=-\vec{J}_{\text {clay onblock }}\) ?