A mysterious crate has shown up at your place of work, Firecracker Company, and you are told to measure its inertia. It is too heavy to lift, but it…

A mysterious crate has shown up at your place of work, Firecracker Company, and you are told to measure its inertia. It is too heavy to lift, but it rolls smoothly on casters. Getting an inspiration, you lightly tape a0.60-kgiron block to the side of the crate, slide a firecracker between the crate and the block, and light the fuse. When the firecracker explodes, the block goes one way and the crate rolls the other way. You measure the crate’s speed to be0.055m/s by timing how long it takes to cross floor tiles. You look up the specifications of the firecracker and find that it releases8Jof energy. That’s all you need, and you quickly calculate the inertia of the crate.

What is that inertia?