Problem 5.56 Part A A mysterious crate has shown up at your place of work, Firec

Question

Problem 5.56 Part A 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 a 0.60-kg iron 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 be 0.049 m/s by timing how long it takes to cross floor tiles. You look up the specifications of the firecracker and find that it releases 8 J of energy. That's all you need, and you quickly calculate the inertia of the crate What is that inertia? Express your answer with the appropriate units. Value Units Submit My Answers Give Up Provide Feedba Continue

Explanation / Answer

Here ,

let the speed of the iron is v after explosion

and the mass of crate is m

Now, using consevration of momentum

0.60 * v - 0.049 * m = 0

for the energy released

0.50 * 0.60 * v^2 + 0.50 * m * 0.049^2 = 8

solving for v and m

v = 5.14 m/s

m = 62.9 Kg

the mass of the block is 62.9 Kg

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