How Much Ice Melts When a Bullet Penetrates It?

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A 70 gram bullet traveling at 250 m/s impacts a block of ice at 0 degrees Celsius, and the goal is to determine how much ice melts from this collision. To solve this, one must calculate the kinetic energy of the bullet and the energy required to melt ice. The kinetic energy of the bullet can be calculated using the formula KE = 0.5 * mass * velocity^2. The energy needed to melt ice is based on its latent heat of fusion, which is approximately 334 joules per gram. Understanding these energy transfers is crucial to finding the amount of ice melted by the bullet's impact.
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Please help...How much ice melts?

Homework Statement


A 70 gram bullet traveling at 250 m/s penetrates a block of ice at 0 degrees Celsius and comes to rest within the ice. Assuming that the temperature of the bullet doesn't change appreciably, how much ice is melted as a result of the collision?

The Attempt at a Solution


I don't know where to start on this?
 
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Questions to get you started:

How much energy is needed to melt a gram of ice?

How much energy does the bullet give to the block of ice when it slows down?
 

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