(II) A 70 -g bullet traveling at 250 m / s penetrates a block of ice at 0^∘ C and comes to rest

Name: Problem 30, Chapter 14: Physics Principles with Applications
Uploaded: 2020-07-23T20:42:28-08:00
Duration: 1 min 59 s
Channel: Rachel Peterson
Description: (II) A 70 -g bullet traveling at 250 m / s penetrates a block of ice at 0^∘ C 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?

step 1 For this problem, we are assuming that all the kinetic energy of the bullet is being converted t

Question

(II) A 70 -g bullet traveling at 250 $\mathrm{m} / \mathrm{s}$ penetrates a block of ice at $0^{\circ} \mathrm{C}$ 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?

   (II) A 70 -g bullet traveling at 250 $\mathrm{m} / \mathrm{s}$ penetrates a block of ice at $0^{\circ} \mathrm{C}$ 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?

Physics Principles with Applications

Douglas C. Giancoli 6th Edition

Chapter 14, Problem 30

Instant Answer

Solved by Expert Rachel Peterson

07/23/2020

Step 1

The kinetic energy of the bullet is converted into heat energy which is used to melt the ice. The kinetic energy of the bullet can be given by the equation $\frac{1}{2} m_{b} v^{2}$, where $m_{b}$ is the mass of the bullet and $v$ is its velocity. Show more…

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(II) A 70 -g bullet traveling at 250 $\mathrm{m} / \mathrm{s}$ penetrates a block of ice at $0^{\circ} \mathrm{C}$ 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?

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Key Concepts

Latent Heat of Fusion

Latent heat of fusion is the energy required to change a substance from a solid to a liquid at its melting point without changing its temperature. This concept is crucial when determining how much energy is needed to melt a given mass of a substance, such as ice, from the heat provided by another process.

Energy Conservation

The principle of energy conservation states that energy in an isolated system is neither created nor destroyed, only transformed from one form to another. In physical processes such as collisions, the kinetic energy of moving objects can be converted into other forms of energy, like heat.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion, calculated as one-half the product of its mass and the square of its velocity. This energy is significant in scenarios where moving objects transfer their energy upon deceleration or collision.

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