Momentum: a Firecracker Breaks Up into Several Pieces, One of Which

question 44

Multiple Choice

Momentum: A firecracker breaks up into several pieces, one of which has a mass of 200 g and flies off along the x-axis with a speed of 82.0 m/s. A second piece has a mass of 300 g and flies off along the y-axis with a speed of 45.0 m/s. What are the magnitude and direction of the total momentum of these two pieces?

• A) 361 kg∙m/s at 56.3° from the x-axis
• B) 93.5 kg∙m/s at 28.8° from the x-axis
• C) 21.2 kg∙m/s at 39.5° from the x-axis
• D) 361 kg∙m/s at 0.983° from the x-axis
• E) 21.2 kg∙m/s at 56.3° from the x-axis

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Definitions:

Mantle-Derived Magmas

Magmas that originate from the partial melting of the Earth's mantle, often rich in magnesium and iron.

Continental Crust

The layer of igneous, sedimentary, and metamorphic rocks which form the continents and the shallow seas close to them, distinguished by its lower density compared to oceanic crust.

Decompression Melting

The process by which melt is generated within the Earth when a body of rock is held at approximately the same temperature but the pressure is reduced.

Mantle-Derived Magmas

Magmas that originate from melting processes within the Earth's mantle, often associated with tectonic activity and volcanic eruptions.