A Firecracker Breaks Up into Two Pieces, One of Which $21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }$

question 47

Multiple Choice

A firecracker breaks up into two 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. The second piece has a mass of 300 g and flies off along the +y -axis with a speed of 45.0 m/s. What is the total momentum of the two pieces?

• A) \(21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }\)
• B) \(21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 39.5 ^ { \circ } \text { from the } + x \text {-axis }\)
• C) \(361 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }\)
• D) \(361 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 0.983 ^ { \circ } \text { from the } + x \text {-axis }\)
• E) \(93.5 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 28.8 ^ { \circ } \text { from the } + x \text {-axis }\)

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Definitions:

Physical Inventory

A process of counting and verifying the actual inventory on hand at a specific time, typically used to validate inventory records and adjust discrepancies.

Periodic System

An inventory tracking system that updates inventory balances after a specific period, based on physical inventory counts.

First-In

Often used in the context of inventory management, "First-In" refers to goods that were acquired or produced first being sold, used, or disposed of first.

Average Cost

A method of inventory valuation that determines the cost of goods sold and ending inventory based on the average cost of all similar items in inventory.