A Bullet (Mass = M)is Fired at Speed V into a Block

question 56

Multiple Choice

A bullet (mass = m) is fired at speed V into a block of mass M (with M>m) which is hanging vertically from a light string of length L.The bullet stops in the block.If the recoiling block + bullet system reaches a height of 2/3L,then the initial speed of the bullet is given by

• A)M \(\times\) (1gL/3)^1/2/m
• B)M \(\times\) (2gL/3)^1/2/m
• C)M \(\times\) (3gL/4)^1/2/m
• D)m \(\times\) (4gL/3)^1/2/M
• E)M \(\times\) (4gL/3)^1/2/m

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Definitions:

Book Value

The net value of an asset as recorded on the balance sheet, calculated as the asset's cost minus accumulated depreciation.

Debt-to-equity Ratio

The debt-to-equity ratio is a financial leverage indicator that compares a company's total liabilities to its shareholder equity.

Times Interest

This refers to the times interest earned (TIE) ratio, a financial metric used to measure a company's ability to meet its debt obligations with its earnings before interest and taxes (EBIT).

Equity Multiplier

A financial leverage ratio that measures the portion of a company's assets that is financed by stockholders' equity.