A Bullet of Mass M Is Fired at Speed V₀ $\mu$

question 35

Multiple Choice

A bullet of mass m is fired at speed v₀ into a wooden block of mass M. The bullet instantaneously comes to rest in the block. The block with the embedded bullet slides along a horizontal surface with a coefficient of kinetic friction $\mu$ . Which one of the following expressions determines how far the block slides before it comes to rest (the magnitude of displacement s in the figure) ?

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Definitions:

Total Saving

The total amount of income saved by individuals, businesses, and the government, not spent on current consumption.

Disposable Income

The amount of income left for an individual or household after paying all taxes, available for spending, saving, or investing.

Autonomous Consumption

The level of consumption that occurs when income is zero, showing the basic level of consumption necessary for survival.

Permanent Income Hypothesis

A theory suggesting that people's consumption decisions are based on their long-term income expectations rather than their current disposable income.