Instead of a Ballistic Pendulum We Could Use a System $\times$

question 24

Multiple Choice

Instead of a ballistic pendulum we could use a system where the bullet (mass = m) is fired into a block (mass = M) that is coupled to an uncompressed spring (with spring constant k) .The speed of the bullet,v,can be found by measuring the maximum distance,d,of compression of the spring.In this situation the initial speed of the bullet is given by:

• A)(k \(\times\) (M+m))^1/2 \(\times\) d/M
• B)(k \(\times\) (M))^1/2 \(\times\) d/m
• C)(k \(\times\) (M+m))^1/2 \(\times\) d/m
• D)(k \(\times\) (M-m))^1/2 \(\times\) d/m
• E)(k \(\times\) (M+m))^1/2 \(\times\) d/2m

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Definitions:

Accounting Profit

The total revenue of a business minus the explicit costs, representing the financial gain shown in the income statement.

Implicit Costs

The opportunity costs that arise from using assets, resources, or funds to undertake an action instead of another activity, not directly recorded in financial statements.

Explicit Costs

Direct monetary expenses incurred in the course of doing business, such as wages, rent, and materials.

Peak Efficiency

The optimal point at which a particular process or system operates with maximum effectiveness or efficiency.