In an Elastic Collision Between Two Bodies of Mass M₁

question 85

Multiple Choice

In an elastic collision between two bodies of mass m₁ and m₂, with m₂ initially at rest, mass 1 moves off at angle θ relative to the direction of its initial velocity and mass 2 at angle φ. An exam paper shows the equations below: m₁v_1i
0
= m₁v_1f cosθ + m₂v_2f sinφ
= m₁v_1f sinθ + m₂v_2f cosφ
What error(s) has the student made?

• A) In the first equation, m₂v_2f sinφ should be m₂v_2f cosφ.
• B) In the second equation, m₂v_2f cosφ should be m₂v_2f sinφ.
• C) In the second equation, the plus sign between the terms on the right should be a minus sign.
• D) All of the errors listed above.
• E) Only errors (a) and (b) above.

Understand the concept of standard deviation as a measure of risk in a portfolio, particularly in portfolios containing both risky and risk-free assets.

Interpret the budget line in portfolio analysis concerning expected return and standard deviation.

Analyze the relationship between risk and return, including the impact of asset correlation on portfolio risk.

Evaluate investment decisions through the lens of marginal rate of substitution (MRS) and optimize asset allocation in a portfolio.

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Definitions:

Sodium Gates

Protein channels in cell membranes that open or close to allow sodium ions to enter or exit, playing key roles in generating electrical signals.

Weak Stimulus

A stimulus not strong enough to trigger a significant physiological response.

Skill Memory

The ability to perform tasks without conscious effort, acquired through repetition and practice, such as riding a bicycle.

Episodic Memory

A type of long-term memory that involves the recollection of specific events, situations, and experiences.