In an Elastic Collision Between Two Bodies of Mass M₁

question 26

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.

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Definitions:

Receptors

Proteins on the surface or inside of cells that bind to specific molecules like hormones or neurotransmitters, triggering a cellular response.

Hormone

A chemical messenger, often produced in one region of the body of a multicellular organism and transported to another region where it signals cells to alter some aspect of growth, development, or metabolism.

Tyrosine Kinase Receptors

A type of enzyme-linked receptor on cell surfaces that phosphorylates tyrosine residues on target proteins, playing key roles in cell signaling.

Protein Kinase Cascade

A series of protein kinases that sequentially phosphorylate and activate each other, leading to the amplification of a cellular signal.