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:

Amino Acid

Organic compounds that serve as the building blocks of proteins, playing critical roles in biological processes.

Eukaryotic mRNA

Messenger RNA in eukaryotes, which is synthesized from DNA and carries genetic information from the nucleus to the ribosome for protein synthesis.

Half Life

The time required for half of the atoms in a sample of a radioactive element to decay into a different isotope or element.

mRNA Degradation

The process of breaking down messenger RNA molecules, which is crucial for controlling the levels of specific proteins produced within cells.