A 24-N Crate Starting at Rest Slides Down a Rough

question 39

Multiple Choice

A 24-N crate starting at rest slides down a rough 4-m long ramp,inclined at 29° with the horizontal.20 J of energy is lost to friction.What will be the speed of the crate at the bottom of the incline?

• A) 11.4 m/s
• B) 3.3 m/s
• C) 1.5 m/s
• D) 4.7 m/s
• E) ​21.6 m/s

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Definitions:

Cramer's Rule

A mathematical theorem used to solve systems of linear equations with the same number of equations as unknowns, using determinants.

System of Linear Equations

A group of one or more linear equations that share a common set of variables.

Row-echelon Form

A form of a matrix where all nonzero rows are above any rows of all zeroes, and each leading entry of a row is to the right of the leading entry of the previous row.

Matrix

A rectangular array of numbers, symbols, or expressions, arranged in rows and columns, used in linear algebra.