Question

A $4.5kg$ object is sliding along a horizontal surface that exerts friction on the object with coefficient of friction $\mu =0.24$ on the object. The object slides through a distance of $3.00m$.
What is the work performed on the object?

• A. $3.24J$
• B. $10.6J$
• C. $31.8J$
• D. $132.4J$
• E. None of the above

Answer 1

The correct option is C $31.8J$

Given : $m=4.5$ kg $\mu =0.24$ $S=3.00$ m

Magnitude of frictional force $f=\mu mg=0.24\times 4.5\times 9.8=10.58$ N

Magnitude of work done $W=|f\times S|=|10.58\times 3.00|=31.8$ J