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Physics-

General

Easy

Question

A block of mass 2kg is free to move along the x- axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force $F left parenthesis t right parenthesis$ in the x- direction. The force $F left parenthesis t right parenthesis$ varies with t as shown in the figure. The kinetic energy of the block after 4.5 seconds is

4.50 J
7.50 J
5.06 J
14.06 J

The correct answer is: 5.06 J

$not stretchy integral F d t equals increment rho$
$rightwards double arrow fraction numerator 1 over denominator 2 end fraction cross times 4 cross times 3 minus fraction numerator 1 over denominator 2 end fraction cross times 1.5 cross times 2 equals p subscript f end subscript minus 0 rightwards double arrow p subscript f end subscript equals 6 minus 1.5 equals fraction numerator 9 over denominator 2 end fraction$
$K. E. equals fraction numerator p to the power of 2 end exponent over denominator 2 m end fraction equals fraction numerator 81 over denominator 4 cross times 2 cross times 2 end fraction semicolon K. E. blank equals 5.06 blank J$

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