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

  1. 4.50 J    
  2. 7.50 J    
  3. 5.06 J    
  4. 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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