A particle is acted upon by a force F which varies with position x as shown in figure. If the particle at x = 0 has kinetic energy of 25 J, then the kinetic energy of the particle at x = 16 m is

Question

Infinity Learn · Accepted Answer

Work done W $$=$$ Area under $$F-x$$ graph with proper signW $$=$$ Area of triangle ABC $$+$$ Area of rectan gle CDEF $$+$$ Area of rectangle FGHI $$+$$ Area of rectangle IJKLW $$=$$ [$$12$$×$$6$$×$$10$$]$$+$$[$$4$$×$$(-5)$$]$$+$$[$$4$$×(5)]$$+$$[$$2$$×$$(-5)$$]    $$=$$ $$30-20+20-10$$     $$=$$ $$20JAccording$$ to work energy $$theoremKf-Ki$$ $$=$$ Wor $$(Kf)x=16m-(Ki)x=0m$$ $$=$$ W     $$(Kf)x=16m$$ $$=$$ $$(Ki)x=0m+W=$$ $$25$$ $$J+20$$ J              $$(Using$$ $$(i))=$$ $$45$$ J

A particle is acted upon by a force F which varies with position x as shown in figure. If the particle at x = 0 has kinetic energy of 25 J, then the kinetic energy of the particle at x = 16 m is

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