Q.

Acceleration versus x and potential energy versus x graph of a particle moving along X-axis are as shown
below. Mass of the particle is 1 kg and velocity at x = 0 is  4 ms-1.

Match the following columns for x = 8m and mark the correct option from the codes given below

Question Image

Column I

(A) Final kinetic energy

(B)  Work done by conservative forces

(C) Total work done

(D) Work done by external forces

Column II

(p)  120J

(q)  240J

(r ) -120 J

(s)  128 J


.

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a

A  B C D

p q r s

b

A  B C D

p s r q

c

A  B C D

s   q  p  r

d

A  B C D

s  p r q

answer is B.

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Detailed Solution

vf-vi= Area of a-x graph =12 ms-1

  vf=12+4=16 ms-1

ΔKE=12mvf2-vi2=12OJ

Total work done by all the forces  =ΔKE=120 J

Final KE,  Kf=12mvf2=128 J

Work done by conservative forces  =Ui-Uf=240 J

Work done by external forces  = Total work done - Work done by conservative forces

=-120 J

Hence,  As,Bq,Cp,Dr

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Acceleration versus x and potential energy versus x graph of a particle moving along X-axis are as shownbelow. Mass of the particle is 1 kg and velocity at x = 0 is  4 ms-1.Match the following columns for x = 8m and mark the correct option from the codes given belowColumn I(A) Final kinetic energy(B)  Work done by conservative forces(C) Total work done(D) Work done by external forcesColumn II(p)  120J(q)  240J(r ) -120 J(s)  128 J.