Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Work kinetic energy theoremMedium2 minPYQ_2020
PhysicsMediumsingle choice

A0.5 kgblock slides fromAon horizontal track with an initial speed of3 m s–1towards a weightless horizontal spring of length1 mand force constant2 N m–1. The partABof the track is frictionless and the partBChas the coefficient of static and kinetic friction as0.22and0.20respectively. If the distanceABandBDare2 mand2.14 m respectively, the total distance through which the block moves before it comes to rest completely is -

Options:

Answer:
C
Solution:

AtD, KE=12 mv2 – μkmg BD

= 12 × 0.5 × 32 – 0.2 × 0.5 × 10 × 2.14

= 2.25 – 2.14=0.11 J

0.11=12 kx2 + μRmgx⇒x2+x–0.11=0

⇒x=0.1 m

Total distance covered=2 + 2.14 + 0.1 =4.24 m

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Work kinetic energy theorem
⏱ 2mℹ️ Source: PYQ_2020

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