Choose the correct statement(s) from the following.
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a
Force acting on a particle for equal time intervals can produce the same change in momentum but different change in kinetic energy.
b
Force acting on a particle for equal displacements can produce same change in kinetic energy but different change in momentum.
c
Force acting on a particle for equal time intervals can produce different change in momentum but same change in kinetic energy.
d
Force acting on a particle for equal displacements can produce different change in kinetic energy but same change in momentum.
answer is A.
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Detailed Solution
The change in momentum for each time interval t0 is Δp=Ft0 which is constant. But the change in kinetic energy in each time interval t0 is different.First t0 interval: ΔK1=Δp22m=F2t022mSecond t0 interval: ΔK2=(2Δp)2−(Δp)22m=3F2t022m The change in kinetic energy is ΔK=Fx0=constantFirst x0 displacement: Δp1=2mΔK1=2mFx0Second x0 displacement: Δp2=2m2Fx0−2mFx0=0.4142mFx0