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PhysicsCenter of MassImpulse momentum theoremMedium2 minPYQ_2018
PhysicsMediumnumerical

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of massm=0.4kgis at rest on this surface. An impulse of1.0 N sis applied to the block at timet=0so that it starts moving along the x-axis with a velocityvt=v0e-tτ, wherev0is a constant andτ=4. The displacement of the block, in meter, att=τis __________. Takee-1=0.37

Question diagram: A solid horizontal surface is covered with a thin layer of o
Answer:
6.30
Solution:


v=v0e-tτ
v0=Jm=2.5 m/s
v=v0e-tτ
dxdt=v0e-tτ
0xdx=v00τe-tτdt
e-xdx=e-x-1
x=v0e-tτ-1τ0τ
x=2.5-4e-1-e0
x=25-40.37-1
x=6.30 

Stream:JEE_ADVSubject:PhysicsTopic:Center of MassSubtopic:Impulse momentum theorem
2mℹ️ Source: PYQ_2018

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