Questions
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
detailed solution
Correct option is A
Here, a=−kx, where a is acceleration, x is displacement and k is proportionality constant. ∴ vdvdx=−kx Vdv=−kxdx Integrating within proper limits, we get ∫v0v vdv=−k∫0x xdx v22v0v=−kx220x v2−v022=−kx22 multiplying m on both sides, we get m v2−v022=−mkx22∞x2 Δk=−mkx22∝x2Talk to our academic expert!
Similar Questions
The curved portions are smooth and horizontal surface is rough. The block is released from P. At what distance from A, it will stop (if = 0.8)?
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