Q.

Acceleration-time graph of a particle shown, Work done by all the forces acting on the particle of mass ‘m’ in time interval t1, and t2, while a1 and a2 are the acceleration time t1 and t2.Then the value of work done is ma12nt12r24t14 . Then the value of n is

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answer is 8.

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Detailed Solution

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v1=12a1t1,v2=12a2t2

w=12mv22v12

w=12m1/2a2t221/2a1t12

w=18ma22t22a12t12

from graph Tanθ=a1t2=×a2t2 a1t2=a2t1

a2=a1t2t1

w=18ma12t22×t22a12t12t12w=18a12t24a12t14t12

w=ma128t12t24t14

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