1.

Fig. shows the position-time graph of a particle of mass 4 kg. What is the Force on the particle for t lt 0, t gt 4s, 0 lt t lt 4s? (b) Impulse at t= 0 and t= 4s ? (Consider one dimensional motion only)

Answer»

Solution :For `t lt 0.` No force as Particles is at rest.
For `t gt 4s`, No force again particle comes at rest.
For `0 lt t lt 4s,` as SLOPE of OA is constant so velocity constant i.e., a =0, so force must be ZERO.
(B) IMPULSE at t= 0
Impulse =change in momentum
`I=m(v-u)=4 (0-0.75)=3"kg ms"^(-1)`
Impulse at t=4s
`I=m(v-u) =4(0.075)=-3kg ms^(-1)`


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