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Q.

When a force 1N acts on 1kg mass at rest for 1s, its final momentum is P. When 1N force acts on 1kg mass at rest through a distance 1m, its final momentum is Pl. The ratio of P to Pl is

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a

1:1

b

1:2

c

1:2

d

2:1

answer is B.

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Detailed Solution

In case(i): P=F∆t=1×1=1 kgms-1

In case (ii): If 1N force acts on 1Kg, it will produce an acceleration of 1ms-2 .

⇒v=2as=2ms-1⇒P'=2 kgms-1

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When a force 1N acts on 1kg mass at rest for 1s, its final momentum is P. When 1N force acts on 1kg mass at rest through a distance 1m, its final momentum is Pl. The ratio of P to Pl is