Question

particle is fired upward with a speed of 20 km/
sec. The speed with which it will move in
intersteller space is
(a) 8.8 km/sec (b) 16.5 km/sec
(c) 11.2 km/sec (d) 10 km/sec​

Answer 1

Answer:

From conservation of energy

12mv2=12m[(20)2−v2e]

ve -escape velocity

=82–√km/s

v2=202−(82–√)2

v=16.5km/s

Hence b is the correct answer.

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Answer 2

The speed with which it will move in interstellar space is 16.5 km/hr.

Given

Velocity of particle = 20 km/hr

To Find

We need to find the speed with which particle will move in intersteller space.

Solution

We know the law of conservation of energy.

$\frac{1}{2}$ $mv^{2} = \frac{1}{2} m (v^{2}- v_{e} ^{2} )$

velocity of particle = 20 km/ hr.

escape velocity = 8$\sqrt{2}$ km/ hr.

Substituting in the equation,

$v^{2}$ = $20^{2} - ( 8\sqrt{2} )^{2}$

$v^{2}$  = 400 - 128

v = √ 272

 = 16.5 km/hr

The speed with which it will move in interstellar space is 16.5 km/hr

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