# A mass of 2.9 kg is suspended from a string of length 50cm and is at rest. Another body of mass 100g which is moving horizontally with a velocity of 150 m/s strikes it.Afterstriking the two bodies combinetogether. The tension in the string,when it makes an angle of  with the vertical is (Take ) a) 135.3 N b) 165.7N c) 142N d) 90N

## Question ID - 100497 :- A mass of 2.9 kg is suspended from a string of length 50cm and is at rest. Another body of mass 100g which is moving horizontally with a velocity of 150 m/s strikes it.Afterstriking the two bodies combinetogether. The tension in the string,when it makes an angle of  with the vertical is (Take ) a) 135.3 N b) 165.7N c) 142N d) 90N

3537

(a)

Applying the law of conservation of linear momentum,

Or

If is the speed of the combined mass at the instant when the string makes an angle  with the vertical, then

(i)

Applying the law of conservation of  mechanical energy, we have

Or

Or

(ii)

Solving for we get

Putting this value in Eq. (i),we get

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 A body is hanging from a rigid support by an inextensible string of length It is struck inelastically by an identical body of mass  moving with horizontal velocity  the tension in the string increases just after striking by a) b) 3 c) 2 d) None of these