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 ) |
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a) |
135.3 N |
b) |
165.7N |
c) |
142N |
d) |
90N |

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 |

1 Answer

127 votes

**(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

127 votes

127