1.

A pendulum bob of mass 5xx10^(-2) kg is raised to a height of 5xx10^(-2) m and then released. At the bottom of its swing it picks up a mass 10-kg and sticks to it. To what height the combined mass rise

Answer»

0.24 m
0.48 m
0.96 m
1.44 m

Solution :Speed of pendulum before striking the mass
`=sqrt(2gh)=sqrt(2xx10xx5xx10^(-2))=1 ms^(-1)`
Now are conservation of momentum.
`(5xx10^(-2)+10^(-3))V.=5xx10^(-2)xx1`
`IMPLIES v.=(5xx10^(-2))/(5.1xx10^(-2))=(5)/(5.1)ms^(-1)`
`:.` HEIGHT to which the combined mass rises is
`h=(v^(2))/(2g)=((5)/(5.1))^(2)xx(1)/(2xx10)=0.48m`


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