A force produces an acceleration of 1.5 m/s^2 in a disk. Three such disks are tied together and the same force is applied on the combination. What will be the acceleration? (Ans:- 0.5m/s^2)

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Answer 1 · 2018-05-13T13:59:03

#"0.5 m/s"^2#

From Newton’s second law

#"F = ma"#

In both cases force (#"F"#) is constant. So,

#"ma = constant"#

We can also write

#"m"_1"a"_1 = "m"_2"a"_2#

Rearrange the above equation

#"a"_2 = "a"_1 × "m"_1/"m"_2#

#"a"_2 = "1.5 m/s"^2 × (cancel"m")/(3cancel"m") = "0.5 m/s"^2#