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Rachel Choudhary
Asked: 2022-11-11T18:30:53+05:30 In:

Fqual net forces ant on two different block (A) and (B) masses (m) and 4(m) respectively For same displacement, identify the correct statement.
A. Their kinetic energies are in the ratio `(K_(A))/(K_(B)) = (1)/(4)`
B. Their speeds are in the ration `(v_(A))/(v_(B)) = (1)/(1)`
C. Work done on the block are in the ratio `(W_(A))/(W_(B)) = (1)/(1)`
D. All of the above

Fqual net forces ant on two different block (A) and (B) masses (m) and 4(m) respectively For same displacement, identify the correct statement.
A. Their kinetic energies are in the ratio `(K_(A))/(K_(B)) = (1)/(4)`
B. Their speeds are in the ration `(v_(A))/(v_(B)) = (1)/(1)`
C. Work done on the block are in the ratio `(W_(A))/(W_(B)) = (1)/(1)`
D. All of the above
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1 Answer

  1. Correct Answer – C
    `W =FS`
    `F` and `S`are same. Therefore,
    `W_(A)/K_(B)=1/1` From work energy theorem,
    `K_(A)/(K_(B))=W_(A)/(W_(B))=(1)/(1)`
    `1/2 m_(A)v_(A)^(2) =1/2 m_(B) v_(B)^(2)`
    `:. (v_(A))/v_(B) =sqrt((m_(B))/(m_(A))) =2/1`.

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