question_answer

Weights of two bodies A and B are 500 N and 250 N respectively. If the mass of A is 5 kg, what is the mass of B?

Answer:

\[{{W}_{A}}={{m}_{A}}\,\,g=500N,\,\,\,{{m}_{A}}=5\,\,kg\] \[{{W}_{B}}={{m}_{B}}\,\,g=250N,\,\,\,{{m}_{B}}=?\] \[\Rightarrow \frac{{{W}_{A}}}{{{W}_{B}}}=\frac{{{m}_{A}}}{{{m}_{B}}}\] \[\Rightarrow {{W}_{A}}{{m}_{B}}={{W}_{B}}{{m}_{A}}\] \[\Rightarrow {{m}_{B}}\frac{{{W}_{B}}{{m}_{A}}}{{{W}_{A}}}=\frac{250\times 5}{500}kg=2.5\,\,kg\]