question_answer

Which one requires more force to move? (a) To move a body of mass 10 kg with an 2 acceleration of \[\text{5}0\text{ m}/{{\text{s}}^{\text{2}}}\]or (b) To move a body of mass 1000 mg with an acceleration of\[\text{1}000\text{ cm}/{{\text{s}}^{\text{2}}}\]

Answer:

Mass of first body \[({{m}_{1}})=10kg.\] Mass of second body \[({{m}_{2}})=1000mg\] Acceleration of first body\[({{a}_{1}})=1000\,\,m/{{s}^{2}}\]Acceleration of second body \[({{a}_{2}})=1000\,\,m/{{s}^{2}}\] Force applied on first body \[({{F}_{1}})=?\] Force applied on second body \[({{F}_{2}})=?\] We know, F = ma Applying the above formula in both the cases, we get \[{{F}_{1}}={{m}_{1}}{{a}_{1}}\] \[{{F}_{2}}={{m}_{2}}{{a}_{2}}\] \[{{F}_{2}}={{10}^{-3}}\times 10={{10}^{-2}}N\]     Therefore, greater force is required to move the body of mass 10 kg with an acceleration\[50\,\,m/{{s}^{2}}.\]