two bodies of mass 2kg and 8kg are at rest if same force acts on them, the ratio of - Physics - Work Energy And Power

Question

two bodies of mass 2kg and 8kg are at rest if same force acts on
them, the ratio of distances travelled by them before they attain
same kinetic energy is? (ans : 1:1)

Ved Prakash Lakhera · Accepted Answer

The acceleration on the body of mass 2Kg=a1=F2
The acceleration on the body of mass 8Kg=a2=F8
The velocity attained by mass of 2Kg and 8Kg is given by;       v12=2×F2×s1=F×s1  and    v22=2×F8×s2=F4×s2As their kinetic energyies are equal, so      12mv12=12Mv22or  2×F×s1=8×F4×s2or             s1=s2

two bodies of mass 2kg and 8kg are at rest. if same force acts on them, the ratio of distances travelled by them before they attain same kinetic energy is? (ans : 1:1)