A stone is projected vertically upwards with velocity ' V . Another stone of same mass is projected at an angle of 60^ with the vertical with the same speed (V). The ratio of their potential energies at the highest points of their journey, is

Step-by-step solution

Maximum height, h = u ^2 ^2 2 ~g For the first stone =90^ , 90^ =1 h ₁= u ^2 2 ~g = V ^2 2 ~g For the second stone, h ₂= v ^2 ^2 30^ 2 ~g = V ^2 8 ~g The masses are same. Hence ratio of potential energies U ₁ U ₂ = h ₁ ~h ₂ =4