The potential energy of a long spring when stretched by 2cm is U. If the spring is stretched by 8 cm the potential energy stored in it is……….

The potential energy of a long spring when stretched by 2cm is U. If t

1.	The potential energy of a long spring when stretched by 2cm is U. If the spring is stretched by 8 cm the potential energy stored in it is……….
Answer» `8U` `16U` `(U)/(4)` `4U` Solution :Potential energy STORED in spring `U= (1)/(2) kx^(2)` For `x=2, U= (1)/(2)k(2)^(2)= 4xx (k)/(2)= 2K"""……"(1)` For `x=8 cm," NEW "U= U.= (1)/(2) k(8)^(2)= (1)/(2)k(64)` `= 32k= 16(2k)` `THEREFORE U.= 16U""therefore " from equation (1) ")`