Determine what fraction of the total energy ( etot ) of the cart-spring system is elastic potential energy ( us ) and what fraction is kinetic energy ( k ) when the cart is at position x=a/2.

Respuesta :

Elastic potential energy makes for 0.25 of the energy output of the cart-spring system. When the cart is in position x=A/2, the ratio of kinetic energy (K) to total energy is 0.75.

Describe energy.

In physics, energy is the capacity to carry out work. It might take on several shapes, including potentially, kinematic, thermal, electrical, chemical, radioactive, etc.

Briefing :

By applying the conservation of energy ,

Total energy of a cart-spring system with amplitude A is =1/2 KA²

when the cart is at position x=A/2,the elastic potential energy (Us)  is : =1/2 K(A/2)²

=1/2 K A²/4=/4

=1/4=0.25

Applying again the conservation of energy:

Total energy = potential energy + kinetic energy.

          1/2 KA²=1/8 KA²+K

So, kinetic energy: K =1/2 KA²(1-1/4)

                                 =3/4×(1/2 KA² )

                               K=3/4

                                 =0.75

Hence, expressing answers using two significant figures separated by a comma will be  0.25 and 0.75.

To know more about energy visit :

https://brainly.com/question/1932868

#SPJ4

Otras preguntas