One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=Uo((ro/r)11−(ro/r)5) where r0 = 0.70 nm and U0 = 8.2 eV. Note: 1 eV = 1.6 x10^−19J.

You can use SI units, but CAPA will also accept these units that will simplify your calculations:

Force = eV/nm
Energy = eV
distance = nm

What is the distance between the atoms when the molecule is in stable equilibrium?

If the speed of a particle triples ,by what factor does its kinetic energy increase?

According to newton’s law of universal gravitation, which statements are true? as we move to higher altitudes, the force of gravity on us decreases. as we move to higher altitudes, the force of gravity on us increases. as we gain mass, the force of gravity on us decreases. as we gain mass, the force of gravity on us increases. as we move faster, the force of gravity on us increases.

Aplayground slide is 8.80 ft long and makes an angle of 25.0° with the horizontal. a 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? what is the change in potential energy as the child slides from the top to the bottom of the slide? (include the sign of the value in your answer.)