Chemistry
Chemistry, 22.11.2019 00:31, Nelly745

Show how the equation for ke = force x distance

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Physics, 18.07.2019 23:10, azaz1819
The lennard-jones potential the lennard-jones potential, which is a good approximation for the potential energy of two neutral atoms or molecules with a separation r, can be given in several mathematical forms. the two most common versions are: (a) = { ) 12 − 2( ) 6 } (b) where e , s and r0 are constants. a) explain by calculations or by logical reasoning why ro can be called the ”equilibrium distance” of the two atoms (or molecules). b) similarly, explain why ε is called the ”depth of the potential well”. c) use the general result that force is the negative gradient of the potential , and calculate in one dimension to obtain two expressions of the force between the two atoms based on equations (a) and (b). d) use the expression of the force derived from equation (a) to find the “two distances” at which there is zero force between the molecules. call the shorter distance r0 and show that . e) show that with this value of ro, equation (b) can be converted into equation (a). f) use one of the expressions of the force derived in c) and perform exact calculations to show that the separation giving the maximum attractive force is always 11 % further away than the equilibrium distance, or written mathematically, rm = 1.11 ro. note that a much more realistic case than two atoms is to consider a tip approaching a semiinfinite plane. to model that mathematically, one can assume that each pair of atoms in the tip and the sample interacts via a lennard-jones potential. it is relatively easy to show that also in this case, there will be an equilibrium distance r0. for r < r0, there is strong repulsion, and
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Physics, 03.09.2019 20:30, ayoismeisalex
The energy of a covalent bond as a function of interatomic distance, r, is described by the following equation: in this equation, energy is expressed in units of kj•mol−1 and distance in å. what is the equation that describes the force with respect to position? what is the energy when the interatomic distance is 2 å? at the same value of the interatomic distance, what is the force and is the force pushing the bonded atoms closer together or further apart?
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Physics, 23.11.2019 03:31, lizzyhearts
1)a cyclist travels ¾ of a circular track from a to b as shown in figure. the radius of the circular track is 400 m. calculate the displacement and distance travelled by the cyclist. show along with steps(1) 2)two objects having their masses 3: 5 are acted upon by two forces.the forces are in the ration of 5: 3. find the ration in their accelerations. show along with steps (2) 3) a man pushes a box of mass 50 kg with a force of 80 n. what will be the acceleration of the box due to the force? what would be the acceleration if the mass were doubled? show along with steps(3) 4) how does the force of gravitation between two objects change when the distance between them is reduced to half. show along with steps (4) 5) explain what happens to the force between two objects if: a) the mass of one object is doubled? b) the distance between the object is tripled. show along with steps (5) 6)how will the equations of motion for an object moving with a uniform velocity change? show along with steps (6) 7)the force of attraction between two bodies is 20n. calculate the force between them when mass of each body as well as the distance between them are halved. show along with steps(7)
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