Ernest rutherford (the first new zealander to be awarded the nobel prize in chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei from gold-197 nuclei. the energy of the incoming helium nucleus was 8.00\times 10^{-13}~\text{j}8.00×10 −13 j, and the masses of the helium and gold nuclei were 6.68\times 10^{-27}~\text{kg}6.68×10 −27 kg and 3.29\times 10^{-25}~\text{kg}3.29×10 −25 kg, respectively (note that their mass ratio is 4 to 197). if a helium nucleus scatters to an angle of 120^\circ120 ∘ during an elastic collision with a gold nucleus, what is the final kinetic energy of the helium nucleus?

d is the correct answer

the total distance traveled by the car is

30km + 49km = 79 km .

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.