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 ×1 0 − 13 J , and the masses of the helium and gold nuclei were 6.68 ×1 0 − 27 kg and 3.29 ×1 0 − 25 kg , respectively (note that their mass ratio is 4 to 197). a. If a helium nucleus scatters to an angle of 12 0 ° during an elastic collision with a gold nucleus, calculate the helium nucleus’s final speed and the final velocity (magnitude and direction) of the gold nucleus. b. What is the final kinetic energy of the helium nucleus?
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 ×1 0 − 13 J , and the masses of the helium and gold nuclei were 6.68 ×1 0 − 27 kg and 3.29 ×1 0 − 25 kg , respectively (note that their mass ratio is 4 to 197). a. If a helium nucleus scatters to an angle of 12 0 ° during an elastic collision with a gold nucleus, calculate the helium nucleus’s final speed and the final velocity (magnitude and direction) of the gold nucleus. b. What is the final kinetic energy of the helium nucleus?
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
×1
0
−
13
J
, and the masses of the helium and gold nuclei were
6.68
×1
0
−
27
kg
and
3.29
×1
0
−
25
kg
, respectively (note that their mass ratio is 4 to 197).
a. If a helium nucleus scatters to an angle of
12
0
°
during an elastic collision with a gold nucleus, calculate the helium nucleus’s final speed and the final velocity (magnitude and direction) of the gold nucleus.
b. What is the final kinetic energy of the helium nucleus?
A neutron with mass m1 moving with velocity v0 collides elastically and head-on with a target particle with mass m2 that is at rest. After the collision, the neutron moves with velocity v1f and the target particle moves with velocity v2f.
Write the two equations that express conservation of momentum and conservation of kinetic energy for this collision.
Consider collisions of the neutron (mass = 1.0 atomic mass unit (amu)) with the following stationary target particles
an electron (mass =5 x 10-4 amu)
a proton (mass = 1.0 amu)
the nucleus of a carbon atom (mass = 12.0 amu)
the nucleus of a uranium atom (mass = 238 amu)
Match some of the collisions above with each of the following head-on collisions that we discussed in lecture:
the collision between two billiard balls, one of the billiard balls initially at rest
the collision between a ping pong ball and a bowling ball, the ping pong ball initially at rest
the collision between a ping pong ball and a bowling ball, the bowling…
A golf ball of mass m = 0.18 kg is dropped from a height h. It interacts with the floor for t = 0.11 s, and applies a force of F = 17.5 N to the floor when it elastically collides with it.
Randomized Variablesm = 0.18 kgt = 0.11 sF= 17.5 N
Write an expression for the ball's velocity, v, in terms of the variables m, t, and F, just after it rebounds from the floor. (Hint: The fact that the collision is elastic is important when solving this problem.) What is the magnitude of the ball's velocity v, in meters per second, right after it rebounds? How high h, in meters, will the ball travel on the rebound?
An initially stationary rocket explodes in empty space. Out of the debris two pieces are recovered: m1=10kg traveling with speed of 500m/s and a second mass m2=20kg, traveling with speed 1500m/s.
What is the minimum amount of energy released in the explosion?
What is the minimum amount of energy released in the explosion?
Group of answer choices
K≥2.250×107J
K≥3.500×104J
K≥2.375×107J
K≥1.250×106J
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