In a neutron scattering experiment, a neutron scatters off the stationary nucleus of an atom with an atomic mass of 61 amu in a 1 dimensional, elastic collision. After the collision, what percentage of the neutron's kinetic energy was transferred to the atom? In a second neutron absorbtion experiment, a neutron is absorbed into the nucleus of an atom with an atomic mass of 62 amu. After the collision, what percentage of the neutron's kinetic energy was remains?

Beryllium-8 is an unstable isotope and decays into two α particles, which are helium nuclei with mass 6.68×10−27kg. This decay process releases 1.5×10−14J of energy. For this problem, let's assume that the mass of the Beryllium-8 nucleus is just twice the mass of an α particle and that all the energy released in the decay becomes kinetic energy of the α particles.

a) If a Beryllium-8 nucleus is at rest when it decays, what is the speed of the  α particles after they are released?

b) If the Beryllium-8 nucleus is moving in the positive x-direction with a speed of 1.0×106 m/s when it decays, what is the speed of the slower-moving α particle after it is released? Assume that the α particles move entirely in the x-direction.

c) If the Beryllium-8 nucleus is moving in the positive x-direction with a speed of 1.0×106 m/s when it decays, what is the speed of the faster-moving α particle after it is released?  Assume that the α particles move entirely in the x-direction.

I have to do an experiment/ demonstration for my PHY251 class (Calculus based physics). I am only allowed to do it on one of the following topics: Vectors, Accelerated motion, Centripetal force, Free fall, projectile motion, Inertia, Equilibrium, Friction, Orbits, Tides. Does anyone have any ideas for a cool demonstration? Please provide instructions for the demonstration/experiment. Thank you in advance.

M, a solid cylinder (M=1.71 kg, R=0.133 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.690 kg mass, i.e., F = 6.769 N. Calculate the angular acceleration of the cylinder.

5.95×10¹ rad/s^2

If instead of the force F an actual mass m = 0.690 kg is hung from the string, find the angular acceleration of the cylinder.

How far does m travel downward between 0.730 s and 0.930 s after the motion begins?

The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.379 m in a time of 0.470 s. Find I_cm of the new cylinder.

Write a 6-7 on how the ‘theory’ for projectile motion of the ‘stream of water’, (i.e., many small water particles), may useful to design a fountain.

Compare (take the ratio) the rate of heat conduction through a 20.0-cm-thick wall that has an area of 10.0 m2 and a thermal conductivity twice that of glass wool with the rate of heat conduction through a 0.750-cm-thick window that has an area of 2.00 m2, assuming the same temperature difference across each. Show a few steps. Qualitatively, explain how you can reduce heat conduction through a window in winter.

A 10?? object hangs from a rope. The charge of the object is 30 ??. The object hangs 0.5 ? above a charge of −20 ?? on the floor

a) Find the tension in the rope.

d) Find the new tension in the rope if the ground were 20 ?? instead of −20 ??.

Explain What steps you are taking also please

A white billiard ball with mass m_w = 1.33 kg is moving directly to the right with a speed of v = 2.96 m/s and collides elastically with a black billiard ball with the same mass m_b = 1.33 kg that is initially at rest. The two collide elastically and the white ball ends up moving at an angle above the horizontal of ?_w = 29

You have three charged conducting spheres. The magnitude of these charges are 4C, 5C and 6C. Without knowing which charges are positive and which charges are negative, which of the following could represent the charge on a single sphere if the spheres are brought into contact with each other and then separated?

a. -10 C

b. 15 C

c. 0.5 C

d. -1 C

A monatomic ideal gas is at an initial pressure of 1.54 atm and 76.0 cm3. The gas undergoes an isochoric increase in pressure to 2.31 atm, then an isobaric expansion to 114 cm3. Pressure is reduced isochorically to the original pressure before an isobaric compression returns the gas to its initial values. For 1.95 moles of the gas, complete the following:

a) Generate a sketch of the PV diagram, with values clearly represented.

b) Find the heat absorbed and heat rejected during each cycle.

c) Find the work done in one cycle. d) Calculate the efficiency of the heat engine.

e) Determine the minimum and maximum temperatures during the cycle.

f) Calculate the Carnot efficiency of the heat engine.

g) Find the maximum work that can be done by a Carnot engine that absorbs heat found in part b.

h) Determine the coefficient of performance of a Carnot refrigerator operating between the temperature found earlier.

i) Determine the coefficient of performance of the system if operated as a heat pump.

1) The curl of gradient = 0
2) The divergence of curl = 0

I know how to prove these mathematically but can you explain me with a physical example or interpretation as why it is zero? Like I want to know the intuition.

1. Which of the following would not be observed if you observed the sky without a telescope? (More than one answer can be correct).

Venus moves relative to the Sun.

Mars moves relative to the stars.

The starts rotate about a single point in the sky.

The stars move relative to each other.

The Moon moves relative to the stars.

2.Comparing theories by Ptolemy and by Copernicus. (More than one answer may be correct)

A ball of mass m is attached to a string of length L. It is swung in a vertical circle with enough speed to keep the string taut throughout the motion. Assume the ball travels freely in the circle with negligible loss of mechanical energy. Determine if the following six statements are true or false; e.g., enter TTFFFF.

1. 
   
2. The tension in the string is less at the top of the circle than at the bottom of the circle.
3. The acceleration of the ball at the bottom of the circle is directed `down'.
4. mv_b²/L = T_b−mg, where v_b and T_b are the speed of the ball and the tension of the string at the bottom of the circle.
5. The speed of the ball at the bottom of the circle is greater than the speed at the top of the circle.
6. The tensions at the top and at the bottom of the circle depend on the average speed of the ball.
7. The tension in the string at the top of the circle is always greater than the weight of the ball.

If I want to design an experiment related to kinetic friction, can the following proposal meet the requirement?
By varying the weight of an object and measure the stopping distance of that object.
Is this related to kinetic friction? If not, how should I change my experiment?