In a location in outer space far from all other objects, a nucleus whose mass is 4.019480 × 10−25 kg and that is initially at rest undergoes spontaneous alpha decay. The original nucleus disappears, and two new particles appear: a He-4 nucleus of mass 6.640678 × 10−27 kg (an alpha particle consisting of two protons and two neutrons) and a new nucleus of mass 3.952926 × 10−25 kg. These new particles move far away from each other, because they repel each other electrically (both are positively charged). Because the calculations involve the small difference of (comparatively) large numbers, you need to keep seven significant figures in your calculations, and you need to use the more accurate value for the speed of light, 2.9979246e8 m/s. Choose all particles as the system. Initial state: Original nucleus, at rest. Final state: Alpha particle + new nucleus, far from each other.

Part 1 (a) What is the rest energy of the original nucleus? (Round your answer to seven significant figures.) J the tolerance is +/-2%

Part 2 (b) What is the sum of the rest energies of the alpha particle and the new nucleus? (Round your answer to seven significant figures.) J the tolerance is +/-2%

Part 3 (c) Did the portion of the total energy of the system contributed by rest energy increase or decrease? decrease The total rest energy is unchanged. increase

Part 4 (d) What is the sum of the kinetic energies of the alpha particle and the new nucleus?

Calculate (in MeV) the binding energy per nucleon for 14N.

Calculate (in MeV) the binding energy per nucleon for 56Fe.

Calculate (in MeV) the binding energy per nucleon for 207Pb.

A resistor of resistance R and a capacitor of capacitance C are connected in series to an EMF of voltage E. A switch is set to the open position and the capacitor is initially uncharged. The switch is then closed. Show that when the capacitor charges that half of the energy drawn from the EMF is dissipated in the resistor and that half of the energy is stored in the capacitor.

A merry-go-round rotates from rest with an angular acceleration of 1.11 rad/s2. How long does it take to rotate through (a) the first 1.85 rev and (b) the next 1.85 rev?

Please include an explanation

A helicopter lifts a 75.0 kg astronaut 14.2 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10.
A) How much work is done on the astronaut by the force from the helicopter?
B)How much work is done on the astronaut by the gravitational force on her?
C)Just before she reaches the helicopter, what is her kinetic energy?
D) And just before she reaches the helicopter, what is her speed?

Question 1 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

Is it possible that the two electric and magnetic forces between the wires cancel out?

Question 1 options:

Question 2 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the electric force between the two wires?

Question 2 options:

Question 3 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the strength of the magnetic force per unit length between the two wires?

Question 3 options:

Question 4 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the magnetic force between the two wires?

Question 4 options:

Question 5 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

How fast would the speed need to be so that the magnitude of the electric force equals the magnitude of the magnetic force between the two wires?

Question 5 options:

Question 6 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the magnitude of the magnetic field in the middle between the two wires?

Question 6 options:

Question 7 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the electric field magnitude in the middle between the 2 wires?

Question 7 options:

Question 8 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the magnetic field half-way between the two wires (in the middle section of the wires)?

Question 8 options:

Question 9 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the electric field direction halfway between the two wires?

Question 9 options:

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Question 1 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

Is it possible that the two electric and magnetic forces between the wires cancel out?

Question 1 options:

Question 2 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the electric force between the two wires?

Question 2 options:

Question 3 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the strength of the magnetic force per unit length between the two wires?

Question 3 options:

Question 4 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the magnetic force between the two wires?

Question 4 options:

Question 5 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

How fast would the speed need to be so that the magnitude of the electric force equals the magnitude of the magnetic force between the two wires?

Question 5 options:

Question 6 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the magnitude of the magnetic field in the middle between the two wires?

Question 6 options:

Question 7 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the electric field magnitude in the middle between the 2 wires?

Question 7 options:

Question 8 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. For the question pick all the right answers (there can be more than one correct answer).

What is the direction of the magnetic field half-way between the two wires (in the middle section of the wires)?

Question 8 options:

Question 9 (1 point)

We have two very long wires, which are parallel to each other pointing to the right in front of us. The pair of wire is horizontal. The wire closest to us carries a charge per unit length of 1mC/m and the other the opposite charge. The two wires are 1m apart and both move together at 100m/s along the wire to the right. We are looking at what happens in the middle region of the two wires (not the end). For the question pick all the right answers (there can be more than one correct answer).

What is the electric field direction halfway between the two wires?

Question 9 options:

5.) A ballistic pendulum consists of a 10 gram projectile striking and sticking to a 1.5 kg mass. Both objects then rise 2.5 cms. A.) Calculate the velocity of the pendulum and projectile (stuck together) after the collision. B.) Determine the initial speed of the projectile as it hits the 1.5 kg mass. C.) How much non-conservative work was done during the process?

In the figure, a parallel-plate capacitor is being discharged by a current ? = 5.0 ?. The plates are square with edge length
? = 8.0 ??.

1. (a) What is the displacement current ?! and displacement current density ?! (current per unit of area) in the air space between the plates?

2. (b) What is the rate at which the electric field between the plates is changing?

3. (c) What is the value of ? ∙ ?? around the dashed path, where ? = 2.0 ?? and ? =3.0 ???

Problem 1a: Velocity Selector: Show that with the right ratio of electric to magnetic field strength a particle of velocity v will proceed through both fields in a straight line at constant speed (hint: you will need an equation containing v. Also: what does the straight line at constant speed give you?). Assume that the angle of the velocity vector relative to the magnetic field vector is 90 degrees.

b: Show mathematically that the charge magnitude and sign do not matter.

c: Draw and label the electric field vector, the electric force vector, the magnetic field vector, the velocity vector and the magnetic force vector. Hint: start with the two force vectors. They have to add to zero. Then use the vector nature of the Eq = F(E) equation and the right hand rule to get the other vectors.) Assume that the particle is negatively charged. Use into and out of the page vector notation where necessary.

d. Explain in terms of what happens with the force vectors when the charge sign changes to allow a particle of either charge sign pass through the velocity selector at constant velocity v. In other words, explain physically why the particle charge sign makes no difference.

e. Explain in terms of what happens with the force vectors when the charge magnitude changes. In other words, explain physically why the charge magnitude makes no difference in the velocity selector.

A circular ring of radius R with a total charge 2Q uniformly distributed along its circumference lies in the x y plane with its center at the origin.

(a) Find the electric field at a point with coordinates (0, 0, z0). Show all steps in your calculation. Don’t forget to represent the field in vector form - magnitude and direction!

(b) Find the locations along the z axis where the electric field has its largest values (don’t forget that because of the symmetry of the situation, there are two points where the field has it’s largest magnitude).

A pendulum consists of a 3.0 kg stone swinging on a 4.4 m string of negligible mass. The stone has a speed of 8.1 m/s when it passes its lowest point. (a) What is the speed when the string is at 58 ˚ to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system?

A flea is able to jump straight up about 0.52 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into gravitational potential energy (with some steps in between). The maximum force exerted by a muscle is proportional to its cross-sectional area, and the work done by the muscle is this force times the length of contraction. If we magnified a flea by a factor of 1040, the cross section of its muscle would increase by 1040² and the length of contraction would increase by 1040. How high would this "super flea" be able to jump? (Don't forget that the mass of the "super flea" increases as well.)

in meters

How does hockey equipment (helmets, neck guard, mouth guard, padding & skates) for injury prevention relate to clinical biomechanics?

A father racing his son has half the kinetic energy of the son, who has two-fifths the mass of the father. The father speeds up by 3.0 m/s and then has the same kinetic energy as the son.