A solid, homogeneous sphere with a mass of m₀, a radius of r₀ and a density of ρ₀ is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases. (So for each, pick either r, s, or f- or a combo.. thank you)

1. The new sphere has a density of ρ = ρ₀ and a mass of m < m₀.
2. The new sphere has a density of ρ = ρ₀ and a radius of r < r₀.
3. The new sphere has a mass of m = m₀ and a radius of r > r₀.

4. The new sphere has a density of ρ < ρ₀ and a radius of r = r₀.
5. The new sphere has a mass of m = m₀ and a radius of r < r₀.
6. The new sphere has a mass of m > m₀ and a radius of r = r₀.

7. The new sphere has a radius of r < r₀ and a mass of m > m₀.
8. The new sphere has a radius of r < r₀ and a density of ρ > ρ₀.
9. The new sphere has a mass of m > m₀ and a density of ρ < ρ₀.

Movers push an 80 kg trunk at 1.0 m/s when they encounter a 2.5 m long stretch of floor where the coefficient of kinetic friction is 0.30. During this stretch of floor, the movers push the trunk with a steady force of 220 N.

a. Determine the net force along the direction of motion

b. Determine the net work done on the trunk

c. Using the work-energy theorem, determine the speed of the trunk at the end of the 2.5 m stretch.

Please show your work clearly and write step by step solution including numeric substitutions and etc. To make it easier, please do this in paper and include the pictures. thanks

Two astronauts float in deep space, at rest relative to each other. Including the equipment they carry, the first astronaut has total mass 521 kg and the second astronaut has total mass 615 kg. The first astronaut throws a 656 kg box of tools at 4.66, and the second astronaut catches the box. After the throw and catch: find the speed of one astronaut relative to the other, in m/s.

In a women's 100-m race, accelerating uniformly, Laura takes 1.84 s and Healan 2.93 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s.

(a) What is the acceleration of each sprinter?

(b) What are their respective maximum speeds

(c) Which sprinter is ahead at the 5.50-s mark, and by how much?

---Select--- Laura Healan is ahead by  m.

(d) What is the maximum distance by which Healan is behind Laura?
m

At what time does that occur?
s

In a physics lab experiment, a compressed spring launches a 30 gmetal ball at a 25 ∘ angle. Compressing the spring 19 cm causes the ball to hit the floor 1.7 m below the point at which it leaves the spring after traveling 6.0 m horizontally.

What is the spring constant?

A small object with mass mm = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x)=−αx2+βx3 where α = 4.50 J/m2 and β = 0.300 J/m3. The object is released from rest at small x.

1-When the object is at x = 4.00 m, what is its speed?

Express your answer with the appropriate units.

2-When the object is at x = 4.00 m, what is the magnitude of its acceleration?

Express your answer with the appropriate units.

3-What is the maximum value of x reached by the object during its motion?

Express your answer with the appropriate units.

A solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at angle  = 30o . a. What is the linear speed and the angular speed of the cylinder about its center as it leaves the roof? b. The roof’s edge is at height H = 5.0 m. How far horizontally from the roof’s edge does the cylinder hit the level ground?

A cue ball traveling at 3.81 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of 30.0° with its original direction of travel.

(a) Find the angle between the velocity vectors of the two balls after the collision.
  ______°

(b) Find the speed of each ball after the collision.

Find the fractional energy loss for a 20-keV X-ray scattered from an electron at angle 180 and compare with 2E/E0. (b) Find the final energy for a 10-MeV gamma ray scattered from an electron at 180 and compare with E0/2.

3/ Imagine a wire sticking out of center of a clock. If there is current in the wire that is traveling out of the face of the clock, towards you, what is the direction of the magnetic field created by the current?

Select one:

a. Clockwise

b. Counter-clockwise

c. Upward (from the 6 to the 12)

d. Downward (from the 12 to the 6)

e. In the same direction as the current (toward you)

4/ A magnetic field points to the right across your computer screen. If a positive charge is moving to the left across your computer screen, what is the direction of the force on the charge from the magnetic field?

Select one:

a. Up the screen

b. Down the screen

c. To the right

d. To the left

e. Out of the screen

f. Into the screen

g. There is no force

5/ A current moving in a long, straight wire creates a magnetic field. How does the magnetic field change if the current were moving in the opposite direction through the wire?

Select one:

a. There would be no magnetic field.

b. The magnetic field changes direction also.

c. The magnetic field becomes stronger.

d. The magnetic field becomes weaker.

e. The magnetic field would not change.

6/ At the Large Hadron Collider at CERN, protons travel at nearly the speed of light in a large circle. The protons are pushed in this circle by magnetic fields. What does the direction of the magnetic fields have to be so that the protons travel clockwise when looking at their path from space?

Select one:

a. The magnetic field points clockwise

b. The magnetic field points counterclockwise

c. The magnetic field points into the ground

d. The magnetic field points out of the ground

e. The magnetic field points towards the north.

7/ Which of the follow can the magnetic force can change about a moving charged particle? Select all correct answers.

Select one or more:

a. The speed of the particle

b. The direction the particle moves in

c. The charge of the particle

d. The mass of the particle

e. The velocity of the particle

8/ In a region of space, a magnetic field points north and an electric field points west. An electron moving at a certain velocity feels no net force when traveling through this region. If a proton moves with exactly the same velocity as the electron (speed and direction), what can you say about the force on the proton?

Select one:

a. Both the electric force and the magnetic force will change direction, so there will also be no net force on the proton.

b. The magnetic force on the proton will become larger than the electric force - so the proton will feel a net force.

c. The magnetic force on the proton will become smaller than the electric force - so the proton will feel a net force.

d. Only the magnetic force will change direction, so the proton will feel a force.

e. Only the electric force will change direction, so the proton will feel a force.

9/ A current carrying wire in a magnetic field feels an eight Newton force to the right. How does the force change if the length of wire inside the field is reduced by half?

Select one:

a. The magnitude of the force becomes two Newtons. The direction does not change.

b. The force does not change.

c. The magnitude of the force becomes four Newtons. The direction does not change.

d. The magnitude of the force becomes sixteen Newtons. The direction does not change.

e. The force stays the same magnitude, but changes direction.

10/ Coil A contains 8 loops of wire and has an area of 4 square meters. Coil B has 16 loops of wire and has an area of 2 square meters. If the coils have the same current and are arranged the same inside a magnetic field, which coil experiences a larger torque?

Select one:

a. Coil A because it has a larger area

b. Coil A because it has fewer loops of wire.

c. Coil B because it has a smaller area.

d. Coil B because it has more loops of wire.

e. They experience the same torque.

A spherical source radiates sound uniformly in all directions. At a distance of 13 m, the sound intensity level is 98 dB. What power is radiated by this source?

Answer 3 significant figures In W

The intensity levels of two people's speech are 62.5 dB and 66.5 dB, respectively. What is the intensity level of the combined sounds?
Answer 3 significant figures in dB

A person standing a certain distance from seventeen identical loudspeakers is hearing a sound level intensity of 127 dB. What sound level intensity would this person hear if seven are turned off?

Answer 3 significant figures in dB

An Escort and a Camaro traveling at right angles collide and stick together. The Escort has a mass of 1200 kg and a speed of 20 km/h in the positive x direction before the collision. The Camaro has a mass of 1500 kg and was traveling in the positive y direction. After the collision, the two move off at an angle of 57 ^o to the x axis. What was the speed of the Camaro?(in km/h)

When resistors 1 and 2 are connected in series, the equivalent resistance is 22.2 Ω. When they are connected in parallel, the equivalent resistance is 4.39 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?