A small solid sphere of mass M₀, of radius R₀, and of uniform density ρ₀ is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.

The new sphere has mass M = M₀ and radius R > R₀
The new sphere has radius R = R₀ and density ρ > ρ₀
The new sphere has radius R < R₀ and mass M = M₀
The new sphere has mass M < M₀ and density ρ = ρ₀
The new sphere has density ρ < ρ₀ and radius R > R₀
The new sphere has density ρ = ρ₀ and mass M > M₀

9.) The 17 kg shopping cart carries a 73 kg child. The shopping cart wheel base b = 480 mm and its vertical CG is symmetrically located 580 mm above the floor surface. The child remains centered symmetrically between the cart wheels with her vertical CG located 750 mm above the floor surface. Determine (a) location above the floor of the vertical CG of the cart + child in mm and (b) the tipping angle in degrees.

A transmission wire oriented parallel to the x-axis carries a current of 200 A flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of 1.30 m below the first wire carries a current of 215 A flowing along the +x direction. What is the magnitude of the total magnetic field at a point 2.3 m directly below a point midway between the two wires?

What is the direction of the net magnetic field?

transmission wire oriented parallel to the x-axis carries a current of   200 A    flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of   1.30 m    below the first wire carries a current of   215 A     flowing along the +x direction. If the location where the net magnetic field is zero is at perpendicular distance  X from the first wire, what is X ?

A transmission wire oriented parallel to the x-axis carries a current of   200 A    flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of   1.30 m     below the first wire carries a current of   215 A    flowing along the -x direction. What is the magnitude of the total magnetic field at a point   2.3 m    directly above a point midway between the two wires?

#5.Which experiment that we did do you think was the most prone to random error, and which do you think was most prone to systematic error? Why was that the case for those experiments?

Explain why lasers can be used to perform surgery and cut through metal while incandescent light cannot.

1a. What would be the effect on your calculations of specific heat of the metal if there was heat lost while transferring the metal? Explain why. 1b. What would be the effect on your calculation of specific heat of the metal if the metal you heated was wet, and contained 2% water by weight when you poured it into the calorimeter? Explain why. 1c. What would be the effect on your calculations on specific heat of the metal if you didn't wait until the final mixture reached equilibrium temperature? Explain why. 1d. What would be the effect on your calculations of specific heat of the metal if you read the temperature too high? Explain why.

Besides the gravitational force, a 2.50-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (5.40î − 3.30ĵ) m, where the direction of ĵ is the upward vertical direction. Determine the other force.

a. Compute the energy of a photon with incident energy 200 kev scattered at 90°

in a Compton event.

b. Compute the energy of the backscattered photon from a 400 kev incident

photon.

c. Compute the energy of the recoil electron.

QUESTION 1

Engineers wish to launch a satellite from the surface of the Moon. What is the minimum speed the satellite must have to escape the Moon’s gravity – that is, what is the escape velocity at the surface of the Moon? The Moon has a mass of 7.3x10^22 kg and a radius of 1.7x10^6 m.

10 points   

QUESTION 2

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s gravitational acceleration due to the Sun, which has a mass of 2.0x10^30 kg?

10 points   

QUESTION 3

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s speed?

10 points   

QUESTION 4

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s gravitational potential energy if it has a mass of 200 kg? The Sun has a mass of 2.0x10^30 kg.

10 points   

QUESTION 5

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). The satellite is the stopped using orbital thrusters and allowed to fall to the Sun. What is the satellite’s speed when it reaches the surface of the Sun? The Sun has a mass of 2.0x10^30 kg and a radius of 7.0x10^8 m.

Hint: Use energy conservation. First consider the potential energy when it is at the Earth’s orbit, then equate this to the sum of the potential energy at the surface of the sun and the kinetic energy at the surface of the sun.

Internal Resistance of a battery lab

I'm doing this lab where we have to find the internal resistance of a charged and uncharged battery. We got our data by plotting a V vs I graph, and found the internal resistance of each battery using the slopes of the graphs. From my graphs, I can see that the internal resistance of the charged battery is higher than that of the uncharged one. Which makes sense. However, I'm having a hard time writing the conclusion for this lab. The current increases as the voltage decreases for both batteries, which is obvious, what else am I supposed to say? Any comments I can add?

As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two cultures of these bacteria are prepared, each consisting initially of one bacterium. One culture is left on earth and the other placed on a rocket that travels at a speed of 0.746c relative to the earth. At a time when the earthbound culture has grown to 32 bacteria, how many bacteria are in the culture on the rocket, according to an earth-based observer? Please explain each step and use (delta)t = (delta)to/sqrt(1-(v^2/c^2))

A bicycle tire is spinning counterclockwise at 3.10 rad/s. During a time period Δt = 2.40 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.10 rad/s. Calculate the change in the tire's angular velocity Δω and the tire's average angular acceleration α_av. (Indicate the direction with the signs of your answers.)

(a) the change in the tire's angular velocity Δω (in rad/s)

(b) the tire's average angular acceleration α_av (in rad/s²)

(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 80.0 rev/min in 3.60 s?
------m/s²

(b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug?
------- m/s

(c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration?
----------m/s²

(d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?
--------- m/s²

(e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.)

A 1 mole, 293 K gas expands isothermally, starting at 22.4 L in volume. What is its final volume? Only solve with variables, not numarically.