How is it that ships made largely of steel can float when the density of steel is much higher than the density of water? Why is it possible to make oil tankers much larger than other ships (and what happens when an oil tanker is unloaded?)

Two astronauts, with masses of 60 kg and 80 kg, are initially at rest in outer space. They push each other apart. What is their separation after the lighter astronaut has moved 12 m?
Please provide detailed explanation

A 40lb container of peat moss measures 14x 20x 30 in. A 40lb container of topsoil has a volume of 1.9 gal. Calculate the average densities of peat moss and topsoil in units of g/cm3. Would it be correct to say that peat moss is "lighter" than topsoil? Explain.

A very light rod connects two masses, m1and m2. The rod is to be suspended by a string so that it hangs horizontally. Given that the length of the rod is D = 63.0 cm, find the appropriate position of the string (the distance x, as shown in the figure) for each of the following cases.
(a) m1 = 0.81 ...

Convert to the unit of measure indicated. Take values out to 3 decimal places when appropriate.
4 pounds =______kilograms
25 miles =_______kilometers
1 meter =________millimeters
10 liters =_______quarts
85 kilometers =________centimeters
10 meters =________yards
87 liter =__________millili...

Two blocks, of weights 3.6 N and 7.2 N, are connected by a mass-less string and slide down a 30 degree inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.10; that between the heavier block and the plane is 0.20. Assuming that the lighter block leads, fin...

1) Two spherical bodies have masses of 60 and 80 kg, respectively. Determine the force of gravity acting between them if the distance from center to center of the bodies is 500 mm.
A) 5.34(10**-7) N
B) 0.890(10**-6) N
C) 0.890(10**-6) kN
D) 1.123(10**6) N
2) How many barrels of oil are contai...

A 20.0 kg floodlight in a park is supported at the end of a horizontal beam of mass 20.0 kg and length L that is hinged to a pole (beam and pole are perpendicular). A cable at an angle of 30.0 degrees with the beam helps to support the light.
a) Find the tension in the cable.
b) Find the horizo...

The human visual resolution is 1 minute of arc. Assuming that you are looking down an isolated road at night.
a. at what distance can you distinguish the two headlights of an approaching car?
A one-inch telescope can resolve two points of light 4.5 arc seconds apart.
b. At what dist...

If two light beams are coherent, which of the following is NOT necessary?
a. they must have the same velocity
b. they must have a constant phase differnce at every point in space
c. they must have the same frequency
d. they must have the same wavelength
e. they must have the same amplitude

A light beam composed of red and blue light is incident upon a rectangular glass plate. The light emerges into the air from point P as two separate beams
a. that are parallel, with the red beam displaced below the blue beam.
b. that are not parallel, with the blue beam displaced below the red b...

Consider two uniform solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the large moment of inertia to that of the smaller moment of inertia is
a.10
b.4
c.6
d.2
e.8.

The angular resolution of a 30 meter diameter radio telescope observing a radio signal of 21 centimeters would be X arcseconds,while the angular resolution of the fully dilated human eye,with diameter of about 5 mm, gathering light at an average of 6x10^(-7) meters in wavelength would be Y?

Two parts of a closed container are separated by a membrane which only allows the passage of water. Initially each container holds 5 liters of deionized water. To one side is added 22 grams of chlorine and to the other side is added 15 grams of potassium. Each side has a pressure gauge. Which side w...

A body of mass 10 kg is suspended by a light inextensible string from the roof of a train. Calculate the tension in the string and its inclination to the vertical when the train
A. moves with a fixed velocity of 36 km/h.
B. accelerates at 2 ms-2,
C. decelerates at 6 ms-2

Consider an ideal pendulum consisting of a "bob" of mass m hanging from a light (massless) string of length L. The pendulum swings back and forth in simple harmonic motion (SHM). You may assume that the oscillations are small, so that the motion is "ideal" SHM. Which of the following statements are ...

You live in the ground floor of a high rise apartment block. The over head water tanks which supply water to all the apartments are situated on the rooftop. When water flow through the taps in your apartment is low, you go to inspect the water level in the tank on the rooftop. You check the water ...