What is the symbol for displacement

Anuta_ua [19.1K]

The pressure law states: "For a fixed mass of gas, at a constant volume, thepressure<span> (p) is directly proportional to the absolute temperature (T)."</span>

3 0

3 years ago

A raft is made of 12 logs lashed together. Each is 45 cm in diameter and has a length of 6.5 m. How many people can the raft hol

tatyana61 [14]

Answer:

324 people

Explanation:

radius r = diameter / 2 = 45cm /2 = 22.5 cm or 0.225 m

We can calculate the total volume of the log by computing the volume of each cylindrical log:

$V = \pi r^2 L = \pi 0.225^2 * 6.5 = 4.6 m^3$

So the total volume of all 12 logs is

$12 * 4.6 = 55.135 m^3$

The weight that the raft can support, is the buoyancy force subtracted by its own weight.

The buoyancy force is basically the weight of the water is displaced, which is water density times volume. The log weight is also log density times its volume

$F = F_b - F_w = g\rho_wV - g\rho_rV = gV(\rho_w - \rho_r)$

where $\rho_w = 1000kg/m^3,\rho_r$ are the density of water and raft, respectively. But since we have the specific gravity of wood is 0.6. That measn

$\rho_r / \rho_w = 0.6$

$\rho_r = 0.6\rho_w$

Therefore $\rho_w - \rho_r = \rho_w - 0.6\rho_w = 0.4\rho_w = 0.4*1000 = 400 kg/m^3$

Let g = 9.8m/s2. We can now calculate the force that the raft can support

$F = gV(\rho_w - \rho_r) = 9.8*55.135*400=216129.2N$

Each person has a mass of 68kg, their weight would be

W = 68*g = 68*9.8 = 666.4N

So the maximum number of people that the raft can hold is

F / W = 216129.2 / 666.4 = 324 people

3 0

4 years ago

WHICH IS THE HARDEST SUBSTANCE IN EARTH?

PIT_PIT [208]

Diamond is the hardest naturally occurring substance found on Earth.

8 0

3 years ago

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A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension withou

Lemur [1.5K]

Answer: The answer is 13.02 meter

Explanation: your question is incomplete, the complete question is this if A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has a density of

7750kg/m3 and will break if the tensile stress exceeds 7.0×108N/m2.

You want to make a guitar string from a mass of 4.5 g of this type of steel. In use, the guitar string must be able to withstand a tension of 900 N without breaking. Your job is the following.

(a) Determine the maximum length the string can have

Answer:

As we know that density(p)= mass(m)/volume(V)

Solve for volume(V)= mass/density

If the given mass value is in gram then we have to divide it by 1000 to get the value in kilogram so our mass in kg will be 3.7/1000= 0.0037 kg

And if density is in kg/m^3

Then volume will be V= 0.0037/7730 =>

4.79^10-7m^3

Now we know that stress = Force/Area

For Area = force/stress => 900/7*10^8=> 2795.95m^2

For length= volume/Area => 4.79^10-7/2795.95

Length= 13.02 m

4 0

4 years ago

What would MOST LIKELY happen if the amount of incoming solar energy decreased without a change in the amount of reflection or o

777dan777 [17]

<h2><u><em>Well, you see, that depends. </em></u></h2><h2><u><em>The firsy thing we have to tak intp account is the angle at witch the sun's rays hit the earth, and that fact can make all the difference, seeing as it does discriminate against seasons. It's more likely that i the winter, a more drastic effect would talk.</em></u></h2><h2 /><h2 /><h2 /><h2>oωo</h2>

8 0

3 years ago

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