6X-6=9 Solve for X Round to TWO decimal places

A 74 kg man holding a 13 kg box rides on a skateboard at a speed of 11m/s. He throws the box behind him,giving it velocity of 6

Ivahew [28]

Answer:

After throwing the object the, the velocity of the man is 13.98 m/s

Explanation:

Given:

Let,

mass of man, m1 = 74 kg

mass of box, m2 = 13 kg

Initial velocity u = 11 m/s (initially both are together hence initial velocity will be same for both)

Final velocity of man = v1

Final velocity of box = v2 = -6 m/s (the velocity is recoil velocity therefore it is negative)

To Find:

Final velocity of man,after throwing the object = v1 = ?

Solution:

Recoil velocity:

It is the backward velocity experienced.

Here recoil velocity is the backward velocity experience while throwing the box behind.Hence the velocity of the box is negative 6 m/s.

The recoil velocity is the result of conservation of linear momentum of the system. Therefore we will follow the law of conservation of momentum.

Law of conservation of momentum :

Total momentum of an isolated system before collision is always equal to total momentum after collision

$\textrm{total momentum before collision}=\textrm{total momentum after collision}\\m_{1}\times u+ m_{2}\times u=m_{1}\times v_{1}+m_{2}\times v_{2}$

substituting the values which are given above we get

$74\times 11 + 13\times 11 = 74\times v_{1} +13\times -6\\ 957 = 74\times v_{1} -78\\v_{1}=\frac{1035}{74} \\v_{1}=13.98\ m/s$

Therefore, After throwing the object the, the velocity of the man is 13.98 m/s

3 0

3 years ago

Using arrangement (a), how many rb atoms could be placed on a square surface that is 9.5 cm on a side? the diameter of a rubidiu

Leviafan [203]

Part a

Answer: $3.64\times10^{16}$

For the arrangement considered in part a, all the atoms are aligned side by side along the side of the square surface.

Along one side of the square, the number of atoms that could fit $=\frac {length\hspace{1mm}of\hspace{1mm}side}{diameter\hspace{1mm}of\hspace{1mm}atom}=\frac{9.5\times10^{-2}m}{4.95\times10^{-10}m}=1.91\times10^8 atoms$

This is along one side. On the entire surface:

Number of atoms $= (1.91\times10^8 )^2=3.64\times10^{16} atoms$

Part b

Answer: $4.23\times10^{16}$

consider the attached figure below:

The next layer of atoms are filled in the depressions of the first layer. The vertical distance between the two atoms would change. Consider an equilateral triangle drawn by joining the centers of the three atoms.

The atoms along the horizontal side would be aligned side by side; same as above $=1.91\times10^8 atoms$

The number of atoms along vertical side would vary. vertical distance between two atoms can be calculate using equilateral triangle as shown below.

an equilateral triangle has all the angles $= 60^o$

Let the vertical distance be y.

Then, $y = 2r sin60^o$

where r is the radius of each atom. $2r= 4.95\times10^{-10} m$

$y=4.95\times10^{-10} m\times sin60^o=4.28\times10^{-10} m$

The number of atoms along the vertical side $= \frac{9.5\times10^{-2}m}{4.28\times10^{-10}m}=2.21\times10^8 atoms$

Total number of atoms in this kind of arrangement $= 1.91\times10^8\times2.21\times10^8=4.23\times10^{16} atoms$

6 0

2 years ago

What components of a gas powered car are present in a hybrid? What components of an electric car or present in a hybrid? Interio

rosijanka [135]

I don't know how to anwser this but and gas hybrid uses and gas powered motor so tiny explosions inside of the cyiliders but the electric car uses and electric motor powered by a simple battery...I still don't know if this is correct....

4 0

3 years ago

The resolution of a camera or other optical system is determined by the relationship between what two scales?

devlian [24]

Answer:

d.The wavelength of light and the size of the aperture

Explanation:

The resolution power of an optical system is the smallest distance between two points that the device can distinguish clearly.

It has the following relationship:

$r=\frac{\lambda}{2n}$

where:

r = minimum resolvable distance

n = numerical aperture

$\lambda$ = wavelength of the light used for viewing

From above mathematical equation it is clear that:

Smaller the wavelength better the resolving power
Larger the aperture better the resolution

(Note, that smaller the value of "r" the more finer details of the image visible through the device.)

4 0

2 years ago

What dictates the minimum and maximum pressure allowed for plumbing fixtures?

DENIUS [597]

The answer is: the building codes, which are a set of rules that regulate the conditions that a building must meet. Those requirements are very important to guarantee safety of both the people who are building it and the people who are going to work or live inside of the building in the future

8 0

3 years ago

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