Atoms gain the same electron configuration as noble gases by

You push downward on a trunk at an angle 25° below the horizontal with a force of If the trunk is on a flat surface and the coef

Sophie [7]

Complete question is;

You push downward on a trunk at an angle 25° below the horizontal with a force of 750N. if the trunk is on a flat surface and the coefficient of static friction between the surface and the trunk is 0.61, what is the most massive trunk you will be able to move?

Answer:

The most massive trunk is about 81.3 kg

Explanation:

I've attached a free body diagram that depicts this question.

Where;

N = normal force on the trunk

m = mass of the trunk

W = weight of the trunk = mg

F = static frictional force

Using equilibrium of force in vertical direction, we obtain;

N = W + 750 Sin25

N = mg + 750 Sin25 - - - - (eq 1)

Now, we are given that Coefficient of static friction: μ = 0.61

static frictional force is given by the formula;

F = μN

Since N = mg + 750 Sin25, we now have;

F = (0.61) (mg + 750 Sin25) - - - (eq 2)

Along the horizontal direction, for the trunk to move, force equation must be;

F = 750 Cos25

Thus, we now have;

750 Cos25 = 0.61(mg + 750 Sin25)

g = 9.81.

So,we now have ;

750 Cos25 = 0.61(m(9.81) + 750Sin25)

750 × 0.9063 = 0.61(9.81m + (750 × 0.4226))

Divide both sides by 0.61;

(750 × 0.9063)/0.61 = 9.81m + 316.95

1114.3 = 9.81m + 316.95

1114.3 - 316.95 = 9.81m

797.35 = 9.81m

m = 797.35/9.81

m = 81.3 kg

7 0

3 years ago

In an incompressible three-dimensional flow field, the velocity components are given by u = ax + byz; υ = cy + dxz. Determine th

Ksivusya [100]

An incompressible flow field F in a 3D cartesian grid with components u,v,w:

F = u + v + w

where u,v,w are functions of x,y,z

Must satisfy:

∇·F = du/dx + dv/dy + dw/dz = 0

We have a field F defined:

F = u+v+w, u = ax+byz, v = cy+dxz

du/dx = a, dv/dy = c

Recall ∇·F = 0:

∇·F = du/dx + dv/dy + dw/dz = 0

a + c + dw/dz = 0

dw/dz = -a-c

Solve for w by separation of variables:

w = ∫(-a-c)dz

w = -az - cz + f(x,y)

f(x,y) is some undetermined function of x and y

The question states that w is not a function of x and y, therefore f(x,y) = 0...

w = -az - cz

8 0

3 years ago

Describe the image of an object that is 38 cm from a concave mirror that has a focal length of 10 cm.

harina [27]

Let's start by using the mirror equation:
$\frac{1}{f}= \frac{1}{d}+ \frac{1}{q}$
where f=10 cm is the focal lenght of the mirror, d=38 cm is the distance of the object from the mirror, while q is the distance of the image from the mirror.
For the sign convention, f is taken as positive for a concave mirror. Therefore, we can solve the equation for q:
$\frac{1}{q}= \frac{1}{f}- \frac{1}{d} = \frac{1}{10 cm}- \frac{1}{38 cm}$
from which we find q=13.6 cm.

The fact that q is positive means that the image is real, so it is on the same side of the object, with respect to the mirror.

Then we can also find the size of the image with respect to the original object. The magnification is given by
$M=- \frac{q}{d} =- \frac{13.6}{38}=-0.36$
The negative sign means that the image is inverted, and the size of the image is 0.36 times the size of the object.

4 0

3 years ago

Rank the pressures from highest to lowest:

n200080 [17]

Answer:

P₃ > P₁ > P₂

Explanation:

To rank pressure of the given situation

a) we know

Pressure at height h below

P = ρ g h

density of salt water, ρ = 1029 kg/m³

P₁ = 1029 x 10 x 0.2

P₁ = 2058 Pa

b) density of fresh water, ρ = 1000 kg/m³

P₂ = 1000 x 10 x 0.2

P₂ = 2000 Pa

c) density of mercury, ρ = 13593 kg/m³

P₃ = 13593 x 10 x 0.05

P₃ = 6796.5 Pa

Rank of Pressures from highest to lowest

P₃ > P₁ > P₂

3 0

3 years ago

The headwater of three different river systems are also found in Wyoming. Identify these three river systems.

S_A_V [24]

Answer:

The Wind Missouri-Mississippi, The Snake Columbia, and the Green-Colorado drainage.

Explanation:

The wind river ranges of the Wyoming is a major headwaters system of the united states and the rage is home to about 63 glaciers and ten of the largest glacier of the united states are found in this region. The wind river range is about 77% of the area s located in the drainage.

The green river is located in the western united states and forms a green river basin of about 730 miles long and covers much of the Colorado plateaus and the snake river forms in a major area of the Sierra Nevada and the cascade range.

5 0

3 years ago