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3 years ago

What is the average velocity of the object between 14 and 22 seconds?

Physics

1 answer:

Slav-nsk [51]3 years ago

4 0

-1.1m/s

Explanation:

Work out which of the displacement (S), initial velocity (U), acceleration (A) and time (T) you have to solve for final velocity (V). If you have U, A and T, use V = U + AT. If you have S, U and T, use V = 2(S/T) - U.

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A container with volume 1.83 L is initially evacuated. Then it is filled with 0.246 g of N2. Assume that the pressure of the gas

alisha [4.7K]

Answer:

The pressure is $P = 1652 \ Pa$

Explanation:

From the question we are told that

The volume of the container is $V = 1.83 \ L = 1.83 *10^{-3 } \ m^3$

The mass of $N_2$ is $m_n = 0.246 \ g = 0.246 *10^{-3} \ kg$

The root-mean-square velocity is $v = 192 \ m/s$

The root -mean square velocity is mathematically represented as

$v = \sqrt{ \frac{3 RT}{M_n } }$

Now the ideal gas law is mathematically represented as

$PV = nRT$

=> $RT = \frac{PV}{n }$

Where n is the number of moles which is mathematically represented as

$n = \frac{ m_n }{M }$

Where M is the molar mass of $N_2$

$RT = \frac{PVM_n }{m _n }$

=> $v = \sqrt{ \frac{3 \frac{P* V * M_n }{m_n } }{M_n } }$

=> $v = \sqrt{ \frac{ 3 * P* V }{m_n } } }$

=> $P = \frac{v^2 * m_n}{3 * V }$

substituting values

=> $P = \frac{( 192)^2 * 0.246 *10^{-3}}{3 * 1.83 *10^{-3} }$

=> $P = 1652 \ Pa$

3 0

3 years ago

An aircraft flying at a steady velocity of 70 m/s eastwards at a height of 800 m drops a package of supplies.

iren2701 [21]

The motion of the package can be described as the motion of a projectile,

given that it has an horizontal velocity and it is acted on by gravity.

a) $\vec{v}$ = 70·i

b) The package will reach ground in approximately 12.77 seconds.

c) The speed of the package as it lands is approximately 145.51 m/s.

d) The path of the package based on a stationary frame of reference is parabolic

e) The path of the package as seen from the plane is directly vertical downwards

Reasons:

Velocity of the aircraft = 70 m/s

Direction of flight of the aircraft = Eastward

Height from which the aircraft drops the package, h = 800 m

a) The initial velocity of the package, $\vec{v}$ = 70·i

b) The time it will take the package to reach the ground, t, is given by the formula;

$\displaystyle h = \mathbf{\frac{1}{2} \cdot g \cdot t^2}$

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

$\displaystyle t = \mathbf{\sqrt{ \frac{2 \cdot h}{g} }}$

Which gives;

$\displaystyle t = \sqrt{ \frac{2 \times 800}{9.81} } \approx \mathbf{12.77}$

The time it will take the package to reach the ground, t ≈ 12.77 seconds

c) The vertical velocity just before the package reaches the ground, $v_y$ , is given as follows;

$v_y^2$ = 2·g·h

Therefore;

$v_y$ = √(2·g·h)

Which gives;

$v_y$ = √(2 × 9.81 × 800) ≈ 125.28

$v_y$ ≈ 125.28 m/s

Which gives; $\vec{v}$ = 70·i - 125.28·j

Therefore, |v| = √(70² + (-125.28)²) ≈ 143.51

The speed of the package as it lands, |v| ≈ 143.51 m/s

d) The motion of the package that includes both horizontal and vertical motion is a projectile motion.

Therefore;

The path of the package is the path of a projectile, which is a parabolic shape.

e) As seen by someone on the aeroplane, the horizontal velocity will be

zero, therefore, the package will appear as accelerating directly vertical

downwards.

Learn more about projectile motion here:

brainly.com/question/1130127

6 0

2 years ago

Which rational number could be graphed between 0 and 1?A number line going from negative 5 to positive 3 in increments of 1.Nega

vovikov84 [41]

In order to find which rational number is between 0 and 1, let's convert them into their decimal form:

$\begin{gathered} \text{negative one-half:} \\ -\frac{1}{2}=-0.5 \\ \\ \text{one}-\text{fourth:} \\ \frac{1}{4}=0.25 \\ \\ \text{three}-\text{halves:} \\ 3\cdot\frac{1}{2}=\frac{3}{2}=1.5 \\ \\ 1.75 \end{gathered}$

Looking at the numbers in their decimal form, we can see that the number between 0 and 1 is one-fourth, therefore the correct option is the second one.

7 0

1 year ago

What is the relation between height and energy?

Evgesh-ka [11]

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy. A tripling of the height will result in a tripling of the gravitational potential energy.

4 0

3 years ago

What is the length of x of the side of the triangle below?

Anna [14]

The answer is c. I hope it’s clear

4 0

3 years ago