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vladimir2022 [97]
3 years ago
12

Which of the following statements is correct about the force of gravity between two objects? (a)It depends on the shape of the o

bjects. (B) It is weaker when the objects are closer. (C) It depends on the temperature of the objects. (D) It is stronger when the objects are closer.
Physics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

(D) It is stronger when the objects are closer.

Explanation:

Newton's universal law 9f gravitation

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An above ground swimming pool of 30 ft diameter and 5 ft depth is to be filled from a garden hose (smooth interior) of length 10
STALIN [3.7K]

This question involves the concepts of dynamic pressure, volume flow rate, and flow speed.

It will take "5.1 hours" to fill the pool.

First, we will use the formula for the dynamic pressure to find out the flow speed of water:

P=\frac{1}{2}\rho v^2\\\\v=\sqrt{\frac{2P}{\rho}}

where,

v = flow speed = ?

P = Dynamic Pressure = 55 psi(\frac{6894.76\ Pa}{1\ psi}) = 379212 Pa

\rho = density of water = 1000 kg/m³

Therefore,

v=\sqrt{\frac{2(379212\ Pa)}{1000\ kg/m^3}}

v = 27.54 m/s

Now, we will use the formula for volume flow rate of water coming from the hose to find out the time taken by the pool to be filled:

\frac{V}{t} = Av\\\\t =\frac{V}{Av}

where,

t = time to fill the pool = ?

A = Area of the mouth of hose = \frac{\pi (0.015875\ m)^2}{4} = 1.98 x 10⁻⁴ m²

V = Volume of the pool = (Area of pool)(depth of pool) = A(1.524 m)

V = [\frac{\pi (9.144\ m)^2}{4}][1.524\ m] = 100.1 m³

Therefore,

t = \frac{(100.1\ m^3)}{(1.98\ x\ 10^{-4}\ m^2)(27.54\ m/s)}\\\\

<u>t = 18353.5 s = 305.9 min = 5.1 hours</u>

Learn more about dynamic pressure here:

brainly.com/question/13155610?referrer=searchResults

7 0
3 years ago
Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 14.0 m/s toward the east and the
Sergeeva-Olga [200]

Answer:

kqwwwwj

Explanation:

4 0
3 years ago
A girl runs 40m due south in 40 seconds an d then 20m due north in 10 secondsCalculate.
m_a_m_a [10]

Answer:

Average speed = 1.2 m/s

Average velocity = 0.4 m/s

Explanation:

Average speed = total distance/total time

Average speed = (40 + 20)/(40 + 10)

Average speed = 60/50

Average speed = 1.2 m/s

Average velocity = displacement/time

Now, she ran 40 m south and ran 20 m back north which is in the direction of where she began the journey.

Thus;

Displacement = 40 - 20 = 20 m

Average velocity = 20/50 = 0.4 m/s

3 0
3 years ago
Part of understanding the physical effects on Mars, we must understand
Ber [7]

Answer:

so easy add the subtract then multiplay the add

Explanation:

8 0
3 years ago
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only
alexira [117]

Answer:

The answer is "2.352 \ \frac{m}{s}"

Explanation:

\to mass(m_1)=102 \ kg\\\\\to  mass(m_2)=10 \ kg \\\\\to v=2.10\ \frac{m}{s}\\\\

momentum before:

\to p=(m_1+m_2)v

       =(102+10)2.10\\\\=(102\times 2.10 +10 \times 2.10)\\\\=214.2+21\\\\=235.2

momentum After:

\to p=(m_1+m_2)v

       =(102\times 0 +10 \times v)\\\\ =(0 +10v)\\\\=10v\\

Calculating the conservation of momentum:

\to \text{momentum before = momentum After}

\to 235.2=10v\\\\\to v= \frac{235.2}{10}\\\\ \to v=2.352 \ \frac{m}{s}

3 0
3 years ago
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