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Juli2301 [7.4K]
3 years ago
10

The centers of two 15.0 kg spheres are separated by 3.00 m. The magnitude of the gravitational force between the two spheres is

approximately what?
A) 1.11 × 10^-10 N
B) 3.34 × 10^-10 N
C) 1.67 × 10^-9 N
D) 5.00 × 10^-9 N
Physics
1 answer:
kompoz [17]3 years ago
7 0
 we have to use newtons law of gravitation which is
F=GMm/r^2 
G=6.67 x 10^<span>-11N kg^2/m^2
</span>M=<span>(15kg)
</span>m=15 kg
r=(3.0m)^2<span> 
</span>putting values we have 
<span>=(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2 </span>
=1.67 x 10^-9N 
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The mass of a sample of sodium bicarbonate is 2. 1 kilograms (kg). There are 1,000 grams (g) in 1 kg, and 1 Times. 109 nanograms
slega [8]

2.1 kg of sodium bicarbonate is equal to the 2.1 x 10¹² ng of sample. Option D is correct.

Mass is the quantity of the substance in the body or object. The SI unit of mass is Kilogram.

There are other units of measure,

  • Milligram: 1 g is equal to the \bold {10^3 \ mg}
  • Micro-gram: 1 g is equal to \bold {10^{6} \ \mu g}
  • Nano-gram: 1 g is  is equal to\bold {10^{9} \ ng}

First convert kg to gram,

Since, 1 Kg = 1000 g

2.1 kg = grams of sample

So,

Do the cross multiplication,

\rm mass\ of\ sample = \dfrac {2.1\ kg \times  1000\ g }{ 1 kg}\\\\\rm mass\ of\ sample =2100 g

Now, convert 2100 g to nano-grams

Since, 1 g = 1 x 10⁹ ng

2100 g = ng of sample

So,

Do the cross multiplication,

\rm mass\ of\ sample  = \dfrac {2100 g \times  1 \times  10^9 ng }{1\ g}\\\\\rm mass\ of\ sample  = 2.1 \times 10^1^2 ng

Therefore, 2.1 kg of  sodium bicarbonate is equal to the 2.1 x 10¹² ng of sample.

To know more about Mass units,

brainly.com/question/489186

3 0
3 years ago
For a huge luxury liner to move with constant velocity, its engines need to supply a forward thrust of 7.45 105 N. What is the m
ehidna [41]

Answer:

<em>7.45 10^5N.</em>

Explanation:

according to newtons second law of motion;

\sum F_x = ma_x\\F_{app} - F_r = ma_x

Fapp is the applied force

Fr is the resistive force

m is the mass of the luxury

a is the acceleration

Since the huge luxury liner move with constant velocity, then acceleration is zero i.e a = 0. The equation becomes;

F_{app} - F_f = m(0)\\F_{app} - F_f =0\\F_{app} = F_f

This shows that the applied force will be equal to the resistive force if the velocity is constant.

Given Fr = 7.45 10^5 N therefore the resistive force will also be 7.45 10^5N.

<em>Hence the magnitude of the resistive force exerted by the water on the cruise ship is 7.45 10^5N.</em>

8 0
3 years ago
You decide it is time to clean your pool since summer is quickly approaching. Your pool maintenance guide specifies that the chl
kotykmax [81]

Answer:

Concentration of Cl2: 1,048 ppm

Explanation:

The unit of measurement molarity (M) represents the same magnitud as mole/L (number of moles of the substance in one liter of solution). The concentration in ppm represents the same as mg/L (number of miligrammes of the substance in one liter of solution). In order to convert from M to ppm we have to consider, then, mass and volume. We can see that in both cases the volume is expressed in liters, so we don't have to do anything to change it. The problem comes when you see that you have to convert moles, from the molatiry, to miligrammes, to get the result in mg/L, meaning ppm.

First of all, notice that the substance is Cl2, so we need to find a relationship between the number of moles and its mass. If you look in the periodic table you'll see that the atomic mass for Cl is 35,4 g/mole (grammes of Cl in one mole). So, there is a way to relate the moles to the mass of the substance and it is represented on the equation below:

mass=mole*atomic mass

We want to find the mass (m) and we know the amount of moles of Cl2 in the solution (moles=2,96x10^-5), so, if we use the values known on the equation above we get that:

m=2,96x10^-5 moles*35,4 g/mole\\ m=1,048x10^-3 g

Remember that these grammes are found in one liter of solution. So, this means we have 1,048x10^-3 g/L. Previously we said that ppm=mg/L, so all that's left to do it to convert grammes to miligrammes:

1 g = 1000 mg

If we multiply both sides by 1,048x10^-3:

1 * 1,048x10^-3 g = 1000 * 1,048x10^-3 mg

1,048x10^-3 g = 1,048 mg

Knowing that this amount of mass was found in one liter, we get that the amount of substance in the solution is:

1,048 mg/L

Knowing that <em>mg/L=ppm</em>, then the concentration of Cl2 in ppm is:

<u>1,048 ppm</u>

4 0
3 years ago
You’re still in a redecorating mood and want to move a 35kg bookcase to a different place in the living room. You exert 58 N on
CaHeK987 [17]

Answer: 0.16

Explanation:

Newton's second law states that the resultant of the forces exerted on the bookcase is equal to the product between the mass (m) and the acceleration (a):

F-F_f = ma

where

F = 58 N is the force applied

Ff is the frictional force

Substituting, we find the frictional force

F_f = F-ma=58 N-(35 kg)(0.12 m/s^2)=53.8 N

The frictional force has the form:

F_f = \mu mg

where \mu is the coefficient of kinetic friction. Re-arranging the formula, we can find the coefficient:

\mu=\frac{F_f}{mg}=\frac{53.8 N}{(35 kg)(9.8 m/s^2)}=0.16

4 0
4 years ago
Elements that typically give up electrons CHECK ALL THAT APPLY
lys-0071 [83]

Answer:

B. have a lower ionization energy

D. are metals

Explanation:

An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such determines or defines the structure of a chemical element.

Generally, atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.

In Chemistry, electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.

Valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.

Valency can be defined as a measure of the combining power of a chemical element with other atoms to form a molecule or chemical compound.

Typically, valency is measured by the amount of hydrogen atoms that a chemical element can combine with or displace to form a molecule or chemical compound.

Ionization energy can be defined as the minimum energy required to remove or detach an electron from a neutral atom in a gaseous state.

Generally, the ionization energy of chemical elements tend to increase from left to right across a period on the periodic table. This increase is due to the fact that the atomic radius of chemical elements generally decreases across the periodic table, typically from alkali metals (group one elements such as hydrogen, lithium and sodium) to noble gases (group eight elements such as argon, helium and neon) i.e from left to the right of the periodic table. Also, the atomic radius of a chemical element increases down each group of the periodic table, typically from top to bottom (column).

This ultimately implies that, atoms with relatively large atomic radii tend to have a low electron affinity and a low ionization energy.

In conclusion, chemical elements that typically give up electrons are metals because their outermost shell contains excess electrons and have a lower ionization energy.

4 0
3 years ago
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