Answer:
[tex]R=5.2\ \Omega[/tex]
Explanation:
In series combination, the equivalent resistance is given by :
[tex]R_{eq}=R_1+R_2+R_3+...[/tex]
Let the identical resistors be R. We have, [tex]R_{eq}=15.6\ \Omega[/tex]
So,
[tex]R+R+R=15.6\\\\3R=15.6\\\\R=\dfrac{15.6}{3}\\\\R=5.2\ \Omega[/tex]
So, the resistance of each resistor is [tex]5.2\ \Omega[/tex].
An atom of a certain element has 36 protons, 36 electrons, and a mass number of 84. At room temperature, this element is a very stable gas. How many neutrons are in this atom?
Answer:
12 neutrons
Explanation:
The number of protons also shows the atomic number. Therefore the element in question is Krypton (Kr), which also is a noble gas.
Neutrons = Mass number - protons - electrons
Here neutrons = 84 - 36 - 36 = 12
An island reports that in the year 2000 there were 240 babies born. That same year, 100 individuals died.
What is the growth rate for this island?(Show your work and indicate if it is positive or negative.)
Answer:
+ 140
Explanation:
You can show the natural growth rate by subtracting the death rate from the birth rate during one year and converting this into a percentage.
Here it would be:
240 - 100 = + 140
// if you want to convert it to percentage, you need to know the size of the population
it would be
140 / (population size) * 100 %
A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from
the opposite direction of 22 m/s. The baseball and the tennis ball have a
final speed of 1.2 m/s and 13 m/s respectively, both to the right.
What is the mass of the tennis ball?
(w/solution)
Alice pulls her wagon with a force of 75N. If the she pulls the wagon for 50 meters, how much work has she done?
Answer: W=75.50J
Explanation:
W=Fd
If the mass of a 1.8 g paperclip was able to be completely converted to energy, how much energy would you obtain?
Answer:
[tex]E=1.62\times 10^{14}\ J[/tex]
Explanation:
Given that,
The mass of the paperclip, m = 1.8 g = 0.0018 kg
We need to find the energy obtained. The relation between mass and energy is given by :
[tex]E=mc^2[/tex]
Where
c is the speed of light
So,
[tex]E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J[/tex]
So, the energy obtained is [tex]1.62\times 10^{14}\ J[/tex].
What is the mass of an object that has 324 J of energy and is moving at a speed of 9 m/s? Answer:
Answer:
the mass of that object = 324 ÷ 9 = 36j
Answer:
36 kg
Explanation:
m=?
KE= 324 J
v= 9 m/s
m= 324 / 9
= 36 kg
Lucas works in a laboratory that conducts research on the use of transgenic plants to make antibodies and hormones. What field is Lucas working in?
a) genetic engineering
b) biopharming
c) agricultural science
d) bioengineering
A 1-kg book is at rest on a desk. Determine the force the desk exerts on the book
[tex]\displaystyle F_n = 9.8 \ N[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightPhysics
Forces
SI Unit: Newtons N
Free Body Diagrams
Gravitational Force: [tex]\displaystyle F_g = mg[/tex]
m is mass (in kg)g is Earth's gravity (9.8 m/s²)Normal Force: [tex]\displaystyle F_n[/tex]
Newton's Law of Motions
Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motionNewton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration)Newton's 3rd Law of Motion: For every action, there is an equal and opposite reactionExplanation:Step 1: Define
1 kg book at rest
Step 2: FBD
See Attachment
Draw a free body diagram to label the forces acting upon the book. We see that we would have gravitational force from Earth pointing downwards and normal force from the surface of the desk pointing upwards.
Since the book is not moving, we know that ∑F = 0 (sum of forces equal to 0).
Step 4: Find Normal Force
Define Forces [Newton's Law of Motions]: [tex]\displaystyle \sum F = 0[/tex][Newton's Law of Motions] Substitute in forces: [tex]\displaystyle F_g - F_n = 0[/tex][Newton's Law of Motions] [Addition Property of Equality] Isolate [tex]\displaystyle F_n[/tex]: [tex]\displaystyle F_g = F_n[/tex][Newton's Law of Motions] Substitute in [tex]\displaystyle F_g[/tex]: [tex]\displaystyle mg = F_n[/tex][Newton's Law of Motions] Rewrite: [tex]\displaystyle F_n = mg[/tex][Newton's Law of Motions] Substitute in variables: [tex]\displaystyle F_n = (1 \ kg)(9.8 \ \frac{m}{s^2})[/tex][Newton's Law of Motions] Multiply: [tex]\displaystyle F_n = 9.8 \ N[/tex]What is the kinetic energy of the ball as it is half way through the fall?
please please help!!!!!
A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?
Answer:
22 mins and 30 seconds
Explanation:
2m in 1 min so:
45m in x mins Cross multiply
2x = 45
x = 45/2
x=22.5
compare the liquid pressure at the surface of a swimming pool and the bottom of the swimming pool
Answer:
The pressure difference is equal to the product of density , height and g
Given that h is height difference between bottom and surface of a pool
P
b
−P
s
=dgh
Density d of water is 1
So we get P
b
−P
s
=gh
Therefore option A is correct
Explanation:
Which option correctly matches the chemical formula of a compound with its name?
Answer:
d
Explanation:
the correct chemical formula of a compound with its name is NO₂, Nitrogen Dioxide, the correct option is D.
What is a Chemical compound?The chemical compound is a combination of two or more either similar or dissimilar chemical elements
for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom
The correct chemical formula for nitrogen Dioxide is NO₂
Learn more about a chemical compound
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can you suggest improvement that can be made towards the design of siphon so that the transfer of liquid is much higher.
Answer:
A siphon is a tube that makes use of the potential energy of fluid at an elevated level to transfer the fluid to a lower level, due to pressure differences between the inlet and the outlet points of the tube, such that the pressure at the outlet is higher than the pressure at the inlet
The pressure energy is converted into velocity (kinetic) energy, and therefore, in other to increase the flow rate through the tube of a siphon, with constant diameter, the level of the fluid in the container at the inlet (supply) of the siphon is raised higher than the level at the outlet receiving) container or the outlet point of the siphon tube
The larger the difference between the inlet and outlet levels, the faster the transfer of fluid by the siphon
Explanation:
an atom has 5 protons, 6 neutrons, and 5 electrons. what is the atomic mass?
Answer:
the atomic mass is 11
Explanation:
the atomic mass is basically how many protons and neutrons there are so for this all you have to do is some simple math:
5 + 6 = 11
and boom, ur atomic mass is equal to 11!
A force of 100 N will exert the greatest pressure on an area of
Answer:
It will apply the greatest pressure of an area of 1.
Explanation:
To find pressure use the formula P = F/A
P = 100/1
P = 100
Answer:
10 N / cm^2
Explanation:
The Formiula is P = F / A
P = presure
F = Force in Newtons
A = area.
The answer is the smaller the area the larger the pressure.
The smallest area you have given us is 10 cm^2
The Pressure = 100N / 10 cm^2
Pressure = 10 N/cm^2
Note: the units are not exactly standard units, but I've given the answer the way the question offers the units.
a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration
Answer:
The magnitude of the acceleration is 1.6 m/s².
Explanation:
We can find the magnitude of the acceleration by using the following equation:
[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f}[/tex]: is the final position = 80 m
[tex] x_{0[/tex]: is the initial position = 0
[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)
a: is the acceleration =?
t: is the time = 10 s
Hence, the acceleration is:
[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]
Therefore, the magnitude of the acceleration is 1.6 m/s².
I hope it helps you!
