(a) Free-body diagram of the rock climber is shown below:The weight of the climber acts vertically downwards, and the normal force provided by the wall acts perpendicular to the wall.
The frictional force acting on the shoes and back of the climber opposes the downward force due to gravity.
(b) Let Fp be the push exerted by the climber on the wall. At the point where the climber is just about to slip, the frictional force on the shoes and the back of the climber are at their maximum values. Therefore, the maximum force of static friction on the shoes is:
fs_max = μs(mg - Fp)
Similarly, the maximum force of static friction on the back of the climber is:
fb_max = μbmg
At the point where the climber is just about to slip, the frictional force on the shoes is equal to the frictional force on the back of the climber, so:
μs(mg - Fp) = μbmg
Solving for Fp, we get:
Fp = (1 - μb/μs)mg = (1 - 0.80/1.2) × 49 × 9.81 = 163.3 N
Therefore, the magnitude of the climber's push against the wall is 163.3 N.
(c) The normal force provided by the wall is equal to the sum of the normal force on the shoes and the normal force on the back of the climber:
N = Ns + Nb
Since the climber is just about to slip, the frictional force on the shoes is equal to the maximum static frictional force on the shoes:
fs = fs_max = μs(Ns + Nb)
Therefore, the fraction of the climber's weight supported by the frictional force on the shoes is:
fs/mg = μs(Ns + Nb)/mg = μs(N/mg) = μs cosθ
where θ is the angle between the wall and the horizontal. The normal force on the climber is equal to her weight, so:
N = mg = 49 × 9.81 = 480.69 N
Therefore, the fraction of the climber's weight supported by the frictional force on the shoes is:
fs/mg = μs cosθ = 1.2 cos(90°) = 0
Hence, none of the climber's weight is supported by the frictional force on the shoes.
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When a 3.25 A current flows across a resistor, the voltage drops by 212 V. What is the resistance?
Answer: 65 ohm
Explanation:
A car hits a tree and doesn’t stop, but keeps going until severely damaged. This is because of _____.
Answer:inertia
Explanation:
A car hits a tree and doesn’t stop, but keeps going until severely damaged. This is because of the principle of Inertia.
What is newton's first law of motion?
It states that" When a body s at rest it remains at rest, and IF the body is in motion It remains in motion until an external force is applied to that object."
i.e
If F=0, Then v= constant
and when that constant =0 then the body is at rest.
Where F= force
v = velocity.
Inertia is the tendency of an object to resist changes in its state of motion. In this case, the car was moving at a certain speed before it hit the tree, and because of its inertia, it continued to move forward even after the collision with the tree.
The car only stopped when another force acted on it, such as the force of the tree, or the force of friction with the ground, which slowed it down and eventually brought it to a stop. The severe damage to the car was a result of the force of the impact, which was a combination of the car's speed and its mass.
Hence the car does not stop because of the principle of inertia.
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We are not normally aware of the gravitational or electric force between two ordinary objects. What is the reason in each case
The reason we are not normally aware of the gravitational or electric force between two ordinary objects is that these forces are very weak in comparison to other forces we commonly experience in everyday life.ExplanationGravitational and electric forces are two of the four fundamental forces of nature.
They play significant roles in determining the behavior of the universe, from the smallest subatomic particles to the largest structures in the cosmos.However, the gravitational and electric forces between two ordinary objects, such as a book and a table or two people, are typically so weak that we don't notice them in our daily lives.
This is because the strength of these forces depends on the masses and charges of the objects involved, as well as the distance between them. For example, the gravitational force between two people standing a few feet apart is only about one ten-billionth of the weight of a paperclip.In contrast, forces such as friction, air resistance, and normal forces are much stronger in comparison and can easily be felt or observed. For instance, when you walk on the ground, the force of friction between your shoes and the surface you're walking on is what keeps you from slipping and sliding. Similarly, the normal force between your feet and the ground helps support your weight and keep you standing upright.
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. A car starts to move from rest has an acceleration of 3m/s².what will be the velocity and distance travelled by the car after 50sec.
Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :
Step 1: Calculate the velocity using the equation:
\(v = u + at\)
where:
- \(v\) is the final velocity
- \(u\) is the initial velocity (0 m/s, as the car starts from rest)
- \(a\) is the acceleration (3 m/s²)
- \(t\) is the time (50 seconds)
Substituting the values into the equation:
\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)
Step 2: Calculate the distance traveled using the equation:
\(s = ut + \frac{1}{2}at^2\)
where:
- \(s\) is the distance traveled
- \(u\) is the initial velocity (0 m/s)
- \(a\) is the acceleration (3 m/s²)
- \(t\) is the time (50 seconds)
Substituting the values into the equation:
\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)
Now, let's simplify these equations:
\(v = 3 \times 50\)
\(s = \frac{1}{2} \times 3 \times 50^2\)
Calculating the results:
\(v = 150\) m/s
\(s = 3750\) meters
Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.
A 10 N force and a 55 N force act on an object in opposite directions. What is the net force on the object ?
Answer:
对不起,我不知道对不起
Explenation:
The net force acting on the body is 45 N
Force is a vector, vectors are quantities that have both magnitude and direction. We must take the direction of the vector into account when computing the net force.
Since the two forces act in opposite directions, the net force is; 55 N - 10 N = 45 N.
The direction of this force is towards the 55 N force which is the larger force.
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14 Calculate When the basketball is at its maximum
height of 3 meters, it is not moving. The table below
lists the KE and GPE for the basketball at heights of
3 m, 2 m, 1 m, and 0 m. Write the missing values for
KE and GPE In the table. Then find the mechanical
energy for each height.
To fill in the missing values for KE and GPE in the table, we can use the conservation of energy principle which states that the total mechanical energy of a system (ME) is conserved and remains constant as long as there are no external forces acting on the system.
How to find out?At the maximum height of 3 m, the basketball is not moving, so all of its energy is potential energy, i.e., GPE = 18 J and KE = 0 J.
Using the principle of conservation of energy, we can calculate the values of KE and GPE at the other heights:
At a height of 2 m, the basketball has lost some potential energy as it has moved down, but it has not gained any kinetic energy yet, so KE = 0 J. Therefore, GPE = 12 J.
At a height of 1 m, the basketball has lost some potential energy and gained some kinetic energy. We can calculate the KE as the difference between the ME at heights of 2 m and 1 m, i.e., KE = ME(2 m) - ME(1 m) = (12 J) - (6 J) = 6 J. Therefore, GPE = 6 J.
At a height of 0 m, the basketball has lost all of its potential energy and gained an equal amount of kinetic energy, i.e., KE = GPE = 18 J.
The mechanical energy (ME) at each height can be calculated as the sum of KE and GPE:
ME(3 m) = KE + GPE = 0 J + 18 J = 18 J
ME(2 m) = KE + GPE = 0 J + 12 J = 12 J
ME(1 m) = KE + GPE = 6 J + 6 J = 12 J
ME(0 m) = KE + GPE = 18 J + 0 J = 18 J
Therefore, the mechanical energy of the basketball remains constant at 18 J at the maximum height and at the ground level, and decreases to 12 J at a height of 2 m and then increases back to 18 J at a height of 0 m.
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Calculate the momentum of an electron moving with a speed of (c) 0.900c.
The momentum of an electron moving with a speed of 0.900c is calculated using the relativistic momentum formula.
The momentum of an object is defined as the product of its mass and velocity. In classical physics, the momentum of an object can be calculated using the equation p = mv, where p is the momentum, m is the mass, and v is the velocity. However, when dealing with objects moving at speeds close to the speed of light (c), relativistic effects come into play.
According to Einstein's theory of relativity, the momentum of an object moving at relativistic speeds can be calculated using the relativistic momentum formula:
p = γm0v
where p is the momentum, m0 is the rest mass of the object, v is the velocity, and γ (gamma) is the Lorentz factor, given by:
γ =\(\frac{1}{\frac{v^{2} }{c^{2} } }\)
In this case, the electron is moving with a speed of 0.900c, where c is the speed of light. Substituting the values into the formula, we can calculate the momentum of the electron. It's important to note that the rest mass of an electron is approximately 9.11 x 10^-31 kilograms.
By plugging in the values into the relativistic momentum formula, we find:
γ =\(\frac{1}{\sqrt{\frac{1-(0.900c)^{2} }{c^{2} } } }\)
= \(\frac{1}{\sqrt{(1-0.81)} } }\)
=\(\frac{1}{\sqrt{0.19} }\)
= 2.30
Now, we can calculate the momentum:
p = γm0v
≈ \((2.30)(9.11\)×\(10^{-31} kg)(0.900c)\)
≈ \(1.79\) × \(10^{-24} kg.m/s\)
Therefore, the momentum of an electron moving at a velocity of 0.900 c is approximately 1.79 x 10^-24 kg m/s. Relativistic effects become significant at high speeds, and the relativistic momentum formula more accurately describes the momentum in such cases.
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It's important to maintain muscle flexibility by stretching only after aerobic exercise.
Answer: Most aerobic and strength training programs cause your muscles to contract and tighten. So stretching after you exercise helps optimize the range of motion about your joints and boosts circulation.
Hope this helps!
How does economics affect everyone
Answer:
economics frames many choices we have to make about work, leisure, consumption and how much to save.
Explanation:
Atoms bond to form molecules. Which structures or regions of the atoms interact in these bonds? (1 point)
electric fields of particles with opposite charges
electric fields of particles with negative charge
electric fields of particles with positive charge
electric fields of particles with no charge
Answer:
Electric field of particles with opposite charges
Structures or regions of atoms interact in atoms bond to form molecule due to electric fields of particles with opposite charges.
What is electric field?The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.
Atoms bond forms molecules, when more than one atoms are chemically bond jointly.
The atoms of outer bond, form the electron in the following ways,
If the electron transferred between the two atoms (from one to another). By this way the ionic bonds are formed.If the electron is shared between two adjacent atoms.If, for the same substance, the electron is shared with all of its atoms.One atom or ion, detain to another atom, then their electron posses opposite or repulsive force on each other.
Thus, the structures or regions of the atoms interact in atoms bond to form molecule due to electric fields of particles with opposite charges.
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A ball is thrown upward from the top of a building at an angle of 30.0° to the horizontal and with
an initial speed of 20.0 m/s. The point of release is 45.0 m above the ground. Neglect air resistance.
(i) How long does it take for the ball to hit the ground?
(ii) Find the ball’s speed at impact.
(iii) Find the horizontal range of the stone.
Answer:
See below
Explanation:
Vertical position = 45 + 20 sin (30) t - 4.9 t^2
when it hits ground this = 0
0 = -4.9t^2 + 20 sin (30 ) t + 45
0 = -4.9t^2 + 10 t +45 = 0 solve for t =4.22 sec
max height is at t= - b/2a = 10/9.8 =1.02
use this value of 't' in the equation to calculate max height = 50.1 m
it has 4.22 - 1.02 to free fall = 3.2 seconds free fall
v = at = 9.81 * 3.2 = 31.39 m/s VERTICAL
it will also still have horizontal velocity = 20 cos 30 = 17.32 m/s
total velocity will be sqrt ( 31.39^2 + 17.32^2) = 35.85 m/s
Horizontal range = 20 cos 30 * t = 20 * cos 30 * 4.22 = 73.1 m
when rain falls from the sky, what happens to its momentum as it hits the ground? what about its energy? where does the energy go?
As rain falls from the sky and hits the ground, its momentum decreases, and its energy is dissipated into various forms.
When rain falls from the sky, it possesses both momentum and energy due to its motion. As it hits the ground, several factors come into play.
1. Momentum: Momentum is a product of an object's mass and velocity. When raindrops fall, they have a certain momentum associated with their mass and downward velocity. Upon impact with the ground, the raindrops' momentum decreases or comes to a stop. This change in momentum is caused by the force exerted on the raindrops by the ground.
2. Energy: Raindrops also possess kinetic energy due to their motion. Upon impact, some of this kinetic energy is converted into other forms, such as sound energy, heat energy, and the energy required to displace the ground and surrounding air. The conversion of kinetic energy into these different forms leads to a decrease in the raindrop's overall energy.
3. Energy dissipation: The energy of the falling raindrop is dissipated into the surrounding environment. For example, the sound energy is produced due to the impact and creates the sound of rain hitting the ground. Heat energy is generated by the friction between the raindrop and the ground, as well as the air resistance encountered during the fall. Some energy is also used to displace the ground and the air around the impact area.
In summary, when rain falls and hits the ground, its momentum decreases, and its energy is dissipated into various forms, including sound energy, heat energy, and the energy required to displace the ground and surrounding air.
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an ideal gas expands isothermally performing work in the process calculate the change in internal energy of the gas
Since the ideal gas' internal energy is only dependent on temperature, it does not change during the isothermal process. Heat exchanged equals work completed.
What is work?In physics, the term "work" refers to the energy that is moved to or away from an item whenever a force is exerted along a displacement. For a constant force that is directed in the same direction as the motion, it is simplest expressed as the product of the force's magnitude and the distance traveled. The work performed by a force is defined as the product of the component of the force operating in the direction of the displacement and the displacement's magnitude. Formula. Work can be calculated using the formula below by multiplying force by the distance traveled in the force's direction. W = F × d.
What is the nature of work?The term "nature of work" refers to the kinds of tasks and responsibilities that may be assigned to you at work. The caliber of the work might demonstrate your qualifications and place within a corporation. The type of work and the level of work may be listed as the job description and the job title, respectively, when you look at job openings.
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In the diagram below, which particle is anti-matter?
e+
p
pn
v
The e+ in the diagram represents an antimatter particle.
What does an anti matter look like?
An electron is a matter particle, whereas a positron is its antimatter counterpart. Positrons have a positive charge, while electrons have a negative one. Additionally, the magnetic moments of an electron and positron are in opposition.
What is a particle of antimatter?Antimatter is a substance made up of subatomic particles with the mass, electric charge, and magnetic moment of electrons, protons, and neutrons in regular matter, but with the opposite signs for these three properties.
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What is the angle of deviation in a plane mirror at normal incidence?
Answer:
The deviation of a mirror is equal to twice the angle of incidence.The total angle between the straight-line path and the reflected ray is twice the angle of incidence. This is called the deviation of the light and measures the angle at which the light has strayed from its initial straight-line path.
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How does temperature change from planets to planets in our solar system?
The further a planet is from the Sun, the colder its surface temperatures tend to be. Venus is an exception, since it has the highest surface temperature in our solar system due to its close closeness to the Sun and its thick atmosphere.
What was the temperature of the solar system when the planets first formed?The inner planets are rocky, whereas the outer planets are gaseous, which can be attributed to the early solar system's temperature. The solar system's temperature increased as the gases came together to create a protosun. Temperatures in the inner solar system reached 2000 K, whilst in the outer solar system, it was only 50 K.
The quantity of heat received is just one of many intricate aspects that go into determining the temperature.
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What do simple machines decrease the need for, in order to make work easier?
Answer:
Simple machines can actually make more work due to friction. Simple machines make work easier to do by decreasing the force required by increasing the distance over which the work is done. _____increasing___ the distance that force is applied.
Calculate the weight of a 2kg chicken on earth. .. (use the formulas)
Answer:
weight =m x g =2kg × 10m/s 2 = 20N
Formulas:
weight = m × gravity
=unit for weight is newtons
Mass=weight ÷ gravity
= unit for mass is kilograms
Gravity=weight ÷ mass
=unit for gravity is 10m/sec 2
do pill bugs prefer loves or no leaves
2
Select the correct answer.
Which statement is true about acceleration?
OA.
It is the rate of change of speed per unit time.
OB.
It is the rate of change of displacement per unit time.
Ос.
It is the rate of change of velocity per unit time.
OD.
It is the rate of change of position per unit time.
Reset
Next
Answer:
the answer is C ----- it is the rate of change of velocity per unit time
Explanation:
acceleration
\( = \frac{velocity(v)}{time(t)} \)
A man can use a snowblower to move snow in 5 minutes. If he moves it with a shovel, will take 20 minutes. He will use more power with which process?
Answer:
the second process of using the the shovel to move the snow as it takes a longer time meaning more power is expended
The red team hits the ball over the net in 2 hits and it hits on the floor 2 times before the
blue team can hit the ball.
O I point for the red team
0 1 point for the blue team
O 2 points for the red team
In this scenario, the red team hits the ball over the net in 2 hits and it hits the floor 2 times before the blue team can hit the ball. Based on the given information, the red team would earn 2 points.
1. The red team hits the ball over the net in 2 hits. This means that the red team successfully makes the ball go over the net within 2 hits.
2. The ball then hits the floor 2 times before the blue team can hit it. This means that the ball bounces on the floor twice before the blue team has a chance to make a hit.
Since the red team successfully hits the ball over the net and it hits the floor twice before the blue team can make a hit, the red team would earn 2 points.
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a force of 15 Newton stretches a spring to a total length of 30 cm and additional force of 10 Newton's stretches to Spring of 5 cm find the natural length of the spring
A force of 15 Newton stretches a spring to a total length of 30 cm and an additional force of 10 Newton's stretches to a Spring of 5 cm, the natural length of the spring is 58.5 cm
To find the natural length of the spring, we can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its natural length.
Let's denote the natural length of the spring as L.
According to the problem, a force of 15 Newton stretches the spring to a total length of 30 cm. This means that the displacement of the spring is 30 cm - L.
Using Hooke's law, we can set up the following equation:
Force = k * Displacement
where k is the spring constant.
For the first scenario, we have:
15 N = k * (30 cm - L)
Next, we are given that an additional force of 10 Newton's stretches the spring to a length of 5 cm. This implies that the displacement of the spring is 5 cm - L.
Using Hooke's law again, we can set up the following equation:
10 N = k * (5 cm - L)
Now we have two equations:
15 N = k * (30 cm - L)
10 N = k * (5 cm - L)
We can solve this system of equations to find the value of L, the natural length of the spring.
By dividing the second equation by 10, we get:
1 N = k * (0.5 cm - 0.1L)
Rearranging the equation, we have:
1 N = 0.5 k - 0.1kL
Now, let's substitute the value of k from the first equation into this equation:
1 N = 0.5 (15 N / (30 cm - L)) - 0.1 (15 N / (30 cm - L)) * L
Simplifying the equation, we get:
1 = 0.75 / (30 cm - L) - 1.5L / (30 cm - L)
Combining the terms on the right side of the equation, we have:
1 = (0.75 - 1.5L) / (30 cm - L)
Cross-multiplying, we get:
30 cm - L = 0.75 - 1.5L
Simplifying the equation, we have:
L - 1.5L = 0.75 - 30 cm
Combining like terms, we get:
-0.5L = -29.25 cm
Dividing both sides of the equation by -0.5, we get:
L = 58.5 cm
Therefore, the natural length of the spring is 58.5 cm.
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I have an unknown volume of gas at a pressure of 0.500 atm and a temperature of 325 K. If I raise the pressure to 1.20 atm, decrease the temperature to 320. K, and measure the final volume to be 48.0 liters, what was the initial volume of the gas?
Answer:
117
Explanation:
the formula is P1V1 over T1 is equals to P2V2 over T2
4
Select the correct answer.
What does the number, or density, of field lines on a source charge indicate?
OA
direction of charge on the source charge
B.
amount of charge on the test charge
Oc.
amount of charge on the source charge
OD
direction of charge on the test charge
Reset
Next
Answer:
C. amount of charge on the source charge.
Explanation:
Electric field lines can be defined as a graphical representation of the vector field or electric field.
Basically, it was first introduced by Michael Faraday and it is typically a curve drawn to the tangent of a point is in the direction of the net field acting on each point.
The number, or density, of field lines on a source charge indicate the amount of charge on the source charge. Therefore, the density of field lines on a source charge is directly proportional to quantity of charge on the source.
which one is smaller a hectogram, dekagram, kilogram, centigram, or milligrams?
An identical book is dropped on four planets of unknown gravity. The book is thrown down on planets W and X, and released from rest on planets Y and Z. The velocity is recorded for some time intervals on each planet, but not all. The missing velocities are blocked out with a gray box. Which of the following lists the planets in order from the greatest acceleration of gravity to the least acceleration of gravity?
We want to compare the gravitational acceleration of different planets by using the given table. The correct option is the last one, so we have:
Planet Y, planet W, planet Z, planet X.
First, we know that the velocity equation is written as:
V(t) = a*t + v₀
Where a is the acceleration and v₀ is the initial velocity.
With this equation, we can find the acceleration in each planet.
Planet W
The initial velocity is v₀ = -3m/s
V(t) = a*t - 3m/s
And we know that at t = 2s, the velocity is -22m/s.
v(2s) = -22m/s = a*2s - 3m/s
-22m/s + 3m/s = a*2s
-19 m/s = a*2s
(-19 m/s)/2s = a = -9.5m/s^2
Now we just do the same thing for each planet.
Planet X:
v₀ = -0.5 m/s
v(1s) = -4.2 m/s = a*1s - 0.5 m/s
-4.2 m/s + 0.5 m/s = a*1s
-3.8 m/s^2 = a
Planet Y:
v₀ = 0 m/s
v(2s) = -21 m/s = a*2s
(-21 m/s)/2s = a = -10.5 m/s^2
Planet Z:
v₀ = 0 m/s
v(1s) = -8 m/s = a*1s
(-8 m/s)/1s = a = -8m/s^2
Then the order from greatest to least is:
Y, W, Z, X
So the correct option is the last one.
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Which type of galaxy has arms that contain sites of active star formation and start close to a bulge in the center?
elliptical
irregular
barred spiral
normal spiral
The type of galaxy which has arms that contain sites of active star formation and start close to a bulge in the center is: D. normal spiral.
A star can be defined as a giant celestial (astronomical) object that is made up of a luminous sphere of plasma bounded together by its own gravitational force.
Generally, a star comprises two (2) main interstellar hot gases and these include:
I. Hydrogen (H).
II. Helium (He).
A galaxy refers to a collection of billions of stars, which are existing independently.
This ultimately implies that, the greatest number of stars are found in a galaxy.
According to astronomers, the galaxy is classified into four (4) main categories and these are:
Elliptical galaxy.Irregular galaxy.Peculiar galaxy.Spiral galaxy.Furthermore, spiral galaxies are divided into two (2) major groups such as:
I. Barred spiral.
II. Normal spiral.
A normal spiral is typically made up of arms containing sites of active star formation and it start close to a bulge in the center.
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Answer:
D) normal spiral
Explanation:
Whoever answered it practically wrote a life story. There's no need for an explanation; just get to the point and tell us the answer. But anways, the answer is D.
Reflection about how you're going to relate low of acceleration to your life?
Reflection is the process of thinking about something and analyzing it in relation to one's own experiences and perspectives.
In the context of the law of acceleration, this means considering how this law affects our everyday lives and the decisions we make.
One way that the law of acceleration relates to my life is through my use of technology. The law of acceleration states that an object's acceleration is directly proportional to the net force acting on it and inversely proportional to its mass.
This means that as technology becomes more advanced and lighter in weight, it also becomes faster and more efficient. This directly affects my daily life, as I rely on technology for communication, entertainment, and work.
Another way that the law of acceleration relates to my life is through my experiences with transportation. Whether I am driving a car, riding a bike, or taking public transit, the law of acceleration is at play. Understanding how acceleration works allows me to make informed decisions about how to safely and efficiently get from one place to another.
Overall, the law of acceleration is a fundamental principle that affects many aspects of our daily lives. By reflecting on how it relates to my own life, I can better understand the world around me and make more informed decisions.
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How was manganese, a heavy element present in trace amounts in the
human body, formed?
O A. Through the star cycle
B. Through the big bang
O C. By fusion in small stars
O D. By fusion in large stars