double the luminous flux of the light source is a way to exactly double the illuminance on an object.
The electromagnetic radiation that the human eye perceives as light, or visible light, is found in the region of the electromagnetic spectrum. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which are intermediate between the infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).
The term "light" can be used more generally in physics to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This makes gamma rays, X-rays, microwaves, and radio waves also constitute light. Intensity, the direction of propagation, frequency or wavelength spectrum, and polarization make up the fundamental characteristics of light. One of the basic constants of nature is its speed in a vacuum, 299 792 458 meters per second (m/s).
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Number of individuals in a rocky mountain forest organism population mountain lions 150 bobcats 300 coyotes 10,000 deer 25,000 mountain lions bobcats coyotes deer
The animal with the lowest bar on that bar graph would be the mountain lion.
A bar graph is a visual representation of data that uses rectangular bars having lengths according to the values they represent. A bar graph, which can be shown horizontally or vertically, compares sets of data.
According to the question, mountain lions had the lowest bar on a bar graph since they have the smallest population 150 of all the species.
Bar graphs are a way of representing the numerical data sets of different aspects on a graph paper that allows easy calculations and conclusions.
On the graph sheets, the quantitative method is shown as bars, which show their values.
The answer to the query indicated that Mountain Lions would have the graph's lowest bar.
The picture provided below shows the plotted and associated bar graph again for the aforementioned query.
The vertical or y-axis represents the animal population, while the horizontal or x-axis shows the various species of animals.
Mountain lions are the species with the least amount of residents in the area.
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The question is -
If the data below were put into a bar graph, which animal would have the lowest bar on the bar graph? Number of Individuals in a Rocky Mountain Forest Organism Population Mountain lions 150 Bobcats 300 Coyotes 10,000 Deer 25,000 mountain lions bobcats coyotes deer Mark this and return Save and Exit.
Answer: the answer is A
Explanation:i got it from a friend it was right
g the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 2903 n with an effective perpendicular lever arm of 2.35 cm , producing an angular acceleration of the forearm of 130.0 rad / s2 . what is the moment of inertia of the boxer's forearm?
The moment of inertia of the boxer's forearm will be 0.525kg.[tex]m^{2}[/tex]
In physics, it means quantitative measure of the rotational inertia of the body. As an example, the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed.
From the question given, the triceps muscle in the back of the upper arm extends the forearm of a professional boxer when he extends his arm,
Torque generated due to this force is,
τ = F * r
τ = torque is generated
F = force exerted = 2903n
r = the radius of the lever arm = 2.35cm = 0.0235m
Now let's use the torque formula
τ = 2903N * 0.0235m
τ = 68.2205 N.m
Next, we want to find the moment of inertia of the boxer's forearm by calculating the relation between torque and moment of inertia and angular acceleration,
τ = torque = 68.2205Nm
I = moment of inertia
α = angular acceleration = 130 rad / s²
τ = Iα
68.2205 = I*130rad/s²
I = 0.525 kg.m² (rounded)
Therefore, the value of moment of inertia is 0.525kg.m²
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Also Giving BRAINLIEST!!
2. In Fig. 2-7 a mass m of 12.00 kg is pulled, at constant speed, along an inclined plane which makes an angle with the horizontal.
(a) What is the value of angle A if we want to raise the mass m to a height of h = 2.00 m?
(b) What is the mechanical advantage produced by the inclined plane? We assume that the inclined plane is frictionless.
Answer:
As P is increased from mg(sinθ−μcosθ) to mg(sinθ+μcosθ) frictional force will change from mgcos ( upwards parallel to inclined plane) to 0 to mgcos (downwards parallel to inclined plane). Under the approximation of linear variation of P the correct option is A.
How is the 12 volt potential difference of the car battery shared between the six heating
elements?
Answer:
To say we have a 12.0-V battery implies that its terminals have a 12.0-V likely contrast. At the point when such a battery moves charge, it puts the charge through an expected distinction of 12.0 V, and the charge is given an adjustment of potential energy equivalent to Δ U = q Δ V .
six cells
There are six cells to a 12 volt lead corrosive battery. A battery cell's greatest capacity to convey current (amps).
A 12 V lead-stockpiling battery comprises of six cells, each delivering roughly 2 V. The genuine standard cell potential is acquired from the standard decrease possibilities. In light of the positive and negative charges on the battery terminals, an electric potential contrast exists between them.A 6 cell lithium particle pack has an ostensible voltage of 21.6V to 22.2V and a most extreme charge voltage of 25.2 volts
Explanation:
One volt is the likely contrast between two focuses in an electric circuit when 1 joule of work is finished to move charge of 1 coulomb from one highlight other.A completely energized 12 volt battery ought to peruse at 12.6 volts on the multimeter. In the event that the perusing is lower than this, you'll need to accuse your battery of either a battery charger or by taking your vehicle for a drive.A 12 volt 105 AH battery can supply (under wonderful circumstances and to 100 percent release) 12 x 105, or 1260 Watt-hours (1.26 kWh).between 5 to 8 hoursThe short response is that a 200-watt sunlight based charger that creates 1 amp of current takes between 5 to 8 hours to charge a 12-volt vehicle battery totally.A 100Ah 12 volt profound cycle lead-corrosive battery can run a 100W ceaseless DC load for 6 hours whenever released to half as suggested. A 100Ah 12 volt lead-corrosive profound cycle battery could run a 100W evaluated AC food-blender for 7 hours with half Profundity of Release.Voltage contrast among An and B, VAB=(I1+I2)6=(2−1)6=6 volts.Which quantity is scalar? (1 point)
O velocity
O energy
O force
O momentum
Answer: B. Energy
Explanation:
The Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity, so option B is correct.
What is Energy?In physics, energy is the capacity to do work. It might be potential, kinetic, thermal, electrical, chemical, radioactive, etc. Heat and work are further examples of energy being transferred from one body to another. Once it has been transmitted, energy is always allotted based on its nature. Thus, heat transmission could result in thermal energy while effort could produce mechanical energy.
The scalar quantity means they have only the magnitude and no direction. The velocity of any object tells the speed at which it is moving and its direction also, and the force applied to an object also tells the magnitude with direction, the momentum of an object is dependent on the force, so it is also a vector quantity
Therefore, Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity.
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i want help plase
?????????????????
a ) When they reach the ground, rock B has greater velocity.
b ) Both rocks have the same acceleration
c ) Rock A and Rock B arrives at the same time
According to law of conservation of energy,
1 / 2 m u² + m g hi = 1 / 2 m v² + m g hf
u = 0
hf = 0
m g hi = 1 / 2 m v²
v = √ ( 2 g / m ) √ hi
v ∝ √ hi
a ) hi of rock A will be higher because it reaches a certain height above the ground which will be considered as initial height for rock A. So, the final velocity of rock A is higher.
b ) Both the rock are affected by only the force of gravity. So they will have the same acceleration of 9.8 m / s²
c ) If air resistance is ignored,
s = u t + 1 / 2 at²
For an object that is dropped,
u = 0
a = g
s = at² / 2
t = √ ( 2 s / g )
It can clearly be seen that no matter what height an object might be dropped from, if air resistance is ignore they will fall at the same time.
Therefore,
a ) When they reach the ground, rock B has greater velocity.
b ) Both rocks have the same acceleration
c ) Rock A and Rock B arrives at the same time
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two parallel plates are separated by 5.0 cm. if the potential difference between the plates is 2000 v, with the top plate at the higher potential, what is the electric field between the plates?
There is a 40000 N/C downward electric field between the plates.
Potential difference between the plates V = 2000 V
Plates separation d = 5 cm = 0.05 m
power source E=V/d
Electric field E=40000 N/C downhill
The electric force per unit of charge is what is meant when we talk about an electric field. It is presumable that the field's direction matches the direction in which a successful test charge would feel force. The physical surroundings of a system of charged particles are also described. Electric fields are composed of electric charges and time-varying electric currents. The electromagnetic field, one of nature's four primary interactions, or forces, appears as both electric and magnetic fields.
In electrical technology, electric fields are used, and significant in many branches of physics. For instance, the attracting force in atomic physics and chemistry is the electric field.
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hello! can someone help me with question 20?
Answer:
Light can travel through a glass or through a vacuum
The kinetic energy of a baseball that with a mass of 0.140kg is 7 J. What is the baseballs velocity?
Answer:
10 m/s
Explanation:
Kinetic energy= [tex]\frac{1}{2}[/tex]mv² where m is mass and v is velocity.
We have to make v the subject so we should rearrange the equation
K=[tex]\frac{1}{2}[/tex]mv²
v²= [tex]\frac{K}{0.5*m}[/tex] (use algebra)
v²= 7/0.5×0.140
v²=100
v=√100
v=10 m/s
We can confirm this by using the kinetic energy formula.
K=[tex]\frac{1}{2}[/tex]×0.140×10²
K= 7 J
Hence it is proved that velocity is 10 m/s
4. at a distance of 7 x 1012 m from a star, the intensity of the radiation from the star is 15.4 w/m2. assuming that the star radiates uniformly in all directions, what is the total power output of the star?
If the star radiates uniformly in all directions, the total power output of the star is 2.37 x 10²⁷ W.
The formula for the intensity of the light at a distance R from the source of light (which is star in this case) is given by,
I = P/A
I is the intensity,
P is the power,
A is the area.
We can write,
P = IA
Intensity is given to be 15.4 W/m².
A = πR²
Here, we will take the value of R is 7 x 10¹² m.
So,
A = π( 7 x 10¹²)²
Putting the values,
P = IA
P = 15.4 x π x ( 7 x 10¹²)²
P = 2.37 x 10²⁷ W.
The power output of the star is 2.37 x 10²⁷ W.
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a ball hangs on a rope of 1.3 m . the ball is pushed horizontally so that it has a speed of 1.3 m/s . what angle does the rope make with the vertical when the ball's kinetic energy is halved?
The angle of the rope makes with the vertical when the ball's kinetic energy is halved is 14.78°.
Parameter
h = 1.3 mva = 1.3 m/s[tex]Ek_B = \frac{1}{2} Ek_A[/tex]Acceleration due to gravity = g = 9.8 m/s²When the ball is pushed horizontally and moves from point A to point B where the ball's kinetic energy halves, the law of conservation of energy applies.
Mechanical energy at A = Mechanical energy at B
Epa + Eka = Epb + EKb
Eka - Ekb = EPb - Epa
[tex]Ek_A -\frac{1}{2}Ek_A = mgh_B - mgh_A[/tex]
[tex]\frac{1}{2}Ek_A = mg \: (h_B - h_A)[/tex]
[tex]\frac{1}{2} \times \frac{1}{2} m v_A^2 = mgh[/tex]
[tex] \frac{1}{4} v_A^2 = gh[/tex]
[tex]gh = \frac{1}{4} \times 1.3^2[/tex]
gh = 0.4225
[tex]h = \frac{0.4225}{9.8}[/tex]
h = 0.043 m
Look at the picture
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Rain is falling vertically at 8.0 ms relative to the ground. The rain drops make tracks on the side window of a car at an angle of 30° below the horizontal. Calculate the speed of the car
When rain is falling vertically at 8m/s then the speed of the car is calculated to be 4.618 m/s.
What happens to the velocity of car when it rains?The velocity of the raindrops adds to the velocity of the car to produce a velocity of the rain relative to the car.
As the surface becomes rougher, friction increases and on rainy days, we are more likely to slip because water acts as a lubricant between feet and the ground. Dry friction is converted to fluid friction by rainwater. Rain drops have a uniform type of motion
Given rain is falling vertically with 8 m/s speed
and rain drop makes an angle of 30°
As we know that, tan∅ = V (horizontal) / V (vertical)
Hence, V (horizontal)= tan ∅ * V (vertical)
= tan (30° ) * 8
speed of the car = 4.618 m/s.
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what is physical properties of matter
Answer:
A quality of matter that is unrelated to a change in its chemical makeup is called a physical property.
Examples of physical properties of matter:
DensityColorHardnessMelting PointBoiling PointElectrical ConductivityPhysical properties are any qualities of matter that may be felt or seen without changing the sample's chemical composition.
Due to the wide range of features that make up physical attributes, they are further separated into intensive and extensive as well as isotropic and anisotropic categories.
Any characteristic that can be recognized and measured by sight, hearing, touch, smell, or other senses without evoking a chemical reaction is referred to as a physical property. Examples of physical traits are:
Color, Shape, Volume, Density, Calorific value, Boiling point, Viscosity, Pressure, Solubility, electrical current
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tides are the periodic short term change in the height of the ocean surface at a particular place, generated by long wavelength progressive waves that are caused by the interaction of gravitational force of the moon and sun. group of answer choices true false
Using the concepts of gravitation, we find that it is true that tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun.
Gravitational force is one of basic forces of nature. It is a force that acts between two bodies and it is always attractive in the nature. Gravitational force is the force with which the objects are attracted to the centre of earth. The motion of the planets and the moon are governed by this force
Kepler’s first law All the planets will revolve around the sun in an elliptical orbit with the sun at one of the focus.
Hence, tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun is true.
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According to the vespr model, the best arrangement of a given number of electron domains is _______.
The best model according to vespr model has the best arrangement of a given number of electron domains and is the one with less repulsion among the electrons
The VESPR model is also known as VSEPR theory or valence shell electron pair repulsion theory. This model provides a three-dimensional structure for the arrangement of electrons within an atom. According to this model, valence shell electrons participate in chemical bonding processes. Molecular geometry shows that only valence shell electrons participate in ionic or molecular bonding.
The theory is based on the premise that repulsion between the pairs of valence electrons in all atoms and the atoms will always tend to arrange themselves in a manner in which this electron pair repulsion is minimized
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a particle travels 17 times around a 16-cm radius circle in 38 seconds. what is the average speed (in m/s) of the particle? (remember, never include units with any answer to a numerical question.)
1.065 m / s is the average speed (in m/s) of the particle.
Circumference = 2[tex]\pi[/tex]r
238.14= 2 x 3.14159 x38 cm
238.14 x 17 rotations / 38seconds
= 106.53 cm / second
106.53 cm / 100 cm per meter
= 1.065 m / s
What is average speed?Average speed is the total distance travelled by an object during a certain time interval. Average speed is a scalar quantity. It is represented by size and has no direction.
The formula for average speed is found by calculating the ratio of the total distance travelled by a body to the time required to travel that distance.
The average speed equation is formulated as follows:
Total distance traveled / Total time travelled
[tex]{S_{AVG}}= \frac{D_{totale}}{T_{totale}}[/tex]
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2 A spring requires a load of 7.5N to increase its length by 50 cm. What load will give it an extension of 12cm?
The load of 1.8 N will give it an extension of 12cm.
What is spring constant?Amount of force required to increase unit length of a spring is known as spring constant. Si unit of spring constant is Newton/meter.
Given parameters:
Loads on the spring; F₁ = 7.5 N.
Increase in length of the spring; x₁ = 50 cm = 0.5 m.
So, spring constant of it; k = F₁/x₁ = 7.5/0.5 N/m = 15 N/m.
Hence, to extent it of 12 cm; required load
= spring constant × increase in length
= 15 N/m × 12 cm.
= 15 N/m × 0.12 m.
= 1.8 N.
So, the required load is 1.8 N.
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A worker lifts a 10 kilogram block a vertical height of 2 meters. The work he does on the block is:
Answer:
Work = 196 Joules (1 kg*m^2/sec^2 is 1 Joule)
Explanation:
Work, W, is defined as force. F, times displacement, d.
W = Force*displacement
In the worker's case, the force he/she is struggling against is Earth's gravity's acceleration, g, (9.8 m/sec^2) times the mass, m.
Force = mg
Force = (10kg)*(9.8 m/sec^2) = 98 kg*m/sec^2
Use this force in the work calculation.
W = Force*displacement
The displacement is 2 meters.
Work = (98 kg*m/sec^2)*(2 meters) = 196 kg*m^2/sec^2
1 kg*m^2/sec^2 is 1 Joule
Work = 196 Joules
how does the amplitude affect the speed of the wave? how does the tension affect the speed of the wave? how does the frequency affect the speed of the wave?
Amplitude does not affect wave speed because amplitude is a measure of the wave energy as it oscillates. This implies that movement of the wave is separate from the movement indicated by the sleep of the wave.
How does tension and frequency affect speed of wave?By increasing the tension, the wave speed increases and hence frequency increases. Greater tension implies greater acceleration of particles, which means greater speed of particles and hence greater speed of wave.
As we know, speed = frequency * wavelength. This clearly means that speed is directly proportional to the frequency such that when frequency increases, speed also increases and vice versa.
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What is the direction of net force at all points in the projectile's path?
The direction of net force at all points in the projectile's path is downwards towards the ground.
F = m a
F = Force
m = Mass
a = Acceleration
F ∝ a
The direction of net force is influenced by the direction of acceleration.
In a projectile motion, if the air resistance is considered negligible, there will be no acceleration in horizontal direction. Because, there will be no forces acting in horizontal direction. The only force acting on the projectile is the force of gravity. Gravity pulls the object downwards throughout its motion. So the direction of net force will be downwards at all points in the projectile's path.
Therefore, the direction of net force at all points in the projectile's path is downwards towards the ground.
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a cylindrical resistor of radius 4.5 mm and length 2.0 cm is made of material that has a resistivity of
A cylindrical resistor of radius 4.5 mm and length 2.0 cm is made of material that has a resistivity then current density J is 1.12 × [tex]10^{5}[/tex]
Since P = i^2 r = (J^2) (A^2) R
J = 1/A [tex]\sqrt{P/R}[/tex]
Current density (J) = 1.12 × [tex]10^{5}[/tex]
A material's electrical resistivity, also known as specific electrical resistance or volume resistivity, is a key characteristic that quantifies how effectively it resists electric current. A substance that permits electric current to flow easily has a low resistance. The Greek letter is often used to signify resistivity (rho). Ohm-meters (m) are the metric unit for electrical resistivity. For instance, the resistivity of a material is 1 m if it has sheet contacts on two of its opposing faces and has a 1 resistance between them.
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leveling the amount of work done at each work station is an example of this step in the continuous lean journey?
Leveling the amount of work done at each work station is an example of Value Stream Mapping.
Value stream mapping was developed out of lean manufacturing, which companies use to create a visual guide of all the components required to deliver a product or service for the purpose of analyzing and optimizing the entire process.
The process of creating a value stream map takes all the people, processes, information, and inventory you need and presents them in flowchart form.
Learning core Lean Six Sigma (LSS) tools can help you become more attractive to new employers or increase the value you offer in your current workplace in a number of ways, including:
Useful for career Promotes clear communication and collaboration encourages continuous improvement of processes.Enables cultural change within the organization visualizes delays, overstocks and production.To learn more about Value Stream Mapping apping, refer:
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What are at least two ways that you can get your catapult to increase the horizontal distance of an object launched from it?
Answer:Use Bungee Cord Power. Use the tension of bungee cords as opposed to springs to power your catapult.
Shoot From the Best Angle. Create an arm break that stops the arm at a 45-degree angle from the floor.
Explanation:
Manuel was watching his younger siblings on the swing set. He had just learned about kinetic and potential energy in school. He wondered about energy's role in the back-and-forth movement of a swing. Which statement do you think explains the energy of the swing best
A.When a person is at the highest point of a swing, there is no energy, because he is not moving
B. A person has the most energy at the lowest point of the swing,because there he is moving fastest
C.The total amount of energy remains the same. It just changes from one form to another as the person swings back-and-forth.
Explain your thinking about the energy of the swing.
The total amount of energy remains the same. It just changes from one form to another as the person swings back-and-forth. Statement (C) is true.
What is energy?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another.
When Manuel was watching his younger siblings on the swing set; the motion of swinging is a kind of simple harmonic motion where total energy remains conserved. But kinetic and potential energy are continuously exchanged in simple harmonic motion.
Potential energy is at its peak and kinetic energy is zero when you are farthest from the equilibrium point. The kinetic energy is at its peak and the potential energy is zero at the equilibrium point. The oscillating body's kinetic and potential energy values change at other points in its motion. So, the total amount of energy remains the same. It just changes from one form to another as the person swings back-and-forth.
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A motorcycle travels a certain distance, moving with constant speed of 80 Km/h and in it he spends a time 5 hours. What will be its distance traveled?
☆ Hello ☆
We first apply the data to the problem.
Data:
V = 80km/hT = 5hrsD = ?Then, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (80km/h) • (5hrs)D = 400kmThe distance traveled is 400 kilometers.
Uniform line movement
Rectilinear uniform motion is one in which an object moves in a straight line, it is a single direction, with a constant speed. When we speak of constant speed we mean that the movement maintains the same speed; that is, the object does not move faster or slower, always at the same speed.
We have that the data is:
Speed (V) = 80 km/h
Distance (d) = ?
Time (t) = 5 h
The formula for uniform motion is:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$} }[/tex]
We clear for the distance
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=v*t} \end{gathered}$} }[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=80\ \frac{km}{\not{h}}*5\not{h} } \end{gathered}$}}[/tex]
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=400 \ km} \end{gathered}$}}}[/tex]
Answer: The distance traveled is 400 km✅.To learn:https://brainly.com/question/16513152To learn:https://brainly.com/question/13682534To learn:https://brainly.com/question/17141837To learn:https://brainly.com/question/24000863To learn:https://brainly.com/question/16645603how many elements are pictured a.7 b4 c.3 d2
The number of elements pictured in the above image is 3 (option C).
What are elements?Element are any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
There are about 118 chemical elements, each with its own type of atom. Everything in the universe contains the atoms of at least one or more elements. The periodic table lists all the known elements, grouping together those with similar properties.
According to this question, elements are represented by different colours. Each colour represents each element.
The three colours are as follows:
Red Blue BlackThis means that there are three elements in the above image.
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cellular phones use radio waves to transmit information. if your cell phone uses a frequency of 1900 mhz, what is the wavelength of the electromagnetic radiation emitted by your phone?
With wavelengths of around 10-1000 m, radio waves used by cell phones to communicate with cell towers are far too big to be ionizing. In reality, WiFi runs at very specific frequencies, 2.4 GHz or 5 GHz, which correspond to wavelengths of 12 cm or 6 cm, respectively.
What kind of electromagnetic wave is utilized for mobile phone call transmission?Since radiofrequency waves are electromagnetic fields rather than ionizing radiation like X-rays or gamma rays, they cannot ionize or destroy chemical bonds in living organisms.
The signal is transformed back into the data that was first sent by the transmitter when the radio waves reach a receiver. Your voice is sent through radio waves to the person you are contacting when you use a cell phone as a transmitter.
The primary means of communication between mobile phones and neighboring cell towers is through RF waves, an electromagnetic spectrum energy type.
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calculate the force (in n) needed to bring a 1050 kg car to rest from a speed of 85.0 km/h in a distance of 115 m (a fairly typical distance for a non-panic stop).
The force needed to bring a car to rest from a speed is 2,541 Newton.
The formula in non-uniform motion
v = u + at
v² = u² + 2ad
[tex]d = u \times t + \frac{1}{2} \times a \times t^2[/tex]
u = initial speed (m/s) = 0 m/sv = final speed (m/s) = 85.0 km/ht = time (s)d = displacement (m) = 115 ma = acceleration (m/s)Because the final speed is km/h, we must convert it into m/s
v = 85.0 km/h
v = [tex]85.0 \times \frac{1 \: km}{1 \: hour}[/tex]
v = [tex]85.0 \times \frac{1,000 \: m}{3,600 \: s}[/tex]
v = [tex]\frac{850}{36}[/tex]
v = 23.6 m/s
Calculate the acceleration
v² = u² + 2ad
23.6² = 0² + (2×a×15)
556.96 = 230a
[tex]a = \frac{556.96}{230}[/tex]
a = 2.42 m/s
Formula to find the force F=ma
m = mass (kg) = 1,050 kga = acceleration(m/s)F = force (Newton)F = ma
F = 1,050×2.42
F = 2541 Newton
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a ball is thrown straight up. it passes a 2.45 m high window 7.45 m off the ground on its path up and takes 1.45 s to go past the window. what was the ball's initial velocity (in m/s)?
The ball's initial velocity is 14 m/s
Since the equation of motion we referring to for calculating the initial velocity are :
s=ut+1/2at² ....1
v²= u²+2as .... 2
where u and v are initial and final velocity, t is the time taken, a is the acceleration due to gravity and s is the distance or we can also say the height .As we are given h₁ and h₂ which are 2.45 m and 7.45 m and the time is taken, t which is 1.45 s, and at last we are having a = -9.8ms^-2
using the 2 equations, we get
v₁= √(u²−2gh₁),
from equation 1, we get
h₂ =√(u₂−2gh₁t)−1/2gt₂
there the initial velocity will be:
u= √(((h₂+1/2gt²)/t)²+2gh1
=√(((7.35+1/2*9.80*(1.45)^2)/1.45)^2+2×9.80×2.45)
= 14
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two ice skater, one is 60kg, the other 40kg. when the 60kg man pushes the 40kg woman with 120 n force, what will be the acceleation for the 40kg and 60 kg person respectively?.please enter only the number, no unit!
The acceleration for the 40kg and 60 kg person will be 3 m / s² and - 2 m / s² respectively if the 60kg man pushes the 40kg woman with 120 N force.
F = m a
F = Force
m = Mass
a = Acceleration
For 40 kg woman,
m = 40 kg
F = 120 N
a = F / m
a = 120 / 40
a = 3 m / s²
For 60 kg man,
According to Newton's third law of motion, for every action there will be an equal and opposite reaction. So the 40 kg woman will push back with a force of - 120 N.
a = - 120 / 60
a = - 2 m / s²
The negative sign indicates negative direction.
Therefore, the acceleration for the 40kg and 60 kg person will be 3 m / s² and - 2 m / s² respectively
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