Answer: Newtons third law
Explanation: According to Newton's third law of motion, forces always act in equal but opposite pairs. Another way of saying this is for every action, there is an equal but opposite reaction. This means that when you push on a wall, the wall pushes back on you with a force equal in strength to the force you exerted.
Newton's third law we find that the reaction to the force is an out applied by the putting door towards to the person.
given parameters
Push the door open
to find
The reaction
Newton's third law states that the forces between bodies always occur in pairs, that is, the two bodies interacting with each other, therefore these forces are of equal magnitude, but opposite direction. Consequently each force acts on one of the bodies, these forces are called action and reaction.
By applying Newton's third law to the open door; we exert a force on the door therefore the door exerts a force of equal magnitude, but opposite direction on us.
Using Newton's third law we find that the reaction to the force is an out applied to the person.
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the position of the 10-kg rod ab is controlled by the 2-kg block shown, which is slowly moved to the left by the force p. knowing that there is not friction between all surfaces of contact, calculate the magnitude p of the force for values of x from 900 to 100 mm, using 100-mm decrements. plot p vs x and determine the maximum and minimum values of p and the corresponding values of x
The highest possible The value of a graph, also known as the global maximum, is the location where the graph's y value achieves its absolute maximum.
What plot values of p and the corresponding values of x?To determine the critical point, we shall set the function's first derivative to zero and solve for x. This point's maximum or minimum value can be determined by taking the second derivative, or f”(x). The second derivative will have a minimal value if it is positive.
The two blocks are thought to be in a balance. If we force P to go to £2.69, then there is no maximum value and one piece equals zero. Zero is less than that, hence the system ought to be in equilibrium. If the force p is in at £2.69, then it must be of equal brands. When everyone is balanced.
Therefore, The maximum value for the entire function is at this point. The location on a graph where the y-coordinate has the lowest value is known as the minimal value.
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Which of the following describes the independent variable?
It is called the respondent variable.
It is plotted on the vertical axis when graphed.
It refers to a quantity changed by the experimenter.
It is something that remains controlled during trials.
It refers to a quantity changed by the experimenter.
The independent variable is a variable that is manipulated or controlled by the experimenter in an experiment. It is the variable that is thought to affect the dependent variable, which is the variable being measured or observed in the experiment. The independent variable is plotted on the horizontal axis when graphed, and is often referred to as the predictor variable. The respondent variable is not a commonly used term in scientific research.
considering both static and dynamic (time-dependent) situations, which of the figures represents possible configurations for electric field lines?
A field line is drawn at a location that is perpendicular to the net. Therefore, the tangent to the electric field line at any place coincides with the direction of the electric field there.
What encapsulates the electric field's relative strength?Each field line has a direction written on it with an arrow, just like gravitational field lines do. This direction indicates the direction of the electric field at all places along the field line. The density of the field lines represents the relative field strength.
How do you show the existence of electric field lines?Electric field is a vector quantity, hence a vector arrow can be used to depict it. The length of the arrows at any particular position is inversely proportional to the strength of the electric field there, and they all point in that direction.
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part j bulb r4 is now removed from the circuit, leaving a break in the wire at its position. what is the current in the bulb r1 ? express your answer in amperes. templatessymbols undoredoresetkeyboard shortcutshelp i
I2 = V / R2 = 0.678 A ; I3 = V / R3 = 0.678 A are the current flows in R2 and R3.
Here R1 = R2 = R3 = R4 = 4.43Ω
And E = 9.01 V
When we removed the bulb bearing Ru, the equivalent circuit now becomes as shown.
Now R2 and R3 are in parallel, so their equivalent resistance
1/Rp = 1/R2 + 1/R3
Rp = 2.215 Ω
Again, R1 is connected Rp in series so equivalent resistance
R = R1 + Rp = 6.645 Ω
Current through ‘R1’ is
I1 = V / R = 9.01 / 6.645 = 1.356 A
Potential across R2 and R3 is
V = E – I1R1 = 3.0033V
So current through R2
I2 = V / R2 = 0.678 A
Current through R3
I3 = V / R3 = 0.678 A
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a projectile with two times the mass is placed into the launcher out with the same initial velocity would this change the range
Yes, the range would change. Since the mass of the projectile has doubled, its momentum has also doubled.
What is momentum?Momentum is the measure of an object's resistance to changes in its state of motion. It is a vector quantity, meaning it has both magnitude and direction. Momentum is calculated by multiplying the mass and velocity of an object. Momentum is conserved, meaning that the total momentum of a system remains constant, even if the individual momentum of each object within the system changes. In a collision between two objects, the total momentum before the collision is equal to the total momentum after the collision. Momentum is a powerful concept and has many applications in physics. For example, it is the basis for the laws of motion, the conservation of energy, and the study of planetary motion.
Since momentum is conserved, the projectile's velocity after launch will be reduced. This in turn will reduce the range of the projectile, as it will not be able to travel as far with a lower velocity as it would with a higher velocity.
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This range would increase 4 times.
What does the term "projectile motion" refer to?
The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.
The projectile's motion is divided into two parts: vertical motion and horizontal motion. Furthermore, since perpendicular components of motion are not reliant on one another, it is necessary to discuss each of these two components of motion independently.
Range of projectile is R=(vi²sin2∅)/g
So when the velocity is doubled, Range R will be
I.e R'= ((2Vi)²sin2∅)/g
R'=4(Vi²sin2∅)/g
R'=4R
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8. Consider the following equation: IQ (MA/CA) X 100. What does the MA stand for?
m-factor
mental age
male factor
multiple factor
Answer:
In the equation IQ (MA/CA) X 100, the MA stands for mental age. Intelligence quotient (IQ) is a measure of cognitive ability that is often calculated using the ratio of an individual's mental age to their chronological age, multiplied by 100. In this equation, MA refers to the individual's mental age, which is their level of cognitive development as measured by an intelligence test. CA refers to their chronological age, which is their actual age in years. The ratio of these two values is used to calculate their IQ score.
10. Which of the following statements BEST describes emotional intelligence?
Emotional intelligence is easily assessed.
Emotional intelligence relies on instincts to solve problems.
Emotional intelligence is closely correlated with verbal ability.
Emotional intelligence is the ability to manage personal feelings well and socially more adept.
In an experiment, a student measured the volume of a substance while the mass was changed. The student measured up to five kilograms. The graph of the data is plotted below.
A volume versus mass graph is shown with mass on the vertical axes from 1 to 10 kilograms and volume on the horizontal axis from 1 to 5 milliliters. A line from the origin through all points and beyond.
Which of the following is an error the student made in creating an accurate graph?
The axes and graph are based only on measured values.
The axes are labeled with the incorrect variables.
The plotted points do not show all data collected.
The title has the incorrect order for the variables.
The title has the incorrect order for the variables.
The error in the graph is that the title has the incorrect order for the variables. Therefore, option D is correct.
Variables are factors or quantities that can change or be manipulated and have an effect on the outcome of an experiment or the behavior of a system. They are essential in scientific investigations as they allow researchers to study and understand the relationships and dependencies between different factors.
There are two types of variables and that are independent variables and dependent variables. They provide a systematic way to investigate cause-and-effect relationships and understand patterns.
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consider the following two-step process. heat is allowed to flow out of an ideal gas at constant volume so that its pressure drops from 2.2 atm to 1.4 atm. then the gas expands at constant pressure, from a volume of 5.9 l to 9.3 l, where the temperature reaches its original value. (see figure(figure 1)).
(a) The gas moves from point a to point b in an isochoric process in which the volume stays constant.
The work done when the gas moves from point A to point B is Wab = PV = 0.
The labor involved in getting the gas to boil, Wbc = PV = 1.4. (9.3 - 5.9) L.atm = 4.76 1 L.atm is equal to 101.325 J.
Work completed, ∆W = 101.325 × 4.76 = 482.3 J
Therefore, the process' overall work was a, b, and c.
Wtotal = 0 plus 482.3 J = 482.3 J (Ans) (Ans)
(b) As previously stated, point C is where the gas temperature returns to its initial value.
As a result, in the process ac through b, the gas doesn't undergo any temperature change.
Tfinal = Tinitial
Therefore, internal energy change U = 0.
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2. A diverging lens has a focal length of 2.5 cm. If it is placed 4.0 cm from an object, at what distance from the lens will the image be located? Is the image bigger or smaller? Is it real or virtual?
The image distance is 0.65 cm and the image is real but diminished.
What is a diverging lens?We know that for the diverging lens the light appears to be diverged from the source that it come in through. The focal length of the diverging lens is negative and the lens formula is used.
We have;
1/f = 1/u + 1/v
f = focal length
u = object distance
v = image distance
-1/2.5 = 1/4 + 1/v
1/v = 1/4 + 1/2.5
v = 0.25 + 0.4
v = 0.65 cm
The image is real but it is smaller than the object.
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a copper bar of length and negligible resistance slides at constant speed along metal rails. the bar is moving through a region in which there is a uniform magnetic field directed out of the page. a voltmeter is connected across a resistor of resistance . the resistor is connected to the metal rails as indicated in the diagram. (a) determine the magnitude of the magnetic force acting on the bar and indicate the direction of this force on the diagram. your answer should be in terms of the given variables and known constants.
The magnitude of the magnetic force acting on the bar , Fb is calculated to be = ILB.
What do you understand by magnetic force?Magnetic force is defined as attraction or repulsion that arises between electrically charged particles because of the motion.
Given length , L and negligible resistance
uniform magnetic field, B
a) To determine the magnitude of the magnetic force acting on the bar:
If rod slides down with constant velocity then total force is zero
X direction Fb - NsinФ
= Fb = NsinФ
Y direction, mg - NcosФ
mg = NcosФ
Now, Fb/mg = sinФ / cosФ
Fb = mg tanФ
But: Fb = I L B sinФ
The magnitude of the magnetic force acting on the bar , Fb = ILB.
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Define the term e.m.f
EMF is the Electromotive force. It is the electric potential difference which is produced by the cell or the surrounding magnetic field.
What is EMF?
Electromotive force is also known as electromotance or EMF. It is an energy transfer to an electric circuit per unit of the electric charge of the cell or the magnetic field. It is measured in units of volts. Devices which are used to measure electromotive force is called electrical transducers which provide an EMF by converting other forms of energy in the cell into electrical energy.
Other electrical equipment which can also produce an electromotive force, such as the batteries, also convert chemical energy, and generators, the devices which convert mechanical energy. This energy conversion can be achieved through physical forces that are applied physical work on electric charges. However, the electromotive force itself is not a physical force, and for the current ISO/IEC standards that consider the term deprecated, favoring the names which source voltage or source tension instead.
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Identify the 5 stages of mitosis:
Phase
Picture
What happens
________
Chromosomes are visible, nuclear membrane breaks down, spindle fibers begin to form.
________
Sister chromatids line up at the center of the cell.
________
Sister chromatids are pulled apart and move to opposite poles of the cell.
________
Spindle fibers breakdown, nuclear membrane forms, and chromosomes begin to uncoil and form chromatin.
________
Cytoplasm splits in 2 and the cell divides.
Answer:
the first one is Interphase
the second one is prophase
the third one is metaphase
the fourth one is Anaphase
the last one is Telophase
a boy whose weight is 600N runs up a fight of stairs 10m high in 12s. what is his average power
[tex]p = \frac{w}{t} [/tex]
[tex]w = fdcosθ [/tex]
where p is power
w is work done
t is time in seconds
f is force
d is distance
f=600N
d=10
t=12
w=600 X 10
w=6000 Nm
p=6000/12
p=500 watts
Important Formulas:
[tex]w=Fd[/tex]
[tex]p=\dfrac{w}{t}[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
power(measured in watts) = work(measured in joules) / time(measured in seconds)
__________________________________________________________
Given:
[tex]F=600N[/tex]
[tex]d=10m[/tex]
[tex]t=12s[/tex]
[tex]p=?[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=600\times10[/tex]
[tex]w=6000J[/tex]
__________________________________________________________
Finding power:
[tex]p=\dfrac{w}{t}[/tex]
[tex]p=\dfrac{6000}{12}[/tex]
__________________________________________________________
[tex]\fbox{p = 500 watts}[/tex]
A length of wire is connected to a 9.0 V power pack and an ammeter. The reading on the ammeter is 0.25 A.
Calculate the resistance of the wire. Give the unit.
The resistance of the wire, given that it is connected to a 9.0 V power pack and an ammeter is 36 ohms
How do I determine the resistance?From Ohm's law, we understood that the voltage, current and resistance are related according to the following formula:
Voltage (V) = Current (I) × resistance (R)
V = IR
Using the above formula, we can obtain the resistance of the wire as follow:
Voltage (V) = 9.0 VoltsCurrent (I) = 0.25 AResistance (R) = ?Voltage (V) = Current (I) × resistance (R)
9 = 0.25 × resistance
Divide both sides by
Resistance = 9 / 0.25
Resistance = 36 ohms
Thus, we can conclude that the resistance of the wire is 36 ohms
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The force of friction oil an airplane in level flight is given by Ff = kv^2, where k is some constant, and v is the speed of the airplane. When the power output from the engines is P0, the plane is able to fly at a speed v0. If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed given by (A) 1.12v0 (B) 1.26v0 (C) 1.41v0 (D) 2.82v0 (E) 8v0
If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26[tex]v_{0}[/tex].
As, P = F v
So, P = kv³
Then, v/v0 = [tex]\sqrt[3]{P/P0}[/tex].
Therefore, after substituting the values, the speed will be 1.26[tex]v_{0}[/tex].
What is power?
In physics, power is the amount of energy transferred or converted per unit of time. In the International System of Units, the unit of power is the watt, which is equivalent to 1 joule per second. In older works, force is sometimes called activity. Power is a scalar quantity.
Power is related to other quantities. For example, the power required to move a ground vehicle is the product of drag, wheel traction, and vehicle speed. The power of a motor is the product of the torque produced by the motor and the angular velocity of the output shaft. Similarly, the power dissipated in an electrical element of a circuit is the product of the current through the element and the voltage across the element.
If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26[tex]v_{0}[/tex].
As, P = F v
So, P = kv³
Then, v/v0 = [tex]\sqrt[3]{P/P0}[/tex].
Therefore, after substituting the values, the speed will be 1.26[tex]v_{0}[/tex].
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28. A car is traveling east at an unknown initial velocity. Without changing directions, it accelerates at 0.75 m/s²
for a distance of 300 m, increasing its velocity to 30 m/s. What was the initial velocity of the car?
Answer: 13 m/s.
Explanation: To solve this problem, we need to use the equation for motion with constant acceleration:
d = v₀t + 1/2 at²
where d is the distance traveled, v₀ is the initial velocity, t is the time it takes to travel that distance, and a is the acceleration.
Since we know the distance the car travels (300 m), the final velocity of the car (30 m/s), and the acceleration of the car (0.75 m/s²), we can solve for the initial velocity. We just need to rearrange the equation to solve for v₀:
v₀ = (d - 1/2 at²) / t
In this case, we can plug in the known values to find the initial velocity:
v₀ = (300 - 1/2 * 0.75 * t²) / t
Since the final velocity of the car is 30 m/s and the acceleration is 0.75 m/s², we can use the equation for motion with constant acceleration to find the time it takes for the car to travel 300 m:
v = v₀ + at
30 = v₀ + 0.75t
Rearranging to solve for t, we get:
t = (30 - v₀) / 0.75
Substituting this value for t in the equation for the initial velocity, we get:
v₀ = (300 - 1/2 * 0.75 * ((30 - v₀) / 0.75)²) / ((30 - v₀) / 0.75)
This simplifies to:
v₀ = (300 - 1/2 * 0.75 * (900 - 2v₀) / 0.75) / (30 - v₀)
which simplifies further to:
v₀ = (300 - 675 + v₀) / (30 - v₀)
Solving for v₀, we get:
v₀ = -375 / -29
which simplifies to:
v₀ = 13 m/s
Therefore, the initial velocity of the car is 13 m/s.
Given the temperature data shown, which of these ecosystems is definitely in the northern hemisphere
answer choices
Daly Waters
Iquitos
Tindouf
These are all in the southern hemisphere
The ecosystem that is present in the northern hemisphere is Tindouf
Tindouf is the capital of Algeria's Tindouf province, a city close to the borders of Mauritania, Western Sahara, and Morocco which is located in the northern hemisphere. From the chromatogram drawn by Teresa Glass, we concluded that the city of Tindouf, Algeria is a desert biome with very low winter precipitation and high temperatures. This region is of strategic importance. It has an Algerian military base and airport, with regular flights to Algiers and other domestic destinations. Garet Djebilet's settlement is located in his Tindouf municipality near the border with Mauritania. The settlement has an iron mine and an abandoned airport, and is located about 70 kilometers northwest of Awinetbel his Egla.
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An object with charge -q is in motion near a wire that has a current I to the right. At the instant show in the figure, the object is traveling to the right with speed v. Both the wire and the motion of the object are in the plane of the page. Which of the following statements is true about the force on the object due to the current I at the instant shown?
O The force is directed toward the top of the page
O The force is directed toward the bottom of the page.
O The force is directed toward the right.
O There is no force on the object due to the current.
The correct answer is option A). The force is directed toward the top of the page.
When an object with charge q is moving near a wire with current I, the object will experience a force due to the magnetic field generated by the current in the wire. The direction of this force is determined by the right-hand rule.
According to the right-hand rule, if you point your right thumb in the direction of the current and your fingers in the direction of the motion of the charged object, the force on the object will be in the direction your palm is facing.
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(1) Relief valves are used in pneumatic systems as damage-preventing units.
(2) Check valves are used in both hydraulic and pneumatic systems.
Regarding the above statements,
Both No.1 and No. 2 are true.
neither No. 1 nor No. 2 is true.
only No. 1 is true.
(1) Relief valves are components used in pneumatic systems to prevent harm. (2) Pneumatic and hydraulic systems both employ check valves. A- Both Nos. 1 and 2 are accurate in relation to the aforementioned assertions.
What do scientific units mean?Any standard that is used to compare measurements is referred to as a unit. Measurements of a property that have been taken using various units—for example, inches to centimeters—can be accommodated using unit conversions.
What does SI mean in science?The metric system, sometimes referred to as the SI, is the accepted unit of measurement on a global scale. World Metrology Day is an international holiday commemorating the signing of the International Treaty of the Meter in Paris on May 20, 1875, by seventeen nations, including the United States.
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Which statement is true
Cells usually take in large food molecules
Cells can get energy by breaking down molecules from food
Cells use energy to help an organism grow and live
Breaking down molecules does not release energy
A 47.0 kg cheetah can run with a speed of 31.0 m/s. What is the cheetah's kinetic energy?
Answer:
22,583.5 J
Explanation:
KE = 1/2mv²
KE = 1/2(47 kg)(31.0 m/s)² = 22,583.5 J
Keisha writes that if an object has any external forces acting on it, then the object can be in dynamic equilibrium but not static equilibrium.
The statement best describes Keisha's error is an object in either state of equilibrium must have no net force acting on it. The correct option is D.
What is dynamic equilibrium?
When a system is in a state of dynamic equilibrium, the reversible reaction that is occurring in it no longer changes the ratio of reactants to products, but there is still the movement of substances between the reactants and products.
Because the thing will be moving, it won't be at rest. An object is considered to be static when it is at rest. The external forces that are acting on an object are what will make it move. When external forces are no longer acting on the object, it will travel up to that point.
Therefore, the correct option is D, An object in either state of equilibrium must have no net force acting on it.
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The question is incomplete. Your most probably complete question is given below:
Which statement best describes Keisha's error?
An object that is not moving is always in static equilibrium.
O An object that is moving must be in dynamic equilibrium.
An object in either state of equilibrium must have no forces acting on it.
An object in either state of equilibrium must have no net force acting on it.
why is there no gap in earths crust?
btw this is science it just doesn't appear as science in aa suubject
There is no gap in Earth's crust due to presence of magma beneath the Earth crust which usually erupt to fill the gap in the Earth crust.
What is great unconformity in Earth's crust?There is a temporal gap that exist in Earth's known as the great unconformity.
The great unconformity is a massive temporal gap that can be found famous crevasse and also in most places on the Earth's crust.
However, the great unconformity describes the temporal gap that exist in earth crust which disappears with time.
The presence of magma beneath the earth's crust ensures that there is no gap in Earth's crust as the magma always erupt upward to fill any gap between the Earth's crust and create new crust.
Thus, there is temporal gap in earth crust which disappears with time due to molten magma that erupts to fill the gap and create new crusts.
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speed of light is always the same no matter how fast you are moving is very strange and counterintuitive. t/f
The statement "the speed of light is always the same no matter how fast you are moving" is true. This phenomenon is known as the constancy of the speed of light.
According to the theory of relativity, the speed of light in a vacuum is a constant value that is independent of the motion of the observer. This means that no matter how fast you are moving, you will always measure the speed of light to be the same value.
This idea may seem strange and counterintuitive, but it has been experimentally verified and is now a fundamental principle of modern physics. It has important consequences for our understanding of the nature of space and time, and it has played a key role in the development of many important scientific theories, including the theory of relativity.
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The three bins represent three important properties of stars. Drag the items that we must measure in orrder to determine each property into the appropriate bin. distance orbital period in binary system apparent brightness orbital distance in binary system color or spectral type Luminosity Surface Temperature Mass
LUMINOSITY, distance, perceived brightness, surface temperature, -color or spectral type, MASS, -orbital period in binary system, -orbital distance in a binary system.
What does mass mean in a definition?In physics, mass is a quantitative measure of inertia, a basic characteristic of all matter. It is essentially the resistance a body of matter gives to a change in its speed or location as a result of the application of a force.
What is the ideal description of mass?A measurement of the volume of material that makes up or is contained within a physical body. Newton's laws of motion are based on classical mechanics, which relates an object's mass to the force needed to accelerate it and, consequently, to its inertia.
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A circular loop of wire is positioned half in and half out of a square region of uniform magnetic field directed in the +z direction, out of the paper, as shown in the following figure. To induce a counterclockwise current in this loop
To induce a counterclockwise current in the circular loop of wire, you can use Faraday's law of electromagnetic induction.
Faraday's law states that the induced electromotive force (emf) in a closed circuit is equal to the negative of the rate of change of the magnetic flux through the circuit.
In this case, the magnetic field is directed out of the paper and is uniform within the square region. As the loop of wire is positioned half in and half out of the square region, the magnetic flux through the loop will change as the loop moves or as the magnetic field strength changes. This change in magnetic flux will induce an emf in the loop, which will cause a current to flow in the wire.
The direction of the current will be determined by Lenz's law, which states that the induced current will be in the direction that opposes the change in magnetic flux. Since the magnetic field is directed out of the paper and the loop is moving counterclockwise, the induced current will flow counterclockwise.
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In an experiment, a student measured the volume of a substance while the mass was changed. The student measured up to five kilograms. The graph of the data is plotted below.
A volume versus mass graph is shown with mass on the vertical axes from 1 to 10 kilograms and volume on the horizontal axis from 1 to 5 milliliters. A line from the origin through all points and beyond.
Which of the following is an error the student made in creating an accurate graph?
The axes and graph are based only on measured values.
The axes are labeled with the incorrect variables.
The plotted points do not show all data collected.
The title has the incorrect order for the variables.
Answer:
Answer:
let the first point be a second be b third be c fourth be d and last point be e.
The point a and d are incorrect. because tye plotting of the is incorrect
A professor wants to conduct a study to investigate which kind of note-taking technique (hand-written or computer-based) is better for memory and recollection. He decides to split his class into two groups - hand-written notes and computer-based notes - and measure better memory and recollection via the next exam scores. The two note-taking groups are what variable in the study?
independent variable
dependent variable
control variable
extraneous variable
According to the professor's research, both handwritten notes and computer-based notes qualify as independent variables.
The professor's study considers handwritten notes and computer-based notes to be independent variables. These other qualities will be examined to see if they change depending on note-taking technique, including better memory and exam recall.
What kinds of variables are the groupings for taking notes?
Because they are being examined for their potential to influence other factors, the note-taking groups that use handwritten and computerised notes are regarded as independent variables.
Better exam memory and recall are those other variables, and their changes in response to note-taking methodology will be investigated.
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A 6.5-N ball is thrown with an initial velocity of 20 m/s at a 35° angle from a
height of 1.5 m.
a. What is the velocity of the ball if it is caught at a height of 1.5 m?
b. If the ball is caught at a height of 1.5 m, how much mechanical work is
required?
Answer:
a. The velocity of the ball, if it is caught at a height of 1.5 m, is [14.9, 19.7] m/s.
To find the velocity of the ball if it is caught at a height of 1.5 m, we can use the equation:
vf^2 = vi^2 + 2ad
Where vf is the final velocity, vi is the initial velocity, a is the acceleration due to gravity (-9.8 m/s^2), and d is the change in position.
Plugging in the values given in the question, we get:
vf^2 = 20^2 + 2*(-9.8 m/s^2)*(1.5 m)
Solving for vf, we get:
vf = [14.9, 19.7] m/s
b. If the ball is caught at a height of 1.5 m, the mechanical work required is 0 J.
To find the mechanical work required, we can use the equation:
work = force * displacement
Plugging in the values given in the question, we get:
work = 6.5 N * (1.5 m - 1.5 m)
Solving for work, we get:
work = 0 J
Therefore, if the ball is caught at a height of 1.5 m, the mechanical work required is 0 J.