The magnitude of the change in momentum of the puck is 5 kg m/s.
What does momentum actually mean?The concept of momentum is "mass in motion." Because every item has mass, when it is moving, it has to have momentum since its mass has been in motion. The amount of motion and the speed of a motion are the two factors that influence how much momentum an item generates.
the solution is -
Let us assume that the direction away from hockey stick be +x axis(that is +î) and towards hockey stick be -ve x-axis(that is -î).
The puck's initial speed is then Vi = -6.4 î m/s ( that is towards hockey stick)
Final velocity of the puck, Vf = + 3.6 î m/s ( that is away from the hockey stick)
puck's mass , m = 0.5 kg
Time of contact of puck with hockey stick = Time required in change in momentum of puck to take place,∆T= 0.05 s
Initial momentum, Pi = m × Vi = 0.5 × -6.4 î kg m/s =-3.2 î kg m/s
Final momentum, Pf = m × Vf = 0.5 × + 3.6 î kg m/s= +1.8 î kg m/s
Change in momentum = ∆P= Pf - Pi =+1.8 î -(-3.2 î) kg m/s = + 5 î kg m/s
Therefore, the magnitude of change in momentum = 5 kg m/s.
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Javier is trying to lift a heavy old television. He is pulling up on the television with a force of 500N. Earth's gravity is pulling down on the television with a force of 500N.
The statement describes the forces on the television is (A). The forces are balanced, so there is no net force on the television. Javier's pulling force is equal to gravitational force.
How to add the forces inline?The forces that are inline can be added up. The force that has the opposite direction is negative.
We have
The pulling force, Fp = + 500 NThe gravitational force, Fg = - 500 NThe net force would be
∑F = F + Fg
∑F = 500 N + (-500) N
∑F = 0 N
Hence, the forces are balanced and the net force is zero.
Your question is incomplete, but most probably your full question was
Javier is trying to lift a heavy old television. He is pulling up on the television with a force of 500N. Earth's gravity is pulling down on the television with a force of 500N.
Assume all other forces on the television are balanced. Which statement describes the forces on the television?
The answer choices are
(A) The forces are balanced, so there is no net force on the television.
(B) The forces are unbalanced, so there is a net force on the television.
(C) The forces are unbalanced, so there is no net force on the television.
(D) The forces are balanced, so there is a net force on the television.
The answer is (A).
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Why does sexual harassment at school often go unreported?
1. The victim feels empowered.
2. The victim knows others who were harassed.
3. The victim fears that others will not believe the report.
4. The victim enjoys the offender’s attention.
Answer:
My answer is 3 because this happend to someone I know
Explanation:
what is the gauge pressure at a depth of 6 cm in a glass filled with 4 cm of mercury and 4 cm of water? water has a density of 1000 kg/m3, and mercury has a density 13.6 times as great.
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
How does mercury become made?About 4.5 trillion years ago, gravity brought together spinning gas and debris to create Mercury, the small planet closest to the Sun. Mercury has a solid crust, a steep slope, and a central core, just like its sibling terrestrial planets.
Calculation
The pressure due to the mercury of height h = 64 cm = 0.64 m is
P = ρ₁gh₁ where ρ₁ = density of mercury = 13600 kg/m³
P = 13600 kg/m³ × 9.8 m/s² × 0.64 m = 85299.2 Pa
Since this is the same pressure for the water,
P = ρ₂gh₂ where ρ₂ = density of water = 1000 kg/m³ and h₂ = height of
water
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
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a person in a car during a sudden stop can experience potentially serious chest injuries if the combined force exerted by the seat belt and shoulder strap exceeds 16,000 n. describe what it would take to avoid injury by estimating (a) the minimum stopping time interval and (b) the corresponding stopping distance, assuming an initial speed of 16 m/s. indicate any other assumptions you made.
minimum time interval to stop should be = 0.08 seconds whereas the friction minimum stopping distance = 0.64 m.
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What is frictional force, exactly?
Two surfaces that come into contact and glide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
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This position-time graph describes an object's motion. Use it to predict the time
(in s) that the object will be at a position of 20.0 meters.
Help please!
Answer:
18.9 seconds
Explanation:
See the attached worksheet. Since the desired information is outside the range of the graph, develop the equation of the line that is drawn. From that equation [y = (9/10)x+3] the time required to travel 20 meters is foind to be 18.9 seconds.
a roller-coaster's largest drop is 50.0 meters. assuming it starts from rest, what is the speed of the car (in m/s) at the bottom of this drop?
The speed of the car at the bottom of the drop is 980 m/s. The result is obtained by using the concept of conservation of mechanical energy.
What is law of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E₁ = mechanical energy at point 1E₂ = mechanical energy at point 2m = mass of an objectv₁ = velocity of object at point 1v₂ = velocity of object at point 2h₁ = height of object at point 1h₂ = height of object at point 2A roller coaster's largest drop is 50.0 m starts from the rest. Find the speed at the bottom of that drop!
The case is similar to an object falling down without initial speed.
We have
h₁ = 50.0 mv₁ = 0At the bottom of the drop, the height is zero. So, h₂ = 0.
The speed of the car at the bottom would be
½mv₁ + mgh₁ = ½mv₂ + mgh₂
0 + 9.8(50) = ½v₂ + 0
490 = ½v₂
v₂ = 490 × 2
v₂ = 980 m/s
Hence, at the bottom of the drop, the speed of the car is 980 m/s.
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a coin is fixed in place on a turntable, 0.11 m from the axis of rotation. when the angular speed of the turntable reaches 36 revolutions per minute, the coin slides off. determine the coefficient of static friction between the coin and the turntable.
We have sg=v2/r v=2rf where f =36/60 s(9.8 m/s2)=(2*.11m*(35/60)) since the masses cancel when Ff =macsmg =mv2/r. 2/0.11m finds = .15 A coin falls off the turntable's static friction force with regard to coin.
What do you call friction?The force of friction is influenced by outside forces. The two elements that friction depends on are as follows: 1. Regarding the makeup of the contact objects in touch. The two sides that are in touch with one other's depend on each other for friction.
What makes friction popular?In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole.
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A large pendulum (4.0 kg) is moving at 2.0 m/s and has mechanical energy of 68.0 J. What is the height of the pendulum in meters?
Answer:
Explanation:
m = 4.0 kg
v = 2.0 m/s
g = 10 m/s²
Mechanical energy of the pendulum = 68.0 J
Mechanical energy of the pendulum = Potential energy of the pendulum + Kinetic energy of the pendulum
mgh + 1/2 mv² = 68
4 × 10 × h + 1/2 × 4 × 2 × 2 = 68
40 h + 8 = 68
40 h = 68-8
40 h = 60
h = 60 / 40
h = 3/2 m
h = 1.5 m
when a person abducts the shoulder to 90 degrees, then moves the arm backward, what is that motion called
When a person abducts the shoulder to 90 degrees, then moves the arm backward, that motion called horizontal abduction.
The transverse plane movement of the arms away from the body's midline is known as horizontal abduction. Consider lowering the pec fly as an example. Higher ball velocity has been linked to greater horizontal abduction during foot impact.
The movement of the arms across the body in a horizontal plane is known as horizontal abduction. Moving in the transverse plane, starting with the arms straight to the front (shoulders flexed at 90 degrees), and ending with the arms straight out to the side (flexed at 90 degrees).
Arm abduction is the coronal plane movement of the arm away from the midline of the body, and unilateral abduction is typically possible between 160° and 180°.
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1. suppose an mp air mass moving eastward from the pacific ocean travels across the united states. describe all of the modifications that could take place as this air mass moves eastward in winter.
Eastward moving air mass across the US in the winter may cool, pick up moisture and pollutants, and interact with other weather systems, leading to changes in temperature, humidity, precipitation and wind patterns.
As an air mass moves eastward from the Pacific Ocean across the United States in the winter, several modifications could take place. The air mass may cool as it moves over land, causing any moisture present to condense and potentially leading to precipitation.
Additionally, the air mass may pick up moisture from bodies of water such as lakes and rivers, increasing its humidity. As the air mass moves over different types of terrain and land cover, it may also pick up pollutants from human activities such as industrial emissions and automobile exhaust.
The air mass may also interact with other weather systems, such as cold fronts or high pressure systems, which could further modify its temperature, humidity, and wind patterns.
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the diameter of mars is about 1/2 the diameter of earth and its mass is about 1/10 the mass of earth. find the gravitational acceleration on the surface of mars.
The gravitational acceleration on the surface of mars is 3.71 m/s²
What is gravitational acceleration?
Gravitational acceleration is the rate at which an object accelerates when it is subjected to a gravitational force. It is usually denoted by the symbol g and is represented by the equation g = GM/r2, where G is the universal gravitational constant, M is the mass of the object, and r is the distance between the object and the attracting body.
Gravitational acceleration (g) = (Gravitational Constant * Mass of Mars) / (Radius of Mars)^2
g = (6.67 x 10^-11 m^3 kg^-1 s^-2 * 6.39 x 10^23 kg) / (3.38 x 10^6 m)^2
g = 3.71 m/s^2
Therefore, The gravitational acceleration on the surface of mars is 3.71 m/s²
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when a building load, or force, acts on a building component, such as a column, the component takes on an internal resistance to the force known as .
When a building load, or force, acts on a building component, such as a column, the component takes on an internal resistance to the force known as stress. .
What is stress?Stress is a measure of the internal resistance of a material to applied forces. It is calculated as the force per unit area. Stress can cause a building component to bend, stretch, or compress, and can ultimately lead to failure if the stress exceeds the material's strength.
What are the types of stress?There are two types of stress: tensile stress and compressive stress. Tensile stress is the stress that causes a material to stretch, while compressive stress causes a material to shrink or compress. Additionally, shear stress is a type of stress that causes a material to slide or deform along a plane, it's usually found in structures such as bridges, buildings, and towers.
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Select the correct image.Mathew is simulating forces on a simple machine. He runs four tests as shown. Which test illustrates a balanced net force?
Test 4 illustrates a balanced net force as both the forces acting in opposite directions are equal in magnitude.
Net force is zero in image depicted by test 4. Thus, the forces acting in opposite direction, upward and downward, can be considered as balance forces. Equal in size and directed oppositely, balanced forces are those. One definition of equilibrium is a state of balanced forces. When the forces are in balance, there is no change in direction.
While balanced forces can keep an object at rest or moving at a constant speed, unequal forces can cause objects to accelerate. We are brought back to remember the condition of weight in order to comprehend this as :
F = ma,
where the magnitude of Force is equal to the product of the mass and the acceleration due to gravity.
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a student in an electronics lab is studying the electrical properties of pieces of graphite. the student applies a potential difference of 24 v across the length of a cylindrical piece of graphite with a radius of 0.5 mm. the student has another piece of graphite of the same length but with a radius of 0.7 mm. the student wants the same current in both pieces of graphite. what potential difference should the student apply across the 0.7 mm piece?
The student should apply a 17V potential differential across the 0.7 mm piece.
How may potential differences be found?The potential difference between places A and B is defined as the change in potential energy (PE) of a charge (q) transported from A to B, divided by the charge (V = VB - VA).
The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.
The change in potential energy (PE) of a charge (q) transported from point A to point B, divided by the charge, is thus used to determine the potential difference between points A and B as V = VB - VA.
Volt is the SI unit for electrical potential. V stands for it.
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a ball is launched from a cliff 50 m high with a velocity of 25 m/sec at 37o above the horizontal. how fast will it be moving when it hits the ground?
The 15.04 m/s fast will it be moving when it hits the ground.
What is velocity ?An object's velocity is a key factor in determining its position and rate of motion. It is comprehensible as the distance an object moves in a single interval of time. The term "velocity" describes how far an object travels in a predetermined length of time.
What is mass ?Measuring inertia, a property of all stuff that cannot be changed. What a body of matter is in essence is the resistance it provides to a change in its speed or location brought about by the application of a force.
The vertical component of velocity is given by
usinθ
Here,u=25m/s and θ=37°
So,vertical component will be 25sin37°
And on further solving it would be 15.04 m/s.
Therefore, 15.04 m/s fast will it be moving when it hits the ground.
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a potential divider circuit contains a light dependent resistor (ldr), a fixed resistor (r) and a fixed input voltage (vin). the amount of light falling on the ldr is gradually decreased. which statement correctly describes the changes in the resistance of the ldr and the potential difference across it (vout)?
Its resistance generated by the LDR rises as the light level drops.The voltage drop across the LDR also rises as a result of this resistance's growth relative to the other resistor's fixed resistance.
Why does LDR's resistance diminish with fall?The photo conductivity concept governs how a light-dependent resistor functions.Electrons become excited and escape the valance band to inhabit the conduction band when light, or photons, strike the material.Conduction band electrons raise conductivity and lower resistance.
What occurs to the LDR's resistance as the light intensity rises?The resistance of the LDR reduces as light intensity rises, which lowers the voltage differential across the LDR.
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9. Two objects A and B move toward each other with speeds of 80 cm/s and 20 cm/s, respectively. The
mass of A is 140 g and that of B is 60 g. After a head-on, perfectly elastic collision, the speed of
object B is
8.0 cm/s
20 cm/s
92 cm/s
a.
b.
C.
d. 1.2 m/s
m₁
Hom
m2
hinnt of mass m= 4.0 kg by a compressed
After a head-on, perfectly elastic collision, the speed of object B is 1.2 m/s.
What is law of conservation of momentum?
According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
After a head-on, perfectly elastic collision, the speed of object B is
= - 20 {(60-140)/(60+140)} + 80 {(2×140/(140+60)}
= 120 cm/s
= 1.2 m/s.
Hence, the speed of object B is 1.2 m/s. Hence, option (d) is correct.
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a motor that does 24 000] of work in two minutes
The power of a motor that does 24 000 J of work in two minutes is 200 watts.
Give a brief account on Power?Power is the rate at which energy is transferred, used, or transformed. It is often measured in units of watts (W) or horsepower (hp). Power can also refer to the ability or capacity to do something, such as the power of a ruler to govern or the power of a machine to perform a specific task. In physics, power is defined as the amount of work done per unit of time.
The power output of that motor would be 24,000 joules per two minutes, or 12,000 joules per minute (24,000/2). To convert to watts, divide by the number of seconds per minute, which is 60. Therefore, the power output of the motor is 200 watts (12,000/60).
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The complete question is:
whether or not an object (such as a plate, glass, or bone) breaks upon impact depends on the average force exerted on that object by the surface. when a 1.3 kg glass figure hits the floor, it will break if it experiences an average force of 348 n. when it hits a tile floor, the glass comes to a stop in 0.013 s. from what minimum height (in m) must the glass fall to experience sufficient force to break?
Minimum height is approximately 0.35 meter to experience sufficient force to break.
Let's use the following equation to calculate the glass figure's acceleration.
F = m * a
-712 = 3.8 * a
a = -712 ÷ 3.8
This is equivalent to -187 m/s2. Let's use the equation below to calculate the glass figure's speed shortly before the force was applied.
vf = vi + a*t
0 = vi + (-712 ÷ 3.8) * 0.014
vi = (712 ÷ 3.8) * 0.014
This is equivalent to 2.62 m/s. Let's use the equation below to calculate how far the glass figure must fall for it to reach this velocity.
Vi = 0 m/s, and vf2 = vi + 2 * g + d
[(712 ÷ 3.8) * 0.014]^2 = 2 * 9.8 * d
d = [(712 ÷ 3.8) * 0.014]^2 ÷ 19.6
This is approximately 0.35 meter.
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find μs, the coefficient of static friction between the rod and the rails. A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass 20.0 g and electrical resistance 0500 1 rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L = 800 cm apart. (Figure 1) The rails are also connected to a voltage source providing a voltage of V = 500 V. The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B = 0.123 T . Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9.80 m/S^2 for the magnitude of the acceleration due to gravity.
The coefficient of static friction between the rod and the rails is 502.04.
What is the formula for static friction coefficient?The resistive force of friction (Fr), which pushes the objects together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula used, fr = Fr/N.
Given,
Mass of metal rod = 20.0 grams to kg = 0.02 kg
Resistance = 0.5 Ohms
Distance, L = 800 cm to m = 0.8 m
Voltage = 500 Volts
Magnetic flux, B = 0.123 Tesla
Use Gauss's law of magnetic field,
We would first measure the current passing through the rails,
Current = voltage/resistance
Current = 500/0.5
Current = 1000Amps.
The following formula describes the magnetic force acting on a current-carrying conductor,
Fm = BIL
Fm = 0.123×1000×0.8
Fm = 98.4N
The metal rod's limiting frictional force is given by,
Fr = µmg
Additionally, before the metal rod begins to move, the magnetic force must be equal to the limiting frictional force,
Fm = Fr
98.4 = µmg
98.4 = µ × 0.02×9.8
98.4 = µ× 0.196
µ = 98.4/0.196
µ = 502.04.
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Gwen is completing a physics investigation involving the speeds of toy cars on a track. Two cars are going to be released from the top of a ramp and timed until they reach the bottom. Before her investigation, Gwen comes up with a hypothesis. She states that toy car A will be faster than toy car B. She runs three trials of her investigation and records her data.
20 POINTS PLSSS help...During her investigation, Gwen is using a reference point to help her in her measurements. What is a reference point used to measure?
A. energy
B. magnetism
C. mass
D. movement
Magnetism is using a reference point to help her in her measurements.
What is Magnetism?The force that magnets use to either attract or repel one another is known as magnetism.
The force that magnets use to either attract or repel one another is known as magnetism. Electric charges in motion are the source of magnetism.
Atoms, the smallest building blocks of matter, make up every substance. There are electrons in every atom, which are charged particles. The electrons that make up an atom's nucleus, or core, spin like tops.
Therefore, Magnetism is using a reference point to help her in her measurements.
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Help Needed
A crowbar is moved 0.555 m down by a force of 200.0 N, at a distance of 0.890 m from the pivot point. The short end of the crowbar is underneath a strong lacrosse and weightlifting athlete, Harry Croy. Harry is raised 0.111 m and has a weight of 800.0 N. How efficient is the moving of Harry?
The efficiency of the moving of Harry can be calculated by dividing the work done by the energy used. The work done is the force times the distance, or 200 N x 0.555 m = 111 Nm.
What is efficiency?Efficiency is the ability to achieve a desired result with the least amount of effort, time, and resources. It is a measure of how well an organization, process, or system uses resources to produce a desired result. Efficiency is important in many aspects of life and work, as it helps to maximize resources and minimize costs.
In business, efficiency is often measured by comparing the output of a process to the resources used to produce it. For example, a business may measure the efficiency of its production process by looking at the ratio of the number of products produced compared to the amount of labor, materials, and energy used. Efficiency is also closely related to productivity, which is the ability to produce more output with the same or fewer resources. In general, efficiency is important for organizations to remain competitive and profitable.
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the allowed energies of a quantum system are 0.0 eV, 1.5 eV, 3.0 eV and 6.0 eV. How many different wavelengths appear in the emission spectrum
The emission spectrum of this system will contain four different wavelengths, corresponding to each of the allowed energies.
What is wavelentgh?Wavelength is a measure of the distance between two consecutive wave crests or troughs and is usually defined as the length of one full cycle of a wave. Wavelengths are typically measured in meters, centimeters, or nanometers (10-9 meters). Wavelength is inversely related to frequency, meaning that higher frequency waves have shorter wavelengths.
The wavelength of each energy level can be calculated using the equation λ = hc/E, where h is Planck's constant, c is the speed of light, and E is the energy level in electron volts. Using this equation, the four wavelengths of the emission spectrum are calculated as follows: 0.0 eV = 0.0 m, 1.5 eV = 8.0 x 10^-7 m, 3.0 eV = 4.0 x 10^-7 m and 6.0 eV = 2.0 x 10^-7 m. Thus, the emission spectrum of this system will contain four different wavelengths, which can be identified by their corresponding energy levels.
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two forces f1 and f2 are acting on a box shown below causing the box to move to the right across a surface. the two force vectors are drawn to the same scale. which force does more work on the box? justify your answer.
F1 puts in more effort than F2. The displacement is greater in F1 due to the higher horizontal component.
How come F1 is quicker than F2?Overall, Formula 1 cars are faster and far more powerful than F2 cars. The amount of downforce generated by Formula 1 cars is astounding, reaching up to 5 Gs. Speed has an impact on downforce; when a car moves quicker, more downforce is produced.
What is the force's horizontal component?A force's horizontal component is the portion of the force that acts in a horizontal direction on the body, whereas a force's vertical component is the portion of the force that acts in a vertical direction on the body.
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g what is the velocity of the entangled cars after the collision in terms of masses m1 and m2, and the initial velocity of the second car?
The vehicles get twisted up. Before the collision, the second car was driving at a speed of v2.
What is a collision, exactly?A collision is a brief interface between individuals bodies or even more than 2 bodies at once that modifies the motion of the bodies involved as a result of internal forces acting between them. The forces involved in collisions
What transpires in an accident?Both objects are accelerated by the equal-sized, opposite-directed forces that result from a collision. In collisions with objects of identical mass, all objects accelerate similarly.
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You are now about to make a Collage showing the different interactions that exist among organisms. Then, in 3-5 sentences explain the following
1. One of the interactions that exist in the environment.
2. Effects of your chosen interaction among organisms in their environment.
3. Cite an example to support your chosen interaction.
Answer:
1. One of the interactions that exist in the environment is symbiosis. Symbiosis is a type of interaction between two or more organisms where one organism benefits and the other organism is neither helped nor harmed.
2. Symbiosis can have a positive effect on the environment. For example, mutualistic symbiosis, where both organisms benefit, can increase the survival and reproduction of both species. This can increase biodiversity and stability in the ecosystem.
3. An example of mutualistic symbiosis is the relationship between bees and flowers. Bees collect nectar from flowers and in the process, they transfer pollen, which allows the flowers to reproduce. The bees benefit by getting food and the flowers benefit by getting pollinated. This relationship is essential for the survival of both bees and flowers and contributes to the biodiversity of the ecosystem.
A ball is thrown horizontally at 11.5 m/s from the top of a hill 45.2 m high. How far from the
base of the cliff does the ball hit the ground?
Vx = 11.5 m/s
h = 45.2 m
g = 9.8 m/s²
Vi.y = 0 m/s (Initial vertical velocity)
x - ?
Solution:
1. h = Vi.y • t + 1/2 • g • t²
Since Vi.y = 0, we will get: h = 1/2 • g • t²
t = sqrt(2h/g)
t = sqrt(2 • 45.2/9.8)
t = 9.22 sec
2. Vx = x/t
x = Vx • t
x = 11.5 • 9.22 = 106.03 meters
earth and jupiter both travel in a roughly circular orbit around teh sun. jupiter's orbit is approximately 5 times the radius of the earth's orbit. what is the approximate relationship between the centripetal acceleration of each planet?
The orbit of Jupiter has a radius that is roughly five times that of the earth. the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
What is the moon's net gravitational field as a result of the sun and Earth?zero
The intersection of the gravitational fields of the Sun, Earth, and Moon is known as the neutral point because it is where the combined gravitational pull of the three bodies is zero. About 80 times as much mass as the Moon is the Earth.
The centripetal acceleration of a planet in a circular orbit is given by the formula: a = v^2 / r, where a is the acceleration, v is the velocity of the planet, and r is the radius of the orbit. Since Jupiter's orbit is approximately 5 times the radius of Earth's orbit, the radius of Jupiter's orbit is 5r.
Since the velocity of both planets is roughly the same (as they both travel in roughly circular orbits around the Sun), the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
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two objects, with masses m1 and m2, attract each other with force f. if the mass of m1 increased by a factor of two then the new gravitational force would be:
The new gravitational force between them would be twice the initial gravitational force.
What is Newton's law of universal gravitation?Newton's law of universal gravitation states that the force of attraction between two object in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
Mathematically, the formula for Newton's law of universal gravitation is given as;
F = ( Gm₁m₂ ) / ( R² )
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectR is the distance between the two objectsG is universal gravitation constantWhen mass m1 of the two objects doubles, the new gravitational force will be calculated as;
F' = ( G x 2m₁ x m₂ ) / ( R² )
F' = 2( Gm₁m₂ ) / ( R² )
F' = 2F
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A child is pushing a merry-go-round. The angle through which the merty-go-round has turned varies with time according to θ(t)-7t + 3 where γ = 0.367 rad/s and 140-10-2 rad/sCalculate the angular velocity of the merry-go-round as a function of time Express your answer in terms of the variables β, γ, and t. Part BWhat is the initial value of the angular velocity?Part CCalculate the instantaneous value of the angular velocty w, at t 550 rad/s Part DCalculate the average angular velocity wfor the time interval t = 0 to t = 5.50s
Now, 0.65 rad/s and 0.7 rad/s are different. Average angular velocity is defined as total displacement divided by total displacement time.
What is the straightforward meaning of velocity?
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
How do velocity and speed differ?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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The initial value of the angular velocity is -6.633 rad/s. The instantaneous value of the angular velocity is -3.817 rad/s.
What is the simple definition of velocity?In terms of time, an object or particle's movement is expressed vectorially as velocity. The recognized measurement of velocity magnitude is the meter per second (m/s) (also known as speed).
Part A:
The angular velocity of the merry-go-round as a function of time is the derivative of the angle with respect to time.
Angular velocity, w(t) = dθ(t) / dt = -7 + 0.367
Part B:
The initial value of the angular velocity is the value of the angular velocity at t = 0.
w(0) = -7 + 0.367 = -6.633 rad/s
Part C:
To find the instantaneous value of the angular velocity at a specific time, we need to substitute that time into the angular velocity equation.
w(t) = -7 + 0.367t
w(5.50) = -7 + 0.367(5.50) = -3.817 rad/s
Part D:
To find the average angular velocity for a time interval, we can use the following formula:
average angular velocity = (final angle - initial angle) / (final time - initial time)
Given the time interval t = 0 to t = 5.50s,
average angular velocity = (θ(5.50s) - θ(0)) / (5.50s - 0s)
θ(t) = -7t + 3
average angular velocity = (-7*5.50 + 3 - 3)/5.50 = -7 rad/s
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