The magnitude of the change in momentum is twice the initial momentum 2mV.
Momentum is the same as the mass of an item elevated by using its pace and is equal to the pressure required to bring the item to a stop in a unit length of time.
Calculation:-
mass of the ball = m
Let the initial velocity coming the vertical wall is = +v
Final velocity bouncing back from the wall = - V
momentum = mv
Change in momentum = m ( final velocity - initial velicity)
= m ( -V - V)
= - 2mV
Only magnitude = 2mV.
Linear momentum, translational momentum, or true momentum is manufactured from the mass and speed of an item. it's far a vector quantity, possessing a magnitude and a course. If m is an object's mass and v is its velocity. Momentum is a dimension of mass in movement. How tons mass is in how much movement. additionally, it is given the symbol p.
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what conditions must occur for the two carts to move in different directions after the collision? (assuming that a moving cart collides elastically with a stationary cart).
As a result of the collision, the cart, which had a velocity of 1, comes to rest. The cart then accelerates with velocity v1 from rest. assuming that a moving cart collision elastically with a stationary cart.
We are aware that both the linear momentum and the kinetic energy are conserved in completely elastic velocity. However, only the kinetic energy of an inelastic impact is conserved. Any situation in which two or more bodies quickly exert forces on one other is referred to be a collision. The scientific definition of the word "collision" makes no reference to the magnitude of the force involved, despite the fact that the most frequent usage of the word relates to instances in which two or more objects clash violently.
The instantaneous speed could be compared to the speed shown by the speedometer.
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.
A van accelerates from a velocity of 2 m/s to a velocity of 20 m/s in 12 s.
Calculate the acceleration of the van.
Answer:
Explanation:
Given:
V₀ = 2 m/s
V = 20 m/s
Δt = 12 s
__________
a - ?
The acceleration of the van:
a = ΔV / Δt = (V - V₀) / Δt
a = (20 - 2) / 12 = 18 / 12 ≈ 1.5 m/s²
how would the gravitational force of star james change if star james contracted to 1/7 of its previous diameter, without osing any of it's matter
The final gravitational force at the surface of the star is 49 times of the initial gravitational force.
Gravitational force definitions.The attraction that exists between all masses in the universe, particularly between the mass of the earth and objects that are close to its surface.
Use Newton's gravitational law to find the gravitational force at the surface of a star if the star contracted to one fifth of its previous diameter as follows.
Newton's gravitational law states that the gravitational force between two objects is inversely proportional to the square of their distance and directly proportional to the product of their masses.
[tex]F_g}[/tex] =GMm/r²
In this case, the two objects' masses are M and m, G is the gravitational constant, and r is their separation from one another.
Since mass is constant, the gravitational force at the surface of a star before contraction is,
F₁ =GMm/r₁²
Here, r₁ is initial diameter of the star.
The gravitational force at the surface of a star after the contraction is,
F₂ =GMm/r₂²
Here, r₂ is final diameter of the star.
Compare the equations, we get
F₂/F₁= GMm/r₂²/GMm/r₁²
F₂/F₁=(r₁/r₂)²
F₂ = F₁(r₁/r₂)²
Substitute r₁/7 for r₂ in equation and solve for final gravitational force on the star.
F₂ = F₁(r₁/r₁/7)²
F₂= 49F₁
Therefore, the final gravitational force at the surface of the star is 49 times of the initial gravitational force.
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You are bowling for a spare. There is just one pin left, and you make a nice play. As the 5.1 kg ball approches at a velocity of 3.40 m/s north it hits the pin! The 1.5 kg pin is sent into motion and the bowling ball continues to roll at a velocity of 0.87 m/s north. What is the final velocity of the pin?
Answer:
11.56 m/s
Explanation:
The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2
substituting the values,
5.1 * 3.40 = 1.5 * V2
17.34 = 1.5 * V2
V2 = 17.24 / 1.5
V2 = 11.56 m/s
he complex impedance of an electric circuit measures resistance as the real component and reactance as the imaginary component, both measured in ohms. what is the magnitude of impedance of an electric circuit with a resistance of 90 ohms and a reactance of 120 ohms?
The magnitude of impedance is 1.33 ohms .
What is meant by electric circuit?Electric circuit: a way for current to travel. A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electric circuit.
Current flowing from the positive terminal to the negative terminal of the battery is known as an electric circuit. Putting together a circuit A cell or battery, connecting wires, a lightbulb, and a switch make up an electric circuit.
Given .
resistance = 90 ohms
reactance =120 ohms
So magnitude of impedance is 120/90
= 1.33 ohms
therefore the magnitude of impedance is 1.33 ohms
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a 65 kg bungee jumper drops from a 60 ledge. the bungee cord has an unstretched length of 20 m, meaning that for the first 20 m the only force on the jumper is gravity. the bungee cord acts like a linear spring. the jumper comes to rest 0.5 m above the surface of the water. what is the stiffness constant of the cord?
To find the stiffness constant of the cord, learn gravity and force.
What is gravity?
By means of gravity, a planet or other body pulls objects toward its center. All the planets are maintained in their orbits around the sun by the force of gravity.
What is force?
An object with mass changes its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.
Enot=Eat start= Ug =mgh
=(65kg)(10m/s²)(60m)
=39,000J
Eat lowest point =Usp+Ug
=1/2K(Δy²)+mgh
=1/2k(39.5m)² + (65kg)(10m/s²)(0.5m)
from conservation of energy, solve to get K= 49.6N/m.
Therefore, the energy function can be written ( for y<40).
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PLS help confused. Will mark brainiest for the right answer.
Answer:
B
Explanation: You (with the ball in your hand)would move in the direction of the ball's initial motion. Momentum!
Answer: You would move backward.
Explanation: You would push back because you would move in the direction of the ball's initial motion. The ball's initial motion is to come toward you, so you would most likely move backward.
Let me know if this is right! :)
bird bones have air pockets in them to reduce their weight. this also gives them an average density significantly less than that of the bones of other animals. suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). what mass of water is displaced?mass of water displaced:kg what is the volume of the bone?volume of the bone:m3 what is its average density?average density of the bone:kg/m3 question credit: openstax college physics
a) Mass of displaced water is 41.4 g or 0.0414 kg
b) Volume of the bone is 41.4 mL or 41.4 × 10⁻⁶m³
c) Average density of the bone is 1.09 g/ mL or 0.00109 × 10⁻⁶ Kg /m³
In the given question we have, the weight of some bird bones is measured in air outside of some water and the weight is 45.0 grams and the apparent weight in water is 3.60 grams. Now, we shall find out the weight of the displaced water? So the buoyant force is this difference between the weight of the bones out of the water and in the water, so the weight out of the water times g minus the weight in the water times g and then the g can be factored in and the buoyant force is also equal to the weight of the displaced fluid from Archimedes' principle
i.e., 45 × g - 3.60× g = weight/ mass of displaced water
weight of displaced water = 41.4 × g
g× mass of displaced water = 41.4 ×g
=> mass of displaced water = 41.2 grams
a) Mass of displaced water = 0.0414 Kg
b) the volume of the bones is going to be equal to the volume of water displaced.
We know that the density of water is the mass of water displaced divided by the volume of water. So the volume of water displaced is the weight of the water displaced divided by the density of the water.
Volume of water displaced = 41.4 grams / density of displaced water
density of water displaced = 1 grams / milliliters
So, the density of water is 41.4 milliliters or 41.4 ×10⁻⁶ m³
c) The average density of the bone is the weight of the bone divided by its volume,
Average density of bone = 45 grams / 41.4 mililitres
so it's value is 1.09 grams per milliliter or 0.00109 × 10⁻⁵ m³
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What is the kinetic energy of a car that has a mass 2,000 kg and has a velocity of 10 m/s?
The Kinetic Energy of the given body is 100,000
Kinetic energy is the energy possessed by a body as a virtue of its motion or movement. It is defined under Mechanical energy.
The mechanical energy of a body is always conserved. Potential energy along with Kinetic energy maintains the mechanical energy of a body.
If talking solely about mechanical energy the dip in one leads to a rise in the other.
The potential energy of a body is the energy possessed by the virtue of its position in distance from the surface of the Earth.
The formula of Potential energy is=mgh
where h is the distance from the surface of the earth where the body is placed
while g is the gravitational force exerted by the earth on the body
The formula of Kinetic Energy is: 1/2xmx[tex]v^{2}[/tex]
m=2000kg (Provided in the question)
v=10m/s (Provided in the question)
Then Kinetic Energy of the body=1/2x m x [tex]v^{2}[/tex]
putting values in the equation
K.E=1/2 x 2000 x [tex]10^{2}[/tex]
K.E=1/2 x 2000 x 100
canceling 2000 by 2
K.E = 1000 x 100
K.E= 100,000
Where Kinetic energy is represented as K.E
Thus, the Kinetic Energy of the given body is 100,000
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What is the potential difference measured if the following voltmeter (refer to picture) is used and connected to the circuit via the 3V terminal?
The potential difference measured if the given voltmeter is used and connected to the circuit via the 3V terminal is 1.4 V.
The reading of voltmeter is taken for the row with 0, 1, 2 and 3 values. Each line indicates 0.1 volts. The distance between each smaller lines indicates 0.2 volts and the distance between each longer lines indicates 0.2 volts.
A voltmeter is a device used to measure the potential difference between two points in a circuit. Potential difference is also called as voltage. Its unit is volts.
V = IR
V = Voltage
I = Current
R = Resistance
Therefore, the potential difference measured is 1.4 V
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Calculator
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A speaker, rated at 4V, draws a current of 13A. It is left switched on for 3 seconds. How much electrical work is done on a speaker?
Answer:
16C
Explanation:
since current=CHARGE/TIME
THEREFORE CHARGE=TIME X CURRENT
=2X8
=16C
if, in actuality, a 710-kg car with an initial speed of 114 km/h is observed to coast up a hill and stops at a height 25 m above its starting point, how much thermal energy was generated by friction in j?
The thermal energy was generated by friction is 180490.52J.
What is thermal energy?Molecules moving within an item or substance are referred to as thermally moving. The sun is the main source of thermal energy in our solar system, but every material possesses some form of thermal energy. Heat is a flow of thermal energy that occurs when energy is transferred from one substance or object to another.
Given,
Initial speed = 114km/h = 114000/3600 = 31.66 m/s
Height = 25m
[tex]E_{intial} = E_{final}[/tex]
mg[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex] = mg[tex]y_{f}[/tex] +1/2m[tex]v^{2} _{f{} }[/tex]
Solving [tex]y_{f}[/tex] we have,
[tex]y_{f}[/tex] = m(g[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex]-1/2m[tex]v^{2} _{f{} }[/tex])
[tex]y_{f}[/tex] = (0+ 1/2 (114×1000/60×60)²-0)/9.8
[tex]y_{f}[/tex] = h = 50.94m
loss of energy = mg (50.94 - 25)
loss of energy = 710× 9.8× 25.94
loss of energy = 180490.52J.
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magnus has reached the finals of a strength competition. in the first round, he has to pull a city bus as far as he can. one end of a rope is attached to the bus and the other is tied around magnus's waist. if a force gauge placed halfway down the rope reads out a constant 1550 newtons while magnus pulls the bus a distance of 2.15 meters, how much work does the tension force do on magnus? the rope is perfectly horizontal during the pull.
The Work done by tension force on Magnus is
- 3225 Joule .
In the given question we have, one end of rope is tied around magnus waist and other attched to bus and he pulls the bus. The direction of tension force is just work done.
constant force = 1550 Newton
displacement = 2.15 meters
The direction of tension force is opposite to work done due to the tension force is reaction force to force of work done for pulling the bus.
work done by tension = W = - W₀
where W₀is horizontal work done by magnus during pulling.
so, W₀ = Fdcosθ
where , F---> force , d--> displacment and θ ---> angle between force and displacement
As we see whole work done in horizontal direction. So, angle between force and displacement is zero.
put all the vales in above formula we get ,
W₀= 1550× 2.15 cos0 = 1550×2.15 = 3225 Joule
W = - W₀ = - 3,225J
Hence, work done by tension force on Magnus is
- 3,225 Joule.
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if a falling ball made a perfectly elastic collision with the floor, would it rebound to its original height? explain.
When dumped, it would rebound all the way up to the original height.
What occurs when an impact is perfectly elastic?If there is no kinetic energy lost during contact, the collision is entirely elastic. In an inelastic collision, some of the kinetic energy is converted into another kind of energy during the contact.
The system's overall kinetic energy, which includes the interacting items, remains constant both before and after the impact. A very buoyant ball might serve as an illustration of an elastic collision. If you dropped it, it would return to its original height after bouncing all the way down.
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explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.
The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..
Work and heat do not have a state function.
The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.
ΔU = w+q
ΔU = modification of internal energy
q= heat
W= work
ΔU=qv
Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.
additional circumstance steady pressure
W = pΔV
Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.
Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.
Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)
The path functions q and w
However, q+w combined is a state function.
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A heat engine operates between a source at 477°c and a sink at 25°c. If heat is supplied to the heat engine at a steady rate of 65,000 kj/min, determine the maximum power output of this heat engine.
T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K
T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K
And by replacing Carnot efficiency:
e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%
W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75 [tex]\frac{KJ}{min}[/tex]
How to calculate temperature?The United States (and its connected territories) and some Caribbean countries frequently use the Fahrenheit temperature scale, which bears the name of German physicist Daniel Gabriel Fahrenheit. Water freezes at 32°F and boils at 212°F according to the Fahrenheit scale (at sea level).
Nearly every other country uses the Celsius temperature scale, which was previously called centigrade before being changed for Swedish astronomer Anders Celsius. Water freezes at 0°C and boils at 100°C on the Celsius scale (at sea level).
For this case we can use the fact that the maximum thermal efficiency for a heat engine between two temperatures are given by the Carnot efficiency:
e = 1 - frac T[tex]_{C}[/tex]T[tex]_{H}[/tex]
We have on this case after convert the temperatures in kelvin this:
T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K
T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K
And replacing in the Carnot efficiency we got :
e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%
And the maximum power output on this case would be defined as:
W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75 [tex]\frac{KJ}{min}[/tex]
Where [tex]Q_{H}[/tex] represent the heat associated to the deposit with higher temperature
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nazi made the biggest gun, schwerer gustav. it weighed 1500 metric ton. when it shot out a projectile of 5 metric ton, it recoiled with 2.6 m/s. find the projectile speed.
the speed of the projectile is 780m/s.
given in this question,
mass of the gun m₁ =1500metric tun
as we know 1ton= 1000kg
so m₁=1,500,000kg
mass of projectile m₂= 5ton =5000kg
for solving this problem we will use the concept of conservation of momentum.
which is [tex]P_{initial}[/tex]=[tex]P_{final}[/tex]
[tex]P_{initial}[/tex]=0
and [tex]P_{final}[/tex]=m₁v₁+m₂v₂
∵v₁=2.6m/s
now by the conservation of momentum
[tex]P_{i}[/tex]=[tex]P_{f}[/tex]
0=1,500,000×2.6+5000×v₂
v₂=-1500000×2.6/5000
v₂= -780m/s
hence the value of the velocity negative is not possible
negative sign is showing direction of projectile.
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three objects are at the top of an inclined plane: a disk, a sphere, and a ring. all of the objects have the same radius and the same mass. which object would finish last in a race down the incline if they are all released from rest? (hint: use conservation of energy methods, and note that at the bottom there is both translational and rotational energy)
The ring would finish at last in the race down the incline.
Incline is a a plane surface tilted at some angle from the horizontal.
The moment of inertia of the ring = [tex]mr^{2}[/tex]
The moment of inertia of the disc = ( [tex]mr^{2}[/tex] ) / 2
The moment of inertia of the solid sphere = 2( [tex]mr^{2}[/tex] ) / 5
Since the moment of inertia is the resistance to rotational motion, we see that the object with the smallest moment of inertia will reach the bottom first.
The gain in total kinetic energy is equal to the loss in gravitational potential energy, which in turn is the same for all the objects and is equal to 'mgh'
where h is the height of the inclined plane.
So the order of reaching the bottom is Sphere, disc and ring.
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Find the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons.
The acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N/kg.
The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.
Acceleration (a)
Mass (m) = 10 kg
Force (F) = 200 N or Newton
∴ a = F / m
=> a = 200 N / 10 kg
=> a = 20 N / kg
So, the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N / kg.
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You are skiing and you push off from the top of the hill, giving yourself an initial velocity of 1 m/s. You accelerate down the hill at a rate of 2 m/s/s. What will your speed be after 10 seconds? How far will you have traveled after 10 seconds?
Using Equations of motion, speed after 10 seconds will be 21 m/s and the distance travelled after 10 seconds will be 110 m.
What are Equations of motion?
Equations of motion are thought of as the relationships that assist us in relating the physical quantities, such as distance traveled, time spent traveling there, acceleration, and initial and final velocities.
First equation of motion
The velocity-time relation is the name given to the fundamental equation of motion, v = u + at.Second equation of motion
The position-time relation can be defined as s = ut + 1 / 2at2 in the second equation of motion.Third equation of motion
v2 = u2+ 2as, the position-velocity relation, is the third equation of motion.Given, initial velocity, u = 1 m/s
acceleration, a = 2 m/s/s
time = 10 s
Using First equation of motion, we find the speed after 10 seconds.
v = u + at
v = 1 + 2 x10
v = 1 + 20
v = 21 m/s
Using Second equation of motion, we find the distance travelled after 10 seconds,
s = ut + 1 / 2at2
s = 1 x 10 + ( 2 x 10 x 10)/2
s = 10 + 100
s = 110 m.
Hence, after 10 seconds speed will be 21 m/s and distance will be 110 m.
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cell phones use radio waves to transmit information. if your cell phone uses a frequency of 1900 mhz, what is the wavelength in meters of the electromagnetic radiation emitted by your phone? (1 hz
The wavelength of the electromagnetic radiation emitted by your phone is 1.578meters.
What is the wavelength of electromagnetic radiation?The name given to the recognized range of electromagnetic radiation is the electromagnetic spectrum (EMS). The frequency decreases from 3×10²⁶ Hz to 3×10³ Hz as wavelengths rise from around 10⁻¹⁸ m to 100 km.
The wavelength is the separation between two wave crests, while troughs have the same wavelength. Frequency, measured in cycles per second (Hz), is the number of vibrations that pass over a certain location in a second (Hertz).
Given,
Frequency = 1900 mhz = 1900×10⁶,
velocity = 3×10⁸,
Wavelength = v/F
Wavelength = 3×10⁸/ 1900×10⁶
Wavelength = 1.578meters.
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Use the diagram of the molecular structure of lactic acid to answer the question.
Which functional groups are represented in this molecular structure?
A) a methyl group, a hydroxyl group, and a carboxyl group
B) a sulfhydryl aroup. an amino group, and a carboxvl group
C) a methyl group, an amino group, and a carboxyl group
D) a sulfhydryl aroup, a hydroxvl group, and a carboxvl group
The functional groups that are represented in this molecular structure are; a methyl group, a hydroxyl group, and a carboxyl group
What are the functional groups?We know that the functional group would be defined as that atom, or a group of atoms or even a bond that is the major point where a chemical reaction occurs among the members of a particular hom----ologous series. Note that the hom----ologous series is a family of compounds that differ from each other by chain length only.
Now we have to look at the compound and of course the attachments to the compound would tell us how many of the functional groups that we do have in the molecule and we can take a cursory look at the image attached for this detail.
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what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h .)
She will pull her ripcord 22.9 s after the dive and her speed at 490 m will be 112.66 m/s.
What is free-fall?Free fall, any motion of a object where gravity is the only force acting upon it. In the context of general relativity, where gravity is reduced to the curvature of spacetime, there are no forces acting on bodies in free fall.
For the given case,
s = ut + 1/2 at²
s = Displacement (3000 - 420 = 2580 m) it is the distance she will free fall
a = Acceleration due to gravity (9.8 m/s²)
u = Initial velocity (0 m/s)
t = Time taken
2580 = 0×t + 1/2 9.8 t²
2580 = 4.9 t²
t = 22.9 s
Now her speed at 490 m will be
v = d/t
v = speed
d = 2580 m
t = 22.9 s
v = 2580/22.9
v = 112.66 m/s
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The given question is incomplete so the complete question is as follows:
"if there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3100 m to an altitude of 490 m , where she will pull her ripcord? what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h)"
A person rides in an elevator.
What is the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law?
The equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law is the weight and the reaction force from its effect.
What is an Elevator?This is referred to as a device which is used in the vertical transportation of goods and people among the floors in a buildings.
When an individual steps into the elevator, the weight acts on it and it is known as a downward force while the reaction acts upward in an opposite reaction as described by Newton's third law in this scenario.
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What is the normal force acting on a 50kg dog? A)540N b)570N c)490N d)440N
Answer:
C) 490
Explanation:
Normal force = mass × gravitational acceleration
50kg × 9.8
490 N
at what frequency should a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v?
At 7.1 Hz a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v
What is magnetic field?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
Given,
number of turns is N = 200 turns
cross-sectional area is A = 300 cm² = 300 x 10⁻⁴ m²
the magnitude of magnetic field strength is B = 30 x 10⁻³ T
the maximum value of the induced emf is E = 8 V
Now,
Maximum induced emf is, E = NBAω
where,
ω is the angular velocity (ω = 2πf)
Now,
E = NBA2πf
where,
f is minimum frequency
So, f = E / (NBA2π)
f = 8 / (200 x 30 x 10⁻³ x 300 x 10⁻⁴ x 2 x 3.142)
f = 7.073 Hz
f = 7.1 Hz
∴ the minimum frequency of the coil is 7.1 Hz.
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Projectile motion is a combination of _______________ motion in the horizontal direction, and ________________ motion in the vertical direction.
A. accelerated, accelerated
B. constant, constant
C. accelerated, constant
D. constant, accelerated
Projectile motion is a combination of constant motion in the horizontal direction, and accelerated motion in the vertical direction. Therefore, the correct answer option is: D. constant, accelerated.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records by scientists such as Galileo, we can infer and logically deduce that the initial horizontal velocity of a physical object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, Galileo stated that projectile motion combines constant or uniform motion in the horizontal direction and accelerated motion in the vertical direction.
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a 1.92 kg object on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 4.77 n/m. the object is displaced 5.31 m to the right from its equilibrium position and then released, which initiates simple harmonic motion. what is the magnitude of the force acting on the object 3.72 s after it is released? answer in units of n.
The magnitude of the force acting on the object of mass 1.92 kg, 3.72 s after it is released is 23.414 N in negative direction.
ω = √ ( k / m )
ω = Angular frequency
k = Force constant
m = Mass
k = 4.77 N / m
m = 1.92 kg
ω = √ 4.77 / 1.92
ω = √ 2.48
ω = 1.58 rad / s
F ( t ) = - m d ω² cos ω t
F ( t ) = Force wrt time
d = Displacement
t = Time
t = 3.72 s
d = 5.31 m
F ( 3.72 ) = - 1.92 * 5.31 * 1.58² cos ( 1.58 * 3.72 )
F ( 3.72 ) = - 25.45 cos 5.88
F ( 3.72 ) = - 23.414 N
Therefore, the magnitude of the force acting on the object is 23.414 N in negative direction.
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A plane flies with an average
velocity of -98.5 m/s for 45.0 s.
What was its displacement?
(Unit = m)
Don't forget: velocities and displacements to
the right are +, to the left are -.
Answer:-4432.5 m
Explanation:trust
Substances in a(n)________
separate properties.
keep their separate properties, but in a(n)___________
the parts are bonded and do not keep their
Substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.
Mixtures contains elements and compounds without any fixed ratio and not by any means of chemical bonds. The elements and compounds are physically mixed and so they will be visibly distinct.
Compounds contains elements in a fixed ratio and is connected by chemical bonds. They only contain one type of molecule. Since they are chemically combined the particles appear as one and is not visibly distinct.
Therefore, substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.
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