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To find the velocity of the dart and apple just after the dart is embedded, we can use the principle of conservation of momentum. According to this principle, the total momentum of a closed system (such as the dart and apple) is constant, meaning that the total momentum before and after an interaction (such as the dart being thrown) must be the same.
The momentum of an object is equal to its mass times its velocity, so the total momentum of the dart and apple before the dart is thrown is:
p1 = (0.6 kg)(10.8 m/s) + (1.9 kg)(0 m/s) = 6.48 kg*m/s
After the dart is thrown, the total momentum of the dart and apple is:
p2 = (0.6 kg)(v) + (1.9 kg)(v) = 2.5v kg*m/s
Since the total momentum before and after the interaction must be the same, we can set p1 equal to p2 and solve for v:
6.48 kgm/s = 2.5v kgm/s
v = 6.48 kgm/s / 2.5 kgm/s
v = 2.592 m/s
The answer is 2.592 m/s.
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Happy Holidays!
Answer: To find the velocity of the dart and apple after the dart is embedded, you can use the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant, unless acted upon by an external force.
In this case, the dart and apple form an isolated system, so their total momentum must remain constant.
The momentum of the dart before it is embedded is given by the formula p = mv, where p is momentum, m is mass, and v is velocity. The momentum of the dart is therefore 0.6 kg * 10.8 m/s = 6.48 kg*m/s.
After the dart is embedded, the total momentum of the dart and apple is also 6.48 kg*m/s. We can find the velocity of the combined system using the same formula, p = mv. The mass of the combined system is the sum of the masses of the dart and apple, or 1.9 kg + 0.6 kg = 2.5 kg.
Substituting these values into the formula, we get:
p = mv
6.48 kg*m/s = 2.5 kg * v
v = 2.592 m/s
This is the velocity of the dart and apple after the dart is embedded.
you accidentally throw your car keys horizontally at 8.0m/s from a cliff 64m high. how far from the base of the cliff should you look for the keys?
If you were standing 5 meters away from the cliff when you threw the keys, the total distance from the base of the cliff where you should look for the keys is 21.1 meters.
How to find distance of key ?To find the distance from the base of the cliff where you should look for your keys, you can use the formula for the horizontal range of a projectile, which is:
range = (initial velocity * time of flight)^2 / (2 * acceleration due to gravity)
In this case, the initial velocity of the keys is 8.0 m/s (horizontally), the acceleration due to gravity is 9.8 m/s^2, and the time of flight can be calculated using the formula:
time of flight = (2 * initial velocity * sin(angle)) / acceleration due to gravit
Since the keys were thrown horizontally, the angle is 90 degrees, so the time of flight becomes:
time of flight = (2 * 8.0 m/s * sin(90)) / 9.8 m/s^2 = 1.63 seconds
Substituting these values into the formula for the horizontal range, we get:
range = (8.0 m/s * 1.63 s)^2 / (2 * 9.8 m/s^2) = 16.1 meters
This is the horizontal distance that the keys traveled during their time of flight. To find the distance from the base of the cliff where you should look for the keys, you need to add this distance to the horizontal distance you were from the cliff when you threw the keys.
For example, if you were standing 5 meters away from the cliff when you threw the keys, the total distance from the base of the cliff where you should look for the keys is 16.1 meters + 5 meters = 21.1 meters.
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today, astronomers find compelling evidence that the energy source of the quasars and active galaxies is:_____.
The energy source of quasars or active galaxies is currently thought to be matter falling toward a massive black hole in the center of a galaxy, according to persuasive evidence discovered by astronomers.
How does science define energy?The definition of energy is "capacity to do activity, which is ability to apply force causing motion of an object." Energy is simply the force that moves objects, despite this definition's seeming complexity. Both potential and kinetic energy fall under this category.
what is The importance of energyDue to the fact that it is a fundamental human requirement, energy is crucial to our daily existence. Our constructions, which are constructed by humans, are heated and cooled by energy. Even the simplest tasks like lifting your finger or getting out of bed require energy.
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a spring with a spring constant of 125 n/m is stretched 2.0 cm from its equilibrium position. what is the change in the spring potential energy?
The change in the spring potential energy is calculated to be 0.05 Joules if the spring has a constant of 125 N/m.
The formula for the change in the spring potential energy can be given as;
String potential energy = distance of displacement × force
As the distance of displacement is 2 cm we convert it into meters as follows;
1 m = 100 cm
2 cm = 2 ÷ 100 m
2 cm = 0.02 m
The force can be determined by using the following formula;
force = spring constant × displacement
force = 125 N/m × 0.02 m
force = 2.5 N
Now substituting the values of force and displacement in the equation for potential energy as follows;
String potential energy = 0.02 × 2.5
String potential energy = 0.05 Joules
Hence 0.05 Joules is determined to be the change in the spring potential energy.
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roller coasters are popular attractions at amusement parks. a cart on a roller coaster approaches the highest point on the coaster. as the cart reaches the top, it slows down.
As it climbs yet another hill, the roller coaster slows down. Kinetic energy is converted into potential energy.
What type of potential energy does the roller coaster have at the top of the loop?The gravitational potential energy (PE = mgh) of an object is the energy it has as a result of its height and is equal to the mass of the object times its height times the gravitational constant. The gravitational potential energy on a roller coaster is highest at the peak and lowest at the bottom. The roller coaster's potential energy is converted into kinetic energy as it travels down the hill at high speed. As it climbs yet another hill, the roller coaster slows down. Kinetic energy is converted to potential energy.
How is energy transferred on a roller coaster?Potential energy is transformed into kinetic energy, which the roller coaster uses to go forward. Once it has around the first hill, it has all the kinetic energy it needs to complete the journey. Different wheel designs make for a comfortable ride once you're moving. Running wheels on the coaster guide it along the track.
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The centers of two slits of width a are a distance d apart. if the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light of wavelength λ, the ratio a/d is equal to?
The ratio a/d is equal to 4.
The fourth minimum in the fringe pattern occurs when the optical path difference between the two slits is equal to four times the wavelength of light, or 4λ. The optical path difference is equal to the difference in distance covered by the light from the two slits to the minimum position.
For the first minima of the diffraction pattern, the optical path difference is equal to one width or a of the slit. Therefore the ratio a/d is equal to 4λ/a = 4.
Therefore if the centers of two slits whose width is a and are d distance apart,
the ratio a/d is equal to 4.
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How does Physics connect to the Greenhouse Effect?
Answer: The greenhouse effect is caused by certain gases in the Earth's atmosphere trapping heat from the sun, which leads to climate change. Physics plays a role in understanding this phenomenon and developing solutions to mitigate its effects.
Explanation:
calculate the change in entropy of 3 moles of liquid water if you heat it from 5Ëšc to 95Ëšc. the molar heat capacity of liquid water is 75.38 j/molk.
Water in liquid form has an entropy change of 63.4 J/K.
define entropy ?
A state of disorder, randomness, or uncertainty is most frequently associated with the scientific concept of entropy, which is also a quantifiable physical property. From classical thermodynamics, where it was first recognized, to the microscopic description of nature in statistical physics, to the fundamentals of information theory, the term and concept are used in a variety of disciplines. It has wide-ranging uses in physics and chemistry, biological systems and how they relate to life, cosmology, economics, sociology, weather science, and information systems, including the transmission of information through telecommunication.
We use the equation to determine the entropy change for the same phase at various temperatures:
ΔS=n x Cp x In(T₂/T₁)
ΔS=3 x 75.38 x In (368/27)
ΔS= 63.4 J/k
therefore the entropy change of the water is 63.4J/k
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Analyze this: A 238.6-N force is applied at an angle of 18.8° above the horizontal
to accelerate a 14.5-kg object across a level surface. The coefficient of friction is
0.247. Complete the diagram.
H=
Units
Force: N
Mass: kg
Accel'n: m/s/s
Tap on a field to enter or edit its value.
0.247
Fnorm=
=Ffrict
Fgrav =
m=
a=
142.1
14.5
Fx
Fapp=
Fy
Fx =
Fy=
238.6
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Help Me
Answer:
Minus the components
Explanation:
= minus components and figratives = answer 2 4
A weightlifter lifts a 20 kg barbell a distance of 0.4 m in 0.82 s. How much power is demonstrated by the lift?
95.60 watt much power is demonstrated by the lift.
What is power?Energy consumption per second is measured as power. The amount of force necessary to create a unit displacement is another way to quantify power. Power, a scalar quantity, is represented by the letter P. For instance, a light bulb with 100 W of electricity will provide more light than one with 10 W.
Given that,
weight (W) = 20 Kg
distance = 0.4 m
time (t) = 0.82 sec
As we know,
Power (P) = W/t
or, P = (20 kg × 9.8 × 0.4)/ 0.82
or, P = 95.60 watt
Thus, 95.60 watt much power is demonstrated by the lift.
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object's velocity will not change unless it is acted on by a(n)
O net force.
O strong force.
O unbalanced force.
O opposite but equal force
a stream is transporting particle a. the velocity of stream is decreasing, but for the moment, particle a is still moving. however, when the water drops below 50 cm/sec, particle a falls below its fall velocity and is deposited. based on this information, what is the likely particle size for this object?
The most likely size of the particle is 10 mm
What happens as the velocity of water in a stream decreases?Point bars are formed as a result of silt deposition brought on by a decrease in water velocity inside the channel bend. Where there are low gradients and a mostly fine-grained load, meandering channels can emerge.
When a particle's velocity falls to the point that the water lacks the kinetic energy to carry it, sediment deposition occurs, causing the particle to fall out of suspension. Silt is a sediment that is bigger than clay but smaller than sand.
Given is a S curve
and in this graph we can see that when the speed of the water is 50 cm/sec in the x axis propotionatily the size of the particle is 10 mm in the y axis.
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The diagram below shows the path of a comet around the Sun.
A
B
C
D
How does the comet's energy change as it moves from point B to point C?
(Assume that total mechanical energy is conserved.)
Since a rotating comet is an isolated system, all of its mechanical energy (motion + potential) and angular momentum are conserved (constant).
What is angular momentum?Angular momentum is the quantity rotation of a body which is the product of its moment.
The angular momentum is given by,
L = mvr
where v= velocity of comet ,
r= distance of comet from sun ,
m= mass of comet,
At position 1, r is smaller therefore v (speed) increases to keep the angular momentum constant, similarly at position r be comes large do the speed v decreases again to keep the angular momentum to the constant , therefore at position 1 speed of the and it is greater than at 2. As speed is larger at 1 , therefore kinetic energy ( K=1/2mv² ) will also be greater at the position 1 compared of position 2 .
Now mechanical energy is the same at both positions of due to energy conservation law .
As mechanical energy is equal =KE+GPE , since it is kinetic energy is greater at the position 1 therefore GPE will be greater at position 2 .
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The angular momentum of the propellers of a small airplane points directly forward from the plane. Part A In what direction do the propellers rotate as seen from the rear of the plane? Clockwise Counterclockwise None of the above Submit Request Answer Part B If the plane is flying horizontally and suddenly pulls upward, in which direction does the nose of the plane tend to move? The nose of the plane would veer upward. The nose of the plane would veer to the left. The nose of the plane would veer downward. The nose of the plane would veer to the right. Submit Request Answer
In clockwise direction the propellers rotate as seen from the rear of the plane. If the plane is flying horizontally and suddenly pulls upward, the nose of the plane would veer upward. The correct options are B and A respectively.
The propellers rotate anticlockwise when viewed from the back of the aircraft.
When observed from the rear, an anticlockwise rotation direction corresponds to propellers spinning in the forward direction because the angular momentum of the propellers points directly forward from the plane.
The nose of a plane tends to pull forward when a plane flying horizontally suddenly pulls upward. This is brought on by the direction of the lift force produced by the wings changing.
By raising the nose, the angle of attack widens, increasing the lift force that raises the plane's nose upward. The change in the aerodynamic forces exerted on the aircraft is what causes the nose to rise upward.
Thus, the correct options are B and A respectively.
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Your question seems incomplete, the probable complete question is:
The angular momentum of the propellers of a small airplane points directly forward from the plane. Part A In what direction do the propellers rotate as seen from the rear of the plane?
A. Clockwise
B. Counterclockwise
C. None of the above
Part B If the plane is flying horizontally and suddenly pulls upward, in which direction does the nose of the plane tend to move?
A. The nose of the plane would veer upward.
B. The nose of the plane would veer to the left.
C. The nose of the plane would veer downward.
D. The nose of the plane would veer to the right.
A golf ball starts with a velocity of 10 m/s and slows at a constant rate of - 0. 5 m/s2, what is its velocity after 2 s?.
The velocity of a golf ball that starts with a velocity of 10 m/s and slows at a constant rate of -0.5 m/s^2 after 2 seconds is 9m/s.
What is velocity?It is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame or reference and as measured by a particular standard time.
How to calculate the velocity of a golf ball after 2 seconds?
From the question given :
V₁ = 10 m/s
a = -0.5 m/s^2
Δt = 2 seconds
Now let's put it into the formula
a = ΔV / Δt
- 0.5 = V₂ - V₁ / 2 seconds
- 0.5 = V₂ - 10 / 2 seconds
-1 = V₂ - 10
V₂ = 9m/s
Therefore, the velocity of a golf ball after 2 seconds which slowing down at a constant rate of -0.5 m/s^2 is 9m/s.
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When a person holds an object, it has potential energy. How will the potential energy change if the person lifts the object above his or her heads
The potential energy won't change. if the individual raises the object above their heads.
What transpires when an object is lifted in terms of potential energy?Depending on an object's height and mass, it will have a different amount of gravitational potential energy. The amount of gravitational potential energy an object possesses increases with weight and height above the ground. The relationship between weight, height, and gravitational potential energy.
In short, potential energy is the energy that an object has stored because of its position in relation to a zero position. If an object is located at a height that is higher (or lower) than the zero height, it has gravitational potential energy.
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A package is dropped out of an airplane traveling at a constant velocity of 127.92 m/s and a height of 809.86 m. How far away (horizontally) does the package land from where it was dropped?
yhhhhhhhhhhhhhhhhhhhhhhhhhhhhtAnswer:c
Explanation:k
k
how much does it cost to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/kwh?
It will cost 0.324 Dollars to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/ kwh.
kwh is commercial unit of electric energy. 1 unit= 1 kwh.
When 100 w power device is run for 1 hour, the amount of electrical energy consumed is 1 kwh.
We will find total units of electrical energy consumed in the given question.
energy consumed by 6 bulbs = 6×100= 600 w( joules per second).
The value in kwh is = 600÷1000
= 0.6kwh
Total energy consumed in 6 hours is = 0.6×6 = 3.6 kwh
So, the cost is = 3.6×0.09 = 0.324 dollars.
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Sara pushed a box of lab equipment along the ground, displacing it by 1 metre. By doing this, she has done __________ on the box of lab equipment.
Sara pushed a box of lab equipment along the ground, displacing it by 1 meter. she has done work on the box of lab equipment.
When a force is applied and an object is moved over a specified distance, a work has been completed. The following formula is used to calculate an object's work,
W = Fd
Where, F is the applied force, and d is the object's displacement.
When we apply force "F" to a block, the body moves with some acceleration or, additionally, its speed increases or decreases depending on the direction of the force. The system's kinetic energy changes as speed increases or decreases. Since we are aware that energy cannot be created or destroyed, it must be changed into another form. This perspective refers to it as completed work.Therefore ,Sara has therefore completed her work on the box of lab equipment when she moves it by 1 m.
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In terms of diameter, the planet saturn is larger than _______ , but smaller than _______.
Answer:
Larger than mercury, venus, earth, mars, uranus, neptune
smaller than jupiter
A young girl jumps off the edge of a shopping trolley. The trolley is stationary at the moment the girl jumps. The girl jumps backwards. Describe and explain, using the idea of momentum, what happens when the girl jumps off the trolley.
Answer:
Momentum is a physical quantity equal to the product of mass of the object and its velocity. Since velocity is a vector (a quantity that has both magnitude and direction), momentum is a vector quantity as well. According to the law of conservation of momentum, the momentum is always conserved. This means that the initial momentum must be equal to the final momentum. Our initial momentum is zero since both, trolly and the girl on it are stationary. When the girl jumps, she has some velocity v. To compensate for that, the trolly will also move with some velocity v, but in the opposite direction so that the momentum stays conserved.
Explanation:
A 2-meter-long pendulum, is set in motion, at 1.2 m/s, when the pendulum arm is at an angle of 25° from the vertical. Find the speed of the pendulum when it reaches the bottom of its swing.
calculate the maximum speed that the car can have without losing contact with the road at the top of the hill
The maximum speed that the car can have without losing contact with the road at the top of the hill of radius 50m is 22.14 m/s.
We need to apply the concept of centripetal force, force of gravity that produces the weight and the balance of these two, in order to solve this problem.
The force of weight must be equal to the centripetal force so that the weight must be equal to centripetal force.
∑ F = 0
Fc - Fw = 0
Fc = Fw
mg = mv²/r
where, m is mass
v is velocity
r is radius
Making v as subject, we have, v = √(g * R)
v = √(g * R) = √( 9.8 * 50) = 22.14 m/s
Thus, the velocity of the car that it can have without losing contact with the road is 22.14 m/s.
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the movement of earthy materials from higher region to lower region due to gravitational pull is called
Landslides are caused by earthy elements moving from higher to lower areas as a result of gravity. The sliding down of a slope of a volume of rock, rubble, or earth is known as a landslide.
What creates the attraction of gravity?All things with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature.
What term best represents the pull of gravity?A mass attracts a mass; the amount of the gravitational force is direct proportion to the masses of both the two items and inverse to the square of both the distance between two pieces. Gravitational force is an electrostatic attraction and exists among the objects with mass.
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PLEASE HELP ME
A motorcycle traveling on the highway at a speed of 80.0 mi/hr passes a car traveling at a speed of 60.0 mi/hr. From the point of view (or frame of reference) of a passenger in the car, what is the velocity of the motorcycle? Write the equation in the form that I have gone over, with subscripts of: m = motorcycle rider, c = car passenger, e = earth, and assume the forward direction is positive.
The relative velocity of the motorcycle, from the point of view of the passenger in the car, is of:
20 miles per hour.
How to calculate the relative velocity?The relative velocity between two objects is divided into two cases, as follows:
Objects traveling in the same direction.Objects traveling in opposite directions.Then, for each case, the relative velocity is obtained as follows:
Same direction: The relative velocity is the subtraction of the velocities.Opposite direction: The relative velocity is the addition of the velocities.The velocities in this problem are given as follows:
Motorcycle: 80 miles per hour.Car: 60 miles per hour.The point of reference is the car, and they are travelling in the same direction, hence the relative velocity is obtained as follows:
80 - 60 = 20 miles per hour.
Which means that each hour, the motorcycle will get 20 miles farther than the car.
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i-76 is backed up and you slam on breaks to keep from hitting the car in front of you. which vestibular sense organ would register your head slowing
The vestibular sense organ that would be registered is Brain.
When a driver's head is turned during an accident, the force of the impact may cause the head to twist to one side, rupturing the brain stem or injuring the spinal cord. A prolonged loss of consciousness (coma) occurs in many cases with victims. If the spinal cord is severely damaged, victims who regain consciousness risk developing permanent paralysis.Shearing injuries are also possible as a result of hard braking. This occurs as the car slows to a stop and the brain is dragged along the rough inner surface of the skull. As the brain slams against the skull, blood vessels and nerve fibers may be torn, leading to bleeding and neurological harm.To know more about blood vessels -
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distinguish between impact and impulse. which designates a force and which is force multiplied by time?
Designates a force and which is force multiplied by time. Impact designates a force while impulse is force multiplied by time.
Impact force is the force applied over a relatively brief period of time, whereas impulse is characterized in terms of the change in momentum of a body and depends on the force applied and the time period for which it is applied.
What connection exists between the impulse and the force of impact?
According to the equation, the impulse is equal to the average net external force times how long it takes for that force to act. It is equivalent to the momentum shift. A force's impact on an object is influenced by its strength, duration, and duration of action.
The term "impulse" is also used to refer to a fast-acting force or impact. This type of impulse is often idealized so that the change in momentum produced by the force happens with no change in time. Impulse of a force is defined as the product of the average force and the time interval for which the force acts on the body.
Its formula is the product of a body's mass and velocity times the time it takes. To put it another way, it is the proportion of kinetic energy that a body possesses to the distance that it travels.
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state three industrial application of magnets
Answer:
refrigerators
door bells
magnetic compass
A 14 kg block is slid from a height of 7,6 m down a friction-less incline. It comes to a flat surface and crosses a 8.6 m strip of sandpaper with a coefficient of friction of
0.19. After passing over the sandpaper, the block is traveling on a friction-less surface again. How fast is the block traveling?
The velocity with which the block is travelling on the frictionless surface is 2.5 m/s.
What is the acceleration of the block?
The acceleration of the block is calculated by applying Newton's second law of motion as follows.
μ = F / N
where;
F is the force of frictionN is the normal force on the 14 kg blockμ is the coefficient of frictionμ = F / N
μ = ma / mg
μ = a / g
a = μg
a = 0.19 x 9.8 m/s²
a = 1.86 m/s²
The time of motion of the block is calculated as follows;
t = √ ( 2h / g )
t = √ (2 x 8.6 / 9.8)
t = 1.33 s
The velocity with which the block is travelling on the frictionless surface is calculated as;
v = u + at
where;
u is the initial velocity of the block = 0a is the acceleration of the block = 1.86 m/s²t is the time of motion of the block = 1.33 secondsv = 0 + (1.86)(1.33)
v = 2.5 m/s
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what is likely to happen to the way an object moves if gravitational forces on the object do not change?
When the gravitational forces on the object does not change then object will move in predictable ways.
What happens to the object when it is moved by gravity?When objects falls to the ground, then gravity causes them to accelerate. Acceleration is the change in velocity, and velocity is a measure of the speed and direction of motion. Gravity causes object to fall towards the ground at a faster velocity.
When the Earth's gravity is lost, all items held to the Earth's surface by the gravity would float away. That includes atmosphere, water, people, cars and animals. If object were secured strongly to the Earth, then it would probably remain attached.
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If magnets are knocked around a lot or heated, their magnetism will be reduced or lost. Explain why.
Answer:
so heating a magnet disrupts the domain walls and it becomes easy for the magnet to become ordinarily misaligned and rotate. so when that happens they are now less aligned and point in the opposite direction to the neighbors causing a decrease in the magnetic field and loss of magnetism