With merely a 2. 3 m/s beginning velocity, a horizontally dart launch accelerates upward at a rate of -9.8 m/s².
Describe the concept of acceleration:The rate at which speed and distance for velocity vary over time is known as acceleration. Anything is said to have been accelerated when it goes quicker or slower in a single direction.
What is an efficient case of acceleration?When an item accelerates positively, it moves more quickly than it did before. In the first instance, the moving automobile showed positive acceleration. The acceleration is accelerating in a way that is comparable with the direction in which the vehicle is speeding up and velocomotion is accelerated in a route that is compatible with the direction in which the vehicle is
Let's say a body of mass (m) is shot from a height (h) above surface of the planet. As it descends at a faster rate, it eventually reaches the ground.
Under the influence of gravity, which is acting at a distance r from the earth's core, the body begins to accelerate in that direction.
Then, ma = GMm/r²
a = GM/r²
Therefore, the value of the acceleration due to gravity (g) = GM/r2.
Any object freely falling to the surface of the earth has acceleration due to gravity is 9.8m/s².
The earth's gravitational attraction is felt by the object if it shifts away from the planet's surface. Dart's vertical acceleration is therefore equivalent to -g.
As a result, the dart's vertical acceleration is equivalent to -9.8m/s2.
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The Cessna Cardinal, a single-engine light plane, has a wing with an area of 16. 2 m^2, and an aspect ratio of 7. 31. Assume the span efficiency factor is 0. 62. A. If the airplane is flying at standard sea-level conditions with velocity of 251 km/h, what is the induced drag when the total weight is 9800N b. Calculate the induced drag when the
The Cessna Cardinal, a single-engine light plane, has a wing area of 16.2 m² and an aspect ratio of 7.31 with span efficiency factor of 0.62 then the induced drag when the total weight is 9800 N is 18.8 N.
Given that,
Wing area (A) = 16.2m²
Aspect ratio (r) = 7.31
Efficiency factor (e) = 0.62
Weight of plane (W) = 9800 N
Velocity of airplane (v) = 251 km/h = 251× 5/18 = 69.72 m/s
We know,
Dynamic pressure (p) = 1/2ρv²
where ρ is density of plane = 1.225
p = 1/2 × 1.225 × 69.72 × 69.72 = 2977.29 pa
Lift coefficient Cl = W/p × A = W/(1/2ρv²) A
where, A is the area of wing
Cl = 9800/2977.29 × 16.2 = 0.203
Induced drag coefficient (Cd) = Cl²/πer² = (0.203 × 0.203)/(π × 0.62 × 7.31 × 7.31) = 0.041/(104.08) = 0.39×10⁻³
Induced drag (d) = p × A × Cd = 2977.29 × 16.2 × 0.39 × 10⁻³ = 18.8 N.
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Nan suitcase has a mass of 14 kg how much potential energy does it gain when she lifts it onto a bench that is 40 cm tall
The potential energy of Nan suitcase of mass 14 kg is 54.88 J.
What is Potential energy?Potential energy is the energy of a body due to its position in the gravitational field.
To calculate the potential energy, we use the formula below
Formula:
P.E = mgh............... Equation 1Where:
P.E = Potential energym = Massg = Acceleration due to gravityh = HeightFrom the question,
Given:
m = 14 kgg = 9.8 m/s²h 40 cm = 0.4 mSubstitute these values into equation 1
P.E = 14×9.8×0.4P.E = 54.88 JHence, the potential energy is 54.88 J.
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What is the function of the countercurrent system of flow?
In the renal medulla, a countercurrent mechanism keeps things in balance. The solution flows concurrently in the same direction. The solution flows in the opposite direction of the countercurrent flow.
Cross-current flow here, the liquids move in the opposing directions through the two tubes. One end of a tube in a single tube starts to flow a solution with a concentration of 0%, while the other end in the same tube starts to flow a solution with a concentration of 100%.
The kidneys have two countercurrent processes. They are the vasa recta and the Henle loop. The nephron's Henle's loop is a U-shaped structure. The two limbs of the vessel's two blood streams move in the opposing directions, creating countercurrents.
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1. A force of 60 Newtons is applied to the end of a wrench 0. 12 m long. How much torque is produced?
Answer: The amount of Torque produced is 7.2 Nm.
Explanation:
Given:
Force applied (F) to the end of a wrench = 60 Newton
Length of wrench = 0.12 meter
To find:
Quantity of Torque produced
Solution:
The quantity of Torque produced can be calculated from the following formula:
Ƭ = r F sin(θ)
Where,
Ƭ = Torque, r = radius, F = Force, (θ) = angle between F and the lever arm
In the given question,
r = 0.12,
F= 60,
(θ)= 900 {Since the force is applied at the end of a wrench, it must be perpendicular}
Torque (Ƭ) = 0.12* 60 * sin 900
= 7.2 m {sin 900 = 1}
Hence, in the given situation, 7.2 Nm Torque will be produced.
What is the SI unit of momentum?
Answer:
kgm/s(-1)
Explanation:
the units of momentum will be the product of the units of mass and velocity. Mass is measured in kg and velocity in ms-1, therefore, the SI unit of momentum will be kgm/s(-1).
A car moves at 45 kilometers per hour.
Which option describes if the given value is speed or velocity?
speed, because there is a mention of time speed, because there is a mention of time
velocity, because there is a mention of time velocity, because there is a mention of time
velocity, because there is no specific directionvelocity, because there is no specific direction
speed, because there is no specific direction
Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.
What is speed?In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.
What is velocity?In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.
In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.
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Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction
Difference Between Speed and VelocitySpeed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.
If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.
The option that describes if the given value is speed or velocity is speed, because there is no specific direction
Therefore, the correct option is speed, because there is no specific direction.
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How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2
The tension is the only force exerted horizontally to the car.And according to Newton's Law, F = ma = 1210kg * 1.20m/s = 1452N.So T =1452N.
How would a surface without friction feel?It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.
Is there any surface in the world without friction?In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.
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A candy-filled piñata is hung from a tree for Matthew's birthday. During an unsuccessful attempt to break the 4. 4-kg piñata, Hayden cracks it with a 0. 54-kg stick moving at 4. 8 m/s. The stick stops and the piñata undergoes a gentle swinging motion. Determine the swing speed of the piñata immediately after being cracked by the stick
The velocity of the other piece of the pinata which has a mass of 3.86 kg
is 0.67 m/s
The mass of the candy-filled pinata = 4.4 kg
The mass of the first piece of the pinata = 0.54 kg
The velocity of the first piece of the pinata = 4.8 m/s
The mass of the second piece = 3.86 kg
The velocity of the other piece can be found using the formula,
mu = m₁v₁ + m₂v₂
where m is the mass of the pinata
u is the velocity of the pinata at rest
m₁,m₂ are the masses of the first and second pieces of pinata
v₁,v₂ is the velocity of the two pieces
Let us substitute the known values in the above equation, we get
4.4 x 0 = 0.54 x 4.8 + 3.86v₂
= 2.592 + 3.86v₂
3.86v₂ = -2.592
v₂ = 2.592/3.86
= 0.67 m/s
Therefore, the velocity of the other piece is 0.67 m/s
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The centers of two 15.0 kilogram spheres are separated by 3000 millimeters. The magnitude of the gravitational force between the spheres is approximately:
The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.
What is the gravity force?Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.
Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.
F=GMm/r^2
G=6.67 x 10^-11N kg^2/m^2
M=(15kg)
m=15 kg
r=(3.0m)^2
putting values we have
(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2
1.67 x 10^-9N
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A 16-cm-long nichrome wire is connected across the terminals of a 1.5 V battery.
What is the electric field inside the wire?
What is the current density inside the wire?
If the current in the wire is 2.0 A , what is the wire's diameter?
The electric field inside the wire is equal to 1.5 V/16 cm, or 0.09375 V/cm.
What is battery?
Battery is a device that stores energy and is capable of providing a current of electricity when connected to an electrical device. It typically consists of one or more electrochemical cells, which convert stored chemical energy into electrical energy.
The current density inside the wire is equal to 2.0 A/16 cm, or 0.125 A/cm.
The wire's diameter can be calculated using the formula I = πρd2/4,
where I is the current in the wire,
ρ is the resistivity of nichrome,
and d is the diameter of the wire.
Plugging in the values given,
we get 2.0 = π(1.1×10-6 Ω•m)d2/4, or d2 = 8.18×10-5 m.
Taking the square root of both sides, we get d = 0.028 m, or 2.8 mm.
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If the Barbie had a mass of 0.23kg and the Barbie was dropped 11ft 11inches (assuming there was no rubber bands) how fast would the Barbie be moving at the bottom of the path?
The Barbie would be moving with speed 27.69 ft/s at the bottom of the path.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Mass of the Barbie = 0.23 kg.
Initial height of the Barbie: h= 11 ft 11 inches = ( 11 + 11/12) feet = 11.92 feet.
Acceleration due to gravity: g = 32.17 ft/s²
Hence, the speed of the Barbie at the bottom of the path = √(2gh)
= √( 2 × 32.17 ×11.92) ft/s
= 27.69 ft/s.
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A car goes into a skid and comes to a gradual stop, accelerating at a constant rate to do so. At the midpoint of the skid, how much of its kinetic energy has the car lost (as a percentage, give % as the units)?
The percentage of the lost kinetic energy of the car, at the midpoint of the skid, is 50%.
In physics, work is the measurement of the energy used to move objects. When you are walking, you're using energy to move your body so the work done would be greater than zero.
According to work-energy theorem, work is equal to force times displacement (W = F · x).
A type of energy is kinetic energy, which is the energy of a moving object. If an object is at rest, its kinetic energy is zero. Kinetic energy is equal to one half of a mass times velocity squared (KE = 0.5 · m · v²).
When a car goes into a skid and comes to a gradual stop, at the midpoint of the skid the car has spend 50% its kinetic energy. This is simply because the velocity of the car at the midpoint of the skid is half the velocity of the car when the car starts going into a skid, assuming constant acceleration.
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The populations of the great apes in Africa are recovering and on the rise.
Please select the best answer from the choices provided
T
F
Answer:
False
Explanation
Poaching, habitat loss and diseases are contributing to the death of animals there, example: Gorilla
Answer:
false
Explanation:
A student is pushing on a heavy door, trying to slide it open. Their friend stands behind them and helps push. How have the forces changed
There will be an increase in the net force.It appears that an object is moving faster, slower, or in a different direction.
What actually constitutes force?There are several instances of forces in daily life, including:heft and powerthe force a bat applies to a ball.the pressure that a hair brush applies to hair when brushing it.the pressure your foot applies to the pedal when you're riding a bike.
What occurs when a force shifts?An object can change its size or shape, begin moving, stop moving, accelerate, or decelerate as a result of a pressure applied on it.
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Does rain occur most often in warm air masses, cold air masses or at warm fronts where two meet and interact?
Answer:
at warm fronts where two meet and interact
Explanation:
Warm fronts often bring stormy weather as the warm air mass at the surface rises above the cool air mass, making clouds and storms
ps. I'm not very sure if it's correct
Les mélange et le transformations de la matiers
Les molécules sont arrangées autrement, ce qui modifie l'aspect ou l'état de l'espèce chimique. Un mélange est une substance composée de plusieurs espèces chimiques qui ne réagissent pas ensemble, au contraire de la transformation chimique. Il s'agit donc d'une transformation physique, qui ne change pas la matière.
which of the two stationary charges q1=2 c and q2=10 c will create stronger magnetic field?
Because the charges at rest are unable to produce a magnetic field, neither of the two stationary charges will do so.
There is no magnetic field created when a charge is stationary since there is no motion inside the charge. Thus, nothing except an electric field is created.
Charges that are at rest can also feel the electric force. Charges in motion can experience magnetic force. Therefore, the electric field must not be zero and the magnetic field may or may not be zero if a charged particle at rest experiences an electromagnetic force.
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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required
The current required by the electric heater which has the power of 15,000 W is 62.5 A
The power of the heater = 15,000 W
The voltage used by the heater = 240 V
The current required by the electric heater can be found using the formula,
P = VI
where P is the power of the electric heater
V is the voltage used by the electric heater
I is the current required by the electric heater
Let us rearrange the above equation in order to get the current required by the heater is
I = P/V
Let us substitute the known values in the above equation, we get
I = 15,000 / 240
= 62.5 A
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The half life of a radioactive substance is the time taken for the activity to halve. Use the graph to calculate the half life of the radioactive isotope.
Radioactive element which keeps on decaying over the time. Decay of radioactive element always comes under first order kinetics. Therefore the half life time of radioactive substance is 2seconds.
What is half life?Half life tells about the time at which the radioactive material decays to half of its initial concentration.
Mathematically,
half life time=0.693/ rate constant of the decay
The half life of a radioactive substance is the time taken for the activity to halve. Using the graph to calculate the half life of the radioactive isotope, we find that activity that is 3500 so, half of this activity is 17500 which is corresponding to time 2 seconds.
Therefore the half life time of radioactive substance is 2seconds.
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The heat of fusion of a substance is 42. 5 J/g. How much energy is released when 40 g of this substance at its freezing point completely changes into a solid? Show your work.
A. ) 1. 700
B. ) 1. 06
C. ) 42. 5
D. ) 0 J
The heat energy of the substance option (A) -1700J is correct.
We are given that,
Heat of fusion of a substance = ΔHf = 42.5J/g
Mass of the substance = m= 40g
The latent heat of fusion is the quantity of heat required to transform one gramme of a substance from a solid to a liquid. But in this case, it's important to figure out how much heat is released as liquid copper solidifies. So, ΔHf = -42.5 J/g
Thus , we have to calculated here the heat energy of the substance by the formula,
q = m·ΔHf
Where, q is heat energy ,m is mass ΔHf is the heat of fusion of a substance,
q = m·ΔHf
q = -42.5 J/g× 40g
q = -1700J
Therefore , the heat energy of the substance would be option (A) -1700J
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which effect proves more conclusively that an object is charged, attraction to or rep;usion from antoher object
According to Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
What is Coulomb's Law?
Coulomb's Law is a fundamental principle in physics that describes the interaction between electrically charged objects. It states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Attraction or repulsion between two objects is one way to determine if an object is charged. The presence of an electric charge on an object can be determined by observing whether it experiences a force of attraction or repulsion when brought near another charged object.
Attraction or repulsion between two charged objects is a fundamental effect of electric charges. Opposite charges will experience a force of attraction towards each other, while like charges will experience a force of repulsion away from each other. This is known as Coulomb's Law.
Therefore, as per Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
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true or false Visual inspection of the brake drum friction surface is not required, only measure drum diameter.
It is False that Visual inspection of the brake drum friction surface is not required, only measure drum diameter.
What serves as a brake drum?No matter whether the vehicle is moving forward or backward, drum brakes produce uniform braking force. Drum brakes produce the same amount of braking force in both directions, which explains this. This kind is typically utilized for the passenger car's rear brakes.
Unusual brake pedal sensation is one of the first indications when drum brakes are damaged or failing. Excessive brake drum wear might result in vibrations that can be felt in the pedal. When you press the pedal, any trembling or pulsating brought on by worn drums will be audible.
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a potential difference of 12 volts causes 2.0 x 10^ 20 electrons to pass a point in a wire in 1 minute calculate
1) the amount of the charge that passes the point in 1 minute ,given that the charge of each electron is 1.6 x10^-19
coulomb
2)electric current in the wire
3)resistance of the wire
Answer:
Q = N e total charge passing point
Q = 2.0E20 * 1.6E-19 coul = 32 coulombs
2) I = Q / t = 32 C / 60 s = .53 amps
3) R = V / i = 12 volts / .53 amps = 23 ohms
After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
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In a transformer, energy is carried from the primary coil to the secondary coil by
A. The magnetic field in the iron core
B. The electrical heating of the primary coil
C. Electricity conducted through the iron core
D. The difference in voltage between the primary and secondary coils.
In a transformer, energy is carried from the primary coil to the secondary coil by The magnetic field in the iron core.
What is transformer?
A Transformer is an electrical device used to increase or decrease the voltage provided to an electrical circuit. It is made up of two or more coils of wire wound around a common core. The coils are typically referred to as the primary and secondary winding. Electricity flowing in the primary winding creates a magnetic field, which in turn induces a voltage in the secondary winding. The ratio of primary to secondary winding determines the output voltage. Transformers are used extensively in the electricity distribution network, enabling the safe and efficient transmission of electricity over long distances.
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What are the main mechanisms that affect the gene pool?
Answer: Natural selection, Genetic drift , Mutations and Gene flow
Explanation:
A simple pendulum has length L and period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes:
The new period would be T/2.
The period of a simple pendulum is given by T = 2π √(L/g), where,
L is the length of the pendulum g is the acceleration due to gravity.When the string is clamped at its midpoint, the length of the pendulum is effectively halved.
So the new period would be T' = 2π √(L/2g) =π √(L/g) = T/2.
Period of Simple Pendulum:
The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. It is determined by the length of the pendulum (L) and the acceleration due to gravity (g). The mathematical formula for the period of a simple pendulum is T = 2π √(L/g).The length L of the pendulum is the distance from the pivot point (the point at which the pendulum is attached) to the center of mass of the pendulum bob (the weight at the bottom of the pendulum). The longer the pendulum, the longer the period will be.The acceleration due to gravity (g) is a constant value of approximately 9.8 m/s^2 on the surface of the Earth. The value of g is used in the formula because the force of gravity is what causes the pendulum to oscillate.It's important to note that the period of a simple pendulum is independent of the amplitude of the oscillations (the angle at the pendulum is displaced from its equilibrium position), as long as the amplitude is small enough that the pendulum's motion can be considered simple harmonic motion.Learn more about Simple Pendulum here;
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How electrostatic induction differ from charging by friction
Explanation:
Electrostatic is a force between two non-conductors
while
Friction oppose the relative motion between two surface or object.
a force of 15 N is used to push a box along the floor a distance of 3 meters. find the amount of work done
Answer:
The amount of work done is 45 J.
Explanation:
We know that the force applied is 15N. The amount of displacement experienced by the box is 3 metres along the floor.
Thus, F= 15N
D= 3 metres
The formula for calculating work done is W= F×D
Thus, W=15×3
W=45J
Thus, the amount of work done is 45J.
A rectangular tank 6 m long, 2 m deep and 2. 4 m wide contains 1 m of water. The tank is accelerated in the x-direction (along the direction of the 6 m length) with an acceleration 2. 45 m/s^22. 45m/s 2. What is the angle (in degrees) of the water surface with the horizontal
The angle (in degrees) of the water surface with the horizontal is 14.3 degrees
The angle of the water surface with the horizontal can be determined using the concept of the accelerations of gravity and centripetal force. The acceleration of gravity acts in the downward direction, and the centripetal force acts in the opposite direction of the acceleration. In this case, the horizontal acceleration of the tank is 2.45 m/s^2, which acts in the opposite direction of the gravitational acceleration.
The angle of the water surface with the horizontal can be found by taking the tangent of the ratio of the centripetal acceleration to the gravitational acceleration.
tan(theta) = (centripetal acceleration) / (gravitational acceleration)
tan(theta) = (2.45 m/s^2) / (9.8 m/s^2) = 0.25
Theta = 14.3 degrees
So the angle of the water surface with the horizontal is 14.3 degrees.
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