When a drawn bow of potential energy 40 joules is fired, ideally the arrow will have a kinetic energy of 40 joules.
Energy that is stored in an object and is yet to be used by the object is known as potential energy. When the object moves, it gains kinetic energy. Kinetic energy is the energy acquired from the motion of an object.
There is also what is known as mechanical energy, which is the sum of the potential energy and the kinetic energy. Ideally, especially in a closed system, the potential energy of an object is equal to the kinetic energy of the object.
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Two particles (m1 = 0. 20 kg, m2 = 0. 30 kg) are positioned at the ends of a 2. 0-m long rod of negligible mass. What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?.
The moment of inertia of the rigid body about an axis perpendicular to the rod and through the center of mass is 0.48 kgm²
The mass of the first particle = 0.2 kg
The mass of the second particle = 0.3 kg
The distance between the mass = 2 m
The moment of inertia between this rigid body can be found using the formula,
I = m₁m₂r² / (m₁ + m₂)
where I is the moment of inertia
m₁,m₂ is the mass of the first and second particles
r is the distance between the particles.
Let us substitute the known values in the above equation, we get
= (0.2 x 0.3 x 2²) / (0.2 + 0.3)
= 0.24 / 0.5
= 0.48 kgm²
Therefore, the moment of inertia of the rigid body is 0.48 kgm²
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if a 540n box is lifted .8m high by force of 320n moving a distance of 1.5m what is the efficiency of the machine?
The efficiency of the machine is determined as 11.11 %.
What is the efficiency of the machine?
The efficiency of a machine is the ratio of output force to input force multiplied by 100 percent.
Mathematically, the formula for efficiency of a machine is given as;
Eff = ( output force / input force ) x 100%
Eff = ( effort x distance moved by effort ) / ( load x distance moved by load ) x 100 %
Eff = ( 320 N x 1.5 m ) / ( 540 N x 8 m ) x 100 %
Eff = 11.11 %
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The upward movement of air in the atmosphere generally causes the temperature of that air to.
The upward movement of air in the atmosphere generally causes the temperature of that air to decrease. This process is known as "adiabatic cooling," and it occurs because as air is lifted it expands and cools.
The adiabatic process is important because it helps to create temperature differences in the atmosphere that drive weather systems. When air is heated by the sun, it rises and creates an area of low pressure at the surface. As the air rises, it cools and creates an area of high pressure aloft. This temperature contrast creates a force that pushes the air back down to the surface, creating winds and driving weather patterns.
It's worth noting that not all the lifting of the air masses always leads to cooling, it can also lead to heating. This happens when air is lifted and expands but still holds the same temperature, or when it's lifting in a moist environment and the moisture condenses, releasing heat (latent heat), making the air warm up, this is called adiabatic warming or "adiabatic ascent"
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2. Next, choose all the evidence that supports your argument. You may look back at your evidence cards.
-Evidence Card A: Magnetic Pole Arrangement
-Evidence Card C: Rail Material
-Evidence Card F: Number of Wire Coils
-Evidence Card G: Distance Between the Car and Launcher
To solve this we must be knowing each and every concept related to variables. Therefore, because the evidence cards all represent variables, none of them should be deleted.
What are variables?A variable is any trait, characteristic, number, or quantity that changes over time or may take on different values in different contexts (as contrast to constants, such as n, which do not change).
Magnetic pole configuration is a variable since its values can vary.
The quantity of coils is indeed a variable since it might have several numbers.
Rail material is indeed a variable since its values might vary.
The distance between the automobile and the launcher is flexible since it might take various values.
Therefore, because the evidence cards all represent variables, none of them should be deleted.
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which type of star is common in the spiral arms of our galaxy, and found almost nowhere else?
Our galaxy's spiral arms include many high-mass O and B stars, which are scarce elsewhere.
The Scutum-Centaurus arm and the Carina-Sagittarius arm of two spiral arms have tangent points inside the Sun's orbit around the Milky Way's centre. By counting the stars close to the tangent point, it would be possible to determine whether these arms have more stars than the Galactic disc on average density. The remaining arms have too much gas but not too many ancient stars. [201] In December 2013, scientists discovered that the Milky Way's four-arm spiral shape is accurately described by the distribution of young stars and star-forming regions. As a result, the Milky Way seems to have four spiral arms when gas and young stars are present and two spiral arms when ancient stars are present. Uncertainty surrounds the cause of this apparent mismatch.
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The table shows the number of charged subatomic particles in an ion. Charged particles charge on particle number of particles positive 12 negative 10 a positively charged substance is brought near the ion. What will most likely happen and why?.
The ion will repel the substance because it has lost two electrons.
An ion is a charged specie. We can see from the question that the ion has twelve positive and ten negative particles.
If there are more positive particles than negative particles, then the ion is positively charged.
If the ion is positively charged, it will repel another positively charged particle because like charges repel while opposite charges attract.
What are Positive Ions and Negative IonsThese two ions have a very prominent main difference.
The net electric charge in this case is a prominent difference where positive ions have a net negative electric charge, whereas negative ions actually contain a net positive electric charge.
The Difference between Positive Ions and Negative IonsAn understanding of what positive and negative ions are will be more complete if you also know the detailed differences between the two.
Below are some indicators of the difference between positive and negative ions:
1.Net Cost
Net charge became the first indicator used to differentiate between positive and negative ions. In this case, the positive ion is the type of ion that has a negative net charge.
Vice versa, if the negative ion is a type of ion that contains a net charge in the form of a positive charge.
2. Ionization
In the ionization or formation process, positive ions are exothermic while negative ions are more endothermic.
3. Electrode
The electrode is the third indicator to distinguish positive ions and negative ions. During electrolysis, positive ions will be attracted to the anode. Unlike the negative ions which will be attracted to the cathode during electrolysis.
4. Establishment
In ionization or the formation process, positive ions are formed by attracting electrons, whereas for negative ions are formed due to lost electrons.
5. Element Type
Element types are also included in the positive and negative ion distinguishing indicators. In general, positive ions are formed by non-metallic elements, while negative ions are formed by metallic elements.
6. Content Example
The last indicator that can be used to distinguish the two types of ions is to identify the contents in them.
With the groups of substances in it, then later you can determine the difference between the two.
Some of the substances that include positive ions are fluorides, sulfides, chlorides, iodides, bromides, nitrides and hydrides. While negative ion content is found in Sodium, Lead and Iron.
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At what angle is a force directed it its horizontal component is 10 N and the vertical component is 15 N?
The angle at which the force is directed if its horizontal component is 10 N and the vertical component is 15 N is 56°.
What are the horizontal and vertical components of a force?
The horizontal component of a force is the force that acts in the horizontal direction while the vertical component of a force is the force that acts in the vertical direction.
Then, the horizontal component of the vector is given by the cosine of the angle of the force.
The vertical component is given by the sin of the force.
For the given forces;
The angle between them, tan θ = 15/10
θ = 56°
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What changes can be made to the transfer of energy as heat to a heat engine in order to increase the amount of work done by the engine
To increase the amount of work done by a heat engine, changes can be made in the transfer of energy in the form of heat to the engine.
This must include the following changes to the engine:
Increase the temperature difference between the hot and cold reservoirs, or you can increase the efficiency of the engine by increasing the Carnot efficiency. You can also increase the mass flow rate of the working fluid, as more energy can be transferred per unit time or use a better working fluid to increase the thermodynamic efficiency.Additionally, you can reduce the irreversibilities in the engine, such as friction and heat losses, will also increase the efficiency of the engine, as more of the energy will be able to be converted into useful work.Learn more about the transfer of energy in the form of heat to a heat engine:
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What is an example of positive work?
O A fleeing princess is lowered on a rope.
O A pitcher throws a baseball.
A skydivers parachute opens.
O A catcher catches a baseball.
A pitcher throws a baseball : Here the motion of the ball is the same direction as the direction of the applied force.(Positive Work)
What is Positive Work ?When force and displacement are applied to an object in essentially the same direction, the work is referred to as positive work. Example: When a body is traveling forward on a horizontal surface, force and displacement interact.
If the force's direction and the displacement are the same or not, that is an indicator of work being done. Work is positive if they are moving in the same direction; otherwise, it is negative. Work performed on a charge when it is transported slowly is always in the opposite direction of the work performed by the electric force.
In the following Examples :
1 : A fleeing princess is lowered on a rope : The princess exert a force at a 90° angle to the direction of motion
2: A pitcher throws a baseball : Here the motion of the ball is the same direction as the direction of the applied force.(Positive Work)
3: A skydivers parachute opens: The direction of motion is opposite to that of applied force.
4: A catcher catches a baseball : The direction of motion is opposite to that of applied force.
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A bullet of mass 0. 01 kg is fired into a sandbag of mass 0. 49 kg hanging from a tree.
As the bag was at rest, its initial momentum is zero. a) The momentum after the collision is 5 Kgms-1 ; b) The momentum before the collision is 0.1 Kgms-1 and the velocity of the bullet and the velocity of the ball before collision is 500 ms-1.
What is meant by linear momentum?The term momentum refers the product of mass and velocity. If mass of the object and its velocity are known , then we calculate the momentum.
Given a bullet of mass 0. 01 kg and sandbag of mass 0. 49 kg
Momentum before the collision of bullet = 0.01 kg × v
=0.01 * 10
= 0.1 Kgms-1
Momentum before the collision for bag = 0
Momentum after collision of bag and bullet = (0.01 kg + 0.49 kg) 10 = 5 Kgms-1
Velocity of the bullet before collision = 0.01 kg × v + 0 = 5 Kgms-1
= 5 Kgms-1/0.01 kg
So, v = 500 ms-1
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Note: The question given on portal is incomplete. Here is the complete question.
Question : A bullet of mass 0.01 kg is fired in to a sand bas of mass 0.49 kg from a tree. The Sand bag with the bullet embedded in to it swings a way at lo m/s find a The momentum after the Collision b, The momentum before the Collision the velocity of the bullet
Find the equivalent resistance if a 45 a 36 and a 15 resistor are connected in parallel
The equivalent resistance of the resistors connected in parallel is 8.57 ohms.
What is a resistance?Resistance is the opposition to current flow in a circuit.
To calculate the equivalent of the resistances connected in parallel, we use the formula below.
Formula:
R' = (1/R₁)+(1/R₂)+(1/R₃)................. Equation 1Where:
R' = Equivalent resistanceR₁,R₂,R₃ = Values of the Resistors connected in parallelFrom the question,
Given:
R₁ = 45 ohmsR₂ = 36 ohmsR₃ = 15 ohmsSubstitute these values into equation 1
1/R' = 1/45+1/36+1/151/R' = (4+5+12)/1801/R' = 21/180R' = 180/21R' = 8.57 ohmsHence, the equivalent resistance is 8.57 ohms.
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How much energy is absorbed when 10g of ice at0 0 C becomes steam at 100 0c?
7200 cal of heat are absorbed in total when 10g of ice melts to steam at 100° C. This is the correct answer.
Can latent heat be measured?Sensible heat is defined as measurable heat, whereas latent heat is defined as unmeasurable heat. Water may evaporate and turn into vapor, but cooling causes the vapor to turn back into water.
Can a thermometer detect latent heat?Sensible heat is the heat that can be detected by a thermometer. In contrast, latent heat is energy that is absorbed during the evaporation of water, for instance. In the resulting steam, it is "stored." Latent heat cannot be measured with a thermometer.
Briefing:Total heat absorbed:
ΔH fusion + ΔH temp.rise +ΔHvap = 10×80+10×1×100+10×540=7200cal
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When 10g of ice melts to steam at 100° C, a total of 7200 cal of heat are absorbed. The right response is this.
Latent heat is defined as heat that cannot be measured, whereas sensible heat is defined as heat that can be measured. Although water may evaporate and become vapor, cooling makes the vapor return to being water. The heat that a thermometer can measure is referred to as sensible heat. Latent heat, on the other hand, is energy that is absorbed during processes like the evaporation of water. It is "stored" in the steam that results. A thermometer cannot be used to detect latent heat. When 10g of ice melts to steam at 100° C, a total of 7200 cal of heat are absorbed. The right response is this.
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a 150-w light bulb is designed to operate at 110 v dc. how much current does it draw?
The current drawn by the light bulb of power 150 W is 1.36 A
The power of a light bulb = 150 W
The light bulb will operate with a voltage of 110 V
The current that will be drawn by the light bulb can be found using the formula,
P = VI
where P is the power of the bulb
V is the voltage at which the bulb will operate
I is the current drawn by the light bulb
Let us rearrange the above equation in order to get the value of the current,
I = P/V
Let us substitute the known values in the above equation, we get
I = 150 / 110
= 1.36 A
Therefore, the current drawn by the light bulb is 1.36A
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What is the definition of atmospheric perspective ?
Atmospheric perspective is a technique in art that conveys depth by modulating color, value, and texture to make distant objects appear hazy, bluish, and less distinct.
This technique is used to make objects in the background appear further away, as if seen through a misty or foggy atmosphere.
Atmospheric perspective is an important artistic technique that allows artists to create the illusion of depth in their work. By modulating color, value, and texture, distant objects appear blurred and less distinct, which gives the painting a more realistic and three-dimensional appearance. This technique is used in many different types of art, from landscape paintings to architectural drawings, and is essential for creating a realistic representation of the world.
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What would the domains in the unrubbed nail would look like after only being rubbed a few times by a magnet
The presence of the nearby north pole rearranges the magnetic domains inside the nail so that their south poles all point toward the north pole of the permanent magnet.
What is a Magnet?This is referred to as a material that can produce its own magnetic field and consists of two poles which are north and south pole.
In a scenario whereby a nail is rubbed a few times by the magnet, the magnetic domains inside the nail rearranges such that the south poles all point toward the north pole of the permanent magnet and the other end of the nail becomes a north pole.
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B2-RT15: RIFLE SHOTS-TIME TO HIT GROUND The rifles in the figures are being fired horizontally (straight outward, off platforms). The bullets fired from the rifles are all identical, but the rifles propel the bullets at different speeds. The speed of each bullet and the height of each platform are given. All of the bullets miss the targets and hit the ground. 500 m/s 800 m/s 800 m/s 1200 m/s 40 m 40 m 30 m 20 m Rank the time it takes the bullets to hit the ground. OR All All the same zero determine Cannot 4 Least Greatest Explain your reasoning.
THE ANSWER BELOW THE PICTURES.
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What is the relation between intensity of wave and frequency?
If intensity is energy per unit area per unit time then how kinetic energy of photoelectron is constant with increasing intensity of light and it increases when frequency of light is increased
What is intensity and frequency of wave ?The amount of energy that a wave may transfer to a unit area of a surface each second is measured as the wave's intensity. (Watts per square metre are used to measure intensity.) A sound wave's frequency is equal to its rate of vibration, and its intensity is determined by its amplitude.
You may have the impression that the greater the frequency, the louder the noise we hear is, yet frequency does not indicate the volume of a sound. The energy of a vibration is quantified in decibels as intensity or loudness (dB). A sound has a high intensity if it is loud.
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find an explicit relation between x and y in the form y=f(x) by eliminating the parameter. x = -t, y = 3 - 2t, 0 lessthanorequalto t lessthanorequalto 2 y = _____________
The explicit relationship between x and y.0 < t < 2, y = 3 + 2x, x = -t, y = 3 - 2t is y = f(x)
An explicit function is one that is modeled with an independent variable. The statement y = 4x - 7 is explicit when y is a dependent variable and depends on the independent variable x, for example. An explicit function is one that has many variables, one of which is a function of another set of variables.
In an explicit algebraic function, the dependent variable can be stated directly in terms of the independent variable. To distinguish between ideas that are explicitly stated and those that are indicated in writing, the phrases explicit and implicit are used. Whether or not the relationship between the sentences is explicit determines how transition words and phrases should be used (stated).
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________ meteorites are thought to be analogous in composition to earth's core.
Iron meteorites are supposed to be similar to the earth's core in composition.
This implies that similar abundances should have been present in the Earth's core given that iron meteorites are regarded to be equivalent to the development of planetary cores. These meteorites can be grouped into three primary categories by scientists: stony, iron, and stony-iron. These kinds all have numerous sub-groups.
Brutal Meteorites Minerals that contain silicates—a substance consisting of silicon and oxygen—make up stony meteorites. They also contain iron and nickel, two metals. The core is almost entirely comprised of metal, notably iron and nickel, in contrast to the crust and mantle, which are rich in minerals. Iron-nickel alloys found in the core are denoted by their chemical symbols, NiFe.
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If a particle's speed increases by a factor of 4, by what factor does its kinetic energy change? a. 16
b. 4
c. 8
d. 2
Kinetic energy of object is an energy which is possessed due to motion.
Examples of kinetic energy,
Before a football has been struck shows zero kinetic energy as its velocity is zero.
When an shooting star falls at an lighting speed, it has a huge amount of kinetic energy.
The formula for kinetic energy is
KE = ½ mv²
The SI unit of kinetic energy is Joule,which is precisely 1kg.m².
If we say that the particle speeds increases by a factor N, then the mass is not changing and we keep the mass constant.
The increase in speed is by the factor of 4 as given in the question.
KE = v²
As mass is constant
KE = (4N)²
KE = 16N
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An object with a mass of 3.3 kg experiences an applied force of 6.0 N and a frictional force of 0.8 N. What is it the resulting acceleration?
Answer:
2.06ms^-2
Explanation:
Fr = 0.8N, Fa = 6.0N, a = ?
Where Fr is the frictional force
" Fa is the Applied force
First you have to find the Net force(Fn)
Fn = Fr + Fa
Fn = 0.8 + 6.0
Fn = 6.8N
Fn = ma
Making acceleration subject of the formula
a = Fn/m
a = 6.8/3.3
a = 2.06060
therefore a = 2.06ms^-2
Match the description of an object's motion with the position-time graph that represents at A. slowing down B. moving with constant speed C. not moving D. speeding up
The descriptions of object's motion with the position-time graph that represents at:
D. speeding up - Graph 1
C. not moving - Graph 2
B. moving with constant speed - Graph 2
A. slowing down - Graph 3
What is motion?Motion is the conceptual notion in which an object moves from its position with respect to time. Motion is acceptable to be described in terms of displacement, distance, velocity, acceleration, speed.
Furthermore, Motion is a change in an object's position over time. It is the result of forces acting upon an object, and can be described in terms of distance, speed, and direction.
Therefore, it is a change of position or orientation of a body with the change of time. looking at the attached graph, it can then be concluded that the correct answers are as given above
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A student pulls a block 3.0 meters along a horizontal surface at constant velocity. The diagram below shows the components of the force exerted on the block by the student. String ck8.0N Horizonta apaaaaaaaSurface 3.0 m How much work is done against friction? 1) 6J 2) 18 J 3) 24 J 4) 30 J 5) 42 J
The work done by student when he apply a force of 8 N on a string is 24 J.
What is work done?Work is said to be done when ever a force moves a body through a certain distance.
To calculate the work done by the student, we use the formula below
Formula:
W = Fd.................... Equation 1Where:
W = Work doneF = Forced = DistanceFrom the question,
Given:
F = 8 Nd = 3 mSubstitute these values into equation 1
W = 8×3W = 24 JHence, the work done by student is 24 J.
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is submerged to a depth of 220 m in the ocean. The surface temperature is 25oC, and the temperature 220 m down is 5.0oC. The density of seawater is 1025 kg/m3. How high does the seawater rise in the bell when it is submerged
Answer:
2200 m (the volume of the displaced seawater multiplied by the density of seawater).
Explanation:
The volume of the displaced water can be calculated using the formula V = (d*A), where V is the volume, d is the depth, and A is the area of the bell. Therefore, V = (220 m * A). The amount of water that has to rise in the bell is then equal to the mass of the displaced seawater, which can be calculated using the formula m = (d*A*ρ), where ρ is the density of seawater. Therefore, m = (220 m*A*1025 kg/m3). Finally, the height of the seawater in the bell can be calculated using the equation h = (m/ρ), which gives h = (2200 m).
the while loop gets its name from the way it works: while a condition is false, do some task. T/F
The statement of while loop get its name from the way it work and while a condition in the loop is read as false, the while loop will do some task is false because every condition (true or false condition) in while loop will always executed but the body which is not always execute.
How while loop works?While loop is one of the statement that used in the programming language, this statement is use to solve the problem that has certain condition to fulfill. While loop will execute the name or statement that are given as parameter then read the condition whether it is happen or not. When the condition is true, the while loop will execute programs that is written in its body, and if the condition is false, the will loop only read the parameter condition but did not execute the programs that is written in its body.
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Equilibrium: A uniform 40-N board supports two children weighing 500 N and 350 N. If the support is at the center of the board and the 500-N child is 1.5 m from its center, how far is the 350-N child from the center
The distance of 350-N child from the center is 2.14 m
It is Given that
Weight of the board, wt = 40 N
Weight of the first children, wt = 500 N
Weight of the second children,wt₂ = 350 N
The distance of the 500 N child from center, a = 1.5 m
lets take distance of the 350 N child from center = b m
Now by taking the moment about the center of the board
We know that moment = Force x Perpendicular distance from the force
wt(1) x a = wt(2) x b
500 x 1.5 = 350 x b
b = 2.14 m
Hence, the distance of 350-N child from the center is 2.14 m
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A force is exerted on the tires of a car to accelerate the car along the road.The force is exerted by the ___
a. engine
b. tires
c. air
d.road
The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction. Hence the correct Option is D. road .
What is force?Force is defined as the product of mass and acceleration of an object.
F = m a ; where F is the defined force.
where,
m= mass
a = acceleration
What is Friction?Friction is defined as the force that resists the movement of an object over another.
Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.
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What is the power of the lens that has a focal length of 40 cm and a diameter if 5.0 cm? 23) A) +20 diopters B) +2.7 diopters C) -2.5 diopters D) +2.5 diopters E) +0.20 diopters
The lens has a +2.5 diopter power at a focal length of 40 cm and a diameter of 5.0 cm. The correct option is (D).
The power of a lens is a measure of its ability to bend light and is measured in diopters (D). It is defined as the reciprocal of the focal length (f) of the lens in meters.
P = 1/f
Given that the focal length of the lens is 40 cm = 0.4m, the power of the lens can be calculated as:
P = 1/f = 1/0.4 = 2.5 D
It is important to note that the diameter of the lens has no effect on the power of the lens. Power depends only on the focal length of the lens. So the answer is D) +2.5 diopters.
It also worth mentioning that if the focal length is negative, that means the lens is a diverging lens and the power will be negative.
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Father is pushing a playground merry-go-round
The angular acceleration produced (a) when no one is on the merry-go-round is 6.67 rad/s. b) when an 18.0-kg child sits 1.25 m away from the center is 4.44 rad/s
How to solve for the angular accelerationWe have M = 50 and R = 1.50
Then we have to solve for the moment of Inertia
I = 0.5 * 50 * 1.5²
I = 56.25 kg/m²
R * F = 1.5 * 250
= 375
angular acceleration at A = 375 / 56.25
= 6.67 rad / s²
b. α * ( {50*1.5*1.5/2} + {18*1.25*1.25} ) = 1.5*250
This would have to be the total moment of inertia of this child as well as the merry go round.
= 375 / 84.38 kg
= 4.44 rad/s
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complete question
Consider the father pushing a playground merry-go-round. He exerts a force of 250 N at the edge of the 50.0-kg merry-go-round, which has a 1.50 m radius. Calculate the angular acceleration produced (a) when no one is on the merry-go-round and (b) when an 18.0-kg child sits 1.25 m away from the center. Consider the merry-go-round itself to be a uniform disk with negligible retar.ding friction.
A book is pushed with an initial horizontal velocity of 5.0 meters per second off the top of a desk. What is the initial vertical velocity of the book
The book initial vertical velocity of the book, that is pushed off the top of a desk, is 0.
When the book is pushed off the top of a desk, the book only has horizontal velocity and zero initial velocity. This can be validated by the fact that the total velocity of the book due to horizontal component will be 5. So, based on the formula -
V² = Vx² + Vy², where V is final velocity, Vx is horizontal velocity and Vy is vertical velocity.
Keep the values in formula -
5² = 5² + Vy²
Vy² = 25 - 25
Vy² = 0
Thus, initial vertical velocity of the book is 0.
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