Answer:
See below
Explanation:
1800 j/(kg C) = x J / (.20 kg * 50 C)
solve for x J = 180 000 J
The amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.
What is the amount of energy?The amount of energy (Q) needed to raise the temperature of a substance can be calculated using the formula:
Q = mcΔT
where Q is the amount of energy, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
In this case, the mass of the cooking oil is 0.20 kg, the specific heat capacity of the oil is 1800 J/(kg·°C), and the temperature needs to be raised by 50°C. Substituting these values into the formula, we get:
[tex]Q = (0.20 kg) x (1800 J/(kg·°C)) x (50°C)[/tex]
Q = 18000 J
Therefore, the amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.
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3. how are the voltage and current related? are they in phase or out of phase? what is the phase angle between the voltage and the current?
The voltage and current are related is to resistive circuit.
What is resistive circuit?
In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.
What is the relationship between the phases of voltage and current?
Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.
Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.
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starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times
Kinetic energy, which can be seen in the movement of an object, particle, or group of particles, is the energy of motion.
What is the formula to calculate kinetic energy?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.Kinetic energy is a unit of measurement for the amount of work that a moving thing can accomplish.KE=1/2mv2energy KE = units
mass m = 15
velocity v = 30
KE = 6750 J
Here, m stands for mass, a measure of how much matter is contained within an object, and v for velocity, a measure of how quickly the object changes positions.To Learn more About Kinetic energy refer to :
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the electric field between two charged parallel plates separated by a distance of 1.8 cm has a uniform value of 2.4 x 104 n/c. find the potential difference between the plates. how much kinetic energy would be gained by a deuteron in accelerating from the positive plate to the negative plate? (a deuteron is a particle with one proton and one neutron.)
The electric field is radially outwards from positive charge and radially in towards negative point charge.
What is an electric field, exactly?Any sort of charge causes an electric field to be associated to a location in space. The strength and direction of the electric field are expressed by the value of E, also referred to as the electric field strength, electric field intensity, or simply the electric field. The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units. These two are sometimes referred to as the sources of the field since they produce the magnetic field with moving charges (currents) and the electric field with stationary charges, respectively.
AV = EAX = (2.4*10N.X0.018) V/M
off = 432
N2V jk N.mm
1/2=12
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Which is an example of an anomaly that led to a theory being overturned?
O The recognition that people use up energy, get tired, and need to rest
O The discovery that oil will cause a rolling ball to move farther
O The belief that as Earth rotates, it drags surrounding ether with it
The discovery that materials, when burned, release phlogiston
An example of an anomaly that led to a theory being overturned is: The discovery that materials, when burned, release phlogiston.
What is a theory?A theory can be defined as an integrated set of principles and rules that can be used by a scientist to explain and predict observed events.
According to Thomas Kuhn, the process of any scientific discovery usually starts with the awareness of an anomaly and ends with making an adjustment to scientific theory in order to make a previously anomalous to become expected.
What is the phlogiston theory?The phlogiston theory can be defined as a superseded scientific theory which stated that a fire-like materials (elements) referred to as phlogiston, are found within combustible bodies and they are released when burned or during combustion.
However, the phlogiston theory is an anomaly that was later overturned by a scientists known as Antoine Lavoisier in 1772, who proved that combustion and burning of any chemical substance or materials (elements) requires a gas that has mass.
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a satellite of mass 1000 kg is in a circular orbit around a planet. the centripetal acceleration of the satellite in its orbit is 5 ms2. what is the gravitational force exerted on the satellite by the planet?
The gravitational force exerted on the satellite of mass 1000 kg moving in a circular orbit with a centripetal acceleration of 5 m/s² by the planet is 5000 N (option C). The, the force acting on the satellite is: Therefore, the gravitational force exerted on the satellite by the planet is 5000 N (option C).
f
An influence that can alter an object's motion is called a force. A mass-containing object's velocity can change, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction. The rate at which an object's velocity with respect to time changes is called its acceleration. Vector quantities include accelerations. The direction of the net force acting on an object provides information about its acceleration.
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A steel bar has a width of 10 cm at 50oC At what temperature will it fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1)? A. 75oC B. 0.005oC C. 75.5oC D. -75.50C
The temperature at which the bar will fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1 is 95.5 °C
Δ L = L - Lo
Δ T = T - To
Δ L = Change in length
L = Initial length
Lo = Final length
α = Co-efficient of linear expansion
Δ T = Change in temperature
T = Initial temperature
To = Final temperature
L = 10 cm
Lo = 10.005 cm
T = 50 °C
Δ L = - 0.005 cm
α = 11 * [tex]10^{-6}[/tex] / °C
Δ L / L = α Δ T
Δ L / α L + T = To
To = ( - 0.005 ) / 11 * [tex]10^{-6}[/tex] * 10 + 50
To = 45.5 + 50
To = 95.5 °C
Therefore, the temperature at which the bar will fit exactly into a hole is 95.5 °C
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Answer:
The steel bar will fit exactly into the hole at a temperature of 95.45°C.
Explanation:
To find at what temperature the steel bar will fit exactly into a hole of a constant width, use the Linear Expansion equation.
Linear Expansion equation[tex]\boxed{L_1-L_0=L_0 \cdot \alpha \cdot (T_1-T_0)}[/tex]
where:
L₀ is the initial width.L₁ is the final width.α is the coefficient of thermal linear expansion.T₀ is the initial temperature.T₁ is the final temperature.As we want to find the final temperature, rearrange the equation to isolate T₁:
[tex]T_1=\dfrac{L_1-L_0}{L_0 \cdot \alpha}+T_0[/tex]
Given values:
L₀ = 10 cmL₁ = 10.005 cmα = 11 × 10⁻⁶ 1/°CT₀ = 50°CSubstitute the values into the equation:
[tex]\implies T_1=\dfrac{10.005-10}{10 \cdot 11 \times 10^{-6}}+50[/tex]
[tex]\implies T_1=\dfrac{0.005}{0.00011}+50[/tex]
[tex]\implies T_1=95.45^{\circ}\text{C}\; \sf (2\;d.p.)[/tex]
Therefore, the steel bar will fit exactly into the hole of constant width 10.005 cm at a temperature of 95.45°C (to two decimal places).
Note: The answer is not one of the options provided.
PLEASE HELP!!!!
Which story matches the graph?
(1 point)
The elevator moves up, is stationary for a while, then moves down at a faster rate.
The elevator moves up, stays at ground level, then moves down at a faster rate.
The elevator moves up, stays at ground level, then moves down at a slower rate.
The elevator moves up, is stationary for a while, then moves down at a slower rate.
The story that fits the graph is; he elevator moves up, is stationary for a while, then moves down at a slower rate.
What is a position time graph?
The term position time graph shows us how the position of the object is changing with time. The position in this case has to do with the exact point in space where the object can be found. We have here an elevator that could be found at various points.
We now have to turn to the graph and see how the graph can be able to give a description of the motion of the elevator. If we look at the position time graph, it tends to move up and then remain at a point for some time before it moves down.
Based on the analysis that we have made above, we can now look out for any of the stories that fits the description that we have just made here.
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light bulbs produce useful energy in the form of light and waste energy in the form of heat. what kind of light bulb would you use to incubate eggs?(1 point)
To incubate the eggs, we need to use a low-efficiency light bulb because it will produce more heat.
The working light bulb in the incubator is when it turned on the machine the bulb lit up and the box got hot. When the temperature reaches 38 degrees Celsius, the sensor triggers the temperature controller to turn off the bulb. Therefore, the temperature of the box was kept up to a certain limit. Humidity in the box was maintained by a jar filled with water. Water was added daily to keep the humidity between 60% and 90%. Eggs were rotated twice daily to ensure that all sides of the eggs were hatched. This buildup was monitored for up to 22 days.
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a car, initially moving with some initial velocity, accelerates until its momentum has increased by a factor of 2.39. by what factor has its kinetic energy increased?
Since the kinetic energy equation squares velocity, velocity increases have exponential effects: while doubling an object's mass doubles its kinetic energy, doubling its velocity quadruples it!
Definition and examples of kinetic energyThe energy of motion, or kinetic energy, is manifested in the motion of a particle, an object, or a group of particles. Kinetic energy is used by any moving thing, including people moving, baseballs being thrown, table crumbs falling, and charged particles in electric fields.
What 3 types od kinetic energy are there?Kinetic energy is divided into three subtypes: vibrational, rotational, or translational. Unsurprisingly, items that vibrate produce vibrational kinetic energy. Moving objects generate rotational kinetic energy, whereas object collisions generate translational kinetic energy.
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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be ____ m/s/s.
An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be 5.62 [tex]m/s^{2}[/tex]
force 1 = mass1 * acceleration 1
force 1 = mass1 * 8
f1 = m1 * 8
force 2 = mass 2 * acceleration 2
force1 / 3.7 = (mass 1 / 2.6) * acceleration 2
f1 / 3.7 = (m1 / 2.6) * a2
( m1 * 8 ) / 3.7 = (m1 / 2.6) * a2
a2 = 5.62 [tex]m/s^{2}[/tex]
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In which scenario below does the ball have more gravitational potential energy when sitting at the top?
Why?
A. The ball
travels up
the stairs
to a
height of
3 ft.
B. The ball
travels straight
up the column
to a height of 3
ft.
In both the cases gravitational potential energy is same.
What is gravitational potential?Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s².
Given two cases height of the top is 3 ft so the potential energy is same as potential energy is dependent on height of the ball.
In both the cases gravitational potential energy is same.
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two light bulbs of resistance 25 ohms and 30 ohms are connected in parallel. what is the equivalent resistance of the circuit?
The equivalent resistance of the circuit is 14.28 ohms.
Resistance- 25 ohms and 30 ohms in parallel
so, the equivalent resistance
1/R =1/R1+1/R2
1/R =1/25+1/30
1/R =0.07
R = 14.28 ohms
If two or more components are connected in parallel, they have the same difference of potential (voltage) across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applied to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff's current law.
A parallel circuit's total resistance is always lower than any of its branch resistances. The total resistance in the circuit decreases when more parallel resistances are added to the lines.
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al walks down to the bottom of an escalator that is moving up and he counts 150 steps. his friend, bob, walks up to the top of the escalator and counts 75 steps. if al's speed of walking (in steps per unit time) is three times bob's walking speed, how many steps are visible on the escalator at a given time? (assume that this value is constant.)
The minimum number of steps visible on the escalator at any given time is 150.
Let's assume that the escalator is moving upward at a constant rate, so that the distance traveled by al in one unit of time is equal to three times the distance traveled by bob in one unit of time, which means that al will take three times as many steps as bob does.
Let's say that al walks down 50 steps per unit time, and bob walks up 25 steps per unit time. We know from our earlier assumption about constant speed that al will take three times as many steps as bob does, so if al walks down 50 steps per unit time, then bob walks up 75 steps per unit time—but we also know that there are 150 total visible steps on the escalator at any given point in time.
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a horizontal wire that is 25 m long and has a mass of 100 g is held under a tension of 10 n. a sinusoidal wave of frequency 25 hz and amplitude 15 mm travels along the wire. calculate the maximum traveler velocity of any particle of the wire.
the maximum velocity of movement of any particle of the wire is 3.87 m/s
AND)
and)
L = wire length = 25 m
m = weight of wire = 100 g = 0.1 kg
The linear mass density of the wire is given as
μ = m/L = 0.1/25 = 0.004 kg/m
T = tensile force in the wire = 10 N
the speed of the wave along the wire is given as
v =√(T/μ)
v = √ (10/0.004)
v = 50 m/s
(ii)
A = amplitude = 15 mm = 0.015 m
f = frequency = 25 Hz
the maximum lateral velocity is given as
Vmax = 2πfA
Vmax = 2(3.14)(25)(0.015)
Vmax = 2.4 m/s
b)
F = force acting on each edge = 2.5 N
L = length of each edge = 0.75 m
m = weight of each edge = 125 g = 0.125 kg
the speed of the waves on the sheet is given as
v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s
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how much tension must a rope withstand if it is used to accelerate a 1054 kg car horizontally along a frictionless surface at 1.23 m/s2?
The tension must a rope withstand is 1296.42N
Given- Mass m=1054 kg
acceleration= 1.23 m/s²
To find Tension generated .
Principle -Tension is the reaction of the action applied that means due to application of mass along with acceleration there is a urge towards earth and to substantiate it or to form a couple the reaction occurred is tension that equalises the role of force,
Mathematically , Force = ma ⇒Tension
F=T
T=ma
Calculations & Answer - T= 1054 x 1.23
= 1296.42N
Since T=F so unit of force and tension will be same.
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everyday application: suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) if the string is stationary and the yo-yo accelerates away from it at a rate of , what is the angular acceleration of the yo-yo? (b) what is the angular velocity after 0.750 s if it starts from rest? (c) the outside radius of the yo-yo is 3.50 cm. what is the tangential acceleration of a point on its edge?
If it starts at rest, the angular velocity after 0.750 is 5.1. The symbol for angular velocity in SI units is s1.
Explain about the angular velocity?When an object rotates or circles around an axis, its angular velocity is the rate at which the angle between the two bodies changes. The angle that is made by a line on one body and a line on the other in the illustration represents this displacement.
Examples of angular velocity include a roulette ball on a wheel, a race car travelling in a circle, and a Ferris wheel. In addition, the object's angular displacement with respect to time is represented by the angular velocity of the object.
Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second.
Angular acceleration
a = a /r
= 1.7/0.250
a =6.8
Angular velocity
omega = a*t
= 6.8 *0.75
=5.1
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an american traveler in new zealand carries a transformer to convert new zealand's standard 230 v to 120 v so that she can use some small appliances on her trip. what is the ratio of turns in the primary and secondary coils of her transformer?
The ratio of turns in the primary and secondary coils of her transformer is 1.916
Primary voltage = 230v
secondary voltage = 120v
The ratio of turns in primary and secondary coils of transformer is given by,
Np/Ns = 230/120
= 1.916
Transformer: a piece of equipment used to increase or decrease voltage while transferring electrical energy from one alternating-current circuit to another or several circuits. Transformers are used for a wide range of tasks, including lowering the voltage of traditional power circuits to operate low-voltage appliances like doorbells and toy electric trains and raising the voltage of electric generators to enable long-distance transmission of electrical power.
Transformers alter voltage using electromagnetic induction, which means that current is induced in a second coil known as the secondary as the magnetic lines of force (flux lines) build up and collapse with changes in current travelling through the primary coil. To determine the secondary voltage, multiply the primary voltage by the number-to-number ratio. Transformers are devices that convert electrical energy from a single alternating-current turn in the secondary coil to the number of turns in the main coil, a measurement known as the turns ratio.
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(a) if the kinetic energy of a baseball is doubled, by what factor has its speed increased? (b) if its speed is doubled, by what factor does its kinetic energy increase?
Due to the fact that kinetic energy is proportional to the square of the speed, doubling the speed results in a four-fold increase in kinetic energy.
As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.
Speed squared determines kinetic energy. The kinetic energy of an item increases by a factor of four with speed.
Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.
Thus, the relationship between kinetic energy and mass and velocity is direct. Since kinetic energy is exactly proportional to both the square of velocity and mass, its value increases by an order of eight.
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which method would be most helpful in locating the center of gravity of an object? which method would be most helpful in locating the center of gravity of an object? applying a known torque to the object hanging the object from a string spinning the object like a top carefully weighing the object
Plumb-line method By hanging an item from several places and marking the vertical line with a plumb line, you can empirically determine where an object's center of gravity is located.
The object's center of gravity is where two or more vertical lines converge at a point on the plumb line.
A plumb line is a string that hangs perpendicular to the earth's surface with a large weight attached to it. The center of mass of the object will be traversed by a line drawn parallel to the plumb line. Draw a line along the second plumb line after repeating the process with a different attachment point.
Rub a rope through colored chalk to create a plumb line, then tack it to the top of the wall. Then secure the loose end with a plumb bob (or other tiny weight). Pull the cord taut while maintaining the bob's natural position of falling.
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Highlight (1) calculator
Species
0 0
Harbor seals live off the coast of New England and feed on various fish, squid, shrimp, and other marine life. A sea
approaches a school of fish consisting of mackerel, herring, and harbor pollock. The population of each species is
shown in the table.
mackerel
herring
harbor pollock
What is the probability the seal catches a mackerel?
You may use the calculator.
25%
20%
15%
33%
Elag for Review Normal Color Scheme
Population
15
23
37
There is 20% probability that the seal catches a mackerel.
What is probability?How likely something is to occur is known as its probability.
To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.
Given,
mackerel 15
herring 23
harbor pollock 37
probability = possible event/ no. of event
probability = 15/ 15+23+37
probability = 15/ 75
probability = 0.2
∴ probability is 20%
For numbers less than 1 out of 1,000 (such as 0.20 out of 1,000), it is clearer to recast them as “200 out of 10,000” (“2 out of 10,000,” for instance).
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a projector has a focal length of 10.0 cm. after focusing, the lcd object is 10.5 cm from the lens. how many cm is the image screen from the lens?
The image screen is 10.5 cm from the lens.
The focal length of the lens is 10.0 cm, so once the lens focuses, it will be 10.0 cm from the object. In order to find how many centimeters away from the lens the image screen is, we need to use trigonometry and Pythagorean theorem.
Where x is the distance between our object and our projector in meters, and y is the distance between our projector and our image screen in meters. We know that y = 10.5 cm, or 0.105 m; we also know that x = 0 meters because our object is placed directly on top of our projector (therefore it's at 0 m).
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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?
A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.
A magnetic field is what?It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.
The information provided in the issue is;
What is a proton's acceleration equal to?
The speed is 8.0 m/s, therefore v.
B = 1.8 T is the magnetic field.
The centripetal force and the megnetic force are equivalent;
qvB =m v/r
ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27
=1.27*10m/s
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two charges interact with 100 newtons attractive force initially. when their distance is increased by four times, what will be the force between them?
The force between the two charges will be 25k N m.
This can be determined by using Coulomb's Law, which is a formula relating the forces between two charges (q 1 and q 2 ) at a distance r apart. The formula states that their force is equal to kq1q2/r2, where k is a constant (9 × 109 N m2/C2). If we plug in the values of 100 newtons for each charge and 4 meters for their distance, we get:
F = 100k/(4 × 109) = 25k N m
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an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid.
Taking into account the definition of density, the density of the liquid is 0.8 g/cm³.
Definition of densityDensity is defined as the property of matter, whether solid, liquid, or gas, that allows the amount of mass in a given volume of a substance to be measured.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Density of the liquidIn this case, you know that:
Density= ?Mass of the empty beaker= 130 gMass of liquid + Mass of the empty beaker= 170 gMass of liquid= (Mass of liquid + Mass of the empty beaker) - (Mass of the empty beaker)= 170 g - 130 g= 40 gVolume= 50 cm³Replacing in the definition of density:
density= 40 g÷ 50 cm³
Solving:
density= 0.8 g/cm³
In summary, the density in this case is 0.8 g/cm³.
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Since the toy car is halting, the acceleration is -36 m/s2, which equals the toy's deceleration.
What is acceleration?A moving object can occasionally alter its velocity by the same amount every second. The data table above depicts an item altering its velocity by 10 m/s every second, as was described in the paragraph above. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration.
The object's force is calculated by multiplying its mass by the speed at which it is traveling. The product is the vector. Kg-m/s2 or Newton is the SI symbol for force (N). The force's equation is as follows:
F = ma
where,
Force is F
m is mass
a is acceleration
The specified values for force are f = 9.0N and m = 0.25kg.
∴ F = ma
9.0 = 0.25 × a
a = 36 m/s²
Therefore, the magnitude is -36m/s2 and the negative sign denotes the toy car's deceleration.
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a 200 g mass is placed on the meter stick 20 cm from the fulcrum. a 170 g mass is used tobalance the system. how far will it have to be located from the fulcrum to keep the systeminbalance?
200 g mass is placed on meter stick 20 cm from fulcrum. a 170 g mass is used to balance the system and placed the meter stick at 23.52cm.
What is equilibrium?A dynamic or static equilibrium between opposing forces or actions, such as when forces are acting on a body and the resultant is zero (as in a reversible chemical reaction when rates of reaction in both the directions are equal)
The word "equilibrium" derives from the Latin word "libra," which means "weight" or "balance." As a constellation, astrological sign, and representation of the zodiac, Libra is sometimes shown as a set of balance scales, frequently held by the blindfolded goddess of justice, which stands for justice, fairness, and equality. Biology, chemistry, physics, and economics all have different definitions of equilibrium, yet they all refer to the harmony of opposing forces.
F₁d₁ = F₂d₂
m₁gd₁ = m₂gd₂
m₁d₁ = m₂d₂
here,
m₁ is mass of known object = 200 g
m₂ is mass of unknown object = 170 g
d₁ is distance from fulcrum of known object = 20 cm
d₂ is distance from fulcrum of unknown object = ?
∴ 200 × 20 = 170 × d₂
4000 = 170 × d₂
4000/170 = d₂
d₂ = 23.52 cm
170 g mass is placed at the distance of 23.52 cm.
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a prize wheel is spinning in a vertical circle when an acceleration of 2.0 rad/s2 is applied to the edge of the wheel for 3.0 s. if the final velocity of the wheel was measured to be 9.0 rad/s, what was the initial velocity of the wheel?
A prize wheel is spinning in a vertical circle when an acceleration of 2.0 rad/s2 is applied to the edge of the wheel for 3.0 s. if the final velocity of the wheel was measured to be 9.0 rad/s, the initial velocity of the wheel will be ω0 = 3 rad/s
time = 3 seconds
acceleration = 2 [tex]rad/s^{2}[/tex]
final velocity = 9.0 rad/s
initial velocity = ?
using
ω = ω0 + αt
9 = ω0 + 2 * 3
ω0 = 3 rad/s
The initial velocity of the wheel will be ω0 = 3 rad/s
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suppose the skateboarder starts with 0 kinetic energy at the point -5 and starts to roll. describe the motion she will go through assuming that whatever resistive forces are acting can be neglected. describe one full cycle of the motion.
The kinetic energy will start dropping that is slows down , she keeps slowing down while the kinetic energy keeps decreasing with potential energy rising.
What is kinetic energy and what is the motion of the skateboarder starting with 0 kinetic energy ?Kinetic energy is the motion of the molecules of the container due the rise in temperature.Potential energy is the form of energy that an object gains as it is lifted and is stored and conserved.When she is proceeding to speed up potential energy drops and kinetic energy increases.Skateboarder keeps on speeding till +3 units till the potential energy drops.Then the potential energy starts to drop while the kinetic energy keeps on increasing.Skateboarder keeps slowing down till potential energy rises and kinetic energy drops to zero.To know more about kinetic energy visit:
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at what speed do a bicycle and its rider, with a combined mass of 120 kgkg , have the same momentum as a 1800 kgkg car traveling at 5.4 m/sm/s ? express your answer to two significant figures and include the appropriate units.
27m./s speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.4 m/s.
Speed can be defined as the distance travelled by the object per unit time. Momentum can be defined as the product of the mass and the speed of the object.
The equation for the momentum is p = mv
Here, m is the mass of the object and v is the speed of the object. The equation for the impulse is, I = mΔ v
Here, m is the mass and is the change in momentum. The equation for the change in speed is
Here, ΔV = [tex]V_{f} -V_{i}[/tex]
is the initial speed [tex]v_{i}[/tex]
is the final speed.[tex]v_{f}[/tex]
Step: 1
The equation for the momentum of the bike and rider is, P (B+R)= M [tex](B+R)^{V}[/tex]…… (1)
Here, M (B+R) is the mass of the bike and rider, and v is the speed of the bike and rider.
The equation for the momentum of the car is [tex]P_{car} = m_{car} V_{car}[/tex]…… (2)
Here,
[tex]m_{car }[/tex]is the mass of the car and
[tex]V_{car}[/tex]is the speed of the car.
According to the question, the momentum of the bike and rider is the same as that of the momentum of the car, that is,
Substitute the equations (1) and (2) in above equation.
[tex]M_({B+R^{v} )}[/tex]= [tex]M_{car}V_{car}[/tex]
Rearrange the above equation for v. v = [tex]M_{car}V_{car}[/tex]/[tex]M_({B+R^{} )}[/tex]
Substitute 1800 kg for[tex]M_{car}[/tex] , and for 5.4m/s in above equation.
v = ( [tex]\frac{(1800) (5.4)}{120}[/tex] = 27m./s
Here, the momentum of the bike and rider is depending on the combined mass of the bike and rider and the speed of the bike and raider.
What is speed?Measurement is the most important concept in science. There are many measurable quantities that are measured in basic or fundamental physical units. Speed is one such measurable quantity that measures the ratio of the distance travelled by an object to the time it takes to travel. Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time.
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In a classroom demonstration, a 79. 2-kg physics professor lies on a "bed of nails. " The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body?
Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back.
The Force of a Bed of NailsLying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back. According to physics, a force exerted downward will be dispersed across the nails, lowering the force that each nail applies individually. The force that each nail exerts decreases with the number of nails.
Given
m=79.2 kg The mass of the Physics Professor
n=1950
The Number of Nails in the Bed of Nails
Solving for the weight of the professor applied to the board of nails
W=mg
W=(79.2 kg)(9.8 ms2)
W=776.16N
Solving for the force applied by the individual nails.
Fn=Wn
Fn=776.16 N1950Fn=0.398
N Therefore each nail applies 0.398 N of force.
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