a. Her x position at t = 0.80 s is 0.0832 m
b. Her y position at t = 0.80 s is -28.8 m
c. Her x velocity component at t = 0.80s is 2.08 m/s
d. her y velocity component at t = 0.80s is -3.6 m/s
Since the skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south and a constant acceleration of 2.6 m/s² toward the east.
Her velocity v = (0i - 3.6j) m/s and her acceleration a = (2.6i + 0j) m/s²a. What is her x position at t = 0.80s ?Now since she starts from the origin, to find her x position after 0.80 s, using the equation of motion for the x - components of motion,
x = ut + 1/2at² where
u = x - component of velocity = 0 m/s, a = x - component of acceleration = 2.6 m/s² and t = time = 0.8 sSo, substituting the values of the variables into the equation, we have
x = ut + 1/2at²
x = 0 m/s × 0.8 s + 1/2 × 2.6 m/s² × (0.8 s)²
x = 0 m + 1.3 m/s² × 0.64 s²
x = 0 m + 0.832 m
x = 0.832 m
So, her x position at t = 0.80 s is 0.0832 m
b. What is her y position at t = 0.80s ?Using the equation of motion for her y - components of motion, her y position is y = ut + 1/2at² where
u = y - component of velocity = -3.6 m/s, a = y - component of acceleration = 0 m/s² and t = time = 0.8 sSo, substituting the values of the variables into the equation, we have
y = ut + 1/2at²
y = -3.6 m/s × 0.8 s + 1/2 × 0 m/s² × (0.8 s)²
y = -3.6 m × 0.8 s + 0
y = -28.8 m
So, her y position at t = 0.80 s is -28.8 m
c. What is her x velocity component at t = 0.80s ?Using the equation of motion for her x - component of motion, her x velocity compoent after t = 0.8 s is
v = u + at where
u = initial x - component of velocity = 0 m/s, a = x - component of acceleration = 2.6 m/s² and t = time = 0.8 sSo, we have
v = u + at
v = 0 m/s + 2.6 m/s² × 0.8 s
v = 0 m/s + 2.08 m/s
v = 2.08 m/s
So, her x velocity component at t = 0.80s is 2.08 m/s
d. What is her y velocity component at t = 0.80s ?Using the equation of motion for her y - component of motion, her xyvelocity compoent after t = 0.8 s is
v = u + at where
u = initial y - component of velocity = -3.6 m/s, a = y - component of acceleration = 0 m/s² and t = time = 0.8 sSo, we have
v = u + at
v = -3.6 m/s + 0 m/s² × 0.8 s
v = -3.6 m/s + 0 m/s
v = -3.6 m/s
So, her y velocity component at t = 0.80s is -3.6 m/s
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I have this quick question for a tutor?
cylinder that 25cm diameter have the greatest elastic potential energy.
The energy that is stored when a force is used to deform an elastic object is known as elastic potential energy. Until the force is released and the object springs back to its original shape, doing labor in the process, the energy is retained. The object may be compressed, stretched, or twisted during the deformation.
The elastic limit of an object intended to store elastic potential energy will normally be high, but the maximum load that an elastic object can support is a property shared by all elastic objects. The elastic limit is the point at which an object can be deformed without losing its original shape
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If your bathroom scale reads 150 lbs, what is your mass in kg? What is your weight in newtons?
A cellphone emits a radio signal with a frequency of 1910 MHz. Determine its wavelength
The wavelength of the radio signal, λ = 1.57 m.
Equation :To find the wavelength we use the formula,
fλ = c
where,
f is frequency of radio signal
c is speed of light
λ is wavelength
So,
The known values are :
frequency = 1910 MHz
speed of light = 3 x 10⁸ m/s
λ = ?
By rearranging the formula we get,
λ = c / f
Putting values,
λ = 3 x 10⁸ m/s / 1910 MHz
λ = 3 x 10⁸ m/s / 1.91 x 10⁸ Hz
λ = 1.57 m
What is wavelength and frequency?The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz). In this article, the relationship between wavelength and frequency is covered.
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Express the speed of 60 m per minute in km per hour.
Answer:
3.6 kilometres per hour
Explanation:
for an approximate result, divide the speed value by 16.667
. Biologically, humans are "preprogrammed" to have one major sleep cycle at night and another short one in mid-afternoon. In some cultures, a Siesta is the norm, while in other cultures, people are expected to remain awake all day. Other cultures may emphasize practices that lead to sleep deprivation, such as working long hours, socializing until late at night, and getting up early in the morning. What attitudes does your culture have toward sleep?
A new study shows that your body clock doesn't determine when you go to bed, but it does affect how you wake up in the morning.
Cultural pressures and daily responsibilities can override our body clocks and affect how long we sleep, according to a study in Science Advances.
But when people wake up, researchers say, it's not just about doing morning chores like going to work or school, it's also heavily dependent on your body clock.
The new findings are a reminder that sleep is more important than many realize, researchers said. Even if taken, the person still builds up a sleep debt.
Studies have found that middle-aged men sleep the least, often less than the recommended 7-8 hours.
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Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 67.1 N, Jill pulls with 89.7 N in the northeast direction, and Jane pulls to the southeast with 123 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey.
The strength of the force increases when all the forces are pulling in the same direction. When forces are exerted on an item from different angles, the force's strength reduces.
What is force?The definition of force is: The pushing or pulling that alters the velocity of a mass item. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are several instances of forces in daily life, including: heft and force (i.e. the weight of something) the force a bat applies to a ball. the pressure that a hair brush applies to hair when brushing it. the pressure exerted by your foot.
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If the same rock is placed in four different locations, in
which location will the rock have the most potential
energy?
Select one:
O In a sandbox.
O On the street.
O On the sidewalk.
O In a tree.
In a tree if the same rock is placed in four different locations, the rock will have the most potential energy.
What means potential energy?Potential energy is a form of energy stored that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
If a steel ball is raised just above ground as opposed to falling to the ground, it has more potential energy. An object has potential energy as a result of its position in relation to other objects. Potential energy is so named because it has the ability to transform into other types of energy, like kinetic energy.
Where is potential energy?Potential energy is the energy that is held within a material or an object. Energy in an object held vertically is known as gravitational potential energy. Potential energy that can be stretched or compressed is known as elastic potential energy.
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Identify two kinds of data the student will likely collect during his experiment. Identify the type of data collected and how the student might present his data.
The two kinds of data that can be collected during an experiment are qualitative and quantitative data.
What are qualitative and quantitative data?
Numbers are used to convey quantitative data, which are measurements of values or counts. Numerical variables are the subject of quantitative data.
Qualitative data are represented by a name, symbol, or number code and are measurements of "types." Data concerning categorical variables make up qualitative data.
To provide a complete picture of a population, quantitative and qualitative data are frequently combined since they produce distinct results. For instance, if yearly income statistics are acquired (quantitative), occupation data might also be gathered (qualitative) to learn additional specifics about the average annual income for each type of profession.
Depending on whether the variable of interest is numerical or categorical, it is possible to acquire both quantitative and qualitative data from the same data unit.
Therefore, the two kinds of data that can be collected during an experiment are qualitative and quantitative data.
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A series circuit has two resistors A and B. The total resistance is 27 ohms. A
has a resistance of 15 ohms. Calculate the resistance of B.
All of the parts of a series circuit are wired together end to end to create a single path for current flow. In a parallel circuit, one component is linked across the other by the same voltage at exactly two electrically common nodes.
A series circuit has two resistors A and B. The total resistance is 27 ohms. A has a resistance of 15 ohms. Calculate the resistance of B.
"12Ω"
In a series circuit the current is constant throughout the circuit and the resistance is the sum of all the resistances in it.
R_eq = ∑ Ri
in this case we have
R_eq = R₁1 + 3 R₂
where R₁ is the resistance of A and R₂ the resistance of B.
let's calculate
27 = 15 + R2
R2 = 12Ω
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According to the perpetual load theory and fMRI research, which of the following happens during distracted driving?
Multiple Choice
O
O
decrease in activity in a small part of the brainstem (pontine tegmentum)
decrease in activity in the reticular activating system of the brain stem
decrease in activity in areas of the brain involved in processing spatial information
decrease in activity in areas of the brain involved in language processing
During distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.
What is MRI?The MRI is the kind of studies that could be used to obtain the activity of the brain. The term MRI stands for magnetic resonance imaging. It is the type of study that shows what parts of the brain are at work when certain activities are going on.
Now, when a person is driving, the person makes use of the parts of the brain that are in charge of spatial information. Hence, during distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.
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The Ruby-throated Hummingbird (Archilochus colubris) can flap its wings with an angular speed of 342 rad/s . What is the period of its flapping motion?
When the Ruby-throated Hummingbird flap its wings with an angular speed of 342 rad/s, the period of its flapping motion is 0.018 seconds.
How to illustrate the information?Rotational velocity, sometimes referred to as angular frequency vector, is a pseudovector used in physics to express how quickly an object's angular position or orientation varies over time.
A scalar measurement of the rotating item is its angular speed. A vector representation of the rotating object is the angular velocity. Only the magnitude is specified for angular speed.
It should be noted that w = 2πf
f= frequency
f= 342 / 2 × 3.14
= 54.49Hz
Therefore, the time period will be:
= 1 / Frequency
= 1 / 54.49
= 0.018 seconds.
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The period of its flapping motion
T=0.018 s
This is further explained below.
The process in which an object's location changes in relation to the passage of time is referred to as motion.
The mathematical representation of motion includes variables such as displacement.
Generally, omega,=2pi
f=frequency
f =(omega)/(2pi)=(346)/(2*3.14)=55.09Hz
Timeperiod
T=(1)/(f),
T=(1)/(55.09)
T=0.018 s
In conclusion, A full cycle of vibration takes the amount of time shown by the symbol T, which is referred to as the Period. The length of time it takes for a wave to complete one cycle shortens as its frequency rises.
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A ball is dropped from the top of a 55.0 m-high cliff. At the same time, a carefully aimed stone is thrown straight up from the bottom of the cliff with a speed of 26.0 m/s. The stone and ball collide part way up.
Distance from base of the cliff is 33.2 m
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
It is given that
height of cliff = 55.0 m
speed of stone = 26.0 m/s
y1 = 55.0 - 4.9 t^2
y2 = 26 t - 4.9 t^2
y2 - y1 = 26 t - 55
t = 55/26 = 2.11 s
y1 = 33.2 m
Hence, distance from base of the cliff is 33.2 m
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Complete Question
A ball is dropped from the top of a 55.0m high cliff. At the same time, a carefully aimed stone is thrown straight up from the bottom of the cliff with a speed of 26.0m/s The stone and ball collide part way up.
How far above the base of the cliff does this happen in meters?
we distinguish two categories of forces: __________ forces are those in which matter
A box has a mass of 30kg and accelerates at a rate of 3 m/s. If the force of friction on the box is 20N, how much force did YOU exert in order to move it?
The amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.
How to calculate force?The force applied to a body can be calculated by adding the resultant force to the frictional force as follows:
Applied force = resultant force + frictional force
However, the resultant force (F) can be calculated by using the following formula:
Resultant force = mass × acceleration
Resultant force = 30kg × 3m/s²
Resultant force = 90N
Applied force = 90N + 20N = 110N
Therefore, the amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.
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a) What looks like 21 individual rings around the girls neck is actually 21 turns of a coil of brass. Each turn has a circumference of 40cm. Calculate (in cm) the total length of brass used to make the girl's neck ring.
Answer:4
Explanation:
The capacitance of two capacitors connected in series will is
analogous to
a. two resistors connected in series
b. two resistors connected in parallel
c. none of the above.
d. all of the above.
The capacitance of two capacitors connected in series will is
analogous to two resistors connected in parallel.
What is capacitor?In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.
The International System of Units' (ISO) standard unit of capacitance is the farad (F) (SI). It denotes a substance's capacity to store an electric charge. Most electrical capacitors are measured in farads, microfarads (F), or nano-farads to express their value (nF).
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Question 1
Imagine running one hour straight west at 12 km/h and then changing direction
quickly and running one hour straight north at 12 km/h. What was your total
distance? Round to the nearest whole number.
O 34 km NW
O 12 km
O 24 km
O 17 km NW
1 pts
Answer: 24km
Explanation:
hope this helps
Use the relationship shown in
Figure 18 to predict the travel time when
speed is 110 km/h.
The time taken to travel when the speed is 110 km / h is 2.7 hours to cover a distance of 300 km.
We know that,
v = d / t
where,
v = Velocity
d = Distance
t = Time
From the given graph,
At t = 6 hrs, the time taken is 50 km / h
d = 6 * 50
d = 300 km
So this graph represents the time it takes to cover 300 km at different speeds.
At v = 110 km / h
t = 300 / 110
t = 2.7 hrs
The given graph is an example of inverse relationship. An inverse relationship is a hyperbolic relationship in which one variable is the inverse of other variable.
Therefore, the time taken is 2.7 hrs.
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the acceleration of your bike as your ride it home to the store
Your acceleration varies as you travel to the store. Your total speed can change over time; sometimes it can go up, sometimes down. Because doing so would mean you would keep speeding up and eventually pass the store, constant acceleration doesn't happen. In physics, even a decrease in speed is a form of acceleration. When you arrive at it, we can determine how much your average speed was and examine the impact that varying acceleration would have had on it.
According to estimates of the power needed to ride, cyclists deliver about 150 W when riding level terrain, but this increases to about 250 W when cycling up hills. On a flat surface, the average acceleration is 0.231 m/s2, and the acceleration phase has an average duration of 26 seconds. On average, 120 W of power is output during this phase.
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The accompanying photo shows a KC-10A Extender using a boom to refuel an aircraft in flight. If the velocity of the KC-10A is 125 m/s due east relative to the ground, what is the velocity of the aircraft being refueled relative to (a) the ground, and (b) the KC-10A?
The velocity of the aircraft relative to the ground is 125 m /s due East and relative to KC-10A is zero
Given that,
Velocity of KC-10A with respect to ground = 125 m / s due East
The refueling aircraft is in contact with KC-10A in order to refuel KC-10A. In order to remain in contact, the velocity of both the KC-10A and refueling aircrafts must be equal. Therefore, if seen from ground both the aircrafts should be moving with same velocities which is 125 m / s due East.
If seen from KC-10A, the refueling aircraft seems to be not moving as both the aircrafts are moving at same velocities. Therefore, in relation to KC-10A the refueling aircraft has zero velocity.
Therefore, the velocity of the aircraft relative to the ground is 125 m /s due East and in relation to KC-10A is zero
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5. A ball is thrown up in the air with an initial velocity of 11.4 m/s. What is the maximum height in the air the ball will reach?
Answer:
6.50m
Explanation:
Vf=0
Vi=11.4
g=-10(against the gravity)
D=x?
Vf²=vi²+2ad
0²=11.4²+2(-10)d
0=129.96+-20d
-129.96=-20d
-129.96/-20=d
D=6.50m
A student's research indicates that Pluto's radius is 1.172 x 10 m and its mass is
1.2 x 1022 kg.
a. Calculate the gravitational field strength at Pluto's surface.
b. calculate the force of gravity at Pluto’s surface of an object with a mass of 100kg
The gravitational field strength at Pluto's surface is 5.827 x 10⁹ N/kg.
The force of gravity between the object and Pluto's surface is 5.827 x 10¹³ N.
What is the gravitational field strength at Pluto's surface?
The gravitational field strength at Pluto's surface is calculated as follows;
G_E = GM/r²
where;
M is mass of the Plutor is the radius of PlutoG is universal gravitation constant = 6.67 x 10⁻¹¹ Nm²/kg²G_E = (6.67 x 10⁻¹¹ x 1.2 x 10²²) / (1.172 x10)²
G_E = 5.827 x 10⁹ N/kg
Force of gravity between the object and Pluto's surfaceThe force of gravity between the object and Pluto's surface is calculated as follows;
F = GMm/r²
F = (6.67 x 10⁻¹¹ x 1.2 x 10²² x 100) /(1.172 x 10)²
F = 5.827 x 10¹³ N
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Let A = 4i- 2j, B=-3i+ 6j, and F = 1i-4j. What is the magnitude of F ?
The magnitude is 4.1.
What is the magnitude of the vector?We must know that a vector is a quantity that has both magnitude and direction. The term magnitude refers to the amount of the vector while the direction shows the place where the vector is headed. It is common to write a vector in bold face or to show the direction of the vector by use of an arrow written above the symbol of the vector.
In this case, we have vector that is shown in the given directions and we have been asked to find the magnitude of the vector. We could find the magnitude of the vector from; √(1)^2 + (4)^2 = 4.1
Thus, the magnitude is 4.1.
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A 1250kg car is stopped at a traffic light. A 3550kg truck moving at 8.33 m/s hits the car from behind. If the bumpers lock, how fast will the two vehicles move?
The final speed of the cars after the collision is determined as 6.16 m/s.
Final speed of the cars after collisionThe final speed of the cars after the collision is calculated from the principle of conservation of linear momentum as shown bellow.
m1v1 + m2v2 = v(m1 + m2)
where;
v1 is the initial velocity of the 1250 kg carv2 is the initial velocity of the 3550 kg carSubstitute the given parameters and solve for "v".
1250(0) + 3550(8.33) = v(1250 + 3550)
29,571.5 = 4800v
v = 29571.5/4800
v = 6.16 m/s
Thus, the final speed of the cars after the collision is determined as 6.16 m/s.
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How fast did Israel Merkle run when he covered 26.2 miles in two hours and thirty minutes?
26.2 miles is equal to 42165 kilometers and 2 hours and 30 minutes is equal to 9000 seconds. Therefore, the speed is 4.685 m/s.
What is speed?
The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.
The pace at which an object's location changes in any direction is referred to as speed.
The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.
Therefore, the speed is equal to 4.685 m/s.
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A certain brand of light bulb converts 45% of the available electrical current into light. What is the efficiency of the bulb?
The efficiency of the bulb is the 45%, because it is the useful energy or output energy of the light bulb.
What is efficiency?The efficiency of a device is the amount of the energy input to the device that is converted to a useful energy.
So we say that efficiency of a device is how good a device is at converting energy input to useful energy output.
The efficiency of a device or machine is calculated using the following formula;
efficiency = 0utput energy/input energy x 100%
efficiency = useful energy / total energy x 100%
Thus, if a certain brand of light bulb converts 45% of the available electrical current into light. The efficiency of the bulb is the 45%, because it is the useful energy or output energy of the light bulb.
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How long must a current of 0.1A flow so as
to transfer a charge of 30 C?
300 s is the time taken.
Electric charge is a physical property that creates a force on matter within an electromagnetic field. A charge can have a positive or negative nature. A substance is considered neutral or uncharged if it has no net charge.
Current is the speed at which electrons pass through a point in a complete circuit. The simplest is current = flow. Ampere or Ampere is the international unit used to measure electrical current.
So here Q=I x t
t=Q/I
=30/0.1
=300/1
=300s
so from the above equation, and the given data that 0.1A is the current and the charge is 30C. the time taken is 300s.
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. Acceleration is the rate at which/what hap-
pens?
Show transcribed data A vacationer gets into his outboard motorboat and leaves a dock on a river bank for a day of fishing. Just as he turns upstream, he hears a splash but pays no attention and continues cruising at normal speed. Unfortunately, only 25 minutes later does he realize that his (fortunately watertight) lunchbox is missing. He then turns downstream, with the motor still set at cruising speed. Luckily, he sights his lunchbox floating down the river and retrieves it at a point 2.8 km downstream of the dock. 9 How long after turning around does he pick up his lunch? Give your answer in minutes.
It is after a time of 25 minutes that the vacationer picks up his lunch after turning around the dock.
Let the speed of the motorboat be v and the speed of the river be u.
Upstream - The term "upstream" refers to a boat that is moving against the direction of the stream. The boat's upstream speed in this situation is its net speed.
Downstream - A boat is said to be moving downstream if it is moving in the same direction as the stream. In this instance, the boat's downstream speed is its net speed.
Given in the question
Distance travelled downstream = d = 2.8 km
Time = t = 25 mins = 25 × 60 = 1500 seconds
Downstream Speed = v + u
Let the time after he picks the lunch be t' seconds
Distance traveled by boat in t' seconds
d = (v + u )t'
Distance traveled by lunch in t + t' seconds
x = u(t + t')
Upstream Speed = v - u
Distance traveled by boat upstream :
x' = (v-u)t
So accordingly,
x + x' = d
u(t + t') + (v-u)t = (v + u )t'
ut + ut' + vt -ut = vt' + ut'
vt = vt'
t = t'
t' = t = 1500 seconds = 25 minutes
So, the vacationer picks up the lunch 25 mins after turning around.
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A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s direction 5° north of east for an hour. What is the magnitude of the boat's resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat's resultant velocity? Round your answer to the nearest whole degree. • north of east
The boat’s resultant velocity is v = 31.0 m/s, and the direction of the boat is 23.2 degrees north of east.
A resultant velocity is calculated using the formula below.
Vm equals Sum Sqrt(Vxi2 + VYj2)
where Vm is the resulting magnitude of velocity.
All x-component velocities are denoted by the letters Vxi.
The y-component of all velocities is called Vyj.
Add all of the values for the x-components together, square that number to get the magnitude of the resultant velocity. Add this to the earlier value after doing the same operation for the y-components. Finally, to determine the magnitude, square the result.
Tan-1 (Vx/Vy) = Va
where Va is the resultant velocity's angle.
Vx is the size of the resultant velocity's x-component.
Vy is the size of the resultant velocity's y-component.
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