The negative sign indicates that there was a decrease in kinetic energy, which is consistent with the fact that the car came to a stop. Therefore, the change in kinetic energy of the car is 200,000 J.
What is the name of kinetic?Describe kinetic energy. A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.
The initial kinetic energy (KE1) of the car can be calculated using the formula:
KE1 = 0.5 x m x v^2
where m is the mass of the car and v is its initial velocity.
KE1 = 0.5 x 1000 kg x (20 m/s)^2
KE1 = 200,000 J
The final kinetic energy (KE2) of the car is zero since it comes to a stop.
The change in kinetic energy (ΔKE) is the difference between the initial and final kinetic energies:
ΔKE = KE2 - KE1
ΔKE = 0 - 200,000 J
ΔKE = -200,000 J
The negative sign indicates that there was a decrease in kinetic energy, which is consistent with the fact that the car came to a stop. Therefore, the change in kinetic energy of the car is 200,000 J.
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Go to the screen "Mars Mission Landing Sites," and and select Opportunity landing site (2004). Explore all five zoom levels offered, making sure to read the captions at the tops of the screens. Based on the information provided, why was the landing site,called Meridiani Planum, chosen for the Opportunity mission? a. The region was already known to have minerals likely to have formed in liquid water. b. The region was in the only part of Mars that had not yet been explored. c. The region is near the Martian equator, which makes landing easier. d. The region was already known to have very small rocks called "blueberries" that likely formed in liquid water. e. The region has very low elevation, and therefore might once have been in an ancient ocean.
Answer:
d. The region was already known to have very small rocks called "blueberries" that likely formed in liquid water.
Explanation:
The above is th reason why the landing site happens to be called the Meridiani Planum. This is because, the small rocks called blueberries gives the region a unique view which makes attractive in the Mars landing site.
What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.
When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.
The correct answer to the given question is option C.
Potential energy is the energy stored within an object because of its position or configuration.
In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.
As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.
Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.
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From the bob’s frame while it is in uniform circular motion what is the direction and magnitude of the inertial force it feels?.
Radially outward is both the direction and magnitude of the inertial force. as it is moving uniformly in a circle, from the bob's frame. Radially emanating from the source of the charge is an electric field that is positively charged.
Radially outward means This is so because an electric field is produced when a positive charge is forced by the field. The electric field pulls the positive charge with a force that is directed away from the charge's origin. It is called Radially outward.
In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition.
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a 1200 kg car travels at 20 m/s. what is the momentum
Answer:
24000
Explanation:
a ringing alarm clock is put under a glass jar. the air is slowly removed from the space around it. what will happen as the air is removed?
The level of the sound can be decreased by gradually draining the air from a plastic bottle. The sound about an alarm clock cannot be heard at all since sound cannot travel through a vacuum.
What will occur once the air is drained away?A ringing alarm clock will gradually grow quieter when air is gently drawn out of the area around it and placed beneath a glass jar. Because sound is indeed a mechanical wave that moves across a medium, this is the case.
We can hear the sound because the air molecules in the jar shake as sound waves pass through them. The amount of air particles available to vibrate and convey sound waves declines when air is eliminated, which lessens the sound's strength. There will be so little remaining air to vibrate due to the almost full removal of the air that the sound will be almost undetectable.
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Sphere A has an excess of 10 ^ 15 electrons and sphere B has an excess of 10 ^ 13 protons. They are separated by 2.0 m. What is the force between them?
A. -0.58 N
B. 0.58 N
C. 2.30 N
D. -2.30 N
A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.
One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.
To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.
Calculate the total surface area required:
Total surface area = Design flow rate / Design loading rate
Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)
Total surface area = 18.67 m²
Determine the number of filter boxes required:
Number of filter boxes = Total surface area / Maximum surface area per filter box
Number of filter boxes = 18.67 m² / 50 m²
Number of filter boxes = 0.37 (round up to the nearest whole number)
Number of filter boxes = 1 (since we cannot have a fraction of a filter box)
Therefore, one filter box will be required to meet the design loading rate.
To check the design loading with one filter box out of service, we need to recalculate the loading rate:
Calculate the new design loading rate:
New design loading rate = Design flow rate / (Number of filter boxes - 1)
New design loading rate = 1.2 m³/s / (1 - 1)
New design loading rate = Undefined
Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.
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Water moves through a turbine in a dam, causing it to turn. The force of the water is 300 N, and the radius of the wheel is 20 m. What is the torque around the center of the wheel?A. 60 N-mB. 600 N-mC. 6,000 N-mD. 60,000 N-m
The formula for torque is T = F x r, where T is torque, F is force, and r is radius. Therefore, the answer is C. 6,000 N-m.
The torque around the center of the wheel can be calculated using the formula:
Torque = Force x Radius
where Force is the force applied to the wheel, and Radius is the distance from the center of the wheel to the point where the force is applied.
In this case, the force applied to the wheel is 300 N, and the radius of the wheel is 20 m. Therefore, the torque around the center of the wheel can be calculated as:
Torque = 300 N × 20 m = 6,000 N-m
So, the correct answer is C. 6,000 N-m.
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Assume that the field current of the generator in Problem 4-2 is adjusted to achieve rated voltage (13.8 kV) at full load conditions in each of the questions below.
(a) What is the efficiency of the generator at rated load?
(b) What is the voltage regulation of the generator if it is loaded to rated kilovoltamperes with 0.9-PF-lagging loads?
(c) What is the voltage regulation of the generator if it is loaded to rated kilovoltamperes with 0.9-PF-leading loads?
(d) What is the voltage regulation of the generator if it is loaded to rated kilovoltamperes with unitypower-factor loads?
(e) Use MATLAB to plot the terminal voltage of the generator as a function of load for all three power factors.
(a) The efficiency of the generator at rated load can be calculated using the following formula:
Efficiency = Output power / Input power
At rated load, the output power of the generator is 15 MW (given in Problem 4-2) and the input power can be calculated using the formula:
Input power = Field current x Armature current x Generator voltage x Power factor
Assuming the power factor to be 0.9 lagging, we can calculate the input power as follows:
Input power = 1000 x 15000 x 13.8 x 0.9 = 182.7 MW
Therefore, the efficiency of the generator at rated load is:
Efficiency = 15 / 182.7 = 0.082 or 8.2%
(b) Voltage regulation can be calculated using the following formula:
Voltage regulation = (No-load voltage - Full-load voltage) / Full-load voltage x 100%
Assuming the generator is loaded to rated kilovoltamperes with 0.9-PF-lagging loads, the armature current can be calculated as follows:
Armature current = Kilovoltamperes / (sqrt(3) x Generator voltage x Power factor)
Armature current = 1000 / (sqrt(3) x 13.8 x 0.9) = 50.9 kA
From the open circuit characteristics, we can find the no-load voltage to be 14.3 kV (given in Problem 4-2). Therefore, the voltage regulation is:
Voltage regulation = (14.3 - 13.8) / 13.8 x 100% = 3.62%
(c) Assuming the generator is loaded to rated kilovoltamperes with 0.9-PF-leading loads, the armature current can be calculated using the same formula as in part (b):
Armature current = Kilovoltamperes / (sqrt(3) x Generator voltage x Power factor)
Armature current = 1000 / (sqrt(3) x 13.8 x 0.9) = 50.9 kA
Since the power factor is leading, the generator will have to supply reactive power. This can be done by reducing the field current. Assuming the field current is adjusted to maintain rated voltage, we can find the full-load voltage from the short circuit characteristics. From the short circuit characteristics, we can see that the full-load voltage is 13.4 kV (given in Problem 4-2). Therefore, the voltage regulation is:
Voltage regulation = (14.3 - 13.4) / 13.4 x 100% = 6.72%
(d) Assuming the generator is loaded to rated kilovoltamperes with unity power factor loads, the armature current can be calculated as follows:
Armature current = Kilovoltamperes / (sqrt(3) x Generator voltage)
Armature current = 1000 / (sqrt(3) x 13.8) = 54.2 kA
Since the power factor is unity, the generator will not have to supply or absorb any reactive power. Assuming the field current is adjusted to maintain rated voltage, we can find the full-load voltage from the short circuit characteristics. From the short circuit characteristics, we can see that the full-load voltage is 13.2 kV (given in Problem 4-2). Therefore, the voltage regulation is:
Voltage regulation = (14.3 - 13.2) / 13.2 x 100% = 8.33%
(e) To plot the terminal voltage of the generator as a function of load for all three power factors, we can use MATLAB. Assuming the generator parameters are the same as in Problem 4-2, we can write the following code:
```matlab
% Generator parameters
V = 13.8e3; % Generator voltage
P = 15e6; % Output power
f = 60; % Frequency
Xs = 1.2; % Synchronous reactance
Rs = 0.015; % Synchronous resistance
Xd = 1.6; % Direct-axis reactance
Xq = 1.2; % Quadrature-axis reactance
Rd = 0.02; % Direct-axis resistance
Rq = 0.02; % Quadrature-axis resistance
Tdo = 0.2; % Open circuit time constant
Tqo = 0.2; % Short circuit time constant
% Load parameters
PF_lag = 0.9; % Lagging power factor
PF_lead = 0.9; % Leading power factor
PF_unity = 1; % Unity power factor
KVA = linspace(0, 15000, 1000); % Load range in kVA
% Calculate terminal voltage for lagging power factor
for i = 1:length(KVA)
Ia = KVA(i) / (sqrt(3) * V * PF_lag);
E = V + (Rs + 1j*Xs)*Ia + (Xd - Xs)*Ia^2;
Vt_lag(i) = abs(E);
end
% Calculate terminal voltage for leading power factor
for i = 1:length(KVA)
Ia = KVA(i) / (sqrt(3) * V * PF_lead);
E = V + (Rs + 1j*Xs)*Ia - (Xq - Xs)*Ia^2;
Vt_lead(i) = abs(E);
end
% Calculate terminal voltage for unity power factor
for i = 1:length(KVA)
Ia = KVA(i) / (sqrt(3) * V);
E = V + (Rs + 1j*Xs)*Ia + 1j*(Xd - Xq)*Ia;
Vt_unity(i) = abs(E);
end
% Plot results
plot(KVA, Vt_lag/1000, 'r', 'LineWidth', 2)
hold on
plot(KVA, Vt_lead/1000, 'b', 'LineWidth', 2)
plot(KVA, Vt_unity/1000, 'g', 'LineWidth', 2)
xlabel('Load (kVA)')
ylabel('Terminal Voltage (kV)')
legend('0.9 PF Lagging', '0.9 PF Leading', 'Unity PF')
grid on
```
This code will plot the terminal voltage of the generator as a function of load for lagging, leading, and unity power factors. The plot will show that the voltage regulation increases as the power factor goes from unity to leading to lagging.
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HELP ITS ABOUT WEIGHT AND SCIENCE, ITS SUPER EASY THOUGH
Weight is a measure of how gravity pulls on an object.
Explanation:
Mass is the amount of matter in an object. So mass is constant even if an object is placed on say: Moon. But the Weight is different in different places because gravity changes.
I hope you understood. pls give brainliest if possible. thank you
three objects a b c are placed 0.50 m apart along a straight line. If a and b have equal masses of 10.0kg and c has a mass of 15.0kg, what is the net gravitational force on b due to a and c?
The net gravitational force on b due to a and c is 5.338 x 10^-8 N.
What is the net gravitational force?The net gravitational force on b due to a and c can be calculated using the formula:
F = G (m1m2) / r^2
where;
F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between them.First, let's calculate the gravitational force between a and b:
F1 = G (m1m2) / r^2
= 6.67 x 10^-11 * (10.0 x 10.0) / (0.50/2)^2
= 1.067 x 10^-7 N
Next, let's calculate the gravitational force between b and c:
F2 = G(m2m3) / r^2
= 6.67 x 10^-11 (10.0 x 15.0) / (0.50/2)^2
= 1.67 x 10^-7 N
The net gravitational force on b due to a and c is the vector sum of these two forces:
Fnet = F2 - F1
= 1.67 x 10^-7 N - 1.067 x 10^-7 N
= 5.338 x 10^-8 N
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What does it mean when the
compressions of a longitudinal
wave are far apart?
A. the amplitude is higher
B. the wavelength is longer
C. the wavelength is shorter
D. the amplitude is shorter
Answer:
it will option B,hope it helps
C. The wavelength is longer.
What is longitudinal wave?
A sound wave is called a longitudinal wave because compressions and rarefactions in the air produce it.
The air particles vibrate parallel to the direction of propagation.
A longitudinal wave consists of a repeating pattern of compressions and rarefactions.
Thus, the wavelength is commonly measured as the distance from one compression to the next adjacent compression or the distance from one rarefaction to the next adjacent rarefaction.
Longitudinal waves move through a medium from the point of the disturbance in the form of compressions (where particles of the medium are bunched together) followed by rarefactions (where particles of the medium are farther apart).
In longitudinal waves, the distance from one compression to the next is the wavelength.
Therefore,
In longitudinal wave the wavelength is longer.
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as a sample of matter is heated, it’s particles…
Answer:
spread and go up
Explanation:
like water when hot gas when cold ice when warm liquid
A duck floats backwards a distance of 3 meters in 15 seconds. What is the duck's velocity?
calculate the change of free energy expressed in kj.mol-1) for the hydrolysis of atp in both tissues. note: the reactions in tissues occur at 37°c.
The change in free energy for the hydrolysis of ATP can be calculated using the equation ΔG = ΔH - TΔS, where ΔG is the change in free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
To calculate ΔG for the hydrolysis of ATP in tissues at 37°C, the values of ΔH and ΔS must be known. At 37°C, the temperature must be converted to Kelvin (T = 37 + 273 = 310 K).
The specific values of ΔH and ΔS are required to determine the ΔG for the hydrolysis of ATP in tissues and can be obtained from thermodynamic databases or literature. Without these values, the ΔG cannot be calculated.
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A 6.6 Kg rock breaks loose from the edge of a cliff that is 44.5 m above the surface of a lake.
A. How much GPE does the rock have initially?
B. How much GPE and KE will it have when it is halfway down?
C. How fast will it be going when it is halfway down?
(A)Gravitational potential energy GPE does the rock have initially 2674.92 Joules,(B) As the rock is halfway down, it has lost its entire GPE and converted it into KE. So, the KE will be equal to the GPE at this point i.e.1337.96J (C).The rock will be traveling at a speed of approximately 20.15 m/s when it is halfway down.
(A) The gravitational potential energy (GPE) of the rock initially can be calculated using the formula:
GPE = mgh
where:
m = mass of the rock = 6.6 kg
g = acceleration due to gravity = 9.8 m/s²
h = height of the cliff = 44.5 m
Plugging in the values:
GPE = 6.6 kg × 9.8 m/s² × 44.5 m = 2,674.92 J (Joules)
So, the rock initially has 2,674.92 Joules of gravitational potential energy.
(B) When the rock is halfway down, its height would be half of the original height, i.e., h/2 = 44.5 m / 2 = 22.25 m.
The gravitational potential energy (GPE) of the rock when it is halfway down can be calculated using the formula mentioned above:
GPE = mgh
where:
m = mass of the rock = 6.6 kg
g = acceleration due to gravity = 9.8 m/s²
h = height when halfway down = 22.25 m
Plugging in the values:
GPE = 6.6 kg × 9.8 m/s² × 22.25 m = 1,337.96 J (Joules)
The kinetic energy (KE) of the rock when it is halfway down can be calculated using the formula:
KE = (1/2)mv²
where:
m = mass of the rock = 6.6 kg
v = velocity of the rock
As the rock is halfway down, it is lost, its entire GPE and converted it into KE. So, the KE is equal to the GPE at this point.
KE = 1,337.96 J (Joules)
(C) To calculate the velocity (v) of the rock when it is halfway down, we can equate the KE to the formula for kinetic energy:
KE = (1/2)mv²
Plugging in the values:
1,337.96 J = (1/2) ×6.6 kg × v²
v² = (2 × 1,337.96 J) / 6.6 kg
v² = 406.32 m/s
v = √(406.32 m/s) = 20.15 m/s
So, the rock is traveling at a speed of approximately 20.15 m/s when it is halfway down.
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. in a tug-of-war, 13 children, with an average mass of 30 kg each, pull westward on a rope with an average force of 150 n per child. five parents, with an average mass of 60 kg each, pull eastward on the other end of the rope with an average force of 475 n per adult. assuming that the whole mass accelerates together as a single entity, what is the acceleration of the system?
When the whole mass accelerates together as a single entity, the acceleration of the system is 0.62 m/s²
To determine the acceleration of the system, the mass on one end of the rope must be subtracted from the mass on the other end of the rope.
The mass of each child is 30 kg. The number of children is 13.
Therefore, 30 x 13 = 390 kg is the total mass of the children.
The mass of each parent is 60 kg. There are five parents.
So the total mass of the parents is 5 x 60 = 300 kg.
Total mass is the sum of the masses of the parents and children, which is 300 + 390 = 690 kg.
The force applied by the children is 150 N/child, and there are 13 children
So the total force applied by the children is 150 x 13 = 1950 N.
The force applied by the parents is 475 N/adult, and there are five parents, so the total force applied by the parents is 475 x 5 = 2375 N.
The net force is the difference between the forces applied by the children and the forces applied by the parents, which is 425 N to the east (2375 N - 1950 N).
Use the formula F = ma, where F is force, m is mass, and a is acceleration, to determine the acceleration of the system. The formula should be rearranged to solve for acceleration. a = F/m
Substitute the values into the formula:
a = 425 N / 690 kg
acceleration:a = 0.62 m/s²
Therefore, the acceleration of the system is 0.62 m/s².
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An object with a mass of 2.0 kg accelerates 2.0 m/s 2when an unknown force is applied to it. What is the amount of force?
Answer:
4 N
Explanation:
mass = 2 kg
acceleration = 2 m/s^2
Force = mass * acceleration
= 2 *2
= 4 N
A bowling ball with a mass of 7.0 kg, generates 56.0 kgᐧm/s units of momentum. What
is the velocity of the bowling ball?
Answer:
8 m/s
Explanation:
\(p = mv \\ 56 = (7.0)(v) \\ v = 8.0 \: m {s}^{ - 1} \)
How did the river cause the canyon to form?
Answer options with 4 options
A.
The motion of water compacted soil until it became sedimentary rock.
B.
The motion of water wore away and transported rock away from the area.
C.
The motion of water prevented rock layers from forming beneath the water.
D.
The motion of water prevented plants and animals from forming the land in the river bed.
Answer:
A
Explanation:
because the water carRies but also compacts
50 POINTS!
Write a paragraph that answers the questions below:
If there is a situation that would require a person to use self defense, what offensive strategies would you recommend they use?
What defensive strategies would you recommend they use?
Based on the videos, which move(s) look most effective for offense if there is a situation that would need self defense?
Based on the videos, which move(s) look most effective for defense if there is a situation that would need self defense?
If a person is forced to utilize self-defense, the offensive techniques that should be recommended are as follows:
Take the initiative.I would advise them to employ the following defense strategies:
Keeping your head safeKeeping your elbow between you and the evil person.Based on the films, the move(s) that appear to be the most successful for the offense in a circumstance requiring self-defense are to target the problem rather than the person.
What is an offensive strategy?An aggressive competitive strategy is a form of company strategy that involves actively pursuing industry changes.
Companies that go on the offensive typically make acquisitions and invest extensively in R&D and technology in order to remain ahead of the competition.
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is an atom with one valence electron more reactive than an atom with two electrone?
Answer:
An atom with a closed shell of valence electrons (corresponding to an electron configuration s2p6) tends to be chemically inert. An atom with one or two valence electrons more than a closed shell is highly reactive, because the extra valence electrons are easily removed to form a positive ion.Explanation:
How Calculate the frequency of ultraviolet
light
frequency = velocity divided by wavelength
Ultraviolet (UV) radiation lies between wavelengths of about 400 nanometres and 10 nanometres, corresponding to frequencies of 7.5 × 1014 Hz to 3 × 1016 Hz.
4. A 2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a
level frictionless surface. Calculate the power output.
The power output of 2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a level frictionless surface is 24.09 watts.
What is power?In science, power is the time required to do work or provide energy, expressed as work done W or energy transferred divided by the time interval t - or W/t. A fixed amount of work can be done for a long time with a low-powered engine, or for a short time with a high-powered engine. The unit of power is work (or energy) per unit of time. Such as foot pounds per minute, joules (or watts) per second, and ergs per second. Force can also be expressed as the product of the force required to move an object and the object's velocity in the direction of the force. If the magnitude of the force F is measured in pounds and the velocity ν is measured in feet per minute, then the power is equal to Fν foot pounds per minute.
Given,
Mass of object (m) = 2.00 kg
Distance covered (s) = 1.5 m
Velocity of object (v) = 3.00 m/s
For calculation of acceleration:
v² = u² + 2as
3² = 0 + 2 × a × 1.5
9 = 3a
a = 2 m/s²
For calculation of time:
s = ut + ¹/₂at²
1.5 = 0 × t + ¹/₂ × 2 × t²
1.5 = t²
t = 1.22 sec.
For calculation of gravitational force:
F = mg
F = 2 × 9.8
F = 19.6 N
For calculation of work done:
W = F × s
W = 19.6 × 1.5
W = 29.4 J
For calculation of power output:
P = W/t
P = 29.4/1.22
P = 24.09 watts
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ANSWER ASAPPP
What type of mountain would form from vertical movements along fault lines?
A) volcano
B) dome
C) fault-block
D) folded
C) fault-block mountain
The vector 2A has
A. twice the magnitude and opposite
direction as vector A.
B. same magnitude and twice the direction
of vector A.
C. twice the magnitude and twice the
direction of vector A.
D. twice the magnitude and the same
direction as vector A.
Answer:
show vector 2A and maybe i can help
Explanation:
Application 2 Consider an object (A) which moves in a uniform rectilinear motion in the negative direction of the x-axis. The speed of (A) is 15 m/s, and its initial abscissa is XoA 30 m. 1. a. Determine the time equation of the motion of (A). b. Draw the (V-1) graph of (A). 2. Another particle (B), whose time equation is XB = 101-70 (S.1), is moving on the same axis. We start timing for (A) and (B) simultaneously. a. Determine the instant at which (A) and (B) meet as well as the position at where they meet. b. Determine the distance separating (A) and (B) at t = 8 s. B- Acceleration rectilinear motion : ARM
1. For an object (A) moving uniformly in the negative direction of the x-axis with a speed of 15 m/s and initial abscissa of 30 m, the time equation of its motion is X = 30 - 15*t, and its (V-1) graph is a straight line with a slope of -15 and a y-intercept of 30, and 2. When another particle (B) with a time equation of XB = 101-70 (S.1) moves on the same axis, (A) and (B) meet at time t = 2.13 s and position X = -32.7 m. The distance separating (A) and (B) at t = 8 s is 369 m.
1.a. The time equation of the motion of (A) is given by:
X = XoA + Vt
where X is the position of (A) at time t, XoA is the initial position of (A), V is the velocity of (A) and t is the time elapsed since the start of the motion.
Plugging in the given values, we get:
X = 30 - 15t
b. The (V-1) graph of (A) is a straight line with a slope of -15 (since the velocity is constant and negative) and a y-intercept of 30 (since the initial position is 30). The graph looks like this:( below)
2a. To determine the instant at which (A) and (B) meet, we need to find the time t at which their positions are equal. Equating the time equations of (A) and (B), we get:
30 - 15t = 101 - 70t
Solving for t, we get:
t = 2.13 s
To find the position at which they meet, we can plug this value of t into either of the time equations and get:
X = 101 - 70*2.13 = -32.7 m
So (A) and (B) meet at time t = 2.13 s and position X = -32.7 m.
b. To determine the distance separating (A) and (B) at t = 8 s, we need to find their positions at that time. Using the time equation of (A), we get:
Xa = 30 - 158 = -90 m
Using the time equation of (B), we get:
Xb = 101 - 708 = -459 m
The distance separating (A) and (B) at t = 8 s is:
|Xb - Xa| = |-459 - (-90)| = 369 m.
Hence, Two particles moving on the same axis, where one is uniformly moving with an initial abscissa of 30 m and a speed of 15 m/s, and the other is moving with a time equation of XB = 101-70 (S.1), meet at time t = 2.13 s and position X = -32.7 m, while the distance separating them at t = 8 s is 369 m.
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A 0.4000 kg sample of methanol at 16.0ºC is mixed with 0.4000 kg of water at 85.0ºC. Assuming no heat loss to the surroundings, what is the final temperature of the mixture? The specific heat of methanol is 2450 J/kg•ºC, the specific heat capacity of liquid water is 4180 J/kg⋅°C
Answer:
T_finalmix = 59.5 [°C].
Explanation:
In order to solve this problem, a thermal balance must be performed, where the heat is transferred from water to methanol, at the end the temperature of the water and methanol must be equal once the thermal balance is achieved.
\(Q_{water}=Q_{methanol}\)
where:
\(Q_{water}=m_{water}*Cp_{water}*(T_{waterinitial}-T_{final})\)
mwater = mass of the water = 0.4 [kg]
Cp_water = specific heat of the water = 4180 [J/kg*°C]
T_waterinitial = initial temperature of the water = 85 [°C]
T_finalmix = final temperature of the mix [°C]
\(Q_{methanol}=m_{methanol}*Cp_{methanol}*(T_{final}-T_{initialmethanol})\)
Now replacing:
\(0.4*4180*(85-T_{final})=0.4*2450*(T_{final}-16)\\142120-1672*T_{final}=980*T_{final}-15680\\157800=2652*T_{final}\\T_{final}=59.5[C]\)
A 10 g thread of wool was produced by Julitha Barber of Australia in 1989. Its length was 553 m. Suppose Barber is standing a distance equal to the thread's length from a conver mirror. If the mirror's radius of curvature is 1.20 × 102 'm, what will the magnification of the image be?
The magnification of the image of Julitha Barber produced by the converging mirror is 0.0979
To find the magnification of the image, we need to use the formula:
magnification = -v/u,
where v is the distance of the image from the mirror, and u is the distance of the object from the mirror. Since the object is Julitha Barber standing at a distance of 553 m, we can take u as -553 m (negative because the object is on the same side as the mirror).
Now, we need to find the distance of the image from the mirror (v). For this, we can use the mirror formula: 1/v + 1/u = 1/f, where f is the focal length of the mirror, and is equal to half the radius of curvature (f = R/2). So, in this case, f = 1.20 × 102 m/2 = 60 m. Substituting the values in the formula, we get:
1/v + 1/-553 = 1/60
Solving for v, we get v = -54.12 m. (Note that the negative sign indicates that the image is virtual and upright.)
Now, we can use the magnification formula to find the magnification of the image:
magnification = -v/u = -(-55.6)/553 = 0.0979 (rounded to one decimal place)
Therefore, the magnification of the image of Julitha Barber produced by the converging mirror is 0.0.0979. This means that the image is 10 times smaller than the actual object and is virtual and upright.
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How do you find Net Force with Two Forces?
To find the net force with two forces, you need to add the two forces together if they are in the same direction, or subtract them if they are in opposite directions.
How to find the Net Force?Identify the two forces that are acting on an object. For example, let's say you have a force of 5 N to the right and a force of 3 N to the left.Determine the direction of each force. In our example, one force is to the right and the other is to the left.If the forces are in the same direction, add them together to find the net force. If they are in opposite directions, subtract the smaller force from the larger force to find the net force. In our example, the forces are in opposite directions, so we subtract 3 N from 5 N to get a net force of 2 N to the right.Write your answer, including the direction of the net force. In our example, the net force is 2 N to the right.So, the net force with two forces is found by adding the forces together if they are in the same direction, or subtracting them if they are in opposite directions.
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