Vector a has a y-component with a length of 1. Option C is correct.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
If no vector in a collection of vectors can be written as a linear combination of the ones mentioned before it, the set is said to be linearly independent.
A y-component in vector a has a length of 1.
Hence, the right answer is C.
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You use an inclined plane to move furniture into a truck.
You perform 224 kJ of work, but only do 91 kJ of useful
work. What is the efficiency of the inclined plane?
A. 12.8%
B. 40.6%
C. 68.2%
D. 246.1%
Answer:B. 40.6%
Explanation:
A traditional light bulb gives out heat and light. It makes 5, J,5J of light for every 60, J,60J of electricity it uses. How much heat does it make?
Answer:
How do you calculate how much useful energy is transferred?
Energy transferred electrically is calculated using the equation ΔE = IVt , where I is the current, V is the potential difference and t is time.
Explanation:
An object moves along a straight line with an initial velocity of 8 m/s with constant acceleration of 0.4m/s^2 for 40 s.
a. what is the velocity at the end of 40 s?
b. What is the distance traveled in this time?
Answer:
24 m/s640 mExplanation:
a) Velocity increased at the rate of 0.40 m/s^2 for 40 s, so increased by ...
(0.40 m/s^2)(40 s) = 16 m/s
The final velocity is ...
8 m/s + 16 m/s = 24 m/s
__
b) The average velocity over the 40 s period is (8 m/s +24 m/s)/2 = 16 m/s, so the distance traveled is ...
(16 m/s)(40 s) = 640 m
what is the correct answer?
The effective resistance of the Parallel circuit is 3 ohms.
option B.
What is the effective resistance of the circuit?
In a parallel circuit, the sum of the currents through each path is equal to the total current that flows from the source.
The total resistance or effective resistance in a Parallel circuit with the following formula:
1/Rt = 1/R1 + 1/R2
where;
Rt is the effective resistanceR1 is the resistance of the first resistorR2 is the resistance of the second resistor1/Rt = 1/4 + 1/12
1/Rt = (3 + 1 ) / 12
Rt = ( 12 ) / ( 4 )
Rt = 3 ohms
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In a sonometer by what change in linear density of wire its velocity becomes double? Keeping tension of wire constant
Answer:
Explanation:
In a sonometer , expression for speed of wave produced can be given as follows .
v = \(\sqrt{\frac{T}{m} }\)
v is velocity , T is tension in wire , m is density per unit length .
Here v is inversely proportional to square root of m . So if m becomes m / 4
velocity changes as follows .
velocity = \(\sqrt{\frac{T}{\frac{m}{4} } }\)
= \(\sqrt{\frac{4T}{m} }\)
= 2v
velocity becomes two times . Hence to make velocity two times , mass per unit length has to be changed to one fourth value , keeping tension constant .
A kangaroo has a maximum gravitational potential energy during one jump of 770 J
Helppppp
When the kangaroo lands on the ground 14% of the maximum gravitational potential energy is transferred to elastic potential energy in one tendon.The tendon has an unstretched length of 35.0 cm
When the kangaroo lands on the ground the tendon stretches to a length of 42.0 cm
Calculate the spring constant of the tendon.
[5 marks]
Show ur working out
Answer:
k = 44000 N/m
Explanation:
Given the following data;
Maximum gravitational potential energy = 770 J
Elastic potential energy = 14% of 770 J = 14/100 * 770 = 107.8 J
Extension, x = 42 - 35 = 7cm to meters = 7/100 = 0.07 m
To find the spring constant, k;
The elastic potential energy of an object is given by the formula;
\( E.P.E = \frac {1}{2}kx^{2}\)
Substituting into the equation, we have;
\( 107.8 = \frac {1}{2}*k*0.07^{2}\)
\( 107.8 = \frac {1}{2}*k*0.0049 \)
Cross-multiplying, we have;
\( 215.6 = k*0.0049 \)
\( k = \frac {215.6}{0.0049} \)
k = 44000 N/m
The spring constant of the tendon is 44000 N/m.
The following can be depicted from the question:
Elastic potential energy will be:
= 14% × 770J = 107.80 Joule.
The spring constant will be calculated thus:
107.8 = 1/2 × k × 0.07²
107.8 = 0.5 × k × 0.0049
k = 215.6 / 0.0049
k = 44000 N/m.
Therefore, the spring constant of the tendon is 44000 N/m.
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Light is produced by which fundamental force?
strong nuclear
electromagnetic
weak nuclear
gravitational
Answer:
ans: Electromagnetic
Answer:
B on edg.
Explanation:
A circuit has two batteries and a resistor as shown. In the figure, the terminal voltage of the 12 V battery is closest to _____.
a. 15.6 V
b. 13.2 V
c. 8.4 V
d. 10.8 V
e. 9.6 V
Answer:
a 15.6voltz
i Hope this helps
g consider a coulomb damped system with a natural frequency of 100 rpm. if the decay per cycle is 0.04, calculate the kinetic friction coefficient. which of the following is the correct answer for the kinetic friction coefficient. please submit your hand calculations into the dropbox.
To calculate the kinetic friction coefficient in a coulomb damped system, we need to make use of the given information: the natural frequency and the decay per cycle.
The natural frequency, ωn, is typically given in radians per second. However, in this case, it is given in rotations per minute (rpm). To convert it to radians per second, we use the following conversion factor:
1 rpm = (2π/60) rad/s
Thus, the natural frequency in radians per second (ωn) can be calculated as:
ωn = (100 rpm) * (2π/60) rad/s
Next, we need to calculate the damping coefficient, c, which represents the decay per cycle. In a coulomb damped system, the damping coefficient can be related to the decay per cycle (δ) as follows:
δ = c / (2 * ωn)
We are given that the decay per cycle (δ) is 0.04. Rearranging the equation, we can solve for the damping coefficient (c):
c = 2 * ωn * δ
Substituting the values we calculated for ωn and δ:
c = 2 * (100 rpm) * (2π/60) rad/s * 0.04
Now that we have the damping coefficient (c), we can determine the kinetic friction coefficient (μk). In a coulomb damped system, the kinetic friction coefficient is related to the damping coefficient as follows:
μk = c / (2 * m * ωn)
where m is the mass of the system.
In summary, the main answer is that without knowing the mass of the system, we cannot calculate the kinetic friction coefficient. The explanation above outlines the steps involved in calculating the damping coefficient, but without the mass, it is not possible to determine the kinetic friction coefficient accurately.
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While playing a video game on your laptop, the laptop gets very hot. Which Thermodynamics Law does this exemplify?
Answer
The dedicated graphics card is used when performing hardware-intensive tasks so as to ensure efficiency and balanced performance. However, it uses more power and thus produces more heat. When the cooling system is not sufficient or the room is not well ventilated, your PC begins to overheat while playing games. Explanation: How does the second law of thermodynamics relate to the direction of heat flow? Heat of itself never flows from a cold object to a hot object. ... The second law expresses the maximum efficiency of a heat engine in terms of hot and cold temperatures. one of these answers i am not sure
Explain in detail how clouds form.
Answer:
Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.
In which area of a street should cyclists ride?
Answer:
the same side as cars are traveling
:)
a 0.30-kg mass is suspended on a spring. in equilibrium the mass stretches the spring 2.0 cm downward. the mass is then pulled an additional distance of 1.0 cm down and released from rest. calculate the total energy of the system.
The general equation of simple harmonic motion is
y = a cos (? t )or y = a sin (? t )
but here y = a cos (? t )...because at t=0 amplitude is maximum
Here amplitude 'a '= 0.01 m
m = 0.3 kg
x = 0.02 m
Force constant k is given by,
k = mg / x = 0.3 x 9.8/ 0.02 = 147 N/m
The time period of oscillation is given by ,
T = 2 ? ?( m / k )
? = 2 ? / T = ? ( 147 / 0.3 )
? = 22.1
then y = (0.01m) cos (22.1 t )
In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.
A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs.
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The density of aluminum is 2.7 g/cm3. what is the mass of a piece of aluminum foil which is 10.0 cm by 5.0 cm by 0.0018 cm thick?
Answer:
.243 g
Explanation:
cm * cm * cm = cm^3
put in the numbers 10 * 5 * .0018 = .09 cm^3
.09 cm^3 * 2.7 g/cm^3 = .243 g
The mass of the piece of aluminum foil is 0.243 g.
What is meant by density ?Density of a substance is defined as the mass per unit volume of the substance.
Here,
Density of aluminum, ρ = 2.7 g/cm³
Volume of the aluminum foil, V = 10 x 5 x 0.0018
V = 0.09 cm³
The equation for density of a substance is given by,
ρ = m/V
Therefore mass of the aluminum foil,
m = ρV
m = 2.7 x 0.09
m = 0.243 g
Hence,
The mass of the piece of aluminum foil is 0.243 g.
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power is transmitted at high voltages because the corresponding current in the wires is
Power is transmitted at high voltages because the corresponding current in the wires is lower.
According to the equation for power (P), which is given by P = VI, where V is the voltage and I is the current, power is directly proportional to both voltage and current. By increasing the voltage, the power can be maintained at a desired level while reducing the current.
When power is transmitted at high voltages, the current can be significantly reduced compared to transmitting the same amount of power at lower voltages. This has several advantages:
Reduced resistive losses: Lower current results in lower resistive losses in the transmission wires, as power loss in a wire is proportional to the square of the current (P_loss = I^2R). By reducing the current, the power loss due to wire resistance is minimized, leading to more efficient power transmission.
Reduced heating effects: Lower current reduces the heat generated in the transmission lines. This helps in preventing overheating and allows for longer distance transmission without excessive energy losses.
Thinner and more cost-effective wires: Lower current allows for the use of thinner wires, which are less expensive and easier to install. This helps reduce the overall cost and complexity of the transmission infrastructure.
Therefore, high voltage transmission systems are preferred to minimize losses, increase efficiency, and optimize the power transmission process.
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When in use, a lamp is designed to draw
a current of 0.6 A from the car's 12 V battery. The resistance of
this lamp must be approximately...
Answer:
R=∆V/I=12/0.6=20ohm....
Sally has a mass of 50 kg and she is floating in space. She has 1000 balls each with a mass of 1 kg. If she starts from rest and starts continuously throwing each ball backwards at a relative speed of 60 m/s, then what would be her final speed after throwing the 1000th ball
Answer:
saxsccd
Explanation:
A lithium ion containing three protons and four neutrons has a mass of 1.16×10-26 kg. The ion is released from rest and accelerates as it moves through a potential difference
of 152 V.
What is the speed of the ion after travelling through the 152 V potential difference?
The velocity of the ion released from rest and accelerated through a potential difference of 152V is 6.34 × 10^5m/s.
The electric potential difference is a scalar quantity that measures the energy required per unit of electric charge to transfer the charge from one point to another. The electric potential difference between two points in an electric circuit determines the direction and magnitude of the electric current that flows between those two points. A lithium-ion containing three protons and four neutrons has a mass of 1.16 × 10-26 kg. The ion is released from rest and accelerates as it moves through a potential difference of 152 V.
The change in electric potential energy of an object is equal to the product of the charge and the potential difference across two points. The formula to calculate the velocity of the ion released from rest and accelerated through a potential difference of 152V is:
v = √(2qV/m) where q is the charge of the ion, V is the potential difference, and m is the mass of the ion.
Substituting the values in the formula, we get:
v = √(2 × 1.6 × 10-19 C × 152 V/1.16 × 10-26 kg)v = 6.34 × 10^5m/s
Therefore, the velocity of the ion released from rest and accelerated through a potential difference of 152V is 6.34 × 10^5m/s.
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25 POINTS will mark brainliest if correct
The radius of Neptune is 2.48 x 107m. The radial acceleration of an object at the equatorial surface of
The radius of Neptune is 2.48*10^7m. The radical acceleration of an object at the equatorial surface of Neptune is 0.292 m/s2. What is Neptune's period of rotation in seconds?
A.18,000 s
B.1200 s
C.58,000 s
D.9200 s
Answer: The answer is C. 58,000
Explanation:
Calculate the weight of a book if it has a mass of 0. 6kg
Answer:
a) given that mass=0.6kg,distance of stretching from equilibrium position x=0.9m from new ton's second law,F=ma where a is acceleration of the body.Therefore,force on the spring -mass syste
Explanation:
hope it helps
The driver of a car moving with a uniform speed of 40m/s observes a truck approaching
in the opposite direction with a speed of 20m/s.Calculate the speed of the car relative to that of the truck.
Answer:
60m/s
Explanation:
Whenever two objects are moving in opposite direction the relative speed is obtained by adding the speeds of the two objects.
Here the two vehicles are moving with speed 20m/s and 40m/s .
So the relative speed of the car relative to that of the truck will be,
(40 + 20 ) m/s
60m/s
hope this helps!
even with infinitely powerful telescopes, we can look back in time only until:
Even with infinitely powerful telescopes, we can look back in time only until the Cosmic Microwave Background (CMB), around 380,000 years after the Big Bang.
The Cosmic Microwave Background is the earliest observable stage of the universe's history. Before the CMB, the universe was in a hot, dense state known as the "opaque plasma" where photons were constantly scattered by charged particles, making it impossible to see through.
Approximately 380,000 years after the Big Bang, the universe cooled down enough for atoms to form, allowing photons to travel freely. This event is called "recombination," and the released photons created the CMB. Even with infinitely powerful telescopes, we cannot observe anything prior to the CMB because light did not travel freely in the opaque plasma.
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When you squeeze an air-filled party balloon you increase its:
(a) volume.
(b) mass.
(c) weight.
(d) density.
When you squeeze an air-filled party balloon, you decrease its volume.
When a balloon is filled with air, it contains a certain volume of air. Squeezing the balloon applies external pressure on the air inside. According to Boyle's Law, which states that at a constant temperature, the pressure and volume of a gas are inversely proportional, increasing the pressure on the gas will result in a decrease in volume.
As you squeeze the balloon, the air molecules inside become more compressed, and the volume of the balloon decreases. However, the mass and weight of the balloon remain unchanged during this process. Density, which is the mass per unit volume, may increase slightly due to the compression, but it is not the primary effect observed when squeezing the balloon.
Therefore, the correct answer is that squeezing an air-filled party balloon increases its pressure and decreases its volume.
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a river has a constant current of 3 km/h. at what angle to a boat dock should a motorboat capable of maintaining a constant speed of 20 km/h be headed in order to reach a point directly opposite the dock? if the river is 1 2 kilometer wide, how long will it take to cross?
Time taken to cross the river at a speed of 20km/hr = 1.54 minutes
To reach the point directly opposite the dock, the motorboat needs to counteract the river's current. Let's call the angle between the motorboat's direction and the perpendicular to the riverbank θ. The motorboat has a constant speed of 20 km/h.
We can break this speed into two components: one perpendicular to the riverbank (Vx) and one parallel to the riverbank (Vy).
The component parallel to the riverbank (Vy) must be equal and opposite to the current in order to cancel it out. Using trigonometry, we can find the angle θ:
Vy = 20 * sin(θ) = 3 km/h
sin(θ) = 3 / 20
θ = arcsin(3 / 20)
θ ≈ 8.53°
The motorboat should be headed at an angle of approximately 8.53° to the boat dock to reach the point directly opposite the dock.
Now, let's find the time it takes to cross the river. We will use the component of the motorboat's speed that is perpendicular to the riverbank (Vx).
Vx = 20 * cos(θ)
Vx ≈ 19.42 km/h
The river is 0.5 km wide, so we can use the formula time = distance / speed to find the time it takes to cross:
time = 0.5 km / 19.42 km/h ≈ 0.0257 h
To convert this time to minutes, multiply by 60:
0.0257 h * 60 ≈ 1.54 minutes
It will take approximately 1.54 minutes for the motorboat to cross the river.
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Explain the conditions through which friction can be increased.
Answer:
Friction can be increased the longer two objects are rubbed together, since the longer they are rubbed is the more heat produced.
Explanation:
Answer:
walking, car moving
Explanation:
basically anything with two surfaces pressing together ig
you wake up in a spaceship feeling being pushed down to the floor. what could be the possible cause?
There could be a few possible causes for feeling pushed down to the floor while waking up in a spaceship. One possibility is: that the spaceship is experiencing a sudden acceleration or change in velocity, causing the sensation of increased gravity or g-forces.
Another possibility is that the artificial gravity system on the spaceship is malfunctioning, resulting in an increase in the force of gravity felt by the occupants.
Alternatively, the sensation could be a result of waking up in a low-gravity environment after being used to Earth's higher gravity, which can cause a feeling of heaviness or difficulty moving at first.
It is probable that the spaceship is encountering a sudden acceleration or velocity change, resulting in an increased sensation of gravity or g-forces. The artificial gravity system on the spaceship might also be malfunctioning, resulting in an increase in the gravitational force felt by the occupants.
Lastly, waking up in a low-gravity environment after being used to Earth's higher gravity can cause a sensation of heaviness or difficulty moving at first.
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The velocity as a function of time of a moving particle is given by v = α+ βt2 , where α and β are constants and t is time in s. What is the acceleration of the particle at 3 s?
The acceleration of the particle at 3s is [tex]a = 6 \beta \)
\(v = \alpha + \beta {t}^{2} \)
How to calculate acceleration\(a = \frac{dv}{dt} \\ v = \alpha + \beta {t}^{2} \\ \frac{dv}{dt} = 0 + 2 \beta t \\ \)
if Time is given as 3s
therefore, Acceleration is
\(a = 2 \beta t \\ a = 2 \beta 3 \\ a = 2 \times \beta \times 3 \\ a = 6 \beta \)
Acceleration is
\(a = 6 \beta \)
What is acceleration and velocity?This is the change in velocity with respect to time.
Velocity is a vector quantity that denotes the rate of change of position with respect to time, or a speed with the directional component.
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Energy released by the sun results from the process where atomic nuclei
a) none of these
b) combine
c) both of these
d) break apart
Answer:
b) combine
Explanation:
The energy from the sun is due to Nuclear Fusion where lighter nuclei combine to form heavier and stable nuclei this releasing a lot of energy in this process.
A popular car stereo has four speakers, each rated at 60 W. In answering the following questions, assume that the speakers produce sound at their maximum power.
Part A
Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.0 m.
Express your answer numerically in watts per square meter. Use two significant figures.
Part B
Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m.
Express your answer numerically in watts per square meter. Use two significant figures.
1. Part A: The intensity I of the sound waves produced by one 60-W speaker at a distance of 1.0 m is 38 W/m².
2. Part B: The intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m is 17 W/m².
To calculate the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.0 m can be calculated using the formula:
I = P/A
Where P is the power of the speaker and A is the area of a sphere with a radius of 1.0 m. The area of the sphere is given by the formula:
A = 4πr²
A = 4π(1.0)²
A = 12.57 m²
Therefore,
I = P/A
I = 60/12.57
I = 4.77 W/m²≈ 38 W/m² (rounded to two significant figures)
To calculate the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m can be calculated using the same formula as in part A:
I = P/A
Where P is the power of the speaker and A is the area of a sphere with a radius of 1.5 m. The area of the sphere is given by the formula:
A = 4πr²
A = 4π(1.5)²
A = 28.27 m²
Therefore,
I = P/A
I = 60/28.27
I = 2.12 W/m²≈ 17 W/m² (rounded to two significant figures)
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you see a displayed diver-down flag while boating. if possible, how far away must you stay from the flag?
If you see a displayed diver-down flag while boating, it is necessary to maintain a certain distance from the flag for safety reasons. The specific distance may vary depending on local regulations and circumstances, but it is generally recommended to stay at least 100 feet away from the flag.
A diver-down flag is used to indicate the presence of divers in the water. Its purpose is to alert boaters to the potential hazards and to ensure the safety of the divers. The exact distance you must stay away from the flag may be specified by local laws or regulations, so it is important to familiarize yourself with the rules of the area you are boating in.
In many places, a common guideline is to stay at least 100 feet away from the diver-down flag. This distance allows for a safe buffer zone to prevent any accidental collisions or disturbances to the divers. However, it's crucial to check and adhere to the specific regulations in your boating location, as they may vary and could require a different distance to be maintained. Prioritizing safety and respecting the presence of divers is essential to avoid any accidents or harm to both boaters and divers.
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