The angle between the vectors is 0.59 radians.
Calculationcos(ϕ)=\(\frac{u.v}{|u|.|v|}\)
cos(ϕ)= \(\frac{4}{\sqrt{5}\sqrt{6}}\)
ϕ= 43.09°
or 0.59 in radians
Angle between vectorsThe angle that is created at the intersection of two vector tails is called as the angle between the two vectors.
If the vectors are not joined tail-to-tail, we must shift one of the vectors using parallel shifting in order to join them from tail to tail.
Between Two Vectors AngleThe angle between the tails of two vectors defines the distance between them. Either the cross product or the dot product (scalar product) can be used to find it (vector product).
The angle between two vectors always ranges from 0° to 180°, as you should be aware of.
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A rectangular loop of wire of dimensions 10.396 cm x 16.47 cm is near a long straight wire. One of the short sides of the rectangle is parallel to the straight wire and at a distance of 24.226 cm; the long sides are perpendicular to the straight wire. A current of 53.779 A flows on the straight wire, and a current of 121.164 A flows around the loop. What is the magnitude of the net magnetic force, in microNewtons, that the straight wire exerts on the loop?
Given:
The short side of rectangle is: S = 10.396 cm
The long side of rectangle is: L = 16.47 cm
The current in the rectangular loop is: I = 121.164 A
The current in the straight wire is: i = 53.779 A
The distance between the straight wire and the shortest side parallel to the wire is: R = 24.226 cm
To find:
Many measuring instruments have to be calibrated. What does this mean? Give an example.
Answer:
Explanation:
because we have to get a measuremt.
Which statement is correct about the car?
Answer:
B
Explanation:
OOf we are doing this stuff atm
So if its faster at the front and slow at the back you can tell that its not slowing down because less of a force is there however at the front there is more of a force. Friction is low which means that its not makimg much contact so no sudden change of forces thats also why its B
Answer:
The car is moving forward
Explanation:
=> Forward Force = Force on the engine = 2000 N
=> Backward Force = Air Resistance + Friction = 800+500 = 1300 N
Since the forward force is more, the car moves in the forward directing fighting with the air resistance as well as friction.
PLEASE HELP! thxssss
Answer:
D is correct
Explanation:
Which of the following statements are true? A. Particles in a longitudinal wave move perpendicular to the direction of the wave pulse.
B. The speed of a wave pulse depends on its shape.
C. Particles in a transverse wave move perpendicular to the direction of the wave pulse.
D. If we increase the tension in a string (same density), a wave pulse will travel more slowly.
Option C is true: Particles in a transverse wave move perpendicular to the direction of the wave pulse.
A longitudinal wave is a type of wave in which the particles in the medium vibrate in the same direction as the wave propagates. In a longitudinal wave, the particles move parallel to the direction of wave propagation. An example of a longitudinal wave is sound waves in air, where the air molecules vibrate back and forth parallel to the direction of the sound wave propagation.
The statement C is true, as particles in a transverse wave move perpendicular to the direction of the wave pulse. In a transverse wave, the particles in the medium vibrate perpendicular to the direction of the wave propagation. An example of a transverse wave is the motion of a string when plucked, where the particles of the string move up and down perpendicular to the direction of the wave propagation.
The statement D is also true, as the speed of a wave pulse on a string depends on the tension and the mass per unit length of the string. If the tension in the string is increased while the mass per unit length remains the same, the speed of the wave pulse on the string will decrease. This is because the tension and the speed are inversely proportional to each other according to the wave equation.
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what describes an objects speed and direction
Answer:
Velocity
Explanation:
hope this helps
Answer:
Speed in a given direction is called velocity.
Explanation:
1. how many lines of symmetry does a square have?
2. how many lines of symmetry does a triangle have?
3. how many lines of symmetry does a pentagon have?
4. how many lines of symmetry does a hexagon?
Answer:
1) four lines
2) three lines
3) fives lines
4) six lines
Answer:
4
Explanation:
If you double the mass of a cart while it is undergoing a constant unbalanced force, the acceleration will be
Halved
When a constant unbalanced force acts on an object, the acceleration of that object is directly proportional to its mass.
This means that if you double the mass of the object, the acceleration will be halved.
This can be explained by Newton’s second law of motion, which states that force is equal to mass times acceleration (F=ma).
If the force acting on the cart is constant, and the mass is doubled, the acceleration will be half of what it was before, because the force is spread out over a greater mass.
For example, if a 2 kg cart is pushed with a constant force of 10 N, it will have an acceleration of 5 m/s^2 (F=ma, 10N=(2kg)(5m/s^2)). If the mass of the cart is doubled to 4 kg, the acceleration will be halved to 2.5 m/s^2 (F=ma, 10N=(4kg)(2.5m/s^2)).
Therefore, doubling the mass of a cart under a constant unbalanced force will result in the acceleration being halved.
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Consider the heaviest box of 68 kg that you can push at constant speed across a level floor, where the coefficient of kinetic friction is 0.50, and estimate the maximum horizontal force that you can apply to the box. A box sits on a ramp that is inclined at an angle of 50.0 ∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.50.
Complete Question
Consider the heaviest box of 68 kg that you can push at constant speed across a level floor, where the coefficient of kinetic friction is 0.50, and estimate the maximum horizontal force that you can apply to the box. A box sits on a ramp that is inclined at an angle of 50.0 ∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.50.If you apply the same magnitude force, now parallel to the ramp, that you applied to the box on the floor, what is the heaviest box (in pounds) that you can push up the ramp at constant speed? (In both cases assume you can give enough extra push to get the
Answer:
The force on the heaviest mass is \(F = 333.2 \ N\)
The mass on the inclined ramp is \(M = 76.47 \ kg\)
Explanation:
From the question we are told that
The mass of the heaviest box is \(m = 68 \ kg\)
The coefficient of kinetic friction is \(\mu_k = 0.50\)
The angle at which the ramp is inclined is \(\theta = 50^o\)
Generally at constant speed the acceleration is zero , which implies that
\(F - F_f = 0\)
Here F is the horizontal force applied to the heaviest box and \(F_f\) is the kinetic frictional force which is mathematically represented as
\(F_f = \mu_k * m * g\)
=> \(F_f = 0.50 * 68 * 9.8\)
=> \(F_f = 333.2 \ N\)
So
\(F - 333.2 = 0\)
=> \(F = 333.2 \ N\)
Considering the ramp inclined at an angle above the horizontal
Generally apart from the force F acting on the box in a direction parallel to the ramp the other force acting on the box parallel to the ramp is the net force due to frictional force on the object which is mathematically represented as
\(F_f_h = \mu Mg cos (\theta )\)
and the weight of the object which is mathematically represented as
\(F_w = Mg sin (\theta )\)
So the net force is mathematically evaluated as
\(F_n = F_w - F_{fh}\)
=> \(F_n =Mg sin (\theta ) - \mu Mg cos (\theta )\)
=> \(F_n =M [ 9.8 sin ( 50 )-0.50 * 9.8 cos (50 ) ]\)
=> \(F_n = 4.3576M \ N\)
So the net force acting on the box parallel to the ramp is mathematically represented as
\(F_{net} = F - F_n\)
=> \(F_{net} = 333.2- 4.3575M\)
=> \(ma = 333.2- 4.3575M\)
From the question we are told the velocity is constant so the acceleration is zero
=> \(333.2- 4.3575M = 0\)
=> \(M = 76.47 \ kg\)
2. Jim and Sally went on vacation with their family. They took the family car and drove to the beach. The following
table displays data about a portion of their drive.
Motion of Car
Speed
Distance
0 meters
50 meters
100 meters
150 meters
meters
250 meters
Time
0.0 seconds
4.3 seconds
8.6 seconds
12.9 seconds
17.2 seconds
21.5 seconds
200
Which of the following statements best describe the motion of the car?
A. The car was speeding up.
B. The car was travelling at a constant speed.
C. The car was slowing down.
D. The car sped up and then slowed down.
9. What is the acceleration of a boat if it starts from rest and then reaches a velocity of 24 m/s in 6.0 s?
a. 0.25m/s2
b. 4.0m/s2
C. 24m/s2
d. 144m/s2
PLEASE SHOW WORK
Answer:
b. 4 ms-2
Explanation:
acceleration = velocity / time
Q2. Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. Calculate the time taken by the train to cover this distance.
Answer: 20 minutes
Explanation:
Given the following :
Average speed of train = 120km/hr
Distance = 40km.
The time take by the train moving at an average speed of 120km/hr to cover a distance of 40km due is ;
Recall:
Speed = distance / time
Therefore,
Time taken = distance covered / speed
Time taken = 40km / 120km/hr
Time taken = 1/ 3 hr
Therefore, 1/3 rd of an hour equals
1/3 × 60 = 20 minutes.
Time taken) 20 minutes
Time taken by tain to cover distance is 20 minutes as:
Distance= 40 km
Speed= 120 km/h
Time= distance/speed
= 40/120
= 1/3 hour
= 20 min
or =0.33 hrs
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A car drives 400 meters in 5 seconds. What is the cars speed in m/s?
Answer:
80/1
Explanation:
to figure out the answer of how many miles/meters per second divide the meters/miles by the second
so 400÷5 would be 80
80 meters per second
hope this helps :))
(a) what is the characteristic time constant of a 23.2 mh inductor that has a resistance of 4.21 ω? ms (b) if it is connected to a 12.0 v battery, what is the current after 12.5 ms? a
The current through the circuit after 12.5 ms is 2.5864 A.
The characteristic time constant of a 23.2 mh inductor that has a resistance of 4.21 ω is 5.82115 ms.
If it is connected to a 12.0 v battery, the current after 12.5 ms will be 2.5864 A.
Below are the steps to get to the answer:(a) Calculate the characteristic time constant of the circuit using the formula:τ = L/RWhere τ is the time constant, L is the inductance of the inductor, and R is the resistance of the circuit.tau=23.2mH/4.21Ω=5.82115ms
Hence, the characteristic time constant of the circuit is 5.82115 ms.
(b) To calculate the current through the circuit, we need to use the formula:i = (V/R) [1 - e(-t/τ)]Where i is the current, V is the voltage of the battery, R is the resistance of the circuit, t is the time, and τ is the characteristic time constant of the circuit.i = (12/4.21) [1 - e(-12.5/5.82115)]i = 2.5864
Hence, the current through the circuit after 12.5 ms is 2.5864 A.
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Two forces are applied one force is 25N(20 angle with x-axis) and the other force is 10N(60 angle with x-axis)find the net resultant force
To find the net resultant force, we need to break down each force into its horizontal and vertical components. The net resultant force is approximately 32.83 N at an angle of 32.79 degrees with the x-axis.
For the first force of 25 N at an angle of 20 degrees with the x-axis:
The horizontal component is:
25 N * cos(20) ≈ 23.76 N
The vertical component is:
25 N * sin(20) ≈ 8.56 N
For the second force of 10 N at an angle of 60 degrees with the x-axis:
The horizontal component is:
10 N * cos(60) = 5 N
The vertical component is:
10 N * sin(60) = 8.66 N
The net horizontal force is the sum of the horizontal components of each force:
23.76 N + 5 N = 28.76 N
The net vertical force is the sum of the vertical components of each force:
8.56 N + 8.66 N ≈ 17.22 N
To find the magnitude and direction of the net resultant force, we can use the Pythagorean theorem and trigonometry:
The magnitude of the net resultant force is:
√((28.76 N)² + (17.22 N)²) = 32.83 N
The direction of the net resultant force is:
tan⁻¹ (17.22 N / 28.76 N) = 32.79 degrees with the x-axis
Therefore, the net resultant force is approximately 32.83 N at an angle of 32.79 degrees with the x-axis.
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!!!!100 POINTS!!!!
Select a time span from the list below.
1500 - 1600
1600 - 1700
1800 - 1900
1920 - 1940
1950 - 1970
1970 - 1990
1990 - present
Research astronomy during that time and create a timeline of important events. You may use several materials to create your timeline, including a roll of paper, construction paper, or the computer. Be sure your timeline is accurate, legible, and visually appealing. Choose the event you believe had the greatest impact and write a 150 word summary supporting your opinion. Upload your timeline and summary in the box below. Astronomy Timeline
The event that had the greatest impact in astronomical history during this time period was the launch of Apollo 16.
The research of astronomy during the time period of 1970 - 1990 are given below as;
Date Event
1. 15 June 1974 Black Brant VC sounding rocket from White Sands.
2. 14 May 1973 Launch of Skylab, the USA's first space station
3. 26 July 1971 Launch of Apollo 15
What is Astronomy?Astronomy is a branch of science that deals with celestial bodies and their relationship with each other.
From the information given about astronomy, between the time period 1970 - 1990 as it was on the 26th of December, 1974 that the Soviet space station Salyut-4 was launched.
The event that had the greatest impact in astronomical history during this time period was the launch of Apollo 16.
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please give me answer of this question and I will mark you as brainliest
Answer:
Maharashtra - mashru or himroo / dhoti and lugda
Gujarat - patola / ghagra choli
Punjab - pat / kurta and pajama
Odisha - ikat / Sadi
West Bengal - tossa / kurta
Karnataka - Mysore silk / mundu
The sodium-potassium pump moves blank ions into the cell and blank ions out of the cell.
potassium ions into the cell and
outside
⇒ sodium ions out of the cell.
Larvae and pupae normally float. They must use their muscles in order to dive down through water. What type of energy is used by the muscles?
O Sound energy from the air
O Thermal energy from the water
O Chemical potential energy from their cells
O Gravitational potential energy from Earth
The type of energy used by the muscles of larvae and pupae to dive down through water is chemical potential energy from their cells. When the muscles contract, the chemical energy stored in the cells is converted into mechanical work, which allows the larvae and pupae to move through the water. Since Larvae and pupae have muscles that allow them to move through the water. When these muscles contract, they convert the stored chemical energy in their cells into mechanical work, which allows the larvae and pupae to move through the water. This is an example of how chemical potential energy can be converted into kinetic energy, which is the energy of motion. Therefore, the type of energy used by the muscles of larvae and pupae to dive down through water is chemical potential energy from their cells.
A circuit constructed on a circuit board is shown below.
Which of the following schematic circuits correctly represents the circuit shown?
Answer:
see attached
Explanation:
The drawing shows a battery connected to two lamps in series. There is no switch in the circuit. The schematic below reflects this.
Calculate the potential energy of a rock with a mass of 55 kg as it sits on a cliff that is 27 m high
Answer:
The potential energy is zero since the rock isn't moving.
a(n) potential is the brief wave of positive electrical charge that sweeps down the axon.
The term that you are referring to is an action potential. An action potential is a rapid and brief wave of positive electrical charge that sweeps down the axon of a neuron.
It is initiated by a depolarization of the cell membrane and results in the transmission of an electrical signal from one neuron to another.
Action potentials are a crucial part of the nervous system and are responsible for a wide range of behaviors and functions, including movement, sensation, and cognition.
The process of generating an action potential involves a series of changes in the electrical potential across the neuron's cell membrane. Normally, the neuron's membrane has a resting potential, which is a stable negative charge inside the cell compared to the outside.
This resting potential is maintained by the balance of ions, such as sodium (Na+), potassium (K+), and negatively charged proteins, across the membrane.
When a neuron receives a stimulus, it can cause a brief depolarization of the cell membrane. Depolarization is a change in the electrical potential, resulting in a temporary reversal of the charge across the membrane.
This depolarization triggers the opening of voltage-gated ion channels, primarily sodium channels, in the neuron's membrane.
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Is overall loudness proportional to the number of speakers? F.E., if I use 4 identical sound devices instead of one, playing the same sound sample... Will they sound 4 times louder?
Answer:
a. No. The overall loudness is not proportional to the number of speakers.
b. No, it will not sound 4 times louder.
Explanation:
a. Loudness is the quality of how loud or soft the sound is. Since loudness is proportional to intensity and intensity proportional to the amplitude of the sound, the overall loudness of the sound would not be proportional to the number of speakers.
Since the sound from each speakers adds by superposition, their phases might be different but their amplitudes the same. So, the resultant wave from the four speakers has the same amplitude as the wave from one speaker. And, since loudness is proportional to amplitude, the loudness of the resultant wave is equal to the loudness of each individual speaker.
So, the loudness is not proportional to the number of speakers.
b. No, it will not sound 4 times louder.
This is because loudness is a function of amplitude.
Since the devices are identical and playing the same sound, their amplitudes are the same. They will thus add by superposition to generate a resultant wave which has an amplitude the same as each individual wave.
Since the amplitude of the resultant wave is the same and not an addition of each individual amplitude, the resultant wave does not sound 4 times louder.
how long does it take for the moon to rotate around the earth
Answer:
27,32 dia
Explanation:
Why is it important to describe the reference frame you are using when sharing information about position?
It is important to describe the reference frame you are using when sharing information about position because it helps to determine the relative distance or position of an object.
What is frame of reference?
A frame of reference is a particular position or point on which you base your judgment of a moving object.
Also, reference frames are used to specify the relationship between a moving observer and the phenomenon under observation.
A frame reference helps to measure the accurate position or distance traveled by an object.
Thus, it is important to describe the reference frame you are using when sharing information about position because it helps to determine the relative distance or position of an object.
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Sius? What is the density of mercury at 100°C if that at 0°C is 13.6- if y Mercury 1.8×104 K-¹
The density of mercury at 100 °C, given that the density of mercury is 13.6 gcm⁻³ at 0 °C, is 13.4 g/cm³
How do i determine the of mercury at 100 °C?First, we shall obtain the new volume of the mercury. Details below:
Density at 0 °C (d₁) = 13.6 gcm⁻³
Mass (m) = 13.6 gInitial volume (V₁) = m/d₁ = 13.6 / 13.6 = 1 cm³Initial temperature (T₁) = 0 °CNew temperature (T₂) = 100 °CChange in temperature (ΔT) = 100 - 0 = 100 °CCoefficient of cubic expansion (α) = 1.8×10⁻⁴ K⁻¹New volume (V₂) = ?V₂ = V₁ ( 1 + αΔT)
= 1 × [1 + (1.8×10⁻⁴ × 100)]
= 1 × [1 + 0.018]
= 1.018 cm³
Finally, we shall obtain the density at 100°C. Details below:
New volume = 1.018 cm³ Mass of mercury = 13.6 gDensity at 100°C = ?Density at 100 °C = mass / new volume
= 13.6 / 1.018
= 13.4 g/cm³
Thus, the density of mercury at at 100 °C is 13.4 g/cm³
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Complete question:
What is the density of mercury at 100°C if that at 0°C is 13.6 gcm⁻³ and coefficient of cubic expansion of Mercury 1.8×10⁻⁴ K⁻¹
A certain AM radio wave has a frequency of 1.12 x 106 Hz. Given that radio waves travel at 2.99 x 108 m/s, what is the wavelength of this radio wave? (Round your answer to three significant figures.) Answer in "m" units
Answer:
2.67×10² m
Explanation:
Applying
V = λf............... Equation 1
Where V = Velocity of radio wave, λ = wave length, f = frequency.
make λ the subject of the equation
λ = V/f................ Equation 2
From the question,
Given: V = 2.99×10⁸ m/s, f = 1.12×10⁶ Hz.
Substitute these values into equation 2
λ = (2.99×10⁸)/(1.12×10⁶)
λ = 2.66696×10² m
λ ≈ 2.67×10² m
Answer:
hey Leslie good morning. they deleted you other question lol.
the process of converting food into energy is called
The process of converting food into energy is called cellular respiration. This process occurs in the mitochondria of cells and involves.
the breakdown of glucose and other organic molecules in the presence of oxygen to produce ATP, the primary source of energy for cellular activities. Cellular respiration is a complex series of biochemical reactions that involves several stages, including glycolysis, the Krebs cycle, and oxidative phosphorylation. These stages involve the transfer of electrons and protons between different molecules and the production of ATP through a process called chemiosmosis. The overall reaction of cellular respiration can be summarized as: glucose + oxygen → carbon dioxide + water + ATP.
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Two Toy cars with white and red colours are moved to the same height. If the mass of the white
car is doubled for the same height what would happen to potential energy of white car and
why?
Answer:
what could be rhe answer
Answer:
Also will be doubled
Explanation:
because potential energy is directly proportional to mass which means when mass or height increases the potential energy will also increases
In economics, _________ is the amount of a resource that firms and producers are willing and able to provide to the marketplace
sectors are the amount of resources