The distance between the two cars can be expressed as a function of time using the Pythagorean theorem. At t = 0, the cars are 2 km apart, and as time progresses, their distances increase.
Explanation:The distance between the two cars can be expressed as a function of time using the Pythagorean theorem. Let's consider the time t as the independent variable. At t = 0, both cars leave the intersection, so the distance between them is initially given by:
[tex]d(0) = \sqrt{((2 km)^2 + (0 km)^2)} = \sqrt{(4 km^2)} = 2 km[/tex]
As time progresses, the car headed south travels at a speed of 40 mph, which means its distance from the starting point increases by 40t miles. Similarly, the car headed west travels at a speed of 30 mph, increasing its distance from the starting point by 30t miles.
Using the Pythagorean theorem again, we can find the distance d between the two cars as a function of time:
[tex]d(t) = \sqrt{((40t)^2 + (30t)^2)[/tex]
In order for an object to accelerate, what must be applied?
Explanation:
According to Newton's second law of motion, the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Mathematically, Force = mass × acceleration
or, Acceleration = [tex]\frac{Force}{mass}[/tex]
Thus, we can conclude that in order to accelerate an object, force must be applied. The object will accelerate in the direction in which force is applied.
In order for an object to accelerate, a net force must be applied to it. The net force determines the resulting acceleration of the object. The net force may come from various sources.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass
F = m × a,
If an object experiences a net force, it will undergo acceleration in the direction of the net force. Acceleration is the rate of change of velocity, so the object will either speed up, slow down or change direction.
The net force required to accelerate an object may come from various sources, such as applied forces, gravitational forces, frictional forces, or any other force acting on the object. The net force determines the resulting acceleration of the object.
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Wich of the following is not a simple machine?
1.)A bike
2.)A screw
3.) A incline plane
4.) A lever
A hotel wants to put a fence around a circular spa. The radius of the spa is 5/√2-1 feet. If the fence is built along the immediate edge of the spa, what is the perimeter of the fence? (Recall that the
perimeter of a circle is 2πr , where r is the radius of the circle.)
To calculate the perimeter of the fence around the spa, you use the formula 2πr, substituting the spa's radius, 5/√2-1 feet, into the formula.
Explanation:The radius of the spa is given as 5/√2-1 feet. To find the perimeter of the fence, which is the same as the circumference of the circular spa, you use the formula 2πr, where r is the radius of the circle.
Substitute the given radius into the formula:
Perimeter = 2π(5/√2-1)
Perform the multiplication to obtain the perimeter. This will give you the total length of the fence needed to surround the spa.
What type of energy is released when fossil fuels are burned?
a. electrical energy
b. nuclear energy
c. kinetic energy
d. chemical energy
Five-gram samples of copper and aluminum are at room temperature. Both receive equal amounts of energy due to heat flow. The specific heat capacity of copper is 0.09 cal/g°C, and the specific heat capacity of aluminum is 0.22 cal/g°C. Which of the following statements is true?
a. The temperature of each sample increases by the same amount.
b. The aluminum will get hotter than the copper.
c. The copper will get hotter than the aluminum.
d. The temperature of each sample decreases by the same amount
m₁ = mass of sample of copper = m₂ = mass of sample of aluminum = 5 g
T = initial temperature of copper = initial temperature of aluminum
T₁ = final temperature of copper
T₂ = final temperature of aluminum
c₁ = specific heat of copper = 0.09 cal/g°C
c₂ = specific heat of aluminum = 0.22 cal/g°C
Since both receive same amount of heat, hence
Q₁ = Q₂
m₁ c₁ (T₁ - T) = m₂ c₂ (T₂ - T)
(5) (0.09) (T₁ - T) = (5) (0.22) (T₂ - T)
T₁ - T = (2.44) (T₂ - T)
Change in temperature of copper = (2.44) change in temperature of aluminum
hence the correct choice is
c. The copper will get hotter than the aluminum.
Answer: c. The copper will get hotter than the aluminum.
Explanation: Specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 gram of water through [tex]1^0C[/tex]
As we know that,
[tex]Q=m\times c\times \Delta T[/tex]
m= mass
c = specific heat
[tex]\Delta T[/tex] = change in temperature
Given : [tex]Q_{Cu}=Q_{Al}[/tex]
mass of copper = mass of Aluminium= 5 g
[tex]c_{Cu}\times \Delta T_{Cu}=c_{Al}\times \Delta T_{Al}[/tex]
Now put all the given values , we get
[tex]0.09\times \Delta T_{Cu}=0.22\times \Delta T_{Al}[/tex]
Thus as specific heat capacity of copper is less, the temperature change will be more as they both are at same initial temperature.
When an electron moves from a lower to a higher energy level the electron?
Answer: This process absorbs energy.
Explanation:
There are two ways in which electrons can transition between energy levels:
Absorption spectra: This type of spectra is seen when an electron jumps from lower energy level to higher energy level. In this process, energy is absorbed.
Emission spectra: This type of spectra is seen when an electron jumps from higher energy level to lower energy level. In this process, energy is released in the form of photons.
So, when electron jumps from lower to higher energy level, it absorbs energy.
What happens to an iron bar when it is placed within the coils of a solenoid
it becomes a magnet.
Explanation;When an iron bar is placed within the coils of a solenoid it becomes a magnet. This type of a magnet is called an electromagnet.An electromagnet is made by placing a ferromagnetic material such as iron in a solenoid of a closed circuit. Electromagnets are used in all kinds of electric devices including hard disk drives, generators, motors, etc.Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert this to square meters.
A syrup added to an empty container with a mass of 115.25g . When 0.100 pint of syrup is added, the total mass of the container and syrup is 182.48g. Determine the density ...?
Final answer:
To find the density of syrup added to a container, we subtract the empty container's mass from the total mass to get the syrup's mass, convert the pint volume to mL, and divide the mass by the volume, resulting in a syrup density of 1.42 g/mL.
Explanation:
The question involves determining the density of syrup by first finding the mass of the syrup alone and then using its volume in pints. The mass of the empty container is given as 115.25 g, and the total mass of the container with syrup is 182.48 g.
To find the mass of the syrup alone, we subtract the mass of the container from the total mass, which gives us 67.23 g of syrup. To convert 0.100 pint to milliliters (mL), we use the conversion rate (1 pint = 473.176 mL), resulting in 47.3176 mL of syrup. Density is mass divided by volume, hence we divide 67.23 g by 47.3176 mL to get the density of the syrup.
Density calculation:
Mass of syrup = 182.48 g - 115.25 g = 67.23 gVolume of syrup (in mL) = 0.100 pint * 473.176 mL/pint = 47.3176 mLDensity of syrup = Mass / Volume = 67.23 g / 47.3176 mL = 1.42 g/mLTherefore, the density of the syrup is 1.42 g/mL.
30. Find the vector v with the given magnitude and the same direction as u.
||v|| = 3
u = (4,-4) ...?
Which of the following best characterizes an electron?
A. negatively charged particle outside the nucleus of an atom
B. negatively charged particle within the nucleus of an atom
C. positively charged particle that carries electrical current
Which of the following best characterizes an electron?
A. negatively charged particle outside the nucleus of an atom
B. negatively charged particle within the nucleus of an atom
C. positively charged particle that carries electrical current
An electron is a negatively charged particle found outside the nucleus of an atom, responsible for the electrical properties and chemical behavior of atoms. Electrons orbit around the nucleus in specific energy levels or shells and carry electrical current.
Explanation:An electron is a negatively charged particle that is found outside the nucleus of an atom. It is one of the fundamental particles that make up an atom and carries a unit negative charge.
Unlike protons that are found in the nucleus and carry a positive charge, electrons orbit around the nucleus in specific energy levels or shells. These negatively charged particles are responsible for the electrical properties and chemical behavior of atoms.
For example, in electrical circuits, when electrons flow through a conductor, they carry electrical current. However, it is important to note that despite being negatively charged, electrons do not carry positive charge like a proton.
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An electron is best characterized by the following description A. Negatively charged particle outside the nucleus of an atom.
To explain further, an electron is a subatomic particle with a negative charge that resides in the electron orbital, which is outside the nucleus of an atom. It carries the smallest unit of negative charge, denoted by a charge of -1.
Electrons are fundamental components of atoms and play a crucial role in chemical reactions and the flow of electricity.
Round the number 14.587020 to 4 significant digits.
a.
14.59
b.
14.58
c.
14.587
d.
15.00
correct answer is a because that was the coreect answer on e2020
You are walking on a beach and find a mystery piece of metal. You take it back to your lab and measure its mass to be 0.5 kg. In order to heat the metal 1 degree K, you must add 115 J of heat. Identify the metal. q =mCΔT
Answer:
Metal : silver
Explanation:
It is given that,
Mass of the metal, m = 0.5 kg
Temperature, [tex]\Delta T=1\ ^0\ K[/tex]
Heat, Q = 115 J
Heat absorbed is given by :
[tex]Q=mc\Delta T[/tex]
[tex]c=\dfrac{Q}{m\Delta T}[/tex]
Where,
c is the specific heat of the metal
[tex]c=\dfrac{115\ J}{0.5\times 1\ ^0K}[/tex]
[tex]c=230\ J/kg\ ^0K[/tex]
The metal having specific heat equals 230 J/kg °K is silver
Hence, this is the required solution.
A fair ground ride spins its occupants inside a flying saucer-shaped container. if the horizontal circular path the riders follow has an 8.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 1.50 times that due to gravity?
a mechanical wave is created when a medium ____, or moves back and forth or up and down
Answer: The correct word for the blank is 'oscillates'
" a mechanical wave is created when a medium oscillates , or moves back and forth or up and down
Explanation:
When the matter oscillates or vibrates it transfers energy through the medium in the form of wave which termed s mechanical wave.For example: Sound wave,slinky waves, water waves are the examples of mechanical waves.
So, " a mechanical wave is created when a medium oscillates , or moves back and forth or up and down
A ball is thrown at a 60.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 16.0 m/s. How long does the ball remain in the air before striking the ground?
To determine the time a projectile remains in the air, calculate the initial vertical velocity using the sine of the launch angle and then apply kinematic equations to solve for time using the vertical displacement and acceleration due to gravity.
Explanation:The student's question is related to the time a projectile remains in the air, which is a topic in Physics, specifically in kinematics. To find the time of flight for the projectile, we need to consider the vertical motion since the horizontal and vertical motions are independent.
Given that the initial speed of the ball is 16.0 m/s and it is thrown at a 60.0° angle, we can find the initial vertical velocity (Vy) using the sine function: Vy = 16.0 m/s * sin(60.0°).
The vertical displacement Δy for the ball when it hits the ground will be -2.00 m (negative since it's ending below the point of release). We will use the following kinematic equation for vertical displacement: Δy = Vy * t + 0.5 * g * t^2, where g is the acceleration due to gravity (-9.8 m/s^2, negative as it's directed downwards).
By substituting the known values and solving the quadratic equation for t (time), we can determine the total time the ball remains in the air.
Walking converts what type of energy into mechanical energy
a bicycle has a momentum of 12 kgm/s. What momentum would the bicycle have if it had: a) half the mass and twice the speed
b) the same mass and half the speed
c) three times the mass and half the speed
d) three times the mass and twice the speed
In the morning, Margret drove to a business appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took (1/4) hours longer because of heavy traffic. How far did she travel to the appointment? ...?
Final answer:
Margret traveled 50 miles to her appointment. To determine this, an equation using the relationship between time, distance, and speed was solved, taking into account that her return trip took 1/4 hour longer due to heavy traffic.
Explanation:
To solve this problem, we need to set up an equation using the concept of time, distance, and speed. Let d represent the distance to the appointment. The time taken to get to the appointment is d/50 hours, and the time taken to come back is d/40 hours. We are given that the return trip took (1/4) hours longer, which can be written as:
d/40 = d/50 + 1/4
To find the distance d, we solve this equation. Clear the fractions by multiplying everything by a common denominator, which is 200 in this case, to get:
5d = 4d + 50
This simplifies to d = 50 miles. Therefore, the distance Margret traveled to her appointment was 50 miles.
This problem is a classic example of using algebra to solve for a variable in a scenario involving average speed, and it emphasizes understanding the relationship between speed, distance, and time.
A mass of 10.0 kg is in a gravitational field of 3.50 N/kg. What force acts on the mass?
Answer:
Force=35 N
Explanation:
Given data
mass m=10.0 kg
Gravitational field E=3.50 N/kg
To find
Force
Solution
From definition of gravitational field intensity.
[tex]E_{gravitational-field }=\frac{Force}{mass}\\ E=F/m\\F=mE\\F=(10.0 kg)*(3.50 N/kg)\\F=35N[/tex]
Car 1 drives 20 mph to the south, and car 2 drives 30 mph to the north. From the frame of reference of car 1, what is the velocity of car 2?
The velocity of car 2 from the frame of reference of car 1 will be 10 mph.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
The velocity of car 1, V₁ = 20 mph south
The velocity of car 2, V₂ = 30 mph north
From the frame of reference of car 1, the velocity of car 2 will be V₁₂
From the frame of reference of car 1, the velocity of car 2 will be;
V₁₂=V₂ - V₁
V₁₂= 30 mph - 20 mph
V₁₂= 10 mph
Hence, the velocity of car 2 from the frame of reference of car 1 will be 10 mph.
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A top-gun pilot, practising radar avoidance maneuvers, is manually flying horizontally at 1300km/h, just 35m above the level ground. suddenly, the plane encounters terrain that slopes gently upward at 4.3 degree. an amount difficult to detect visually . how much times does the pilot have to make a correction to avoid flying into ground?
Why does the number of elements vary from period to period
If a star is located 100 light years from Earth, what can you conclude about the light from the star? ...?
Answer:
Light from star would take 100 years to reach the Earth.
Explanation:
1 light year can be defined as the distance which light travels in one year in space.
1 light year = speed of light × 1 year
1 light year = 9.46 × 10¹⁵ m
A star at a distance of 1 light year means that observer on earth would see the first light from the star after 1 year.
If a star is located 100 light years from the Earth, the light from the star will reach the Earth in 100 years.
Which of the following is a source of direct electric current?
A. transformer
B. Coulomb
C. switch
D. battery
What net force is necessary to give a 2.0 kg mass initially at rest an acceleration of 5.0 m/s^2?
A. 0.40 N
B. 2.5 N
C. 7.0 N
D. 10. N
E. 20. N
If you lift a 200 newton box 1 meter with a rope and is the system and you apply 20 newtons to lift this box, what to mechanical advantage of the system? How far do you have pull the rope when you are applying the input force? If you do this work in 5 seconds, what is the power?
The mechanical advantage of the system is 0.1.
When you are applying the input force, rope is pulled by 10m.
The power is 40 Watt.
What is mechanical advantage?Mechanical advantage is the ratio of power output to the power input.
M.A= 20 N / 200 N
M.A = 0.1
Thus, the mechanical advantage is 0.1.
The length of rope pulled = 1m / M.A
= 1/0.1
= 10m
Thus, when you are applying the input force, rope is pulled by 10m.
Work done by the force = force * distance traveled
W = 200N * 1m = 200 J
Power = Work done /time
P = 200 J/5s
P = 40 Watt
Thus, the power is 40 Watt.
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Final answer:
To lift a 200N box 1 meter with a MA of 10, you must pull the rope 10 meters. The mechanical advantage is calculated by dividing the output force by the input force. The power required to lift the box in 5 seconds is 40 Watts.
Explanation:
To calculate the mechanical advantage (MA) of the system, we divide the output force by the input force. In this case, the output force is 200 newtons, and the input force is 20 newtons. Therefore, the MA of the system is 200N / 20N = 10.
To find out how far you must pull the rope, we use the concept that work input equals work output, assuming negligible losses due to friction or inefficiency. Because the MA is 10, and to lift the load 1 meter, you have to pull the rope 10 meters. The distance you have to pull the rope is directly proportional to the MA when lifting a load using a pulley system.
The power of the system can be calculated by dividing the work done by the time taken. Work done is force times distance (Output force * height lifted = 200N * 1m = 200 Joules) and the time taken is 5 seconds. Power = Work/Time = 200J/5s = 40 Watts.
The amount of energy carried by a wave is proportional to the square of the wave’s
A. frequency
B. amplitude
C. wavelength
D. period ...?
Answer: The correct answer is "amplitude".
Explanation:
The expression of the energy in terms of frequency is as follows;
E=hf
Here, h is Planck's constant, E is the energy and f is the frequency of the wave.
Here, the energy is directly proportional to the frequency of the wave. The energy of the wave is inversely proportional to the wavelength of the wave.
Amplitude is the maximum displacement of the particle from its equilibrium position in the vertical direction.
The amount of energy carried by a wave is directly proportional to the square of the amplitude. More the energy of the wave, more will be amplitude of the wave. Lesser the energy of the wave, lesser will be the amplitude of the wave.
Therefore, the correct option is (B).
Energy transformation of a jet plane rapidly accelerates down a runway
The energy transformation of a jet plane rapidly accelerating down a runway involves the conversion of chemical energy into kinetic energy and the potential decrease in potential energy. The engines also generate sound and heat energy.
Explanation:The energy transformation of a jet plane rapidly accelerating down a runway involves multiple concepts in physics. Initially, the plane's engines convert chemical energy from fuel into kinetic energy as the plane moves forward. As the plane accelerates, the kinetic energy increases, while the potential energy decreases. Finally, the plane's engines also generate sound and heat energy as a byproduct of the combustion process.
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What two-word term describes a low-pressure system of arctic air that's locked into the north pole and is associated with a social media trend from 2014?