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 star’s apparent brightness is dependent upon
A boy kicks a football with an initial velocity of 20 m/s at an angle of 30 above the horizontal. What is the vertical component of it's velocity at the highest point of it's trajectory?
The maximum height that the football would reach which is the vertical component of it's velocity at the highest point of it's trajectory is 10m.
What is velocity?Velocity is the directional speed of a moving object as an indication of its rate of change in position. It is observed from a specific frame of reference and measured by a specific time standard.
As, the boy kicks the football at an angle, the ball will follow a parabolic projectile path due to the effect of gravitational force. The velocity of the ball would be equal to zero at its maximum height.
We can derive the following equation from the equations for projectile motion:
Maximum height = velocity × sin Θ
Maximum height = 20 m / s × sin 30°
= 20× 1/2
=10m
Therefore, the maximum height that the ball would reach would be 10 m.
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A student squeezes several oranges to make a glass of orange juice. The juice contains pieces of orange pulp mixed with the juice. Explain why this drink can be considered a combination of a suspension and a solution.
Answer:
The juice contains sugars, plant pigments, and other chemicals dissolved in water. This is a solution. The pieces of orange pulp will rise to the top or settle to the bottom of the juice if it is allowed to sit. The pieces of pulp mixed with the juice form a suspension.
Explanation:
Final answer:
The orange juice can be considered a combination of a suspension and a solution because it contains both suspended particles of orange pulp and dissolved species, such as juice molecules and ions.
Explanation:
The orange juice can be considered a combination of a suspension and a solution because it contains both suspended particles of orange pulp and dissolved species, such as juice molecules and ions.
The orange pulp in the juice is an example of a suspension, which is a heterogeneous mixture composed of relatively large particles that are visible. The pulp particles are suspended in the juice and can settle out over time.
On the other hand, the juice itself is a solution, which is a homogeneous mixture where no settling occurs. The dissolved juice molecules and ions are evenly distributed in the liquid, giving it a transparent appearance.
Ultraviolet light emits a total of 2.5 × 10^–17 J of light at a wavelength of 9.8 × 10^–7 m. How many photons does this correspond to?
Final answer:
To find the number of photons, we first calculate the energy of one photon using Planck's equation and then divide the total energy by this value. With the given wavelength, the energy per photon is 2.03 × 10⁻¹⁹ J, leading to approximately 1.23 × 10² photons for the total energy emitted.
Explanation:
To calculate the number of photons emitted at a given wavelength, we use the energy of a single photon and divide the total energy by this value. The energy (E) of a photon is related to its wavelength (λ) by the equation E = hc/λ, where h is Planck's constant (6.63 × 10⁻³⁴ J·s) and c is the speed of light (3.00 × 10⁸ m/s). Given a wavelength of 9.8 × 10⁻⁷ m, the energy per photon can be calculated. Then, the total number of photons is total energy / energy per photon.
First, we find the energy of one photon:
Energy per photon (E) = (6.63 × 10⁻³⁴ J·s) × (3.00 × 10⁸ m/s) / (9.8 × 10⁻⁷ m)E = 2.03 × 10⁻¹⁹ J per photonNext, we use the total energy to find the number of photons:
Number of photons = Total energy / Energy per photonNumber of photons = (2.5 × 10⁻¹⁷ J) / (2.03 × 10⁻¹⁹ J)Number of photons ≈ 1.23 × 10² photonsFinal answer:
To find the number of photons that correspond to 2.5 × 10⁻¹⁷ J of ultraviolet light at a wavelength of 9.8 × 10⁻· m, first calculate the energy per photon using Planck's formula, then divide the total energy by this value, resulting in approximately 1.23 × 10² photons.
Explanation:
To calculate the number of photons corresponding to 2.5 × 10⁻¹⁷ J of ultraviolet light at a wavelength of 9.8 × 10⁻· m, we must first determine the energy per photon using the formula E = hc/λ, where E is the photon energy, h is Planck's constant (6.626 × 10⁻4 J·s), c is the speed of light in a vacuum (3 × 10⁸ m/s), and λ is the wavelength of the light.
First, we calculate the energy per photon:
E = (6.626 × 10⁻4 J·s)(3 × 10⁸ m/s) / (9.8 × 10⁻· m) ≈ 2.026 × 10⁻ J per photon.
Now, we find the number of photons by dividing the total energy by the energy per photon:
Number of photons = Total energy / Energy per photon = (2.5 × 10⁻ J) / (2.026 × 10⁻ J/photon) ≈ 1.23 × 10² photons.
A car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver sees a small gap between a van and an 18-wheel truck and accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 25.0 m/s when it reaches the end of the ramp, which has length 129 m.
What is the acceleration of the car?
The crystals that form in slowly cooling magma are generally ____. a. nonexistent c. tiny b. invisible d. large
Which of the following is the most appropriate unit to describe the rate at which water flows out through a standard household faucet?
Minutes per gallon, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.
Gallons per minute, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.
Minutes per gallon, because the independent quantity is time in minutes and dependent quantity is volume of water in gallons.
Gallons per minute, because the independent quantity is time in minutes and dependent quantity is volume of water in gallons.
Answer:
Gallons per minute, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.
Explanation:
As we know that gallons is the unit of volume which is used in US to measure volume of gas as well as liquids while time is measured in minutes.
Now we know that if we need to find the volume flow rate then in that case the measurement is done to find the amount of fluid flow per unit of time
so here since volume flow is an independent variable which do not depends on any other parameter while time is a dependent variable here which is given as
[tex]flow \: rate = \frac{dV}{dt}[/tex]
so correct answer will be
Gallons per minute, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.
If an object has a mass of 38 kg, what is its approximate weight on earth?
A dolphin emits ultrasound at 100kHz and uses the timing of reflections to determine the position of objects in the water. What is the wavelength of this ultrasound? Assume that temperature of water is 20C.
Final answer:
The wavelength of the ultrasound is approximately 0.01482 meters.
Explanation:
The wavelength of ultrasound can be calculated using the formula:
λ = v/f
Where:
λ is the wavelength
v is the speed of sound in the medium
f is the frequency of the ultrasound
In this case, the frequency of the ultrasound is 100 kHz, which can be converted to 100,000 Hz. The speed of sound in water at 20°C is approximately 1482 m/s. Substituting these values into the formula, we get:
λ = 1482 m/s / 100,000 Hz
λ ≈ 0.01482 m
The wavelength of the ultrasound is approximately 0.01482 meters.
A heavy crate rests on the bed of a flatbed truck. When the truck accelerates, the crate remains where it is on the truck, so it, too, accelerates. What force causes the crate to accelerate? ...?
Explanation:
A heavy crate rests on the bed of a flatbed truck. When the truck accelerates, the crate remains where it is on the truck, so it, too, accelerates. Due to the frictional force, the crate accelerates.
The force of friction is an opposing force. The force of friction depends on the coefficient of friction and the normal force acting on the object. The frictional force is of two types i.e sliding friction, static friction.
So, the frictional force causes the crate to accelerate.
A spaceship which is 50,000 kilometers from the center of Earth has a mass of 3,000 kilograms. What is the magnitude of the force of gravity acting on the spaceship? (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.) 400 newtons 478 newtons 500 newtons 1595 newtons
Answer:
The correct option is [tex]478N[/tex]
Explanation:
Between two objects of a certain mass exists a force call the gravitational force. This force is the ''attraction'' force between the objects.
The equation to calculate this force is :
[tex]F_{G}=\frac{G.m_{1}.m_{2}}{d^{2}}[/tex] (I)
Where [tex]F_{G}[/tex] is the gravitational force.
Where G is the gravitational constant.
[tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the masses of each object.
And [tex]d[/tex] is the distance between the objects (In fact is the distance between the mass centroid of each object).
In order to calculate the gravitational force, we need to replace the data in the equation.
The distance [tex]50000km[/tex] is equal to :
[tex]50,000km.(\frac{1000m}{1km})=50,000,000m[/tex]
Now, if we replace in the equation (I) all the data :
[tex]F_{G}=\frac{(6.673).(10)^{-11}\frac{Nm^{2}}{kg^{2}}.3000kg.(5.98).10^{24}kg}{(50,000,000m)^{2}}=478.854N[/tex]
[tex]F_{G}=478.854N[/tex] ≅ 478 N
We find that the magnitude of the force of gravity acting on the spaceship is 478 N.
Heat transfer within a fluid takes place by
a. convection currents.
b. radiation.
c. conduction.
d. density. user: the energy from the sun that warms your face is transferred by a process called ______.
After one species disappears the other species in the ecosystem.....
The disappearance of one species in an ecosystem can lead to increased competition, growth of different species communities, or even the extinction of other related species. In extreme cases, it could result in the loss of the whole ecosystem.
Explanation:After one species disappears from an ecosystem, other species present in that ecosystem can be faced with a variety of scenarios. In some cases, a species that was competing with the now-extinct species for resources might thrive due to the lessened competition (scenario d and c). This could lead to a shift in the ecosystem's structure, particularly if the extinguished species was a dominant one.
Alternatively, another mature community with different species may quickly grow in place of the original community (scenario b). Therefore, in an ecosystem, the extinction of one species can lead to the emergence of new species or change the abundance of existing ones.
However, it's crucial to remember that ecosystems are a delicate balance of interactions between species, loss of a single species could lead to the extinction of related species as well (scenario on plant extinction). In extreme cases, the entire ecosystem could disappear (scenario of ecosystem diversity), which has significant environmental and economic impacts.
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Two masses, each weighing 1.0 × 103 kilograms and moving with the same speed of 12.5 meters/second, are approaching each other. They have a head-on collision and bounce off away from each other. Assuming this is a perfectly elastic collision, what will be the approximate kinetic energy of the system after the collision?
A. 1.6 × 105 joules
B. 2.5 × 105 joules
C. 1.2 × 103 joules
D. 2.5 × 103 joules ...?
Answer:
A. 1.6 × 105 joules
Final answer:
The total kinetic energy remains the same in a perfectly elastic collision. Since the two identical masses have identical speeds initially, their joined kinetic energies will be 1.6 × 10⁵ joules after the collision, same as before.
Explanation:
In a perfectly elastic collision, both momentum and kinetic energy are conserved. Since the two masses are identical and approach each other with the same speed, they will bounce back with the same speed after the collision, assuming no external forces act on the system. The kinetic energy of the system before the collision can be calculated using the formula KE = 0.5 × m × v² for each mass and then adding the two values together.
For each mass, KE = 0.5 × 1.0 × 10³ kg × (12.5 m/s)². Calculating this we get KE = 0.5 × 1.0 × 10³ × 156.25 = 78,125 Joules. Since there are two masses, the total kinetic energy would be 2 × 78,125 J = 156,250 Joules.
Immediately after collision, because it is perfectly elastic, the same amount of kinetic energy will be present. Therefore, the approximate kinetic energy of the system after the collision will be 1.6 × 10⁵ joules.
Explain the steps of the life cycle of a star. Beginning with a nebula and ending with old age/death of a star, explain each step in a star’s life cycle
Final answer:
The life cycle of a star begins in a nebula and can end as a white dwarf, neutron star, or black hole, depending on its mass. The main sequence and red giant phases are critical stages in a star's evolution.
Explanation:
The life cycle of a star is a fascinating journey from birth to death, marked by transformations driven by nuclear processes and the gravitational pull. Understanding this cycle offers insights into the transient nature of celestial bodies and the forces shaping our universe.
Birth in a Nebula
Stars begin their lives in nebulae, massive clouds of gas and dust. Over millions of years, these clouds contract under gravity, heating up the core until nuclear fusion starts, marking the birth of a new star.
Main Sequence Stars
Once a star begins fusing hydrogen into helium in its core, it enters the main sequence phase, which can last billions of years, depending on its mass. Our Sun is currently halfway through this stage, expected to last a total of about 10 billion years.
Red Giant
As a star exhausts its hydrogen fuel, it expands into a red giant. For a Sun-like star, this phase will see it swell significantly, engulfing nearby planets.
Planetary Nebula and White Dwarf
Eventually, the outer layers of the red giant are ejected, leaving behind a planetary nebula. The core that remains cools and contracts into a white dwarf, marking the end of its life cycle. For stars like our Sun, this white dwarf will slowly fade over billions of years.
Massive Stars' Fate
Larger stars may undergo more dramatic endings, including supernova explosions, leaving behind neutron stars or black holes, depending on their mass.
An object is launched at 20 m/s from a height of 65 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.9t² + 20t + 65. What is the object's maximum height? the numeric answer only, rounded to the nearest meter.
Answer:
Maximum height will be 85 meter
Explanation:
given that height of an object is function of time and it is given as
[tex]h(t) = -4.9 t^2 + 20t + 65[/tex]
here we can write it as
[tex]h(t) - 65 = 20 t + \frac{1}{2}(-9.8) t^2[/tex]
now we can compare it with the kinematics equation
[tex]y(t) - y_o = v_i t + \frac{1}{2}at^2[/tex]
now if we compare the two equations then we will have
initial height of object = 65 m
initial velocity of projection = 20 m/s
acceleration = - 9.8 m/s/s
now for the maximum height at which its final speed will become zero is given as
[tex]v_f^2 - v_i^2 = 2a(h - h_o)[/tex]
[tex]0 - 20^2 = 2(-9.8)(h - 65)[/tex]
[tex]-400 = -19.6(h - 65)[/tex]
[tex]h = 85.4 m[/tex]
So maximum height in meter in nearest integer will be 85 m
Sound waves travel through air in a pattern of squeezing in and spreading out.
True
False
HELP PLEASE! im stuck Solve 4cos2A = 3cosA for 90º≤A≤180º. (Enter only the number.) PLEASE I NEED IT ...?
What is the efficiency of a device that gives you 10 units of useful energy for every 100 units you put in it?
A. 1
B. 0.5 What is the efficiency of a device that gives you 10 units of useful energy for every 100 units you put in it?
A. 1
B. 0.5
Answer: 0.1
Explanation:
i have this question and it’s the only answer not listed.
does the term indivisible still describe the atom
Niagara Falls is a good example of
a.
kinetic energy being converted into potential energy.
b.
potential energy being converted into kinetic energy.
c.
energy being lost.
d.
energy being created.
the train accelerates from 30 km/h to 45 km/h in 15 secs. a. find its acceleration. b. distance it travels during this time ...?
Answer :
(a) The acceleration is, [tex]0.278m/s^2[/tex]
(b) Distance it travels during this time is, 156.225 m
Solution for part (a) :
Formula used :
[tex]a=\frac{v-u}{t}[/tex]
where,
a = acceleration
v = final velocity = [tex]45Km/hr=45\times \frac{5}{18}=12.5m/s[/tex]
u = initial velocity = [tex]30Km/hr=30\times \frac{5}{18}=8.33m/s[/tex]
t = time = 15 s
Now put all the given values in the above formula, we get
[tex]a=\frac{(12.5-8.33)m/s}{15s}=0.278m/s^2[/tex]
Therefore, the acceleration is, [tex]0.278m/s^2[/tex]
Solution for part (b) :
Formula used :
[tex]s=u\times t+\frac{1}{2}a\times t^2[/tex]
where,
s = distance traveled
Now put all the given values in this formula, we get
[tex]s=(8.33m/s)\times (15s)+\frac{1}{2}\times (0.278m/s^2)\times (15s)^2=156.225m[/tex]
Therefore, the distance it travels during this time is, 156.225 m
The acceleration of the train is 0.278 m/s² and the distance traveled by the train is 156.23 m.
The given parameters;
initial velocity of the train, u = 30 km/h = 8.33 m/sfinal velocity of the train, v = 45 km/h = 12.5 m/stime of motion, t = 15 sThe acceleration of the train is calculated by using the kinematic equation as follows;
[tex]a = \frac{\Delta v}{\Delta t}= \frac{12.5 - 8.33}{15} = 0.278 \ m/s^2[/tex]
The distance traveled by the train is calculated using the third kinematic equation as shown below;
v² = u² + 2as
[tex]s = \frac{v^2 - u^2}{2a} \\\\s = \frac{(12.5)^2 - (8.33)^2}{2(0.278)} \\\\s = 156.23 \ m[/tex]
Thus, the acceleration of the train is 0.278 m/s² and the distance traveled by the train is 156.23 m.
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Explain what it means when we say a substance is magnetic.
Answer:
the substance that produces the magnetic field.
Explanation:
The height of a helicopter above the ground is given by h = 2.80t3, where h is in meters and t is in seconds. At t = 1.55 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground? ...?
Answer:
The time is 4.692 sec.
Explanation:
Given that,
Height [tex]h = 2.80t^3[/tex]
Time t = 1.55 s
We know that,
The rate of change of height is the velocity.
So, the velocity is at t = 1.55 s
[tex]\dfrac{dh}{dt}= v = 3\times2.80\times(1.55)^2[/tex]
[tex]v=20.181\ m/s[/tex]
The velocity is upward with respect to the ground
We need to calculate the distance above the releasing point
Using equation of motion
[tex]v^2=u^2-2gs[/tex]
Put the value into the formula
[tex]s=\dfrac{v^2}{2g}[/tex]
[tex]s=\dfrac{20.181^2}{2\times9.8}[/tex]
[tex]s=20.77\ m[/tex]
The height of the helicopter releases a small mailbag
[tex]h=2.80\times(1.55)^3[/tex]
[tex]h = 10.43\ m[/tex]
We need to calculate the time
Using equation of motion
[tex]s=ut-\dfrac{1}{2}gt^2+h[/tex]
Put the value into the formula
[tex]0=20.77\times t-\dfrac{1}{2}\times9.8\times t^2+10.43[/tex]
[tex]t=-0.454,4.692[/tex]
On neglecting negative value of time
Hence, The time is 4.692 sec.
All simple machines are variations of two basic machines.
True
False
...?
Simple machines are not variations of two basic machines; there are actually six types of simple machines: levers, pulleys, screws, inclined planes, wedges, and wheels and axles.
Explanation:False. Simple machines are not variations of two basic machines. In fact, there are six types of simple machines: levers, pulleys, screws, inclined planes, wedges, and wheels and axles.
A machine has a mechanical advantage of 4.5. What force is put out by the machine if the force applied to the machine is 800 N?
A-0.006 N
B-180 N
C-805 N
D-3600 N
The correct answer to the question is D).3600 N.
CALCULATION:
As per the question, the mechanical advantage of the machine MA = 4.5.
The force applied to the machine [tex]F_{i} =\ 800\ N[/tex].
We are asked to calculate the output force of the machine .
Let the output force is denoted as [tex]F_{o}[/tex].
The mechanical advantage of a machine is defined as the force amplification of a machine by using certain mechanical devices.
Mathematically it is defined as the ratio of output force to the applied or input force.
Hence, mechanical advantage MA = [tex]\frac{f_{o}} {f_{i}}[/tex]
Hence, the output force is calculated as -
[tex]f_{0}=\ MA\times f_{i}[/tex]
[tex]=\ 4.5\times 800 N[/tex]
[tex]=\ 3600\ N[/tex] [ANS]
Hence, the output force is 3600 N.
Answer:
The answer is d
Explanation:
Victoria has a crate of vegetables that weighs 100 newtons she exerts a force of 100 Newtons to lift the crate with a pulley what's the mechanical advantage in this situation.
Less than 1
Equal to 1
Equal to 0
More than 1
By definition, the mechanical advantage is the relationship that exists between the output force or load lifted and the value of the force applied.
Thus, using the definition, we have that the mechanical advantage is given by:
[tex] MA = \frac{100}{100}
MA = 1
[/tex]
Therefore, the mechanical advantage of lifting the box by using a pulley is equal to 1.
Answer:
The mechanical advantage in this situation is:
Equal to 1
what is the hottest plant
1. In the circuit shown below, with each bulb holding a resistance of 100 ohms, how many amps of current are flowing? Express your number as a decimal. (See Figure)
2. Protons have positive charge, neutrons have negative charge, and electrons have no charge.
A. True
B. False
3. A complete electric circuit includes a voltage source, current, wires, and something to _________ the flow of current.
These are 3 questions and 3 answers.
Question 1.
Answer: I = 0.01 A
Explanation:
a) Data:
i) Type of circuit: series
ii) R₁ = 100 Ω
ii) R₂ = 100 Ω
iii) V = 2 V
iv) I = ?
b) Formulas
i) Equivalent resistance, R = R₁ + R₂
ii) Ohm's law, V = IR
c) Solution
i) R = 100Ω + 100Ω = 200Ω
ii) I = V / R = 2 V / 200Ω = 0.01 A
Question 2)
Answer: False.
Explanation:
The nuclear model of the atom states that the atom is neutral, and consists of a nucleus, which holds the protons and the neutrons, and the electrons which are around the nucleous (in regions called orbintals).
The electrons are negatively charged and the protons are positively charged.
The magnitudes of the charges of both electrons and protons are equal.
Therefore, for the atom be neutral, the neutrons cannot have charge.
Question 3.
Answer: oppose (or resist).
Explanation:
1) The most basic electrical circuit consists of a 1) potential difference (voltage) source, which gives the "impulse" to the charge to flow, 2) the wire, which is the medium through which the charge flows), and 3) a resistor.
The resistor is the element with "resistance" to the flow of charge, this is it resists or oppose the flow of charge.
Some components, like motors, filaments, buzzers, which content or are resistors per se, transform the current (flow of charge) in other useful forms of energy (motion, light, heat, sound).
The resistor meets Ohm's law which states R = V / I, at constant temperature.
As objects grow farther apart, what happens to the force of gravity between them?