The required velocity at the end of 3.7 sec, when acceleration of the car is given is calculated to be 22.2 m/s.
It is said that the car is starting from stationary position. So, initial velocity u = 0.
Acceleration of the car is given as, a = 6 m/s²
Time taken t = 3.7 sec
The velocity at the end of this time is to be found out.
v = ?
We know the expression for acceleration as,
a = (v - u)/t
Making v as subject, we have,
v - u = a t
v = u + a t = 0 + 6(3.7) = 22.2 m/s
Thus, the velocity at the end of 3.7 sec is calculated to be 22.2 m/s.
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A swimmer swimming 2.30 m/s jumps out horizontally from the starting blocks and reaches the water below 1.50s later. How far from the base of the starting block does the swimmer land in the water?
Answer:
Explanation:
We know that distance can be calculated using the formula:
d = v0 * t + 0.5 * g * t^2
where v0= intial velocity
t=fall time
g= free fall acceleration
Now as per the question:
initial velocity v0 = 2.30 m/s
time t = 1.50 s
Free fall acceleration g = 9.8 m/s^2
d= v0 * t + 0.5 * g * t^2
distance = 2.30 * 1.50 + 0.5 * 9.8 * 1.50^2
distance = 3.45 + 14.7
d = 18.15 m
Therefore, the swimmer lands 18.15 meters from the base of the starting block.
according to stefan's law, if you have stars which are identical, except that one is 4 times hotter than the other, how much more light is emitted by the hotter star?
The radiation radiated from an area A on a black body at actual temperature T is directly in proportion to the fourth power of a temperature, according to Stefan Boltzmann's law.
What significance do ratio and proportion have?
The ratio and ratio are important building blocks for understanding the numerous ideas in science and mathematics. Several challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship among two or more numbers and aids in comparing them.
What would a proportional statement look like in practice?
For instance, the proportion statement for the ratio 45 is 20/25 = 45. This proportional statement can be solved to yield: The relationship between two quantities, such as a:b, when b is not equal to 0, is thus defined by the ratio. Example: 2:4 = 1:2 is used to show the proportion of 2 to 4. Here, it is claimed that the statement is in proportion.
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Light of wavelength 575 nm falls on a double-slit and the third order bright fringe is seen at an angle of 6.5o. What is the separation between the double slits?
The separation between the double slits is 0.0506 mm.
What is interference?Interference in physics is a phenomena when two waves merge by adding their displacements at each and every point in space and time to produce a new wave that has a higher, lower, or identical amplitude.
The angular separation is = 6.5° = 6.5 × π/180
Wavelength of light is = 575 nm = 575 × 10⁻⁹ m
Let the separation between the double slits = d m.
Then;
6.5 × π/180 = 575 × 10⁻⁹/d
d = 5.06 × 10⁻⁶ meter
= 0.0506 mm.
Hence, the separation between the double slits is 0.0506 mm.
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We fear too little those events that will claim lives. A) accidentally. *B) undramatically. C) in the near future. D) one person at a time.
We fear too little for all those events that will claim lives undramatically.
Fear is an extremely unpleasant feeling that occurs when one perceives or recognizes a threat or danger. Fear results in physiological alterations that might result in behavioral responses like mounting an aggressive defence or running away from the threat.
Our physical, emotional, or let us consider psychological health may be at risk. While most of us have particular things that make us fearful, we can learn to be scared of almost anything that are around us.
Cortisol and adrenaline, two stress hormones, are released. Your heart rate and blood pressure rise. Your respiration quickens. Even your blood supply alters; blood actually moves out from your heart and towards your limbs, facilitating the initiation of punches or other physical attacks.
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g you have a gun that shoots a bullet at a speed 144 m/s. you are standing at a distance of 33 m from a building, and your gun is 5.7 m above the ground. you aim your gun at an angle 33 degrees above the horizontal. how high (from the ground) will the bullet hit the wall of the building? ignore air resistance.
It is not speeding up. It will therefore move 6 meters per second. The speed would have increased by 6 m/s per second if the item had been accelerating and the speed had been in the plane of the speed.
Is anything moving at a steady rate accelerating?an object is moving at a constant speed, can it accelerate Yup Many individuals initially find this counter-intuitive because they overlook the fact that acceleration can still occur even when an object maintains a constant speed.
If constant acceleration, does that mean 1?A motion of an object that does not alter over time is referred to as a constant acceleration. A car's average speed increases if it goes from 20 mph to another 20 mph in a minute.
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A 4. 0 m long steel beam with a cross-sectional area of 1. 0 x102m2 and a Young's modulus
of 2. 0 x10' N/m 2 is wedged horizontally between two vertical walls. In order to wedge the
beam, it is compressed by 0. 020 mm. If the coffecient of static friction between the beam
and the walls is 0. 70, the maximum mass (including its own) it can bear without slipping
is:
The required maximum mass that the beam can bear without slipping is 14.163 kg.
The maximum mass that a 4.0 m long steel beam with a cross-sectional area of 1.0 × 10²m² and a Young's modulus of 2.0 × 10' N/m² can bear without slipping when wedged horizontally between two vertical walls and compressed by 0.020 mm, assuming a coefficient of static friction of 0.70, is calculated as follows,
Force of friction = coefficient of static friction × normal force = Area of beam × Young's modulus × compression
Therefore, the force of friction = 0.70 × (1.0 × 10² m²) × (2.0 x10' N/m²) × 0.020 mm
Maximum mass = (force of friction) / (acceleration due to gravity)
Therefore, the maximum mass that the beam can bear without slipping is (0.70 × (1.0 × 10² m²) × (2.0 × 10' N/m²) × 0.020 mm) / (9.81 m/s²) = 14.163 kg.
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Help please!!!! Why is it especially important to not waste energy from fossil fuels?
They have a limited supply in nature, therefore if they are used excessively, they will become exhausted.
What is the fossile fuel?Today, we recognise that using fossil fuels has a negative impact on the environment. Fossil fuels produce and utilise local pollutants, and their continued use permanently alters the temperature of our entire world.
Wastes from combustion sources are those that result from carbon pollution (i.e., coal, oil, natural gas). Included in this are all ash and particles taken out of the flue gas.
The fossile fuel is limited in nature. So, it should not waste energy from fossil fuels.
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a block of unknown material has a mass of 887.6 g. it measures 7.31 cm x 4.24 cm x 2.15 cm. what is the density of the block? give answer in units of g/cm3 and remember correct significant figures.
The density of the block can be calculated using the equation density = mass / volume.
In this case, the mass is 887.6 g and the volume is 7.31 cm x 4.24 cm x 2.15 cm, which results in a density of 89.9 g/cm3.
The density of a material can be used to identify what it is made of, and can also be used to estimate its strength and other properties. It is an important factor to consider when designing and constructing objects, as the density of a material affects how much it weighs, how much it can support, and how much it will cost. The density of a material varies depending on factors such as temperature, pressure, and composition.
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the force between two charges is 10 n. if the distance between the two charges is tripled and both of the charges are tripled, what is the resulting force between the two charges?
Coulomb's Law states that the force exerted between two electric charges is negatively correlated to their square of distance. As a result, if the range is doubled, its force will be nine times weaker.
What Exactly Is a Distance?Distance can be defined as the amount of space an object has covered, regardless of its start or ending position.
Keep in mind that distance between two points and the distance travelled between them are not the same.
How do forces work?A pressure is the modification of an object's state brought on by its surroundings. Forces will cause an object.
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under what situation would the instantaneous velocity of an object differ from the average velocity?
The instantaneous velocity of an object can differ from its average velocity if the object is accelerating, that is, if its velocity is changing with time.
What is instantaneous velocity?
Instantaneous velocity is the speed of an object at a specific moment in time. It is the limit of the average velocity over an infinitesimal time interval as the interval approaches zero. In other words, it is the rate of change of an object's position with respect to time at a specific moment.
Average velocity is calculated as the total displacement divided by the time interval, but it does not take into account changes in velocity that occur during that time interval. In contrast, instantaneous velocity is the velocity of an object at a particular moment in time, and it can be different from the average velocity if the object's velocity changes over time.
Therefore, The instantaneous velocity of an object can differ from its average velocity if the object is accelerating, that is, if its velocity is changing with time.
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What is the speed of a moon with a period of 20 hours that is orbiting a planet of radius R at a distance 5 R from the planet's center?
A) 26,000/πR m/s
B) πR/36,000 m/s
C) R/3,600π m/s
D) πR/7,200 m/s
E) π^2R/720 m/s
*I know the answer is D, but could someone please show work on how they arrived at that conclusion? Thank you!
Answer:
D) πR/7,200 m/s
Explanation:
Let's call the speed of the moon "v".
We know that the period (T) of the moon is given by: T = 20 hours = 20 hours * 3600 seconds/hour = 72000 seconds
We can relate the speed of the moon to its period and distance using the formula:
v = 2πR/T, where R is the distance of the moon from the center of the planet.
In this case, the distance is 5R, so:
v = 2π(5R)/T
= 2π(5R)/72000 seconds
= (πR)/7,200 seconds
So the speed of the moon is (πR)/7,200 m/s.
Therefore, the answer is D) πR/7,200 m/s.
wo identical particles of charge 1.6 mc and mass 37 g are fixed in space, separated by 5 m. if one particle is now released, calculate its speed at an infinite distance from the other fixed charge.
The speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.
The speed of a particle at an infinite distance from another fixed charge can be calculated using the concept of electrostatic energy.
The initial electrostatic energy of the two particles is given by:
U = k * q1 * q2 / r
where k is Coulomb's constant (8.98 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles (1.6 * 10^-6 C), and r is the distance between them (5 m).
The initial potential energy of the released particle is equal to its initial electrostatic energy:
U = (1/2) * m * v^2
where m is the mass of the particle (37 g) and v is its speed.
Solving for v, we have:
v = √(2 * U / m) = √(2 * k * q1 * q2 / (m * r)) = √(2 * 8.98 * 10^9 * 1.6 * 10^-6 * 1.6 * 10^-6 / (37 * 10^-3 * 5)) = 8.07 * 10^3 m/s
Therefore, the speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.
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which type of door that rotates in a circular frame can be dangerous during a fire situation because it may prevent the movement of hose and equipment into the building?
Revolving doors have three or four leaves (or wings) that are centered on a vertically oriented central pivoting shaft. These are contained in a spherical enclosure having openings on the interior and outside to permit movement when the door rotates within the enclosure.
Revolving doors can be run either manually or mechanically.If something is a "revolving door," it means that people or other items are constantly coming and going rather than remaining in one place: Ten directors came and departed over a twelve-year period, making the department a revolving door for senior executives.
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Which of the following is true for an open system?
I Matter is able to freely enter or exit the system.
II Heat is able to freely enter or exit the system.
III Work is able to freely enter or exit the system.
Group of answer choices
I, II, or III
II only
I only
None of the above
In an open system, Matter, heat and work are able to freely enter or exit the system. Hence, option (A) is correct.
What is open system?A system that interacts with the outside world is an open system. Depending on the field that defines the term, these interactions can involve the transfer of information, energy, or materials into or out of the system border.
An isolated system, which does not exchange energy, matter, or information with its surroundings, is contrasted with an open system. A flow system is another name for an open system. Hence, option (A) is correct.
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a swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. what is the mass of water in the pool?
volume of the pool= area of trapezium × breadth , the mass of water in the pool is = 144000.
How many grams of water are there?One H2O molecule weighs 18.02 amu on average.The number of atoms and molecules is an exact number; neither of these factors affects the amount of significant figures.An average mole of water weighs 18.02 grams.It is reported that water has a molar mass of 18.02 g/mol.
How much water does one milliliter weigh?Answer and justification One gram of water makes up one milliliter.Since water has a density of 1 g/ml, 1 ml of volume of water corresponds to 1 g of mass.
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what is the momentum of a 20kg dog running at 12 meters per second
Answer:
Explanation:
Momentum (p) = mass(m) x velocity(v)
v = 12m/sec , m= 20kg
p=20*12 = 240 kg m s−1 or 240 Ns
after a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? assume that the package, like the plane, has an initial velocity of 482 km/hour in the horizontal direction.
Therefore the speed at the ground is 185. 3 m/s.
horizontal speed = 485 km/hr
= 485 * (5/18)
= 134.72m/s
h = 875 m
g = 9.8 m/s^2
a) Using formula,
h = (1/2) gt^2
875 = (9.8/2) t^2
t = 13.36 seconds
b)
D = u * t
D = 131.11 * 13.36
D = 1751.64 m
D = 1.75 km
c) when it lands on the ground
Vx = 131.11 m/s
Vy = gt
= 9.8 * 13.36
= 130.9 m/s
Therefore the speed at ground = [ 131.11^2 + 130.9^2]^(1/2)
= 185. 3 m/s
The pace is the directional speed of an item in motion as a demonstration of its price of alternate in the role as observed from a specific body of reference and as measured via a particular widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.
Velocity is a bodily vector amount; each significance and route are needed to define it. The scalar absolute value (significance) of speed is known as velocity, being a coherent derived unit whose quantity is measured inside the SI (metric device) as meters in step with second (m/s or m⋅s−1). as an example, "5 meters in step with 2d" is a scalar, whereas "5 meters consistent with 2nd east" is a vector. If there is a trade-in velocity, route, or each, then the object is stated to be present process an acceleration.
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A charge of 0. 00005 C and a charge of 0. 00003 C are separated by 1. 8 m What is the force between the two charges?
The required force between the two charges, when the distance between them is specified is calculated to be 416.67 N.
The charge q₁ is given as 0. 00005 C.
The charge q₂ is given as 0. 00003 C.
The separation (r) between the two charges is given as, 1.8 m.
The expression to find out the force between two charges is given as,
F = k q₁ q₂/r²
where,
k is relative permittivity (9 × 10⁹N)
q₁, q₂ are charges
r is separation between charges
Substituting the known values,
F = k q₁ q₂/r² = (9 × 10⁹× 5 × 10⁻⁴ × 3 × 10⁻⁴)/1.8² = 1350/1.8² = 416.67 N
Thus, the required force is calculated to be 416.67 N.
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A ball is thrown from a window 2.1m above the ground with a initial velocity of 18m/s (37 degrees above horizon). How far was the ball thrown? What is the maximum height of the ball?
The ball was thrown a total distance of 52.7 meters. The maximum height of the ball is 8.8 meters.
What is the distance ?The distance refers to the amount of space between two points. It is typically measured in units of length such as meters, kilometers, or miles. Distance can also be measured in terms of time, as in the distance between two points in terms of the amount of time it takes to travel between them. Distance is an important concept in mathematics and can be used to calculate the length of a line, the area of a shape, or the volume of an object.
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a block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:
1. The spring force constant that attach a block with a mass of 0.3 kg = 15 N/m
2. The amplitude of the motion = 1.85 m
3. The maximum speed of the block during its motion = 6.9 m/s
4. The maximum magnitude acceleration of the block's acceleration during its motion = 92.5 m/s²
The force a spring applies to objects fastened to its ends is proportional to the distance the spring travels from its equilibrium length and is always pointed in the direction of equilibrium. F = -kx. The term "spring constant" refers to the proportional constant k.
The block's weight and the spring's force are equal:
F = -kx
ma = -kx
Hence,
1.
The spring force constant (k) = - (ma) / x
= - (0.3 x (-12) / 0.24
= 15 N/m
The total energy system:
E = [tex]\frac{1}{2}[/tex] (mv² + kx²)
= [tex]\frac{1}{2}[/tex] {(0.3 x 4)² + (15 x 0.24)²}
= 7.2 J
2.
The amplitude of the motion =
E = [tex]\frac{1}{2}[/tex] (mv² + kA²)
A = [tex]\sqrt{E^{2}/k }[/tex]
= [tex]\sqrt{\frac{(7.2)^{2} }{15} }[/tex]
= 1.85 m
3. The maximum speed of the block during its motion
E = [tex]\frac{1}{2}[/tex] mv² + 0
v = [tex]\sqrt{\frac{2E}{m} }[/tex]
= [tex]\sqrt{\frac{2(7.2)}{0.3} }[/tex]
= 6.9 m/s
4. The maximum magnitude acceleration of the block's acceleration during its motion =
ma = kA
a = kA/m
= (15 x 1.85) / 0.3
= 92.5 m/s²
The question is incomplete, it should be:
A block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:
1. What is the spring's force constant k?2. What is the amplitude of the motion?3. What is the maximum speed of the block during its motion?4. What is the maximum magnitude of the block's acceleration during its motion?
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a solid uniform ball of mass m and radius r rolls without slipping down a ramp from height h. how fast is the ball going at the bottom of the ramp?
The ball will be moving at a velocity of 14.0 meters per second when it reaches the bottom of the ramp.
The velocity of the ball at the bottom of the ramp can be determined using the principle of conservation of energy. The potential energy of the ball at the top of the ramp will be converted into kinetic energy as it rolls down the ramp.
Potential energy = mgh
Kinetic energy = (1/2)mv²
At the bottom of the ramp, all of the potential energy has been converted into kinetic energy, so the equation can be written as:
mgh = (1/2)mv²
Solving for v, we have:
v = √(2gh)
where g is the acceleration due to gravity (9.8 m/s²). So, given the height h, we can calculate the velocity of the ball at the bottom of the ramp.
Let's assume the height of the ramp is h = 10 meters. Then, the velocity of the ball at the bottom of the ramp can be calculated as:
v = √(2gh) = √(2 × 9.8 m/s² × 10 m) = √(196 m²/s²) = 14.0 m/s
So, the ball will be moving at 14.0 meters per second when it reaches the bottom of the ramp.
It's important to note that the ball is rolling without slipping, meaning that its velocity is due to both its rotational motion and its translation. The velocity of the center of mass of the ball at the bottom of the ramp will be equal to the calculated velocity.
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an earth satellite moves in a circular orbit at a speed of 5500 m/s . part a what is its orbital period?
According to the solving using gravitational law the earths its orbital period = 5.6 hours.
What does the gravity principle mean?Every particle in the universe is drawn to every other component with a force that is directly related to the product between their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation. As a result, the general gravitation equation takes shape. F ∝ m 1 m 2 r 2.
What precisely is the first law of gravitation?Newton's first law asserts that an object at rest will stay at rest and also an object in motion will keep moving at a fixed pace unless they are both subject to a net external force.
According to the given information:The strength of attraction between two particles can be expressed as follows, according to Newton's gravitational law:
F = [tex]G\frac{M_1M_2}{R^2}[/tex]
speed of satellite = v = 5000 m/s
mass of earth = M = 6 × 10²⁴ kg
orbital period = T = ?
∑F = ma
[tex]G\frac{mm_2}{R^2}[/tex] = M[tex]\frac{v^2}{r}[/tex]
Substituting the value we get:
T = 2πG[tex]\frac{M}{v^3}[/tex]
T = 2π × 6.67 × 10⁻¹¹ [tex]\frac{ 6 * 10^2^4}{5000^3}[/tex]
T = 20116s
T = 5.6 hours.
According to the solving the earths its orbital period = 5.6 hours.
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find the boyant force acting on when submerged in mercey given the density of the density of the mercery is 13,600 kg/m^3
The buoyant force acting on the object submerged in mercury is 133,176 V N/m^3.
What is Buoyant force?
The buoyant force is caused by the pressure difference that exists between the top and the bottom of an object immersed in a fluid. The pressure at the bottom of the object is greater than the pressure at the top, due to the weight of the fluid above it. This difference in pressure creates an upward force, which is called the The buoyant force acting on the object submerged in mercury is 133,176 V N/m^3.
Buoyant force = weight of displaced fluid
The weight of the displaced fluid is equal to the density of the fluid times the volume of the displaced fluid times the acceleration due to gravity (9.81 m/s^2).
Let's assume that the object has a volume of V and a weight of W.
Since the object is submerged in mercury, the weight of the displaced mercury is equal to the weight of the object (W), so we can write:
Weight of displaced fluid = W
Density of mercury = 13,600 kg/m^3
Volume of displaced fluid = V
Acceleration due to gravity = 9.81 m/s^2
Therefore, the buoyant force acting on the object is:
Buoyant force = Weight of displaced fluid
= Density of fluid x Volume of displaced fluid x Acceleration due to gravity
= 13,600 kg/m^3 x V x 9.81 m/s^2
= 133,176 V N/m^3
So, the buoyant force acting on the object submerged in mercury is 133,176 V N/m^3.
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I need help in this
Answer:
D
Explanation:
I believe it is D, which is the resultant of the vector addition of B and E
correct application of fermats theorem to fluid dynamics
Fermat's Theorem states that the path taken by a wave traveling from one point to another in a medium is the path that takes the least time, which is applicable in fluid dynamics to explain why fluids tend to follow the path of least resistance.
Fermat's theorem, also known as the "principle of least time," states that the path taken by a wave traveling from one point to another in a medium is the path that takes the least time.
In fluid dynamics, this principle is used to explain why fluids tend to follow the path of least resistance, as they seek to minimize the time it takes to move from one point to another. This results in the fluid flowing along the path of least energy, which is also known as the path of least resistance. The principle of least time is used to predict the behavior of fluids under different conditions, and it is an important concept in the field of fluid dynamics.
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What effect does increasing volume have on equilibrium?
As the volume rises, the equilibrium shifts to the left, favoring the reactants. As the volume is decreased, the equilibrium will shift toward the component of the reaction in which there are fewer moles.
What causes an unstable equilibrium?An object is considered to be operating in unstable equilibrium when ever a destructive force is applied if the center of mass is lowered and the object moves from its starting position.
Why is equilibrium such a priority?Equilibrium is important for understanding chemical processes since it tells us how the reaction will proceed. We can control the reaction's parameters to help the creation of desirable products while it is in equilibrium. It is also used to calculate the final reaction mixture's composition.
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the behavior of a non-linear spring is described by the relationship , where x is the displacement from the equlibrium position and f is the force exerted by the spring. how much potential energy is stored in the spring when it is displaced a distance x from equilibrium?
The potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is [tex]U = (k/4)x^4.[/tex]
The potential energy stored in a spring can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its potential energy. If the spring is displaced a distance "x" from the equilibrium position, the force exerted by the spring is given by the equation[tex]f = kx^3[/tex], where "k" is a constant of proportionality. The work done on the spring as it is displaced a distance "x" is given by the equation [tex]W = ∫f dx = ∫kx^3 dx.[/tex]
To find the potential energy stored in the spring, we can evaluate the definite integral:
U =[tex]∫kx^3 dx = (k/4)x^4 + C,[/tex]
where "C" is a constant of integration. The constant "C" can be determined by specifying the potential energy to be zero when the spring is at its equilibrium position, so that U = 0 when x = 0. This gives us:
[tex]C = -(k/4) * 0^4 = 0[/tex],
So the potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is:
[tex]U = (k/4)x^4.[/tex]
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A 12.5 kg ball moving to the right at 4 m/s strikes a 10 kg ball at moving at 2m/s to the left. After the collision the 12.5 kg ball is moving with a velocity of 1.6 m/s to the left and the 10kg ball moving at 5 m/s to the right . Is momentum conserved? Show your calculations on a half sheet of paper, then explain your thinking here.
Momentum is conserved in this collision.
How The answer was obtainedMomentum is conserved in this collision. To show this, we can calculate the initial momentum of the system and compare it to the final momentum.
Initial momentum:
12.5 kg * 4 m/s + 10 kg * -2 m/s = 50 kg m/s
Final momentum:
12.5 kg * -1.6 m/s + 10 kg * 5 m/s = 50 kg m/s
As we can see, the initial momentum is equal to the final momentum, so momentum is conserved in this collision.
This is because momentum is a conserved quantity, which means that it can be neither created nor destroyed, only transferred from one body to another. In this case, the momentum of the 12.5 kg ball was transferred to the 10 kg ball, and the final result was that the momentum of the system remained unchanged.
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Stretch:
A) How many waves are on the diagram
diagram?
B) What is the time period of the wave
C) What is the frequency of the wave
(a) The number of waves on the diagram is 2.
(b) The period of the of the oscillation of the wave is 0.4 second.
(c) The frequency of the wave is 2.5 Hz.
How many waves are on the diagram?
The number of waves on the diagram is determined by calculating the number of cycles.
number of waves = 2
The period of the of the oscillation of the wave or the time taken to make a complete cycle is calculated as;
T = 0.4 seconds
The frequency of the wave is the reciprocal of the period of the wave and it is calculated as follows;
f = 1/T
f = 1 / 0.4
f = 2.5 H
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5. A mixture of fuel and air is enclosed in an engine cylinder fitted with a piston. The gas pressure is maintained at 7.07 × 10^5 Pa as the piston moves slowly inward. If the gas volume decreases by 1.1 × 10^−4 m^3 and the internal energy of the gas increases by 62 J, how much energy is added to or removed from the system as heat?
The energy that is removed from the system as heat is 139.8 J.
What is the internal energy?
Internal energy is the total energy of a thermodynamic system, including the kinetic energy of its constituent particles and their potential energy due to their relative positions and interactions. It is a measure of the total thermal energy of a system and is a function of temperature, pressure, and volume.
We know that the work done can be obtained by the use of the equation;
w = PΔV
Then
w = 7.07 × 10^5 * 1.1 × 10^−4
w = 77.8 J
Then we have that;
E = q + w
-62 J = q + 77.8
q = 77.8 + 62
= 139.8 J
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