The mass of the bullet is 9.7 grams.
As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.
i.e.ME = KE + PE
As given in the problem bullet is fired into a large stationary absorber and comes to rest. So PE = 0.
Temperature measurements of the absorber show that the bullet lost 1729 J of kinetic energy and high-speed photos of the bullet show that it was moving at 597 m/s just as it struck the absorber.
We know that KE = [tex]\frac{1}{2} mv^{2}[/tex], where
KE = kinetic energy = 1729J
m = mass
v = velocity = 597 m/s
Putting these values in above equation we get, m = 9.7 grams
So, the mass of the bullet is 9.7 grams.
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Matt decides to stage dive into the mosh pit. If the stage is 2.5 m above the crowd and he jumps with a horizontal velocity of 2m / s how far from the stage will he land in the crowd
Distance Matt will land 1 m away from the stage.
What is Distance?Distance is a numerical measurement of how far apart two objects or points are in space. It is usually measured in linear units such as meters, miles, or kilometers. Distance can also be measured in angular units such as degrees or radians. Distance can be measured in both two-dimensional and three-dimensional space. In two-dimensional space, distance is measured along the x-axis and y-axis. In three-dimensional space, distance is measured along the x-axis, y-axis, and z-axis.
The horizontal distance traveled by Matt can be calculated using the equation:
d = v * t
where d is the distance, v is the velocity, and t is the time.
In this case, v = 2 m/s and t = the time it takes for Matt to fall 2.5 m. This can be calculated using the equation:
d = g * t^2 / 2
where g is the acceleration due to gravity, which is 9.8 m/s^2.
Plugging in the values, we get:
t = sqrt(2*2.5/9.8) = 0.5 seconds
Therefore, the distance traveled horizontally can be calculated as:
d = 2 * 0.5 = 1 m
Therefore, Matt will land 1 m away from the stage.
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When hydrogen is fused into helium, energy is released from a. gravitational collapse. b. conversion of matter to light energy. c. the increase in pressure. d. the decrease in the gravitational field
Option B; When hydrogen is fused into helium, energy is released from conversion of matter to light energy.
In order for different types of light to be visible to human eyes, light energy must be converted into a different kind of kinetic energy. A heated object such as a laser, a lightbulb, or the sun emits light, which is an electromagnetic radiation.
Photons are little energy packets that are present in light. Photons are created when the atoms of an object are heated; this is the way photons are created. The heat excites the electrons, who then get additional energy as a result. As the substance gets hotter, more photons emerge as the energy is released in the form of a photon.
The way that light moves as it moves is as a wave. The need to transport energy is necessary regardless of the situation.
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what is the energy in joules of one photon of x-ray radiation with a wavelength of 0.120 nm?
The energy of one photon of x-ray radiation with a wavelength of 0.120 nm is 1.65 × 10⁻¹⁵ Joule.
What is photon energy?
The energy that a single photon carries is known as photon energy. Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon.
Given that wavelength of photon is 0.120 nm.
Then, energy of photon is= hc/λ
= (6.6×10⁻³⁴×3×10⁸)/(0.120×10⁻⁹ Joule.
= 1.65 × 10⁻¹⁵ Joule.
Hence, the energy of photon is 1.65 × 10⁻¹⁵ Joule.
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a 3030 cm wrench is used to loosen a bolt with a force applied 0.30.3 m from the bolt. it takes 6060 nn to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 3030 degree angle from perpendicular?
The force required is 69 N at the given angle, perpendicularly, by using the formula of Torque, to loosen the bolt.
What is Torque?
The rotational counterpart of linear force is torque. Depending on the subject of study, it is also known as the moment, moment of force, rotating force, or turning effect. It depicts how a force can cause a change in the body's rotational motion.
What is Force?An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Calculations:
Given,
Force = 60N
Angle = 30°
Radius = 0.3m
The torque required to loosen the bolt = Torque = r * F
= 0.3 * 60
= 1.8Nm
To obtain the same torque but with a 30° angle
Torque = F ( 0.3 * cos 30)
1.8Nm = F ( 0.3 * cos 30)
F = 1.8Nm/ F ( 0.3 * cos 30)
F= 69N.
Hence, the force required is 69 N at the given angle, perpendicularly.
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a microscope stage must have an opening. true or false please guys answer nicely i really need my answer
Indeed, a microscope stage needs to have a hole in it. There must be an aperture in the microscope stage. Only clean lenses for microscopes should be cleaned using lens tissue.
Microscope Stages: There are many different types of microscope stages, each of which is created to serve a particular function. Stages with supplementary tools for handling samples while being observed are among them. The lens is a component of the human eye's anterior portion. The iris, which sits in front of the lens and controls how much light enters the eye, controls light refraction. The lens's suspensory ligament, a ring of fibrous tissue that joins the ciliary body to the lens at its equator, holds the lens in place. The vitreous body is located behind the lens.
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at what angle must you aim the gun to hit the bull's-eye in its new position? (mathematically there are two solutions to this problem; the physically reasonable answer is the smaller of the two.)
A target's bull's-eye is struck by the ball at the same height as the gun when the gun is fired at an angle of 30° above horizontal.
What is the relevance of Newton's first law to archery?If you don't release the arrow after loading it into the bow, spring force will not cause it to move forward. After it springs forward, it will continue moving ahead indefinitely until it strikes the target and is impacted by factors like gravity, air resistance, and normal force.
What generates gravity?All of the mass on Earth contributes to gravity. All of its mass exerts a cumulative gravitational force on your body's mass. You gain weight because of that. Moreover, supposing you were located on a planet that had less mass than Earth.
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Tammy and Trish are both helping organize the library. They each take 150 books and line them on the new shelves 10m away. Tammy finishes her stack task in 3.5 hours while Trish requires 2 hours to complete her part.
a. Who does more work, or do they both do the same amount?
b. Who has more power?
c. Explain
a) Both Tammy and Trish do same amount of work.
b) Trish has more power.
What is work?A force must be applied in order for work to be completed, and there must also be motion or displacement in the force's direction. The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item. Work has no direction and only magnitude. Work is a scalar quantity as a result.
What is power?Power is a physical term that can have a variety of interpretations depending on the situation and the information at hand. Power is the quantity of energy consumed per unit of time and can be defined as the rate at which work is done.
As They each take 150 books and line them on the new shelves 10m away. total work of them is same but Trish takes less time, so he has more power.
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in what range of masses are most stars found? in what range of masses are most stars found? 0.1 to 2 solar masses stars can have any mass. 0.1 to 100 solar masses 0.01 to 100 solar masses 1 to 3 solar masses
From 0.08 to 150 (or more) fold the mass of the Sun, stars' masses fall within this range.
What factors affect a star's life span?The mass of a star affects its life cycle. Its life cycle is shorter the greater its bulk. The amount of available stuff in a star's nebula, the enormous cloud of gas and dust in which it was born, determines the star's mass.
Which stars have the most time left in them?The majority of the galaxy's stars are red dwarf stars, but they are too faint to be seen from Earth with the human eye and remain hidden in the background. Their lifespans, which are much longer than that of the sun, are prolonged by their limited brilliance.
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what is the acceleration of an object of mass 4.5 x 10-5 kg with a charge of 9 x 10-9c under the influence of an electric field of magnitude 5000 v/m, assuming gravity is negligible?
The acceleration of the object with mass 4.5 x 10-5 kg and charge 9 x 10-9 C is 8 x 10-4 m/s²
The acceleration of an object in an electric field is given by the equation:
a = (F/m) = (qE/m)
where F is the force acting on the object, m is the mass of the object, q is the charge of the object, and E is the electric field strength.
Therefore, the acceleration of the object with mass 4.5 x 10-5 kg and charge 9 x 10-9 C under the influence of an electric field of magnitude 5000 V/m is:
a = (qE/m) = (9 x 10-9 C x 5000 V/m)/(4.5 x 10-5 kg)
a = 8 x 10-4 m/s²
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chapter 04, problem 030 a space traveler weighs 544 n on earth. what will the traveler weigh on another planet whose radius is 2 times that of earth and whose mass is 4 times that of earth? number units the tolerance is /-5%
He would thus weigh the same as if he were on Earth (544 N). Since the weight of the guy on Earth is the only factor, we may conclude that he also weighs the same on planet B.
Describe Earth;
Earth, the third planet from the sun, is the only place in the known cosmos where the presence of life has been established.
What is Earth composed of?
With a radius of 3,959 miles, Earth is the sixth biggest planet in our solar system. The core, mantle, and crust are the three layers that make up the earth's structure. Sandstone plus obsidian are two metallic materials that represent the majority to our humanity's outermost layer. Oceanic as well as eurasian plate are still the two kinds.
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when poked by a spear, an operatic soprano lets out a 1,100-hz shriek. what is its wavelength if the speed of sound is 344 m/s?
The wavelength of the wave produced by the sound is found as 0.312 m.
Explain the relation of wavelength and velocity?As a result, an increase in just about any one quantity while maintaining a constant value for the other will increase the wave speed, which is mathematically equal to that product of the wave's wavelength and linear frequency.Mathematically: v = fλ;
In which;
v = speed of the waveλ = wavelength of the wavef = frequency of the waveThe given data for the question-
f = 1100 Hz ; frequency of sound
v = 344 m/s; speed of the sound
λ = wavelength of the wave
Put the value in the formula;
344 = 1100 x λ
λ = 344/1100
λ = 0.312
Thus, the wavelength of the wave produced by the sound is found as 0.312 m.
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plane a is flying at 350 mph in the northeast direction relative to the earth. plane b is flying at 460 mph in the north direction relative to the earth. what is the direction of motion of plane b as observed from plane a?
Plae A is flying at 350mph in the northeast direction relative to the earth, meanwhile plan B is flying at 460mph in the north direction. Plane B is observed as it is flying in the northwest direction as observed from plane A.
When the two planes are flying, the speed of the objects are measured relatively to the sureface of the earth are the actual speed of the object.
To solve this case, we will use the relative velocity concept. The relative velocity defines the velocity of an object relative to another object. In this case, we want to know the velocity of Plane B relative to Plane A.
To find the relative velocity of plane B to plane A,we could use formula:
v(BA)² = v(B)² + v(A)² - 2.v(A).v(B).cos45°
where:
v(BA) = velocity of plane B relative to plane A
v(B) = actual velocity of plane B
v(A) = actual velocity of plane A
cos45° = cos of the angle between plane B and plane A's direction
Using the information given, we found that:
v(BA)² = 460² + 350² - 2(460)(350).cos45°
v(BA) ²= 106,411
v(BA) = 326.21 mph
Plane B will be seem as flying with 326.21mph to northwest direction relative to plane A.
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a radio mostly consists of an lc circuit with a variable capacitor. turning the dial of the radio changes the capacitance of the circuit. you hear a radio station when the frequency of the lc circuit matches the frequency of light from the radio station. the variable capacitor in the tuner of an am radio has a capacitance of 1350pf when the radio is turned to a station at 550khz. [10 points] a. what must be the capacitance for a station at 1600khz? [7 points] b. what is the inductance (assumed to be constant)? [3 points]
The capacitance of the circuit is C = 8.382 F
What is an LC circuit ?A signal at a specific frequency can be detected or produced using LC circuits. The most typical use of tank circuits is for tuning radio transmitters and receivers. The LC circuits, for instance, create a resonance for that carrier frequency when you tune a radio to a particular station.
Given : a LC circuit
and the frequency given is 550khz = 550000 Hz
w = 2πf
and w = [tex]\sqrt{\frac{1}{LC} }[/tex]
this implies;
2πf = [tex]\sqrt{\frac{1}{LC} }[/tex]
On squaring both sides we get
4pi^2f^2 = [tex]\frac{1}{LC}[/tex]
thus C = [tex]\frac{1}{4pi^2f^2}[/tex]
after substituting the value in this equation we get;
C = 1/ ( 4 × 3.14 × 3.14 × 550 × 550 )
C = 8.382 F
Thus the capacitance is C = 8.382 F
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a car traveling along a highway needs a certain amount of force exerted on it to stop it in a certain distance. more stopping force is required when the car has question 40 options: less stopping distance. more momentum. more mass. all of these.
Based on the Second Law of Newton, a car traveling along a highway needs more amount of topping force exerted on it to stop when the car has less stopping distance, more momentum, and more mass (D).
Based on the Second Law of Newton, we know that the acceleration of an object is dependent to its resultant force and mass. The second law of Newton could be formulized as:
∑F = m.a
where:
F = the resultant force
m = the object's mass
a = the object acceleration
On the case, we know that a car is traveling along a highway. The car's stopping force will be dependent on the car's mass and its acceleration.
Let's dig deeper on acceleration part.
As we know, based on the linear motion concept, there are some equations to describe relationship between velocity, acceleration, distance, and time. Those equaations are:
v = u + at
s = ut + 1/2 at²
s = 1/2 (u+v)t
v² = u² + 2as
s = vt - 1/2 at²
where:
v = final velocity
u = tnitial velocity
a = acceleration
t = time
s = distance
If we subtitute one of acceleration equation to the second law of Newton, we will get:
F = m.a
v = u + at
a = (v-u)/t
F = m.(v-u)/t
F = mv - mu
t
Based on the momentum concept, we know that momentum is the result of multiplication between an object's mass and velocity. Hence the sopping force is also affected by the momentum of an object.
If we subtitute another acceleration equation, we will find another equation:
F = m.a
s = ut +1/2at²
a = 2(ut-s)
t²
F = m[2(ut-s)/t²]
This equation shows that the stopping force will also be affected by the distance of an object betweenn its initial position to its final position.
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a performer seated on a trapeze is swinging back and forth with a period of 8.85 s. if she stands up, thus raising the center of mass of the trapeze performer system by 35.0 cm, what will be the new period of the system?
The new time period of the system is 8.77 sec. If she stands up.
calculation
T = 2π√(L/g)
l = g*(8.85/2π)^2
new length = l -0.35= 8.85-0.35
T = 8.77 sec
Term (T) is the amount of time an oscillating body takes to repeat itself, and Frequency (f or ν) is the variety of instances it repeats in one 2d or unit time. in case you degree time in s (seconds) then frequency is measured in Hz (cycles or durations in keeping with second.
center of mass:
The centroid of a mass distribution in space is the unique point where the weighted relative positions of the distribution masses sum to zero. This is the point where force can be applied to produce linear acceleration without angular acceleration.
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Identify the highlighted vessel. The highlighted artery has two terminal branches. Name one of them. Identify the highlighted vessel.
The highlighted artery has two terminal branches are Basilic vein.
The basilic vein travels from the palm of your hand up your arm, passing by the side of your pinky and ulna (a long bone that runs from your elbow to your finger). Due to its proximity to the skin's surface, the basilic vein is regarded as superficial. The inner arm frequently exhibits it. The dorsal venous network's ulnar region is where the basilic vein first appears. The vena mediana cubiti connects to it at the anterior surface just below the elbow as it ascends the basilic vein of the forearm, which goes up the posterior surface of the ulnar side of the forearm.
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which option describes a vector quantity?(1 point) responses it has magnitude, but no units or direction. it has magnitude, but no units or direction. it has no magnitude, units, or direction. it has no magnitude, units, or direction. it has magnitude, units, and direction. it has magnitude, units, and direction. it has magnitude and units, but no direction. it has magnitude and units, but no direction.
Dimensions, units, and direction are all present in a vector quantity. So, the first selection is the right one.
A quantity with both magnitude and direction is referred to in physics as a vector quantity. A vector is referred to be a unit vector if its magnitude value is one.
As an illustration, let's say a man is travelling northeast in a car at a speed of 90 km/h. The magnitude of the velocity and its direction are therefore necessary for defining the velocity. It is a vector quantity, therefore, in that sense. Other types of vector quantities include weight, force, momentum, acceleration, displacement, gravitational fields, current, and so on.
The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and breadth.
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Brad climbs a vertical distance of 400 meters in 340 seconds. If his weight is 637 Newtons what is the power he has exerted? P=W/t OR P=Fd/t OR P=Fv
Brad must have exerted a power of 749.4 Watts.
What is Power?The power is a measure of the rate at which work is done (or similarly, at which energy is transferred). The standard unit of power is Watt (W).
The power is determined by the change in energy, which is the time taken in seconds.
According this it follows that one watt is equal to one joule of work done per second.
Power can also be mathematically represented as;
P = mgh/t
or P = Fd/t
where F = W = 637N
d = 400 meters
t = 340 seconds
P = (637 x 400) / 340
P = 749.4 Watts.
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find the magnitude of the acceleration acm of the center of mass of the spherical shell. take the free-fall acceleration to be g = 9.80 m/s2 .
The acceleration of center of mass of spherical shell = 2.94 [tex]m/s^{2}[/tex]
What is center of mass ?A position established in relation to an object or set of objects is the center of mass. It is the average location of all the pieces of the system, weighted according to their masses.
According the given information
Two forces act along the line of motion. Gravity down the slope,
m g sin([tex]\alpha[/tex]), and friction up the slope, F. They provide the linear acceleration and F also provides the torque about the Center of mass. This gives the equations of motion:
m a = m g sin([tex]\alpha[/tex]) - F
I dV/dt = F R
A spherical shell of mass m has moment of inertia I = 2/3 m R^2. Furthermore a pure rolling relates dV/dt and a through a = R dV/dt. So the two equations become
m a = m g sin([tex]\alpha[/tex]) - F
2/3 m a = F
These we solve for a and F:
Substituting F from the second equation gives
m a = m g sin([tex]\alpha[/tex]) - 2/3 m a
a = 3/5 g sin([tex]\alpha[/tex])
a = 3/5 × 9.80m/s^2 sin(30.0) = 2.94 [tex]m/s^{2}[/tex]
The acceleration of center of mass of spherical shell = 2.94 [tex]m/s^{2}[/tex]
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what is the unstretched length of the spring (i.e., without the apple attached)? express your answer with the appropriate units.
According to the solve solution 2.167 m is the unstretched length of the spring .
What is the Spring-Hooke law?Hooke aimed to show how a spring's elasticity and the forces acting on it are related. Hooke's Law asserts that the elongation of a force is proportionate to the load which is supplied to it. As long as the load somehow doesn't above the material's elastic limit, a variety of materials will adhere to this rule.
Briefing:The pendulum's parameter is equal to half the bounce's angular frequency since we know that linear frequency and angular frequency are proportional, with ω = 2πf.
√[ g / L ] = ½√[ k / m ]
4g / L = k / m
L = 4mg / k
L= 4 (1.15 N) / (1.59 N/m)
L= 2.89 m
The length of the springtime with the apple connected is seen above. The spring extended far when you attached the fruit.
So, F = ks
⇒ s = F / k
s = mg / k
s= (1.15 N) / (1.59 N/m)
s = 0.723 m
The spring therefore had the following length before you attached the apple:
2.89 - 0.723 = 2.167 m
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The complete question is -
An apple weighs 1.15 N. When you hang it from the end of a long spring of force constant 1.59 N/m and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (Because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)
What is the unstretched length of the spring (i.e., without the apple attached)?
Examine this DNA strand: TACCTGGCA. The sequence that would be found on the other side of theDNA molecule would be: a. TACCTGGCA b. ATGGACCGT c. UAGGUGGCA d. AUGGACCGU
If we have the DNA strand TACCTGGCA then the sequence that would be found on the other side of the DNA molecule would be b. ATGGACCGT.
What is the complementarity of DNA strands?The complementarity of DNA strands is a rule that states Adenine or A always pairs with Thymine or T, while Guanine or G always pairs with Cytosine or C.
Therefore, with this data, we can see that the complementarity of DNA strands depends on the matches between different nucleotides in the DNA strand such as A with T or C with G.
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What type of metamorphosis do hive beetles undergo?
a. complete
b. incomplete
c. mesocomplete
The small hive beetles, like moths and bees, undergo complete metamorphosis.
The beetles' life cycle starts with eggs, which are laid in the hive and hatch into larvae within 2 to 3 days.
Ten to 16 days later, the larvae crawl from the hive and drop to the ground outside, where they burrow into the soil and pupate.
In about 3 to 4 weeks, they emerge as adult beetles. and re-enter the hive a week later.
This process may repeat itself several times. a year, especially during the warmth months'
An animal's physical development, including birth or hatching, is governed by a biological process called metamorphosis. This process involves a noticeable and rather rapid change in the animal's body structure as a result of cell proliferation and differentiation. Insects, fish, amphibians, mollusks, crustaceans, cnidarians, echinoderms, and tunicates are among the creatures that go through metamorphosis, which is frequently accompanied by a change in diet or behaviour. Animals can be categorised into species that undergo holometaboly (full metamorphosis), hemimetaboly (incomplete metamorphosis), or no metamorphosis ("ametaboly").
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An explorer in Antarctica leaves his shelter during a whiteout. He takes 40 steps northeast, next 80 steps at 60$^{\circ}$ north of west, and then 50 steps due south. Assume all of his steps are equal in length. (a) Sketch, roughly to scale, the three vectors and their resultant. (b) Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter.
a) R= Resultant vector R=A+B+C ,D=12 steps i^−48 steps j^
A resultant vector is what?The resultant vector is described as a single vector with the same consequence as several other vectors taken together.
How do you locate the outcome vector?R = A + B.Formula 2: To obtain the resultant, opposing vectors are subtracted from one another.Here, a vector B is pointing in the opposite direction of the vector A, as well as the resulting vector is called R.
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Which of the following is the unit of coefficient of radiant heat transfer?
a) W/m2
b) W/m K
c) W/m2 K
d) W/K
Watts per square meter kelvin (W/m2K), the SI values for the heat transfer coefficient, are used. Radiation, convection, and conduction are the three mechanisms by which heat may be transferred.
Describe heat transmission in detail:
Any or all of the several processes known as heat transfer are assumed to act as transporters of energy and entropy from one location to another. The specific mechanisms are also known by the terms convection, heat radiation, and conduction.
How is heat transfer demonstrated?
Conduction: When you hold a hot cup of coffee, heat is transferred into your hands. Convection: When the barista "steams" cold milk to produce hot chocolate, heat is transferred. Radiation: Microwave-heating a cold cup of coffee
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how to find the moment of inertia about an axis of several particles given the positions and masses of the particles
Moment of inertia is defined as the tendency of an object to remain in a state of rest or of a constant rotational velocity.
What is moment inertia?Moment of inertia is the measure of the rotational inertia of the body. In simple words, the opposition exhibited by the body to the change in the speed of rotation of the body about the axis due to the applied torque (turning force) acting on the body.The formula for the moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as I = Σ miri2.Moment of inertia resists rotational motion and hence called moment of inertia and not moment of force.The moment of inertia (MOI) is one of the many mass properties that describe an object's stability and the forces needed to alter its motion.
The definition of moment of inertia allows to find the results for the moment of inertia with respect to each axis are:
1-Iₓ = m r²
2-Iy=9m r²
3-Iz=10m r².
The moment of inertia is a scalar quantity is obtained by the expression.
Sol-
I =∫ r² dm
Where I is the moment of inertia, m the mass of the body and r the distance from the axis of rotation.
In the case of point particles, the expression reduces to
I = m r²
In this case we calculate with respect to each coordinate axis.
a) With respect to the x axis the distance is x = r, the moment of inertia is Iₓ = m r²
with respect to the y-axis, indicate that the distance is y = 3 r.
We calculate
I_y = m (3r) ²
I_y = 9 m r²
c) Regarding the z-axis.
We look for the distance.
z =√x^2+y^2
z = √ 1^2+3^2
We calculate the moment of inertia Iz = m (10r²)
Iz = 10 m r²
In conclusion using the definition of moment of inertia we can look for the results of the moment of inertia for each axis are:
a) Iₓ = m r²
b) I_y = 9 m r²
c) I_z = 10 m r²
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a goalkeeper catches a 491 g soccer ball traveling horizontally at 29.4 m/s. if it took 2,218 n of force to stop the ball, how much time did it take to stop the ball in ms?
The ball will take 2.551 seconds to reach its peak position.
How much time will the ball take to land?We must know how long the balls are in the air before we can predict where they will fall. It will take 2 seconds for both balls to touch the ground.
How quickly does a ball drop?The falling ball travels a distance of d = 12 9.8 (m/s2) t2, with a speed of v = 9.8 (m/s2) t as a function of time. The ball travels 4.9 m in a second. The falling ball's velocity is v = -9.8 (m/s2) t j, and its position is r = (4.9 m - 12 9.8 (m/s2) t2) j as a function of time.
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6) if the wavelength of a photon in a vacuum is the same as the de broglie wavelength of an electron, which one travels faster through space? a) the electron because it has more mass. b) the photon because photons always travel through space faster than electrons. c) they both have the same speed.
(b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.
What is Photon?A photon is a discrete bundle (or quantum) of electromagnetic energy, often known as light energy. Photons have no mass, thus they move at the same rate as light (3 108 m/s). Each photon possesses the speed of light, or c, momentum (p = h v/c), energy (E = h), and momentum (p = h). Due to their electrical neutrality, photons are not affected by magnetic or electric fields. Radiation absorption or emission can result in the creation or destruction of photons.
What is Electron?The smallest elemental component of an atom, the electron has a negative charge. In a neutral atom, there are an equal number of protons and electrons. One electron and one proton are all that the hydrogen atom has.
Hence, (b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.
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an inductor, a capacitor, and a resistor are all connected in series across an ac source. if the resistance, inductance, and capacitance are all doubled, by what factor does each of the following quantities change? indicate whether they increase or decrease: (a) the resonance angular frequency; (b) the inductive reactance; (c) the capacitive reactance. (d) does the impedance double?
(a) Angular frequency is halved by doubling the all parameters, like resistance, inductance and capacitance.
since all parameters are doubled.
we have,
[tex]R_{2[/tex] is [tex]2R_{2[/tex]
[tex]C_{2[/tex] is [tex]2C_{2[/tex]
[tex]L_{2[/tex] is [tex]2L_{2[/tex]
Since angular frequency ω is dependent on inductance L and capacitance C
ω= 1/√LC
1/√4
= 1/2
so, angular frequency is halved.
(b) inductive reactance does not change.
Xl= ωL
= 1/2×2
=1
(c) Capacitive reactance does not change.
Xc = ωC
= 1/2×2
= 1
So, capacitive reactance does not change.
(d) Impedance is doubled.
We have, Z = [tex]\sqrt{R^{2+(Xl-Xc)^{2}[/tex]
where z= impedance
R= Resistance
Xl = inductive reactance
Xc = capacitive reactance
So, after solution Z= 2
So, Impedance is doubled.
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raul pushes a stalled car with a force of 204 n. if the required force decreases at a constant rate from 204 n to 44.0 n for a distance of 16.3 m in 16.0 s, calculate the average power required to move the car.
Raul pushes a stalled car with a force of 204 N. The average power required to move the car is 157 Watt.
The average power is given by:
P = ΔF . s / Δt
Where:
P = power
ΔF = force changes over a time period Δt
s = distance
Parameters given in the problem:
ΔF = 204 - 44 = 160 N
s = 16.3 m
Δt = 16 s
Plug these parameters into the formula,
P = ΔF . s / Δt
P = 160 x 16 / 16.3
P = 157 Watt
Hence, the required power is 157 Watt.
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calculate the x component and the y component of the vector with magnitude 24.0 m and direction 56.0degree
The X component was 13.4m and the Y component was 19.9m.
define magnitude ?
A crucial question in science is undoubtedly what is magnitude in physics. Magnitude is a term used to describe size or distance. We can connect the amount of the movement to the size and movement speed of the item.
The magnitude of a thing or a quantity is its size. A automobile moves at a quicker pace than a motorcycle, just like in terms of speed. In this situation, the car's speed is greater than the motorbike's. Let's now talk about what magnitude means in physics.
y=m sin(∅)
x=m cos(∅)
y=2+sin(56)=19.89
=19.89 ≈ 19.9m
x=2+cos(56)=13.42
=13.42≈13.4m
The X component was 13.4m and the Y component was 19.9m.
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