the required equation for centripetal force is F = k m¹ v¹ r⁻¹.
A particle traveling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle.
the F formula using the dimensions method is
Suppose F = k mᵃvᵇrⁿ. (i)
Where a, b, and n are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.
Upon putting the measurements of various amounts in (i)
we get
[M¹L¹T‐²] = Mᵃ[LT‐¹]ᵇ Lⁿ
=> [M¹L¹T‐²] = Mᵃ Lᵇ Lⁿ T⁻ᵇ
=> [M¹L¹T-²] = Mᵃ Lᵇ⁺ⁿ T⁻ᵇ
on comparing both sides we get
a = 1
b+n = 1
-b = -2 => b = 2
Then n = -1
Onputting these values in (i),
we get
F = k m¹ v¹ r⁻¹
Or
F=k(mv²)/r
This is the required equation for centripetal force.
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n a mass spectrometer, chlorine ions of mass 35u and charge 5e are emitted from a source and accelerated through a potential difference of 250 kv. they then enter a region with a magnetic field, which is perpendicular to their original direction of motion. the chlorine ions exit the spectrometer after being bent along a path with a radius of curvature 3.5 m. what is the value of the magnetic field (u
Magnetic field will be equal to 0.269 T
What is magnetic field?A magnetic field, a vector field that defines the magnetic effect on moving electric charges, electric currents, and magnetic materials. A moving charge within a magnetic field experiences a force perpendicular to its velocity and to the magnetic field.
Given,
Mass of chlorine ion is 35u
We know that 1 u = 1.66 × 10⁻²⁷kg
Radius of circular path (r) = 3.5 m
Mass of chlorine ion = 35 × 1.66 × 10⁻²⁷
= 58.1 × 10⁻²⁷kg
Charge (q) = 1.6 × 10⁻¹⁹C
Potential difference (V) = 250 Kv
According to conservation of energy:
¹/₂ mv² = qV
¹/₂ × 58.1 × 10⁻²⁷ × v² = 1.6 × 10⁻¹⁹ × 25 × 10⁴
v = 2.6 × 10⁶ m/s
As we know,
r = mV/qB
B = mV/qr
B = 58.1 × 10⁻²⁷× 25 × 10⁴/1.6 × 10⁻¹⁹× 3.5
B = 0.269 T
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A student determines the speed of three cars on a straight road.
The student measured the time for the cars to travel 50m.
Answer:
5.102 m/s
Explanation:
50/9.8=5.102m/s
what will happen to the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years
The solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
For milky way galaxy,
Size = 100000 lightyears acrossNumber of stars = 100 billionType = Spiral galaxyAge = 13.6 billion yearsFor Andromeda galaxy,
Size = 220000 lightyears acrossNumber of stars = 1 trillionType = Spiral galaxyAge = 10 billion yearsWhen these galaxies collide in about 5 billion years from now, the central black hole of Andromeda galaxy with a mass of 100 million suns will swallow up the central black hole of milky way galaxy with a mass of 4 million suns.
Therefore, the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
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A driver spotted a police car and he braked from a speed of 100km/h to a speed of 80km/h during a displacement of 88m, at a constant acceleration (a) What is that acceleration. (b) How much time is required for the given decrease in speed
Answer:
a = − 1.579 [tex]\frac{m}{s^{2} }[/tex]
b. t = 3.52s
We have velocity in km/hr and displacement in m. Since we have to make a unit conversion, might as well do it so it will yield the answer in the normal (SI) units for acceleration.
u = 100 x [tex]\frac{5}{18}[/tex] = 27.78 [tex]\frac{m}{s}[/tex]
v = 80 x [tex]\frac{5}{18}[/tex] = 22.22 [tex]\frac{m}{s}[/tex]
Using the formula of motion [tex]v^{2} - u^{2}[/tex] = 2*a*d
[tex](22.22)^{2}[/tex] - [tex](27.78)^{2} \\[/tex] = 2 * a * 88
a = -1.579 [tex]\frac{m}{s^{2} }[/tex] = acceleration
Since the acceleration was constant, we can use the average velocity, and the distance to determine the time.
time = [tex]\frac{displacement}{speed}[/tex]
t = [tex]\frac{88}{speed}[/tex]
speed = [tex]\frac{1}{2}[/tex] * (u+v) = [tex]\frac{1}{2}[/tex] * (22.22 + 27.78) = 25[tex]\frac{m}{s}[/tex]
t = [tex]\frac{88}{25}[/tex] = 3.52 s
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The acceleration of the car is equal to -1.58 m/s. The time required for the given decrease in speed is equal to 3.52 s.
What are equations of motion?The equations of motion can be utilized to describe the relationship between the acceleration, velocity, time, and displacement of a moving object.
The equations of motions can be mathematically expressed as shown below:
[tex]v = u + at\\S= ut +\frac{1}{2}at^2\\ v^2-u^2 = 2aS[/tex]
Given, the initial velocity of the police car, u = 100 Km/h = 27.78 m/s
The final velocity of the car, v = 80 Km/h = 22.22 m/s
The displacement of the car, S = 88m
From the third equation of motion: v²- u² = 2aS
(22.22)² - (27.78)² - = 2 × a × 88
a = - 1.58 m/s²
Calculate the time from the first equation of motion: v = u + at
22.22 = 27.78 + (-1.58) × t
t = 3.52 sec
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A hospital engineer finds an unidentified radioactive source using his Geiger counter in the nuclear medicine department. explain how the engineer could identify what type of radiation is being emitted from the source.
.
Any Idias?
Ionising radiation such as alpha and beta particles or gamma rays are detected using the Geiger-Müller (GM) tube. The radiation enters the tube through a very thin window at one end.
A radioisotope used for diagnostics must generate enough gamma rays to escape from the body and have a short enough half-life to decay away shortly after imaging is concluded. Tc-99 is the most often used radioisotope in medicine, accounting for approximately 80% of all nuclear medicine treatments.
Nuclear imaging is used to study the function of organs and tissues. During the operation, a trace amount of a radioactive chemical is used to aid in the examination. Body tissue absorbs the radioactive substance, known as a radionuclide (radiopharmaceutical or radioactive tracer).
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Two sound waves produce a beat frequency of 5 hz. If one of the original frequencies is 227 hz, what could be the other frequency?.
The beat frequency is always equal to the difference in frequency between the two notes that interact to create the beats.
How do you find the beat frequency of two sounds?The absolute difference between the two waves can be used to compute it. As a result, here's how to determine the beat frequency of two waves: Take the absolute value by subtracting the first wave's frequency from the second wave's frequency.The total value of the two waves' frequencies' difference is equal to the beat frequency. Beat frequency is the number of beats per second that corresponds to the difference in two waves' frequencies.Beat Frequency Calculation is given:First wave frequency 5Hz
Second wave frequency 227Hz
Beat frequency 〰️222Hz.
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at what wavelength of light to humans give off the most light if the average human body temperature is approximately 310 k?
Peak thermal radiation for the human body at 310 K has a wavelength of 9.3 mm.
The average body temperature is 310.15 oK. The infrared region is where the radiation peaks as a result. Red light with wavelengths as long as 7,000 Angstroms can be seen by the human eye. Generally speaking, infrared wavelengths are those between 7,000 and 1,000,000 Angstroms.
Light's wavelength is used to measure it (in nanometers). It is typically represented by the Greek letter. Visible light is typically defined as having a wavelength between 400 and 700 nanometers (nm), or one billionth of a meter.
The distance between equivalent places in two consecutive light cycles is known as the wavelength of light, and the frequency of light is the number of light cycles that pass a specific spot in a second.
Atoms or molecules that undergo discrete energy level transitions give rise to narrowband radiation.
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what is the purpose of the frets on a guitar. in terms of the frequency of the vibration of the strings
To learn frequency to known frequency and frets of guitar.
What is frequency?
The number of waves that pass a fixed point in a unit of time is referred to as frequency in physics. It also describes how many vibrations or cycles a body in periodic motion makes in a given amount of time.
What is the purpose of frets?
Frets, which determine the positions for the proper notes, make it much simpler for a player to achieve an acceptable standard of intonation. Furthermore, playing chords accurately is made simpler by a fretted fingerboard.
Frequency of the vibrations of the strings.
f=2LnmT, where T is the tension in the string, L is the length, and n is the number of harmonics, gives the frequency of vibration of a string.
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Demonstrate that change in heat cause change in temperature
Answer:
Procedure - Take 150g of ice in a beaker and suspend a laboratory thermometer so that the bulb is in contact with ice. Start heating and note the temperature when the ice starts melting. Finally, note the temperature when all the ice is completely melted.
Change in heat causes change in temperature because heat is the transfer of energy from a hotter object to a cooler object, leading to a change in the internal energy of the substance, which in turn affects its temperature.
When heat is added to a substance, its internal energy increases, and the particles in the substance gain kinetic energy, leading to an increase in temperature. The kinetic energy of the particles determines their motion, and as they move faster, the temperature of the substance rises.
Conversely, when heat is removed from a substance, its internal energy decreases, and the particles lose kinetic energy, resulting in a decrease in temperature. As the particles slow down, the temperature of the substance decreases.
The relationship between heat and temperature is described by the specific heat capacity of the substance, which quantifies the amount of heat required to raise the temperature of a given mass of the substance by one degree Celsius. In simple terms, heat is the energy transferred during a temperature change, and the two are intrinsically linked.
In summary, change in heat causes change in temperature because heat is the energy transferred that alters the internal energy of a substance, leading to changes in the kinetic energy and motion of its particles, resulting in temperature fluctuations.
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A soccer ball is kicked horizontally across a field with an initial velocity of magnitude 15 m/s. If the soccer ball has a mass of 0.43 kg, what is the kinetic energy of the ball just after it is kicked?
The kinetic energy of the ball just after it is kicked is 48 J.
What is kinetic energy?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all instances of objects in motion that use kinetic energy.
Vibrational, rotational, and translational energy are the three subtypes of kinetic energy. Unsurprisingly, vibrating things are the source of vibrational kinetic energy. While objects colliding with one another produce translational kinetic energy, objects moving create rotational kinetic energy.
Given:
Mass- 0.43kg
Velocity- 15
kinetic energy = 1/2 mv²
kinetic energy of the ball = 1/2 (0.43)(15)²
kinetic energy of the ball = 48 J.
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as a meteor moves from a distance of 16 earth radii to a distance of 2 earth radii from the center of earth, the magnitude of the gravitational force between the meteor and earth becomes a) 1/8 as great b) 8 times as great c) 64 times as great d) 4 times as great
The magnitude of the gravitational force between the meteor and earth becomes 64 times as great when meteor moves from 16 to 2 radii.
What is gravitational force and how it becomes 64 times as great when meteor moves from 16 to 2 earth radii?Gravitational force is the force due to gravity that we experience all through living , the attraction of earth to all the universal substances.Here a meteor moves from a distance of 16 radii to distance 2 earth radii and the magnitude of gravitational force is asked .We will use newton's gravitational force formula : F = Gm1m2/r^2 , where m1 and m2 are the masses of objects and G is gravitational constant and F is gravitational force.Here the F1 would be calculated as : F₁ = F/16² = F/256. And F2 will be calculated as :F₂ = F/2² = F/f.Knowing the value of F1 and F2 , we will take a ratio F2/F1, which equals F2/F1 = 256/4 = 64 times.To know more about gravitational force visit:
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an electron and a photon each have a wavelength of 0.200 nm. a. find the momentum and energy of the photon. b. find the momentum and kinetic energy of the electron. ignore relativistic effects for the electron. c. how fast is each one moving?
a. Momentum is 3.315x [tex]10^{-24}[/tex] kg m/s and energy is 6.21KeV.
b. momentum is 3.315x [tex]10^{-24}[/tex] kg m/s and kinetic energy 0.038 KeV.
c. 3.64x [tex]10^{6} m/s[/tex] fast is each one moving.
a. for photon λp = 0.200 nm
Now, λp = [tex]\frac{h}{p_{p} }[/tex]= [tex]p_{p} = \frac{h}{h_{p} }[/tex] = [tex]\frac{6.63\times 10^{-34} }{0.200\times 10^{-9} }[/tex] kgm/s
= 3.315x [tex]10^{-24}[/tex] kg m/s
[tex]E_{P}[/tex] = [tex]P_{p} C[/tex] = 3.315x [tex]10^{-24}[/tex]x 3x [tex]10^{8}[/tex]/ 1.6x [tex]10^{-19}[/tex] eV
= 6.21KeV.
b. λe = 0.200
[tex]P_{e} =[/tex]λ/λe
= 3.315x [tex]10^{-24}[/tex] kg m/s
E = [tex]\frac{P^{2} _{e} }{2m} }[/tex] = [tex]\frac{( 3.315)^{2} }{2\times 9.1\times 10^{-31\times 1.6\times10^{-19} } }[/tex]
= 0.038 KeV
C. [tex]P_{e} = m V_{e}[/tex]
[tex]V_{e} = \frac{P_{e} }{m\\}[/tex]
= [tex]\frac{ 3.315\times 10^{-24} kg m/s}{9.1\times 10^{-31} }[/tex]
= 3.64x [tex]10^{6} m/s[/tex]
What is momentum?Momentum is a quantity used to describe the state of motion of an object with non-zero mass. Thus, an impulse can be applied to any moving object. Since velocity is considered a vector, momentum is also considered a vector. This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or arrow. For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.
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a space vehicle is traveling at 5800 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 74 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?
Speed of the command module relative to earth just after the separation is 5785.2Km/h
Velocity of speed of Vehicle = 5800km/h
mass = 4m + m = 5m
relative velocity = v2 - v1 = 74 km/h
v2 = 74 + v1
using conservation of momentum,
(5800)(5m) = 4m(v1) + m(v2)
V1 = 5785.2km/h
Momentum in Newtonian physics is defined as the sum of an object's mass and velocity, or more specifically, as its linear momentum or translational momentum. As a vector quantity with both a magnitude and a direction, it has both. The momentum of an item is expressed as follows: if an object has mass (m) and velocity (v), both of which are vector quantities.
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilograms metre per second (kg m/s) is its SI counterpart.
A body's momentum changes at a rate equal to the net force exerted on it, according to Newton's second law of motion. However, in any inertial frame, momentum is independent of the frame of reference.
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if each resistor is rated at 0.2 w (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
The maximum voltage that can be applied to the whole network is 39.46V.
What is the relationship between power and voltage?The explanations given here are that Power equals current times Voltage (P=VxI), Voltage equals Power divided by current (V=P/I), and current equals Power divided by Voltage (I=P/V).
Power and Voltage:
The equation for the relationship between power, resistance, and voltage is
P = V²/R
P is for power,
R stands for resistance,
and V for voltage.
Given that the resistors
V = [tex]\sqrt{PR}[/tex]
Consequently, the maximum voltage for the 2.8k resistor will be:
V = [tex]\sqrt{(0.2)(2800)}[/tex]
V = 23.66V
The maximum voltage for the 2.1k resistor will be similar:
V = [tex]\sqrt{(0.2)(2100)}[/tex]
V = 20.49V
This is lower than the 2.8k resistor's maximum voltage.
The voltage between the 2.8k and 2.1k resistors must be same because they are connected in parallel.
The highest voltage that can be applied across this parallel configuration is 20.49V since a voltage of 23.66V would be too high for the 2.1k resistor to handle.
Similarly, the voltage drop across the series-connected 1.8 k resistor is:
V = [tex]\sqrt{PR}[/tex]
V = [tex]\sqrt{(0.2)(1800)}[/tex]
V = 18.97V
Consequently, the highest voltage that can be used over the entire network is
20.49V + 18.97V = 39.46V
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two skaters, each of mass 50 kg, approach each other along parallel paths separated by 3.0 m. they have opposite velocities of 1.4 m/s each. one skater carries one end of a long pole of negligible mass, and the other skater grabs the other end as she passes. the skaters then rotate around the center of the pole. assume that the friction between skates and ice is negligible. what are (a) the radius of the circle, (b) the angular speed of the skaters, and (c) the kinetic energy of the two-skater system? next, the skat
The angular speed of the skaters is 0.7rad/s and the kinetic energy of the two-skater system is 98 J.
Kinetic energy = m[tex]v^{2}[/tex] = 98J
Angular speed = 0.7 rad/s
A force needs to be applied if we want to accelerate an object. We must use effort to apply a force. The object will be moving at a new constant speed once the operation is finished and energy has been transferred to it. Kinetic energy, which is the energy that is transferred and is based on the mass and speed attained, is what causes motion.
It is possible for kinetic energy to move from one item to another and change into other types of energy. An encounter between a flying squirrel and a chipmunk, for instance, might occur. Some of the squirrel's initial kinetic energy may have been passed to the chipmunk after the collision, or it may have been converted to another kind of energy.
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Magnitude of the acceleration would be 36 m/s^2.
Force is nothing but an influence that can change the motion of object or can make changes into the object. Sometimes we apply force but still there is no effect. Mathematically when object comes into motion after applying force, Force is the product of the mass of the object and the accelerations of the body, so we can write
F = ma
now putting the values, we can get that force is
F = 0.25 x a
a = F/0.25
a = 9/0.25
a = 900/25
a = 36 m/s^2
Hence the acceleration would be 36 m/s^2.
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a visitor to a lighthouse wishes to determine the height of the tower. the visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. the period of oscillation is 9.12 s. what is the height of the tower? the acceleration due to gravity is 9.81 m/s 2 . answer in units of m
The height of the tower is 20.68 m
What is simple harmonic motion?Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.
Using,
T = 2π√(L/g)
Where, T = period of the oscillation
L = Height of the tower
g = Acceleration due to gravity
Make L the subject of the equation
L = gT²/(4π²)
Given: T = 9.12 s
g = 9.8 m/s²
π = 3.14
Substitute into equation 2
L = 9.8(9.12²)/(4×3.14²)
L = m
Hence the height of the tower = 20.68 m
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a tree house is 8 m above the ground. if tarzan does 360 j of work while pulling the box at constant speed from the ground up to his tree house with a rope, what is the mass of the box?
Mass refers to a body of matter's resistance to changing its speed or location in response to the application of a force.
What is the mass of the box?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter.It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The change caused by an applied force is smaller the more mass a body has.
The work done to place the box at tree house=350 J.
The distance from ground to tree house =4.0 m and g = 9.8/8²
E =mgh
m = 350 J / (9.8/8²* 4.0m)
m=8.929kg
Hence the mass of the box is 8.929kg
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A soccer ball rests on the ground in a stationary position. Which of the following best describes the forces acting on the ball? (1 point)
Responses
unequal forces
unbalanced forces
accelerating forces
balanced forces
How do you calculate this?
Answer: Find the right angle degree and then you will find ow to do the rest.
what sound characteristics can be compared between the two ears to locate the source of a sound? group of answer choices sound shadows and pitch loudness and phase frequency and loudness we cannot localize sounds well
Intensity and time interval of a sound can be compared between the two ears to locate the source of a sound.
Intensity of the sound is defined as the proportion of energy that flows per unit time through a unit area perpendicular to the direction of motion of such sound waves.
The time it takes for a sound wave to complete one cycle is called its time interval or the time period.
The time period is inversely proportional to the frequency and is given by: Time period = 1/FrequencyA person's loudness perception is affected by the amount of sound they hear.
The volume or loudness of a sound is determined by its intensity, which itself is governed by its frequency. Sounds are measured by their intensity or the energy they have in them. Intensity is measured in decibels (dB) and the volume of sounds is determined by their intensity. The intensity of sound is determined by two factors: the size of the sound waves and the distance from their source.and the time taken by the sound wave to reach the ear is dependent on the distance between the source and the ear.Therefore intensity and time interval can be considered as the sound characteristics to compare between the two ears to locate the source of a sound.
The question is incomplete, the complete question is:
'What sound characteristics can be compared between the two ears to locate the source of the sound?
a. sound shadows and frequency
b. frequency and amplitude
c. intensity and time of arrival
d. timbre and rhythm'
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a small brake light powered by an automotive battery of 12.0 v has a power rating of 30 w. what is the resistance of the brake light in ohms? round your answer to the nearest tenth.
5ohms is the resistance of the brake light in ohms.
What are opposition and an example?Resistance is the degree to which a substance obstructs or opposes an electric current. Electric current is the flow of electrons. To better understand resistance, imagine how difficult it would be for a person to move from one shop to another in a crowded market.
Resistance and formula are what?The following is the equation to use Ohm's Law to compute resistance: R = V I, where R is the resistor's resistance expressed in ohms () and V is the voltage drop expressed in volts.
POWER(watts) = VOLTAGE * AMPERAGE
AMPERAGE = POWER(watts) / VOLTAGE
AMPERAGE = 30/12 = 2.5
RESISTANCE(ohms) = VOLTAGE / AMPERAGE
R = 12/2.5 = 4.8ohms
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when the moon is directly opposite the sun in the sky, its phase is: when the moon is directly opposite the sun in the sky, its phase is: new. full. waxing or waning gibbous. first or third quarter. waxing or waning crescent.
A full moon is currently visible in the sky across from our sun.
What is a new full moon?
Half of the moon is visible to us, and the other half is not lit by sunlight until around a week after the new moon. We observe the moon in this phase, sometimes referred to as the first quarter moon, around a week following the new moon.
What is waxing gibbous?
The waxing crescent and illuminated first-quarter moon are visible to the west. Since "gibbous" means "swollen" or "humpbacked," the moon phase that follows the first quarter moon is known as the "waxing gibbous moon." And indeed, it does appear as though the moon is slightly swollen or developing a small hump. You should be aware that the word "waxing" is a synonym for "increasing," which will aid you in remembering that during the waxing phase, we see more and more of the moon every night.
Therefore, the moon currently visible in the sky is a full moon.
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a car has a maximum acceleration of 5.8 m/s2 . what will the maximum acceleration be if the car is towing another car of the same mass? neglect the additional friction force. express your answer using two significant figures.
The maximum acceleration if the car is towing another car of the same mass is 2.8 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Case 1:-
acceleration = force/mass
5.8 = F/m
Let each mass of the car is m
mass of two car = 2m
a = F/2m
So new acceleration will become = 5.8/2
= 2.8 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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how much heat is lost when a 640g piece of copper cools for 375°C to 26°C? the specific heat is 0.09 cal/g°C≈
The heat energy lost during the cooling of metal can be calculated using calorimetric equation. The heat lost here during cooling of copper is 20102.4 Cal.
What is calorimetry?Calorimetry is an analytical tool used to determine the heat energy released or absorbed from a chemical reaction or physical change. The heat energy q is related to the mass m of the substance, specific heat capacity c and the temperature difference ΔT as follows:
q = m c ΔT.
It is given that the mass of copper metal is 640 g having specific heat of 0.09 Cal/g° C cooled from 375 to 26 degree Celsius. The heat lost from the metal can be calculated as follows:
q = 640 g × 0.09 Cal/g° C × (375 - 26 ° C )
= 20102.4 Cal.
Therefore, the heat lost from the metal is 20102.4 Cal.
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a wheel has moment of inertia 5 cross times 10 to the power of negative 3 end exponent space k g times m squared and is making 20 revolutions per second. the magnitude of torque needed to stop it in 10 s is:
A wheel has moment of inertia 5 x 10-3 kg m2 and is making 20 revolutions per second. The magnitude of torque needed to stop it in 10s is: 4 π x 10-2 Nm.
The force that may twist an item about its axis is measured as torque. Torque is what causes an object to acquire angular acceleration, just as force is what causes an object to accelerate in linear kinematics. examine the formula. Force times distance equals torque. The same way that force and distance are measured in newtons and meters, respectively, so is torque. The size or magnitude of a mathematical object is a characteristic that defines whether it is bigger or smaller than other objects of the same kind. An object's magnitude is, more properly, the exhibited outcome of an ordering—of the class of objects to which it belongs.
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Astronauts in training are subjected to extreme acceleration forces bu the centripetal forces in a gaint centrifuge. a, calculate the approximate centripetal force an on astronaut of mass 80 kg if the centrifuge rotates once 2 second. b, approximately how many times greater than the astronaut weight is this force?
In a massive centrifuge, centripetal forces accelerate trainee astronauts to extremely high speed is 49.3 frac ms2 and 5.
How much weight is an astronaut under this force?During a rocket launch, an astronaut's maximum g-force is typically around 3gs. The passengers can withstand this, which is equivalent to three times the gravity that people experience while they are on Earth.
a)a c=omega2 r=frac4 pi 2 r, T2=49.3 frac ms2, and a c = 2 r= T 2
4π \s2 \s r \s \s =49.3 \ss \s
m \s \s ,
b)frac = k=F aP=\frac{a c}
g=5.k= P \sF \s\s = \sg \sa \ \s =5.
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A string is wrapped tightly around a fixed reel that has a rotational inertia of 0. 0352 kg · m2 and a radius of 12. 5 cm. An object of mass 423 g is attached to the free end of the string. With the string vertical and taut, the object is gently released so it can descend under the influence of gravity. As the object descends, the string unwinds and causes the reel to rotate without friction at its axle. What is the speed of the object after it has fallen 1. 25 m?.
The speed of the object if a string is wrapped tightly around a fixed reel that has a rotational inertia of 0.0352 kg · m² and a radius of 12.5 cm after it has fallen 1.25 m is 1.97 m /s
∑ Fy = m ay
mg - T = ma
m = 423 g = 0.423 kg
g = 9.8 m / s²
( 0.423 * 9.8 ) - T = 0.423 a
4.15 - T = 0.423 a → ( 1 )
τ = F * ⊥d
τ = I α
α = a / r
τ = Torque
F = Force
⊥d = Perpendicular distance
I = Moment of inertia
α = Angular acceleration
a = Tangential acceleration
r = Radius
I = 0.0352 kg m²
r = 12.5 cm = 0.125 m
F * ⊥d = I α
T * r = I a / r
T = I a / r²
T = 0.0352 a / 0.125²
T = 2.26 a → ( 2 )
( 1 ) becomes,
4.15 - 2.26 a = 0.423 a
2.683 a = 4.15
a = 1.55 m / s²
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
s = Distance
u = 0
s = 1.25 m
v² = 0 + ( 2 * 1.55 * 1.25 )
v² = 3.875
v = 1.97 m / s
Therefore, the speed of the object after it has fallen 1.25 m is 1.97 m / s
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for a charged particle, a constant magnetic field can be used to change for a charged particle, a constant magnetic field can be used to change only the direction of the particle's velocity. only the magnitude of the particle's velocity. both the magnitude and direction of the particle's velocity. none of the above.
For a charged particle, a constant magnetic field can be used to change for a charged particle, only the direction of the particle's velocity .
magnetic force = q(VxB)
which is perpendicular to V and B
so it can't change magnitude only can change direction.
What is magnetic field?A magnetic field is a vector field near a magnet, an electric current, or an alternating electric field where the observed magnetic forces exist. A magnetic field consists of moving electric charges and the internal magnetic moments of elementary particles associated with a fundamental quantum property called spin. The magnetic field and the electric field are both related and are components of the electromagnetic force, which is one of the four forces of nature.
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What is the acceleration of an object with mass of 42.6 kg when an unbalanced force of 112 N is applied to it?
Responses
A 4771.2 m/s24771.2 m/s 2
B 2.63 m/s22.63 m/s 2
C 0.3800 m/s20.3800 m/s 2
D 69.4 m/s2
The acceleration of an object with mass of 42.6kg when an unbalanced force of 112 N is applied to it is 2.63m/s² (option B).
How to calculate acceleration?Acceleration in physics is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The acceleration of a moving body can be calculated by dividing the force applied to move the object by its mass as follows:
a = F/m
According to this question, an object with mass of 42.6kg was moved by an unbalanced force of 112 N. The acceleration required can be calculated as follows;
a = 112N ÷ 42.6kg
a = 2.63m/s²
Therefore, 2.63m/s² is the acceleration of the object.
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