The ratio of rotational and kinetic energy of center-of-mass is, 1/2.
If a solid cylinder is placed at top of inclined plane due to mgsinθ linear velocity increases and friction apply torque so angular velocity increases.
If cylinder is performing rolling without friction then displacement of point of contact is zero so work done by friction is zero so mechanical energy is conserved here.
So it's kinetic energy = (1/2) m v²
And rotational energy is, (1/2) I ω²
The moment of inertia is, I = (1/2) m r², and the angular velocity, ω = v/r.
Using these values, rotational energy is,
[tex]\dfrac{1}{2} \times \dfrac{1}{2} \times m r^2 ({\dfrac{v}{r}})^2\\= \dfrac{1}{4} \times m v^2[/tex]
Now, the ratio of rotational and kinetic energy is, 1/2.
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3. the coefficient of friction between a soccer ball and a court is 0.52, and its mass is 425 gm. how much horizontal force is required to make the shoe slide?
The horizontal force that is required to make the shoe slide is 2.1658N.
Horizontal force = static friction
Static friction = uMg
u is coefficient of friction
g = acceleration due to gravity
M is the mass of the body that is .0425 kg.
Force required = (0.52 x 0.425 x 9.8) N
= 2.1658N
A horizontal force is a force that operates in a direction parallel to the horizon. The cycle's speed tends to slow down due to an opposing force called air resistance force, which acts in the opposite direction. Both the applied force and the air resistance force are considered horizontal forces when the direction is taken into account. Jumps and horizontal medicine ball throws can help increase the horizontal force produced. The Standing Long Jump, Standing Triple Jump, and horizontal jumps over hurdles or boxes are some of these jumps.
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the height of the mercury column in a barometer reads 725 mm. a barometer is made of a glass tube sitting in an open container of mercury. the glass stem is partly filled with the mercury. how will the height of the mercury column change when the atmospheric pressure decreases?
The height of the mercury column in a barometer is directly proportional to the atmospheric pressure. As atmospheric pressure decreases, the height of the mercury column decreases. Conversely, as atmospheric pressure increases, the height of the mercury column increases.
This relationship between the height of the mercury column and atmospheric pressure is described by Pascal's law, which states that pressure applied to an enclosed fluid is transmitted equally in all directions throughout the fluid. In the case of a barometer, the mercury in the glass stem is an enclosed fluid, and the atmospheric pressure acts on it, causing it to rise or fall.
So, if the atmospheric pressure decreases, the mercury column's height will also decrease. The exact amount of change in the height of the mercury column will depend on the amount of decrease in atmospheric pressure and the specifics of the barometer setup.
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a lunar eclipse can occur only atgroup of answer choicesfirst quarter moon.third quarter moon.new moon.full moon.
An lunar eclipse can only happen at certain response options.New moon is the first quarter moon.
What three lunar eclipses are there?A lunar eclipse happens when Earth passes in front of the Sun and Moon, preventing the Amount of solar radiation from striking the Moon directly.Only at full moons do lunar eclipses take place.Total, partial, & penumbral lunar eclipses are the three types that can occur.
Can the q3 moon create an eclipse?The Moon's shadow, which it casts across the Earth whenever it is directly between the Sun and the planet, causes a solar eclipse.Solar eclipses can only happen with a new moon.
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to push a car down the street, a truck applies 20,400 j of work over 60 seconds. calculate the power to push the car.
340 W is the power to push the car if a car down the street, a truck applies 20,400 j of work over 60 seconds.
Power is defined as the rate at which work is done. It is given by the equation:
P = W / t
where P is power, W is work, and t is time.
Given that the truck applies 20,400 J of work over 60 seconds, the power can be calculated as:
P = W / t = 20,400 J / 60 s = 340 W
So the power required to push the car down the street is 340 W.
The rate of work execution is referred to as power. The equation states it as follows: 340 W is the power to push the car if a car down the street, a truck applies 20,400 j of work over 60 seconds.
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PLS HELP ME
a bullet is fired with a velocity of 150m/s at an angle of 15° to the horizontal.Calculate the range of the bullet (g=10m/s)
The range of the bullet is 1,125 m.
What is the range of bullet?The range of the bullet is the maximum horizontal distance travelled by a projectile and it can be calculated by applying the following formula.
R = ( u² sin ( 2θ ) / g
where;
u is the initial velocity of the bullet = 150 m/sθ is the angle of projection of the bullet = 15°g is the acceleration due to gravity = 10 m/s²The range of the bullet is calculated as follows;
R = ( u² sin ( 2θ ) / g
R = ( 150² sin ( 2 x 15 ) / 10
R = 1,125 m
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why does the blind spot from the optic disc in either eye not result in a blind spot in the visual field?
With both eyes open, the blind spots are not perceived because the visual fields of the two eyes overlap. Indeed, even with one eye closed, the blind spot can be difficult to detect subjectively because of the ability of the brain to “fill in” or ignore the missing portion of the image.
What is the structure of eye ?The optically transparent aqueous humour, lens, and vitreous body are all enclosed by three coatings that make up the eye. The cornea and sclera make up the outermost coat, while the choroid, ciliary body, and iris make up the intermediate coat and, from the rear to the front, the major blood supply to the eye.
Due to the fact that both eyes' fields of vision overlap, the blind spot is ignored and does not result in a blind spot in the visual field. Additionally, even with one eye closed, the brain has the capacity to ignore or make up for the affected area.
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one day while measuring acceleration with his pulse as a timing source, galileo became so excited that his pulse rate increased. his results for acceleration that day were probably
Galileo once felt so thrilled as his pulse rate went up while he was using his pulses as a time source to measure acceleration. He probably had better acceleration results that day.
How does acceleration function? What is it?
Any procedure where the velocity varies is referred to as acceleration. There are just two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a rate and a direction.
Is acceleration accelerating or constant?
An object is considered to be moving faster or to have an acceleration if its velocity changes. An item can occasionally alter its speed by the same quantity every time or every second. Because the speed is changing by a fixed amount every second, this is therefore known as acceleration, which is constant.
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a sperm whale can accelerate at about 0.110 m/s2 when swimming on the surface of the ocean. how far will a sperm whale travel if it starts at a speed of 0.900 m/s and accelerates to a speed of 2.18 m/s ? assume the whale travels in a straight line.
The distance traveled by the sperm whale at a speed of 0.9 m/s with an acceleration of 0.11 m/s² is 17.91 m
The initial speed of the sperm whale = 0.9 m/s
The acceleration of the sperm whale = 0.11 m/s²
The final speed of the sperm whale is 2.18 m/s
The distance traveled by the sperm whale can be found using the formula,
v² = u² + 2as
where v is the final velocity
u is the initial velocity
a is the acceleration of the sperm whale
d is the distance traveled by the sperm whale
Let's substitute the known values in the above equation we get
2.18² = 0.9² + 2 x 0.11 x s
4.75 = 0.81 + 0.22 x s
4.75 - 0.81 = 0.22 x s
0.22 x s = 3.94
s = 3.94 / 0.22
s = 17.91 m
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the crew of a cargo plane wishes to drop a crate of supplies on a target below. to hit the target, when should the crew drop the crate? ignore air resistance. view available hint(s)for part a the crew of a cargo plane wishes to drop a crate of supplies on a target below. to hit the target, when should the crew drop the crate? ignore air resistance. when the plane is directly over the target before the plane is directly over the target after the plane has flown over the target
To hit the target with the crate of supplies, the crew should drop the crate when the plane is directly over the target.
This is because the crate will be initially moving with the same horizontal velocity as the plane. When dropped, the crate will begin to fall vertically due to the force of gravity,
Gravity is a fundamental force in the universe that causes objects to be attracted to each other. It is the force that governs the motion of planets, stars, and galaxies, and is responsible for keeping them in their orbits.
According to the theory of gravity proposed by Sir Isaac Newton, every object in the universe exerts a gravitational force on every other object, with the strength of the force depending on the mass of the objects and the distance between them. This force is proportional to the product of the masses of the two objects, and inversely proportional to the square of the distance between them
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A small section of an electric field is shown with points A, B, and C. Rank the
magnitude of the electric field at those three points from largest to smallest.
The rank of magnitude of electric field is given by:
point A > point B > point C.
What is electric field line?An great approach to see electric fields is with electric field lines. They had their beginnings with Michael Faraday himself.
At one point, a field line is drawn perpendicular to the net. As a result, the direction of the electric field at any place is the same as the tangent to the electric field line.
Second, the relative strength (magnitude) of the electric field at a location is correlated with the relative density of the field lines around that point.
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a dark screen with a 2mm hole in it is placed between a light bulb emitting light and a viewing screen. what will you see on the viewing screen?
When the light beams that have been reflected or refracted actually touch after reflection or refraction, a true image is created. On a screen, an actual image can be obtained.
What does "screen" mean in optics?projection screen, a surface used to display an optical projector's picture. The main criteria for materials to be used as screens is a high level of reflection. The lenticular, glass bead, and mat white screens are the three most popular kinds of screens.
How do pictures show up on a screen?To generate a picture visible to a human eye, pixels on electrical devices can emit light, filter light, or reflect light. Here is an output from a laser printer that has been enlarged. The output of an inkjet printer printer is magnified below. The dots that make up the finished image can be seen.
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You have a system of a negatively charged object and a positively charged object separated by some arbitrary finite distance.1. What is the sign of their potential energy? (Remember that charges that are infinitely far from each other have zero potential energy.)2. What can you do to decrease this energy?3. Draw an energy bar chart for this process of decreasing the energy.
The sign of the potential energy of a system of two charged objects depends on the nature of the charges. In the case of a negatively charged object and a positively charged object separated by some finite distance, the potential energy is negative, meaning that energy is stored in the system.
What can you do to decrease this energy?To decrease the potential energy of the system, you can bring the charged objects closer together, reducing the distance between them. This reduces the electric field strength and the potential energy stored in the system.
What happens when charges get closer?As the charges get closer, the repulsive force between them increases, requiring more work to overcome. At some point, the charges will repel each other so strongly that it becomes difficult to bring them any closer together.
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treat each of your eyes as a circular aperture of diameter 3.4 mm. light of wavelength 442 nm is used to view two point sources that are 139 m distant from you. how far apart must these two point sources be if they are to be just resolved by your eye? assume that the resolution is diffraction limited and use rayleigh's criterion.
The resolution limit for a circular aperture of diameter d for a light of wavelength λ is given by the formula, d = 1.22λ/D, where D is the separation between two point sources. So for the given situation,
d = 1.22 x 442 x 10^-9 m / 139 m = 1.22 x 442 x 10^-9 m / 139 m.
Solving for D, we get
D = 1.22 x 442 x 10^-9 m / (3.4 x 10^-3 m) = 1.22 x 442 / 3.4 x 10^-6 m = 1.22 x 442 x 10^6 / 3.4 m = 0.0635 m. Therefore, the two-point sources must be separated by 0.0635 meters to be just resolved by the eye.
The result of imaging a point object through a circular aperture, such as our eye's lens or iris, is not a point but a diffraction pattern. This is true, especially when the object's size and the light's wavelength are comparable.
Concentric circles that become dimmer as we go away from the center are formed by a circular aperture. They are referred to as Airy discs.
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a car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. the truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2 . the automobile overtakes the truck after the truck has moved 60.0 m .
v truck equals 2.10 m/s^2 * t(v=velocity)
v car equals 3.40 m/s^2 * t.
In order to obtain the solution, we can lastly enter the known value of d = 60.0 m:
Sqrt(2 * 60.0 m / (3.40 m/s^2 - 2.10 m/s^2) yields t = 5.14 s.
v truck is equal to 2.10 m/s^2 * 5.14 s, or 10.67 m/s.
17.87 m/s is equal to v car = 3.40 m/s^2 * 5.14 s.
With a speed of 17.87 m/s and a truck speed of 10.67 m/s, respectively, the vehicle passes the truck after 5.14 seconds.
An object's rate of change in position in a certain direction is described by a vector quantity called velocity. Its formula is the product of the positional change and the time change. In other terms, velocity refers to a direction in which an object is moving at a certain speed. Meters per second (m/s) or any other measure of distance travelled in a given amount of time can be used to describe velocity. When describing the motion of objects in various contexts, such as the movement of planets and stars or that of projectiles and vehicles, velocity is a key notion in physics. The forces acting on an object and its acceleration can cause its velocity to fluctuate over time. being aware of speed
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explain the action of the conventional shock absorber on both compression (jounce) and rebound stokes.
The typical shock absorber is made to lessen both the shock, or "jounce," felt during compression strokes and the amount of rebound felt during rebound strokes.
The shock absorber uses hydraulic pressure during compression strokes to slow down and absorb the shock, or jounce, of the vehicle when it travels over bumps or potholes. The kinetic energy of the shock is transformed into thermal energy by a piston, cylinder, and hydraulic fluid, which work together to accomplish this. The shock absorber works to lessen the vehicle's rebound or bounce during rebound strokes, making the ride more comfortable. It accomplishes this by utilizing a valve to control the hydraulic fluid's flow and produce resistance, which aids in absorbing the rebound's energy.
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a large piece of ice breaks loose from the roof of a chalet at a ski resort and slides across the snow-covered terrain. it passes over the top of a hill in a path that has the shape of the arc of a circle of radius r . what is the speed v of the piece of ice as it passes over the top of the hill if the normal force exerted on it at this point is half its weight?
The speed v of the piece of ice as it passes over the top of the hill if the normal force exerted on it at this point is half its weight is [tex]v= \sqrt{\dfrac{gr}{2}}[/tex].
During the sliding over the top of the hill, the forces acting upon the piece of ice are gravitational force, [tex]F_g[/tex] = mg toward the ground,
and centrifugal force is given by [tex]F_c = \dfrac{mv^2}{r}[/tex] acting from the ground,
so the total normal force exerted on it at this point (toward the ground) is half its weight, [tex]F_n = \dfrac{1}{2} mg[/tex].
Using the Newton's second law of motion,
[tex]\dfrac{1}{2} mg = mg - \dfrac{mv^2}{r}[/tex]
Solving this,
[tex]v= \sqrt{\dfrac{gr}{2}}[/tex]
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a ferris wheel with a radius of 10.0 m makes 1 revolution every 10 s. when a passenger is at the top, essentially a diameter above the ground, he releases a ball. how far from the point on the ground directly under the release point does the ball land?
The ball will land 12.3 meters away from the point on the ground directly under the release point. This can be expressed mathematically as:
The radius of the wheel is 10.0 m, so the diameter of the wheel will be 20.0 m. the circumference of the wheel can be calculated as follows.
[tex]C=2\pi r\ \\ =(2\pi )(10m)\\ =62.831m[/tex]
The speed of any point of the wheel can be determined as
[tex]v=C/t \\\=62.831m/10s\\=6.283m/s[/tex]
Now, the following formula can be used to determine how long it takes the ball to move vertically a distance equal to the wheel's diameter.
[tex]s=ut+1/2gt^{2} \\ where, u = initial speed = 0 \\So,\\(20.0m)=(0)t+1/2(9.8m/s^{2} )t^{2} \\t^{2} = (20m)(2)/(9.8m/s^{2} )\\t=2.01s\\[/tex]
The ball will now touch the ground at this moment. The following formula can be used to determine how far the point traveled during this period.
[tex]D=(6.283m/s)(4.081s)\\\\=12.287m\\=12.3m[/tex]
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is there any other position where the electric field magnitude is zero? if so, what is that location in terms of d ?
No, the electric field magnitude is zero only at the midpoint between the two charges, i.e. at a distance of d/2.
In order to determine the location of the electric field zero, we set the electric fields for each point charge to be equal to one another because that is the point at which they will cancel one another out. The electric potential does not necessarily equal zero just because the electric field is zero at a certain location. The situation of two similar charges that are spread apart is an excellent example. Even when the electric field is not zero at a given point, the electric potential can nonetheless be zero there. Because it is 0 at a point inside the solid body of the conductor, the electric field caused by induced charges at the sphere's center is zero.
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What is the name of a change that occurs when one or more substances change into entirely new substances with different properties?
A chemical change is the transformation of one substance into another, the emergence of new compounds with distinct properties, or any combination of these. It happens when two compounds mix to create a new material (synthesis or either decomposes to form more substances).
What is substance and example?A substance is defined as matter with a certain composition and particular qualities. Everything that is pure is a substance. A substance is every pure compound. Several chemicals are: Since iron is an element, it qualifies as a material. Methane is a substance since it is a compound.
What is a natural substance?Naturally Occurring Substances: Substances that exist in the environment naturally yet nonetheless pose a risk to businesses in terms of environmental responsibility. Examples include radon, pyrite, asbestos, mercury, arsenic, and asbestos. The majority of these materials are found while being developed or built.
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a spring has a natural length of 10 cm. if a 25 n force is required to keep it stretched to a length of 20 cm, how much work w (in j) is required to stretch it from 10 cm to 15 cm? (round your answer to two decimal places.)
A spring has a natural length of 10 cm then the work w (in j) is required to stretch it from 10 cm to 15 cm is 156.25 J.
We can use the formula for the work done by a spring: W = (1/2) k ([tex]x_{2}[/tex] - [tex]x_{1\\}[/tex]) where W is the work done, k is the spring constant, [tex]x_{2}[/tex] is the final length of the spring, and [tex]x_{1\\}[/tex] is the initial length of the spring.
First, we need to find the spring constant. We can use the force applied and the extension of the spring to calculate it:
F = k([tex]x_{2}[/tex] - [tex]x_{1\\}[/tex])
25 N = k (20 cm - 10 cm)
k = 2.5 N/cm
Now we can use this value of k to calculate the work done to stretch the spring from 10 cm to 15 cm:
W = (1/2) (2.5 N/cm) ((15 cm)^2 - (10 cm)^2)
W = (1/2) (2.5 N/cm) (225 cm^2 - 100 cm^2)
W = (1/2) (2.5 N/cm) (125 cm^2)
W = 156.25 J
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Suppose you throw a 0.0520 kg ball with a speed of 10.0 m/s and
at an angle of 30.0° above the horizontal from a building 12.0 m high.
a) What will be its kinetic energy when it hits the ground?
b) What will be its speed when it hits the ground?
The kinetic energy of the ball of 0.0520 kg with a velocity of 10 m/s is 2.6 J. The speed of the ball when it hits the ground will be 15.3 m/s.
What is kinetic energy ?Kinetic energy of an object is the energy generated by virtue of its motion. It is related to the mass and velocity as follows:
Ke = 1/2 mv²
Given that, m = 0.0520 kg
velocity v= 10 m/s
then Ke = 1/2 × 0.0520 Kg × (10 m/s )² = 2.6 J.
The kinetic energy of the ball when it hits the ground will be equal to the potential energy. Then, the speed of the when it hits the ground is calculated as:
v =√2gh
v = √(2 × 9.8 m/s 12 m)
= 15.3 m/s.
Therefore, the speed of the ball when it hits the ground will be 15.3 m/s.
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Collars that emit radio waves are sometimes placed on animals to find their location. Which is the BEST reason for using radio waves as a method of tracking the animals?
The best reason for using radio waves on animals is to locate where the animals are and to keep track of them.
How can animals be tracked?VHF radio tracking, satellite tracking, and global positioning system tracking are the three types of radio tracking systems used by scientists. Radio waves are used as a method of tracking animals because they can travel over long distances, even through obstacles, and can be easily detected with a receiver.
Additionally, radio waves can be emitted continuously, allowing for continuous monitoring of the animal's location. This makes radio waves a convenient and effective means of tracking animals in many different environments.
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GCSE Physics question
The period of the sound wave is 0.00025 second.
What are acoustic waves?An example of an energy type that propagates through a medium using adiabatic loading and unloading is acoustic waves. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are crucial parameters for defining acoustic waves.
Given parameters:
Frequency of sound wave is = 4.0 kHz
We know that for wave motion:
Time period of the wave = 1/frequency of the wave
Hence, The period of the wave is = 1/Frequency
= 1/ (4 × 10³) second
= 0.00025 second.
So, the period of the wave is 0.00025 second.
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if two adjacent frequencies of an organ pipe closed at one end are 550 hz and 650 hz, what is the length of the organ pipe? (vsound
The length of an organ pipe can be calculated using the formula:
L = v / (2f)
where L is the length of the pipe, v is the speed of sound in air, and f is the frequency of the pipe. To find the length of the pipe, we can use the average of the two frequencies as the frequency of the pipe:
f = (550 Hz + 650 Hz ) / 2 = 600 Hz
Assuming the speed of sound in air is approximately 340 m/s:
L = v / (2f) = 340 / (2 * 600) = 0.057 m
So, the length of the organ pipe is approximately 0.057 meters.
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What happens when a substance moves below its freezing point? And What happens when it moves above its boiling point???
When a substance moves below its freezing point, it undergoes a phase change from a liquid to a solid.
When a substance moves above its boiling point, it undergoes a phase change from a liquid to a gas.
What happens when a substance moves below its freezing point?When a substance moves below its freezing point, it undergoes a phase change from a liquid to a solid. This happens because the temperature is low enough that the energy of the particles in the liquid is insufficient to overcome the forces of attraction between them. As a result, they slow down, come together, and form a solid.
On the other hand, when a substance moves above its boiling point, it undergoes a phase change from a liquid to a gas. This occurs because the temperature is high enough to provide enough energy to the particles in the liquid to overcome the forces of attraction between them. The particles then move apart, form into a gas, and eventually escape into the atmosphere as a vapor.
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the radius of the planet mercury is 2440 km. its mass is 3.3 x 1023 kg. what is the gravitational field strength at the surface?
a 45.0-kg girl is standing on a 150-kg plank. the plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. the girl begins to walk along the plank at a constant velocity of 1.50 m/s to the right relative to the plank. (a) what is her velocity rela- tive to the surface of the ice? (b) what is the velocity of the plank relative to the surface of the ice?
(a) The relative velocity of Girl relative to the surface of the ice is given by: v = (1.50 m/s) * (45 kg / 195 kg) = 0.45 m/s
(b) The velocity of the plank relative to the surface of the ice is given by: v = (1.50 m/s) - (0.45 m/s) = 1.05 m/s
(a) To find the velocity of the girl relative to the surface of the ice, we must consider the motion of the plank.
The plank and the girl have a combined mass of 150 kg + 45 kg = 195 kg.
Since the girl is walking to the right at 1.50 m/s relative to the plank, her velocity relative to the surface of the ice is given by:
v = (1.50 m/s) * (45 kg / 195 kg) = 0.45 m/s
(b) To find the velocity of the plank relative to the surface of the ice, we must subtract the velocity of the girl relative to the surface of the ice from the velocity of the girl relative to the plank.
The velocity of the plank relative to the surface of the ice is given by:
v = (1.50 m/s) - (0.45 m/s) = 1.05 m/s
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does putting batteries in the freezer recharge them?
Simply put, no. Try not to be hard on you if this is the first time you've heard it; in some cases, a belief was once accurate. A bulk of energy storage units kept in fridge are basic AA, AAA, C, & D batteries.
What three types of batteries are there?There are three main battery kinds that may be used by consumers. They are lithium ion, nickel metal hydride, and alkaline. Each kind has benefits and drawbacks. Each of them has a unique position in the history of technology.
What kind of battery is ideal?With the greatest energy density of just about any battery cell, lithium batteries are made of this very light metal. As a result, they have a higher energy capacity than battery systems or any other separate bat of a similar size. Additionally, they work admirably in the both cold and warm environments.
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Walter Cannon criticized the James-Lange theory on multiple points. Which one of the following is one of those criticisms?
Explanation:
Walter Cannon challenged the James-Lange theory, criticizing it on several grounds. Which of the following is one of those criticisms? Cannon pointed out that bodily reactions are similar for many emotions, yet our subjective experience of various emotions is very different.
you are snowboarding down a hill at 17 m/s when you start sliding across a frozen lake. the frictional force slowing you down is 22 n. if your mass is 75 kg, how far do you slide?
The statement "The normal Force on an item is equal towards its mass m 75" must appear on every page of this textbook if it is being redistributed in print.
What is a good illustration of physical force?of destructive physical forces include those that are swift and catastrophic, including both catastrophic event and operator mistakes (such as seismic events, or rocking or falling an object), as well as those that are slower acting with a small but frequent chance for destruction (such like improper handling during studies and educational use).
What does the Force symbolize?The Force is a symbolism for godhood, says Jennifer Porter, a professor of religious sciences at Memorial University in Newfoundland, "that connects and inspires [people] to have a deeper devotion to the godhood defined."
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