A solid spherical rolls down an inclined plane from rest without slipping. The radius of the sphere affects the angular velocity.
What do you mean by angular velocity?
Angular velocity is the speed at which an object rotates or revolves around an axis or alters the angle between two bodies.
The angle between a line on one body and a line on the other in the illustration serves as a representation of this displacement.
The length of the inclination affects the angular velocity. The mass of the sphere affects the angular velocity.
Thus, A solid spherical rolls down an inclined plane from rest without slipping. The radius of the sphere affects the angular velocity.
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Final answer:
The angular velocity of a solid sphere rolling without slipping down an incline depends on the sphere's radius and the incline's height, but not on the sphere's mass or the length of the incline.
Explanation:
When a solid sphere rolls without slipping down an incline, its angular velocity at the bottom depends on several factors. These factors include the radius of the sphere, the height of the incline, but not directly upon the mass of the sphere or the length of the incline (assuming it is long enough for the sphere to reach its maximum velocity due to gravity). The height of the incline determines the potential energy at the start, which converts into kinetic energy at the bottom. From the kinetic energy, we can find the linear velocity, and consequently the angular velocity, which is inversely proportional to the radius of the sphere.
The mass of the sphere does not directly affect angular velocity because both gravitational potential energy and rotational kinetic energy depend on mass in a way that it cancels out when calculating velocity. Similarly, the specific length of the incline does not determine the angular velocity at the bottom; rather, it is the vertical height that dictates the potential energy available for conversion to kinetic energy.
If while riding in a smooth-riding train, you toss a coin upward, the coin will normally land ______.
Final answer:
The coin will typically return to your hand.
Explanation:
When you toss the coin upward, it follows a parabolic trajectory due to the force of gravity acting on it. However, because you and the coin are moving at the same velocity and in the same direction as the train, no external horizontal forces are acting on the coin. As a result, the coin maintains its horizontal velocity relative to you throughout its motion. This means that while the coin moves vertically, its horizontal position relative to you remains unchanged. Consequently, as the coin descends, it will ultimately land back in your hand, following the same vertical path it took when tossed upward.
a girl pushes a cart to the left a 100-N force. a boy pushes it to the right with a 50-N force. The net force exerted on the cart is
If you slow the motion of water molecules down, they are more likely to become
If you slow the motion of water molecules down, they are more likely to become ice crystal.
What is heat energy?Most people use the term "heat" to describe anything that feels warm, but according to science, heat is the movement of energy from a heated object to a cooler one.
Heat energy is the only thing that results from the movement of tiny particles known as atoms, molecules, or ions in liquids, solids, and gases. One substance can absorb heat energy from another, and the flow caused by a temperature difference between two objects is referred to as heat.
Hence, If you slow the motion of water molecules down, the heat energy from water molecule is taken away and they are cooled down. And more likely, water molecules are froze down and turns into ice crystal.
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An object is projected horizontally at 8.0 m/s from the top of a 122.5 m cliff. how far from the base of the cliff will the object strike the ground?
A car traveling at 40.4 m/s skids to a stop in 3.34 s. Determine the skidding distance of the car. (Assume uniform acceleration ) Be sure to show your work.
Table tennis the path of a table-tennis ball after being hit and hitting the surface of the table can be modeled by the function h=-4.9t(t-0.42) where h is the height in meters above the table and t is the time in seconds. how long does it take the ball to hit the table?
We are given the equation:
h = -4.9 t (t – 0.42)
In this problem, to solve for the time when the ball hit the table, the height h must be equal to zero. That is, h = 0 so that:
0 = - 4.9 t (t – 0.42)
0 = (t – 0.42)
t = 0.42 seconds
How long does it take our solar system to make a complete orbit around our galaxy?
Please Help:
A torpedo fired from a submarine is propelled through the water at the speed of 20.00m/s it explodes on a target 100.0s away. if the sound of the explosion is heard on the sub at 101.4s after launch, what is the speed of sound in water?
You perform an experiment in which you find out how much mass evaporates from a liquid when it is placed in direct sunlight or in the shade. Which piece of technology is appropriate for gathering the experimental data you need? A. Tape measure B. Thermometer C. Computer D. Scale
Many of the technological advances over the last 50 - 75 years have been in the area of weaponry and warfare, such as atomic/nuclear weapons, radar, biological weapons, etc. These advances have both positive and negative aspects. Which statement describes a negative aspect of these advances? A) The advances in body armor protect individuals and prevent deaths that previously could not be prevented. B) Advances in communication and transportation have made it easier to prevent attacks and rescue those who need be rescued. C) Advances in satellite imagery have made desired targets easy to hit with little destruction of innocent life and property. D) The lingering radiation after detonation of atomic weapons destroys the land and continues to harm people and animals long after the blast.
Answer:
D
Explanation:
The labels of the axes in a line graph consist of _____. A. only the units of measurement B. only the variable name C. the variable name and units D.
the relationship shown
Answer:only the variable name
Compare the size of forces due to static, sliding, and rolling friction between two surfaces.
Static friction is the greatest and occurs when two surfaces are stationary relative to each other. Sliding or kinetic friction is typically less and happens when two surfaces are sliding against each other. Rolling friction is usually the least and occurs when an object rolls over a surface.
Explanation:When comparing the size of forces due to static, sliding, and rolling friction between two surfaces, it's important to note that different types of friction have different magnitudes. Static friction occurs when two surfaces are stationary relative to each other and it tends to be the greatest type of friction. This is due to the fact that it is overcoming the initial force that keeps an object at rest.
On the other hand, sliding friction or kinetic friction, is typically less than static friction. This type of friction happens when two surfaces are sliding against each other. As the surfaces are in motion, it's easier to maintain that motion, thus requiring less opposing force.
Lastly, rolling friction is generally the least among the three. It occurs when an object rolls over a surface, such as a wheel over a road. Because only a small portion of the object is in contact with the surface at any given time, there is less surface area creating resistance, and thus less friction. However, the actual magnitude of these forces depends on the specific materials of the two surfaces in contact and the normal force acting on the objects.
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How much heat energy (in megajoules) is needed to convert 7 kilograms of ice at –9°C to water at 0°C?
A rock falls freely from rest near the surface of a planet where acceleration due to gravity is 4.0 meters per second per second. what is the speed of this rock after it falls 32 meters?
The speed of the rock after it has fallen [tex]32\text{ m}[/tex] near the surface of the planet is [tex]\boxed{16\text{ m/s}}[/tex].
Explanation:
Given:
The acceleration due to gravity on the surface of the planet is [tex]4.0\text{ m/s}^2[/tex].
The distance through which the rock falls is [tex]32\text{ m}[/tex].
Concept:
As the rock falls near the surface of he planet, it falls freely under the action of the acceleration due to gravity i.e. the gravitational pull of the planet acting on the rock.
The acceleration due to gravity is different on the surface of the different planets. It depends on the mass and radius of the particular planet.
The final speed of the rock after falling through a particular distance is given by the third equation of motion.
[tex]\boxed{v_f^2=v_i^2+2gS}[/tex]
Here, [tex]v_f[/tex] is the final velocity of rock, [tex]v_i[/tex] is the initial velocity, [tex]g[/tex] is the acceleration due to gravity on planet and [tex]S[/tex] is the distance covered by the rock.
As the rock falls from the rest, the initial velocity of the rock will be zero.
Substitute the values in above expression.
[tex]\begin{aligned}v_f^2&=(0)^2+2(4)(32)\\v_f&=\sqrt{256}\\&=16\text{ m/s}\end{aligned}[/tex]
Thus, The speed of the rock after it has fallen [tex]32\text{ m}[/tex] near the surface of the planet is [tex]\boxed{16\text{ m/s}}[/tex].
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Laws of motion
Keywords:
acceleration, gravity, rock, planet, surface, equation of motion, initial, final, distance, velocity, 32 m, 16 m/s.
The speed of a rock falling 32 meters on a planet with 4.0 m/s² gravity is 16 m/s.
To determine the speed of a rock that falls freely from rest near the surface of a planet where the acceleration due to gravity is 4.0 meters per second squared, we can use the following kinematic equation:
v² = u² + 2as
Here:
v is the final velocityu is the initial velocity (0 m/s as the rock falls from rest)a is the acceleration due to gravity (4.0 m/s²)s is the distance fallen (32 meters)Substituting in the given values:
v² = 0 + 2 × 4.0 m/s² × 32 m
v² = 256
Taking the square root to find the speed:
v = √256
v = 16 m/s
Therefore, the speed of this rock after falling 32 meters is 16 meters per second.
How many joules are in 1 kilowatt hour?
The earth is made mostly of metals and rocks. Where did this material come from? It was made by nuclear fission of uranium and other radioactive materials. It was produced in the Big Bang. It was created by chemical reactions in interstellar space. It was made by our Sun. It was produced by nuclear fusion in stars.
The Earth is composed largely of metals and silicate rock, primarily formed from hydrogen and helium, the simplest elements present from the inception of the universe during the Big Bang. Over time, inside the stars, nuclear reactions fusing these elements resulted in the creation of heavier elements, such as silicon and iron. Elements heavier than iron are synthesized through the powerful explosions of supernovas.
Explanation:The earth is composed largely of metals and silicate rock which were formed from hydrogen and helium, the simplest elements present from the inception of the universe during the Big Bang. Over time, inside the vastness of the stars, nuclear reactions fusing these elements resulted in the creation of heavier elements, such as silicon and iron which constitutes most of Earth's materials. This process is known as nucleosynthesis.
As time passes, the proportion of these heavier elements in the raw materials that make new stars and planets increases. Therefore, it can be said that Earth, with its abundance of heavier elements, was only possible after generations of stars had a chance to make and recycle their heavier elements.
Finally, elements heavier than iron are synthesized through the powerful explosions of supernovas. So, in essence, all of Earth's components and our very existence can be traced back to the stars and the nuclear reactions within them.
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) what is kinetic energy, and how does it differ from potential energy?
Objects on the moon's surface have an acceleration due to gravity one-sixth that on the earth's. What would the 50.0 kg boy weigh on the moon?
Answer: 80 N
Explanation:
The acceleration due to gravity on Earth is [tex]g=9.8 m/s^2[/tex]. On the Moon, it is 1/6 that on the Earth, so the acceleration due to gravity on the Moon is
[tex]g'=\frac{1}{6}g=\frac{1}{6}(9.8 m/s^2)=1.6 m/s^2[/tex]
The weight of the boy on the moon can be calculated as
[tex]W'=mg'[/tex]
where m=50 kg is the boy's mass. By substituting in the formula,
[tex]W'=(50 kg)(1.6 m/s^2)=80 N[/tex]
A solar-powered car is traveling at constant speed around a circular track. what happens to the centripetal acceleration of the car if the speed is doubled?
a. the centripetal acceleration remains the same.
b. the centripetal acceleration increases by a factor of 2.
c. the centripetal acceleration is decreased by a factor of one-fourth.
d. the centripetal acceleration increases by a factor of 4.
e. the centripetal acceleration is decreased by a factor of one-half. answer:
If a scale of the solar system was built where 1 mm equaled 1 mile, could the model be practically built in a city?
Answer:
No
Explanation:
Given the relative scale (1mm = 1mile) lets calculate the size of the Sun and distance of planets from the Sun in mm.
Diameter of Sun = 864938 miles = 864938 mm = 864.938 meters
Distance of Earth from the Sun = 92955810 miles = 92955810 mm = 92.955 km = 57.75 miles
Distance of Jupiter from Sun = 480000000 miles = 480000000 mm = 480 km = 298 miles
As can be seen, the magnitude of scaled down distances is too huge to fit inside a city.
It will not be practically possible to make such a model.
The sun has more mass than earth, which has more mass than the moon. if the distance between each object was the same, which gravitational force would be the largest?
What is the approximate wavelength of a light whose second-order dark band forms a diffraction angle of 15.0° when it passes through a diffraction grating that has 250.0 lines per mm?
Answer:
Homeboy up top was right its 414nm^^^
Explanation:
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The scientist who incorrectly theorized that it was the positive charge that moved through a circuit was...
If the planet mars is about 56 million kilometers from earth how long would it take for a radio wave sent from a space satellite circiling mars to reach earth
Who is credited with being the first person to accurately determine earth's circumference?
An object placed on an equal-arm balance requires 12 kg to balance it. when placed on a spring scale, the scale reads 12 kg. everything (balance, spring scale, set of masses and object) is now transported to the moon, where the force of gravity is one-sixth that on earth. the new readings of the balance and spring scale (respectively) are:
What color of light in the visible spectrum appears brightest?
What physical law(s) predicts the conservation of momentum?
3. The function of the _______ is to convert the up-and-down motion of the piston into rotary motion that can be used to power the vehicle.
Ilya and Anya each can run at a speed of 8.30 mph and walk at a speed of 3.30 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.
How long does it take Anya to cover the distance of 5.00 miles ?
How long does it take Ilya to cover the distance?
Find Ilya's average speed.