a 2 kg solid ball (solid like a bowling ball) is rolling down a horizontal street at 7.5 m/s. what is its total kinetic energy? note: you can find moments of inertia in the reading.
Answers
Thus, the total kinetic energy of the solid ball rolling down the horizontal street at 7.5 m/s is 78.75 J.
To calculate the total kinetic energy of the solid ball, we need to use the formula:
KE = 0.5 * I * w^2
where KE is the kinetic energy, I is the moment of inertia, and w is the angular velocity.
Since the ball is rolling down a horizontal street, it has both translational and rotational kinetic energy. To find the total kinetic energy, we need to add these two energies together.
The translational kinetic energy is given by:
KE_t = 0.5 * m * v^2
where m is the mass of the ball and v is its velocity. Plugging in the values given in the question, we get:
KE_t = 0.5 * 2 kg * (7.5 m/s)^2 = 56.25 J
To find the rotational kinetic energy, we need to calculate the moment of inertia of the solid ball. According to the reading, the moment of inertia of a solid sphere is:
I = 2/5 * m * r^2
where r is the radius of the sphere. Since the question doesn't give us the radius of the ball, we can't calculate the moment of inertia directly. However, we can use the fact that the ball is rolling without slipping to relate its linear velocity to its angular velocity.
The relationship between linear velocity and angular velocity is:
v = r * w
where v is the linear velocity, r is the radius, and w is the angular velocity. For a rolling ball, the linear velocity at the bottom of the ball is equal to the angular velocity times the radius:
v = r * w = 7.5 m/s
This allows us to find the radius of the ball:
r = v / w = 7.5 m/s / w
Now we can use the moment of inertia formula to find the rotational kinetic energy:
KE_r = 0.5 * I * w^2 = 0.5 * 2/5 * m * r^2 * (v / r)^2 = 0.2 * m * v^2
Plugging in the values given in the question, we get:
KE_r = 0.2 * 2 kg * (7.5 m/s)^2 = 22.5 J
Finally, we can find the total kinetic energy by adding the translational and rotational kinetic energies:
KE_total = KE_t + KE_r = 56.25 J + 22.5 J = 78.75 J
Therefore, the total kinetic energy of the solid ball rolling down the horizontal street at 7.5 m/s is 78.75 J.
Know more about the kinetic energy
https://brainly.com/question/25959744
#SPJ11
Related Questions
When1.42gofironreactswith1.80gofchlorine,3.22gofFeCl2(s)and8.60kJofheatisproduced.What is the enthalpy change for the reaction when 1 mole of FeCl2(s) is produced?
Answers
The enthalpy change for the reaction when 1 mole of FeCl₂(s) is 433.6 kJ/mol.
What is reaction?Reaction is the process of responding to a stimulus or action. It is an immediate response that is often instinctive and largely involuntary. Reaction is a natural process that helps us to adapt to our environment and survive. It can be physical, such as a reflex action, or emotional, such as feeling happy or sad.
The enthalpy change for a reaction is calculated by dividing the total amount of heat produced by the number of moles of product produced. In this case, 8.60 kJ of heat was produced when 1.42 g of iron reacted with 1.80 g of chlorine, yielding 3.22 g of FeCl₂(s). To calculate the enthalpy change per mole, we must convert the mass of FeCl₂(s) to moles. We can do this by taking the mass of FeCl₂(s) and dividing it by the molar mass of FeCl₂(s), which is 162.20 g/mol.
(3.22 g FeCl₂(s)) / (162.20 g/mol FeCl₂(s)) = 0.0198 mol FeCl₂(s)
We can now calculate the enthalpy change for the reaction when 1 mole of FeCl₂(s) is produced.
Enthalpy change = (8.60 kJ of heat) / (0.0198 mol FeCl₂(s)) = 433.6 kJ/mol.
To learn more about reaction
https://brainly.com/question/2051941
#SPJ4
How to find velocity from acceleration time graph.
Answers
Answer:
We can only find the change in velocity by the area under the acceleration time graph by calculating the area under the curve to the given time. Then by the formula of the difference in the final and initial velocity you can find the final velocity of the object in the given time period.
looking at your energy diagram, what is the relationship between wavelength and length of arrow? explain in terms of principal quantum numbers (shells), energy and wavelength.
Answers
The wavelength is inversely proportional to the length of arrow. The length of the arrow is showing energy.
The wavelength is inversely proportional to the length of arrow. The length of the arrow is showing energy. We can see that the wavelength is inversely proportional to the energy in the energy diagram. The amount of energy is directly proportional to the photon’s electromagnetic frequency and thus, equivalently, is inversely proportional to the wavelength. The higher the photon’s frequency, the higher its energy. Wavelength is inversely proportional to frequency and energy, so the arrow in the wavelength column faces in the opposite direction to the other two.
Learn more about Energy:
brainly.com/question/1932868
#SPJ4
Two people carry identical 40.0N boxes up the ramp. The ramp is 2.00m long and 1.00m high. Person A walks up the ramp in 2.00s. Person B walks up the ramp in 4.00s. What is the difference in power the two people use to carry the boxes up the ramp
Answers
The difference in power for two people carrying the boxes up the ramp is 30 W.
Given the following data:
W = 40.0 N is the weight of a box.
The ramp's length is L = 2.00 m.
The platform height is h = 1.0 m.
t = 2.0 s is the time interval for the first person.
t' = 4.0 s is the time interval for the other person.
Power is the rate at which energy is used. The expression for the Power is given in the given question as,
P = W×(L+h)/t
Assume that you are solving for the first person.
P₁ = W(L+h)/t₁.................................................................. (1)
Substitute the following values into equation (1):
P₁ = 40(2+1)/2
P₁ = 20(3) (3)
P₁ = 60 W.
Regarding the second person,
P₂ = W(L+h)/t₂..................................................................... (2)
Fill in the blanks in equation (2) as follows:
P₂ = 40(2+1)/4
P₂ = 10*(3) *3)
P₂ = 30 W
Obtaining the difference in power as
P = P₁ - P₂
P = 60-30
P = 30 W
As a result, we can conclude that the difference in power for two people carrying the boxes up the ramp is 30 W.
Learn more about power here:
https://brainly.com/question/287674
#SPJ4
A 414 kg bear grasping a vertical tree slides down at constant velocity. The acceleration of gravity is 10 m/s 2 . What is the friction force that acts on the bear
Answers
Frictional force is defined as the resistance to motion that occurs between any two surfaces that are in contact. In this case, we have a bear sliding down a tree at constant velocity. This means that the force of friction acting on the bear is equal in magnitude and opposite in direction to the force of gravity pulling the bear down.
Using Newton's second law, we can calculate the force of gravity acting on the bear F = ma F = 414 kg * 10 m/s^2F = 4140 N Since the bear is sliding down the tree at constant velocity, the force of friction must be equal to the force of gravity: friction = 4140 N Therefore, the friction force acting on the bear is 4140 N. This force acts in the opposite direction to the force of gravity, which allows the bear to slide down the tree at a constant velocity In physics, frictional force is defined as the resistance to motion that occurs between any two surfaces that are in contact.
In this case, we have a bear sliding down a tree at constant velocity. This means that the force of friction acting on the bear is equal in magnitude and opposite in direction to the force of gravity pulling the bear down. Let's take a closer look at how we can calculate the friction force acting on the bear. Using Newton's second law, we know that force is equal to mass times acceleration (F = ma). We can use this equation to calculate the force of gravity acting on the bear. We know the mass of the bear is 414 kg, and the acceleration of gravity is 10 m/s^2. Therefore: gravity = ma F gravity = 414 kg * 10 m/s^2F_gravity = 4140 N This tells us that the force of gravity acting on the bear is 4140 N. Since the bear is sliding down the tree at constant velocity, the force of friction must be equal in magnitude and opposite in direction to the force of gravity. Therefore friction = 4140 N This tells us that the friction force acting on the bear is also 4140 N. This force acts in the opposite direction to the force of gravity, which allows the bear to slide down the tree at a constant velocity.
To know more about Frictional visit:
https://brainly.com/question/28356847
#SPJ11
A object was fired at 17ms at 40 degree angle horizontal , if object traveled 29meters how long was it in the air
Answers
What is radiation produces a wave full energy.
Answers
Answer:
electromagnetic radiation hopefully
If you toss a ball straight upward at 40 m/s with no air resistance, what will be its speed 7 seconds later?
Answers
The speed of the ball seven seconds later is 28.6 m/s.
What is the speed of the ball?We have the following information;
initial velocity of the ball = 40 m/s
time taken = 7 seconds
Acceleration of the ball = 9.8 m/s^2
Now;
v = u - gt (the ball is moving upwards)
v = 40 - (9.8 * 7)
v = 28.6 m/s
Learn more about acceleration:https://brainly.com/question/12550364?
#SPJ1
physics, calculate specific latent heat, question 1) a and b. diagram attached
Answers
The specific latent heat of fusion for the substance in question 1a is 80 kJ/kg, and the specific latent heat of vaporization for the substance in question 1b is 250 kJ/kg.
The specific latent heat of fusionThe specific latent heat of fusion is the amount of energy needed to change a unit mass of a substance from a solid to a liquid. The energy released when a unit mass of a substance changes from a liquid to a solid is the same as the energy required to change the substance from a solid to a liquid.In the diagram, the process of changing a substance from a solid to a liquid is represented by a. The energy required to change a unit mass of the substance from a solid to a liquid is equal to the area under the curve, abc.The amount of energy released when a unit mass of the substance changes from a liquid to a solid is represented by b. The specific latent heat of fusion is equal to the area under the curve, def.To calculate the specific latent heat of fusion, the area under the curve abc must be subtracted from the area under the curve def. This will give the amount of energy required to change a unit mass of the substance from a solid to a liquid. This amount of energy is equal to the specific latent heat of fusion.To learn more about The specific latent heat of fusion refer to:
https://brainly.com/question/87248
#SPJ1
A 15 kg child slides down a 5 m tall (vertical) slide that is inclined to the horizontal 34°. Her velocity is 5 m/s at the bottom of the sled. How much mechanical energy was lost to friction?
Answers
ANSWER
547.5 J
EXPLANATION
Given:
• The child's mass, m = 15 kg
,• The height of the slide, h = 5 m
,• The velocity of the child at the bottom of the slide, v = 5 m/s
Find:
• The loss of mechanical energy due to friction
The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,
\(PE-KE=mgh-\frac{1}{2}mv^2\)Replace the known values and solve,
\(PE-KE=15kg\cdot9.8m/s^2\cdot5m-\frac{1}{2}\cdot15kg\cdot5^2m^2/s^2=735J-187.5J=547.5J\)Hence, 547.5 Joules of energy were lost due to friction.
1. Two 500 g point masses are rotating on a light frame at a radius of 0.1 m from a vertical axis. The angular speed of the system is 20 rad s-1. a a) What is the moment of inertia of the system about the axis? b) What is the angular momentum of the system about the axis? c) If the masses were pulled into a radius of 0.05 m by an internal radial force, what would the angular momentum of the system now be? d) What is the new angular speed of each mass? e) By how much did the energy of the masses change?
Answers
(a) The moment of inertia of the system about the axis can be calculated using the formula for the moment of inertia of a point mass rotating about an axis.
(b) The angular momentum of the system about the axis can be determined by multiplying the moment of inertia by the angular speed.
(c) If the masses are pulled into a smaller radius, the moment of inertia will change, resulting in a new angular momentum for the system.
(d) The new angular speed of each mass can be calculated using the principle of conservation of angular momentum.
(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system.
(a) To calculate the moment of inertia of the system about the axis, we consider the two point masses rotating at a given radius. The moment of inertia for each point mass is given by the formula I = m * r², where m is the mass and r is the radius.
Since there are two masses, we can calculate the total moment of inertia by summing the individual moments of inertia.
(b) The angular momentum of the system is determined by multiplying the moment of inertia by the angular speed. Using the formula L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular speed, we can find the angular momentum of the system.
(c) If the masses are pulled into a smaller radius, the moment of inertia will change. We can calculate the new moment of inertia using the same formula as in (a) but with the new radius. With the new moment of inertia, we can determine the new angular momentum of the system.
(d) To find the new angular speed of each mass, we apply the principle of conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum. By rearranging the equation L = I * ω and solving for ω, we can calculate the new angular speed.
(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system. The initial kinetic energy is given by (1/2) * I * ω², where I is the initial moment of inertia and ω is the initial angular speed.
Similarly, the final kinetic energy can be calculated using the new moment of inertia and angular speed. The difference between the initial and final kinetic energies represents the change in energy of the masses.
Learn more about system
brainly.com/question/7589753
#SPJ11
PLEASE HELP THIS IS DUE LIKE HELP ME PLEASE
On the image at the right, select the point where the pendulum swings fastest. Then, select two points with a velocity is zero.
Answers
Answer:
At the end points of motion (either side) the velocity must be zero because the velocity is changing from - to + (it can't turn around around without passing thru zero,
The velocity will then increase to the midpoint of the motion.
m g h = 1/2 m v^2 where h is the vertical distance thru which the pendulum travels
describe how air resistance would affect a falling object
Answers
Answer:
With air resistance, acceleration throughout a fall gets less than gravity (g) because air resistance affects the movement of the falling object by slowing it down. How much it slows the object down depends on the surface area of the object and its speed
Explanation:
PLZ MARK AS THE BRAINLIEST
HAVE A GOOD DAY
: )
A flux of 0.6Wb passes through a motor field pole with an area of 120 cm2. Calculate the flux density
Answers
We will have that the flux density will be:
\(^{}\rho=\frac{0.6Wb}{120cm^2}\Rightarrow\rho=5\cdot10^{-3}Wb/cm^2\)What is the Atomic Mass / Weight for silver? *Round your answer to the nearest whole number
Answers
What is the relationship between changes in air pressure in wind speeds, answers, when a high and low pressure, air mass or close together. It moves slowly from high to low pressure, when I have high and low pressure MS are far apart and is quickly from low to high pressure, when a high and a low pressure area, so far apart, and move slowly from high to low pressure, when a high in a low
Answers
Answer:
Explanation:
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
Answer:
points are needed
Explanation:
The energy transferred by a force to a moving object
Answers
Answer:
kinetic energy
Explanation:
Find the depth of water at which an air of radius 0.003m bubble may remain in equilibrium (surface tension=0.072Nm,gravity=9.8gs²)
Answers
Answer:
h = 0.047 m
Explanation:
It is given that,
Radius of an air bubble is 0.0003 m
The surface tension of water is \(7\times 10^{-2}\ N/m\)
We need to find the depth at which an air bubble of radius 0.0003 m will remain in equilibrium in water. Let it is given by h.
Pressure due to surface tension is given by :
\(P=\dfrac{2T}{R}\) .....(1)
T is surface tension
Also, pressure due to a height is given by :
\(P=\rho gh\)
So, equation (1) becomes :
\(\rho g h=\dfrac{2T}{R}\)
So,
\(h=\dfrac{2T}{\rho gR}\)
\(h=\dfrac{2\times 7\times 10^{-2}}{10^3\times 9.8\times 0.0003}\\\\h=0.047\ m\)
So, the depth is 0.047 m.
suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. it moves by you at 0.980c and it lives 1.24 x 10-8 s when at rest relative to an observer. how long does it live as you observe it?
Answers
In relation to an observer, it takes 2.3727*10^-8 seconds at rest. to exist as you see it. Because cosmic radiation that strikes the atmosphere produces a particle known as a kaon.
Radiation from space is one natural source of radiation. High-energy charged particles, x-rays, and gamma rays are all components of cosmic radiation, which are created in space. The earth receives secondary radiation that is created when charged particles interact with the atmosphere. The stars, including our own sun, emit cosmic radiation. A particle is a small, localized item that can have many physical or chemical qualities, such as volume, density, or mass. The term particle—or corpuscule in older texts—is used in the physical sciences. The size or number of them varies widely.
T = t/(1-(v^2/c^2)
^1/2 = 1.375*10^-8/0.5795
T = 2.3727*10^-8sec
Learn more about particle here
https://brainly.com/question/1685421
#SPJ4
Find a unit vector perpendicular to the vectors given A=4i+2j+2k and B=4i-4j+8k.
Answers
The cross product of A and B is perpendicular to both A and B.
A × B = (4i + 2j + 2k) × (4i - 4j + 8k)
A × B = 16 (i × i) - 16 (i × j) + 32 (i × k) + 8 (j × i) - 8 (j × j) + 16 (j × k) + 8 (k × i) - 8 (k × j) + 16 (k × k)
A × B = -16 (i × j) - 32 (k × i) - 8 (i × j) + 16 (j × k) + 8 (k × i) + 8 (j × k)
A × B = -16k - 32j - 8k + 16i + 8j + 8i
A × B = 24i - 24j - 24k
The magnitude of A × B is
||A × B|| = 24 ||i - j - k|| = 24√3
Dividing A × B by its magnitude gives a unit vector,
(A × B)/||A × B|| = 1/√3 (i - j - k)
A crowbar moves a distance of .35 meter to lift a load .05 meters off the ground.
what is the ideal mechanical advantage of the crowbar?
Answers
The ideal mechanical advantage of the crowbar will be 0.7.IMA is also equal to the distance traveled by the load divided by the distance traveled by the effort.
What is ideal mechanical advantage?The ideal mechanical advantage of a lever is equal to the length of the effort arm divided by the length of the resistance arm.
The ideal mechanical advantage is found as;
\(\rm IMA=\frac{0.35}{0.5} \\\\ IMA=0.7\)
Hence,the ideal mechanical advantage of the crowbar will be 0.7.
To learn more about ideal mechanical advantage, refer:
https://brainly.com/question/6968974
#SPJ1
A race car has a mass of 710 kg. It starts from rest and travels 40 m in 3.0 s. The car is uniformly accelerated during the entire time. What net force is applied to it
Answers
The net force applied to it is 6311.9 N.
To calculate the net force to the car, first, we need to find the acceleration using the equation of motion.
Force: This as be defined as the product of mass and acceleration of a body. The S.I unit of force is Newton (N)
⇒ Formula
S = ut+at²/2................. Equation 1⇒ Where:
u = Initial velocityS = Distancet = Timea = accelerationFrom the question,
⇒Given:
S = 40 mt = 3.0 su = 0 m/s (at rest)⇒ Substitute these values into equation 1
40 = 0(3)+a(3²)/2⇒ Solve for a
9a = 80a = 80/9a = 8.89 m/s²⇒ To get the force, we use the formula below
F = ma .................... Equation 2⇒ Where:
F = Force appliedm = mass of the car⇒ Given:
m = 710 kga = 8.89 m/s²⇒ Substitute these values into equation 2
F = 710(8.89)F = 6311.9 NHence the net force applied to it is 6311.9 N.
Learn more about force here: https://brainly.com/question/13370981
An atom’s emission of light with a specific amount of energy confirms that
Answers
Answer: An atom's emission of light with a specific amount of energy confirms that atoms must have a dense central mass surrounded by electrons at a distance
plz mark brainliest
Answer:
It's B, electrons emit and absorb energy based on their position around the nucleus.
The Tacoma narrows bridge collapsed due to?
A. Refraction
B. Reflection
C. Diffraction
D. Resonance
Answers
Answer:
i think its resonance but if im wrong its my fault
Explanation:
For a series circuit, as lights are added, the voltage across each bulb increases/ decreases/ remains the same ?
For a series circuit, as lights are added, the current across each bulb increases/ decreases/ or remains the same ?
Answers
For a series circuit, as lights are added, the current across each bulb decreases.
help me please (*￣(ｴ)￣*)
Answers
Answer:
1) Are always conservative
Explanation:
Elastic forces are always conservative.
Hope it helps you.
please mark as the brainliest answer.
A physics student stands at the top of a set of bleachers. They drop a basketball and it lands 2.4 seconds later.
d.) How high are the bleachers ?
e.) How fast was the basketball traveling at the time it landed ?
Answers
Answer:
x=48.12 m
Vf=23.544 m/s
Explanation:
a=g
t=2.4
Vf=?
Vø=0
Vf=Vø+at
Vf=0+(9.81)(2.4)=23.544
x=Xø+Vøt+1/2at^2
x=1/2at^2
x=(1/2)(9.81)^2=48.11805
7) Find F1 and F2
HELP PLEASEEE
Answers
The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.
What is force?Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.
If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.
The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.
F2 = 45 cos 30 = 38.9 N.
To find more on force, refer here:
https://brainly.com/question/28875770
#SPJ1
A box of mass m is held at rest on a frictionless surface with force F up the ramp. The ramp has an angle
What is the magnitude of the normal force?
Choose 1 answer:
Answers
The magnitude of the normal force is to be considered as the mg cos θ when the box of mass m is at rest.
What is magnitude?In terms of physics, it refer to the maximum size where it should be extended also it defined the object direction. It is factor for vector and the scalar quantities.
When the box of mass m should be at rest so here the ramp should be an angle so here the weight should be perpendicular to the string.
hence, The magnitude of the normal force is to be considered as the mg cos θ when the box of mass m is at rest.
Learn more about magnitude here: https://brainly.com/question/14576767
Explain what is weight? How is it different from
mass?
Answers
Answer:
The difference between mass and weight is that mass is the amount of matter in a material, while weight is a measure of how the force of gravity acts upon that mass. Mass is the measure of the amount of matter in a body. Mass is denoted using m or M.
Explanation:
Answer:
he mass is essentially "how much stuff" is in an object. Weight = There is a gravitational interaction between objects that have mass. If you consider an object interacting with the Earth, this force is called the weight.
Explanation:
Your mass is the same no matter where you go in the universe; your weight, on the other hand, changes from place to place.