A wheel with a radius of 0.13 m is mounted on a frictionless, horizontal axle that is perpendicular to the wheel and passes through the center of mass of the wheel. The moment of inertia of the wheel about the given axle is 0.013 kg⋅m 2
. A light cord wrapped around the wheel supports a 2.4 kg object. When the object is released from rest with the string taut, calculate the acceleration of the object in the unit of m/s 2
.
Answers
The wheel's mass is 2 kg with wheel with a radius of 0.13 m and a moment of inertia of 0.013 kg⋅m² about a frictionless, horizontal axle passing through its center of mass.
The moment of inertia (I) of a rotating object represents its resistance to changes in rotational motion. For a solid disk or wheel, the moment of inertia can be calculated using the formula
\(I = (1/2) * m * r²,\)
Where m is the mass of the object and r is the radius. In this case, the given moment of inertia (0.013 kg⋅m²) corresponds to the wheel's rotational characteristics. To find the mass of the wheel, we need to rearrange the formula as
\(m = (2 * I) / r²\)
. Plugging in the values, we get
\(m = (2 * 0.013 kg⋅m²) / (0.13 m)²\)
\(= 2 kg\)
To know more about moment of inertia
brainly.com/question/30051108
#SPJ11
Related Questions
Ball A is negatively charged and ball B is electrically neutral. What happens to the charges of both balls when they come into contact with each other if:
(a) they are made of an electrical conductor
describe what will happen
(b) they are made of insulator
describe what will happen
Answers
Answer:
ans for A)
Ball A being negatively charged and Ball B being neutral
when they come into contact.... electrons from the ball A will transfer to ball B and since they are covered by an electrical conductor... their contact will form a joint pathway for electric charge to be transferred to another object.
Answer: i think A
Explanation:
Set your friction bar to medium , selct one 50k crate , and slowly apply rightward force using the right arrow button
Answers
Before starting to move a crate using the right arrow button, we need to set the friction bar to medium. This is because friction is a force that opposes motion. Hence, if the crate is too heavy and the friction is low, the crate won't move easily.
Similarly, if the crate is too light and the friction is high, we need to apply more force to move it. Therefore, we should adjust the friction to a medium level which will allow us to move the crate with ease. After setting the friction to medium, the next step is to select a 50k crate. This is important because different crates have different weights. So, if we select a crate that is too heavy, it will be hard to move it even if the friction is set to medium.
Similarly, if we select a crate that is too light, we might have to apply more force than necessary to move it. Therefore, selecting a 50k crate is a good balance between weight and ease of movement.
Finally, once we have selected a 50k crate and set the friction to medium, we can slowly apply rightward force using the right arrow button. This is because we want to avoid applying too much force at once which might cause the crate to move too fast and become hard to control. By applying force slowly, we can ensure that the crate moves in the desired direction and speed.
To know more about friction, refer
https://brainly.com/question/24338873
#SPJ11
Q2 (a) A radar, with coordinates (0,0), has coverage with length of d. While the second radar, with identical coverage, is situated on the east side of the first one. Using signal intersection, both radars detect an object coming closer to the southern direction in the first quadrant. Note that radars swap the covered area into circles.
i) Identify position of the object in terms of distance and angle. Complete your answer with a sketch.
ii) Analyze and calculate the overlapping area from the radar signals intersection at the first quadrant.
Answers
Considering the coordinates of the radars as well as the direction of the object in order to determine the object's position in terms of distance and angle. Sincе thе radars arе situatеd at (0,0) and thе sеcond radar is on thе еast sidе of thе first onе, wе can assumе that thе first radar is locatеd on thе x-pivot and thе sеcond radar is locatеd on thе positivе y-hub.
Lеt's say thе objеct is dеtеctеd at coordinatеs (x, y). The objесt's y-coordinativity will be negative and its x-coordinativity positive as it approaches the southern direction in the first quadrant.
We can use the distancе formula to determine the object's diameter from its origin (0, 0):
Distancée = (x + y) 2 The angle can be calculated with trigonometry. The angle can be summarized as:
= arctan(y/x) ii) We must consider the circles of overlap for each radar in order to calculate the overlap from the radar signal intersection in the first quadrant.
Due to the fact that both radars have distinctive overlap and divide the covered area into circles, the overlapped area will be the intersection of these circles.
Thе ovеrlapping arеa can bе calculatеd by finding thе arеa of thе intеrsеction of two circlеs. The formula for the area of the intersection of two circles can be complex and depends on the specific radii and dimensions that exist between the circles' centers.
To know more about radars, visit:
brainly.com/question/31783853
#SPJ4
What came first, a chicken or an egg
Answers
Answer:
a chicken
a chicken came first
Answer:
A Chicken
A chicken came first
Mrs. Fatima has a a small sports car that she uses to drop her kids off from school that has a mass of 5000 kg. Mr. Zaid drives a truck with a mass of 4200 kg. If the two vehicles are travelling down the road, side by side, at a speed of 75 km/hr, which one will have the most momentum? Explain *
Answers
\(\textbf{Use equation of momentum}\)
\(p=mv\)
\(\text{momentum\ =\ mass x velocity}\)
\(\textbf{Substitute in the values}\)
\(5000 \times 75 = 375,000 \text{\ kg\ km/hr}\)
\(4200 \times 75 = 315,000 \text{\ kg\ km/hr}\)
\(\textbf{The\ small\ sports\ car\ will\ have\ the\ most\ momentum.}\)
Amy put some salt in a weighing dish. Then she put the weighing dish on a sensitive balance to measure the mass of the salt. She removed the weighing dish from the balance and put it in several similar balances. She recorded the mass each time. Mass 1 Mass 2 Mass 3 Mass 4 Masse 5 5.608 g 5.607 g 5.608 g 5.608 g 5.609 g Amy forgot to subtract the mass of the empty weighing dish from her measurements, and she reported the mass of the salt as 5.608 grams. Amy's measurement of the salt's mass accurate because . Amy's measurement of the salt's mass precise because .
Answers
Answer:
Explanation:
i. Accuracy in measurement is a term that is used to describe the closeness of a measured value to its actual value. It relates the actual value to the measured values.
Therefore in the given question, Amy's measurement of the salt's mass is accurate because her final value is close to all the measured values.
ii. Precision in measurement is a term that is used to describe the closeness of different measured values to each other. It relates the keenness in the measured values.
Thus, Amy's measurements of the salt's mass is precise because the values of the masses are close to one another.
What does oxygen deficit represent?
Answers
Answer: It represents a small amount of oxygen being taken into the body when the body consumes more oxygen than what is being intake
Explanation: to be deficit means the amount of something is too small and there for oxygen deficit is a too small amount of oxygen.
Calculate the potential energy of a rock with a weight of 63 N while sitting on a cliff that is
30 m high
Answers
Answer:
18522 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 63 × 9.8 × 30
We have the final answer as
18522 JHope this helps you
SECTION 3 REVIEW
34. MAINIDEA Hold a ball motionless in your hand in the
air as in Figure 20. Identify each force acting on the ball
and its interaction pair.
Answers
The forces that act on the ball as it is held motionless is the weight and the normal reaction.
What is the force acting on the ball?We now that force is a vector quantity. This implies that force has magnitude and it also has direction. The direction of the force is what makes it possible for us to resolve a force into its components in the vertical and the horizontal planes.
In this case, when we hold the ball motionless, the forces that act on the ball are the weight of the ball and the normal reaction on the ball. The weight acts downwards while the normal reaction acts upwards.
Learn more about force:https://brainly.com/question/13191643
#SPJ1
If you change the 2 in front of 2O2 to a 3, what will be the change in the results on the right side of the equation?
A.) There are now 3CO2 molecules
B.) Nothing changes in the equation
C.) There is an extra O2 molecule left over
D.) There are now 3H2O molecules
Answers
The number of atoms on either side of the reaction equation must match for there to be a balanced reaction equation.
The correct option is C.
What called molecules?Whether it originate from the same element or another, two or more chemically bonded atoms make up a molecule. For instance, the combination of two atoms of hydrogen and an oxygen atom yields one mole of a material.
Do molecules have the name mole?Among the first things you discover in chemistry is this: Because atoms and molecules are so little, numbering them by the trillions and trillions is as useless as counting them one by one because even a few milligrams of a substance contain so many atoms or molecules. Therefore, chemists employ a unit known as the mole.
To know more about Molecules visit:
https://brainly.com/question/19922822
#SPJ4
How does the Flash run faster than light if the law is "Thy shall not go faster than light"
Answers
Answer: He's a superhero in a fictional world
Explanation: Superheroes, such as Superman and Flash, defy physics because they were created as a form of entertainment. The DC world isn't realistic. Don't think too much on it.
the ultraviolet radiations in the stratosphere are absorbed by:
Answers
The ultraviolet (UV) radiations in the stratosphere are primarily absorbed by a layer of gas called the ozone layer.
The ozone (O3) molecules in the ozone layer have the ability to absorb UV radiation, particularly in the UV-C and most of the UV-B regions of the electromagnetic spectrum. When UV radiation interacts with ozone molecules, it can cause the breaking and reformation of ozone bonds, resulting in the absorption of UV energy.
This absorption process is important because it prevents a significant amount of UV radiation from reaching the Earth's surface. It acts as a protective shield against harmful UV rays that can have detrimental effects on living organisms, including increased risk of skin cancer, cataracts, and damage to marine ecosystems.
It's important to note that not all UV radiation is absorbed by the ozone layer. Some UV-B and a majority of UV-A radiation reach the Earth's surface, but they are less harmful compared to the shorter wavelength UV-C radiation that is almost entirely absorbed by the ozone layer.
Hence, The ultraviolet (UV) radiations in the stratosphere are primarily absorbed by a layer of gas called the ozone layer.
To know more about ultraviolet (UV) radiations here
https://brainly.com/question/4144192
#SPJ4
An alpha particle travels at a velocity of magnitude 440 m/s through a uniform magnetic field of magnitude 0.052 T. (An alpha particle has a charge of charge of +3.2 x 10-19 C and a mass 6.6 x 10-27 kg) The angle between the particle's direction of motion and the magnetic field is 52°. What is the magnitude of (a) the force acting on the particle due to the field, and (b) the acceleration of the particle due to this force? (c) Does the speed of the particle increase, decrease, or remain the same? (a) Number P. Units (b) Number i Units < (c)
Answers
A) The force acting on the particle due to the field is 3.22 × 10-14 N.B) The acceleration of the particle due to this force is 4.89 × 1014 m/s2.(C) The speed of the particle remains constant.
The given data are,Velocity of alpha particle, v = 440 m/s
Magnetic field, B = 0.052 TCharge of alpha particle,
q = +3.2 x 10-19 C
Angle between velocity of alpha particle and magnetic field, θ = 52°
Mass of alpha particle, m = 6.6 x 10-27 kg(a) The formula for the force acting on the particle due to the field is given by,F = qvBsinθSubstitute the given values of q, v, B and θ in the above formula to obtain the force acting on the particle due to the field.
F = 3.2 × 10-19 × 440 × 0.052 × sin 52°F = 3.22 × 10-14 N
Therefore, the force acting on the particle due to the field is 3.22 × 10-14 N.(b) The formula for the acceleration of the particle due to this force is given by,a = F / mSubstitute the values of F and m in the above formula to obtain the acceleration of the particle due to this force.
a = 3.22 × 10-14 / 6.6 × 10-27a
= 4.89 × 1014 m/s2
Therefore, the acceleration of the particle due to this force is 4.89 × 1014 m/s2.
(c) The formula for the speed of a charged particle moving in a magnetic field is given by
v = (2qB/m)½ × sin θ
The speed of the alpha particle is given by,
v = (2 × 3.2 × 10-19 × 0.052 / 6.6 × 10-27)½ × sin 52°v
= 440 m/s
Therefore, the speed of the particle remains constant.
learn more about magnetic field
https://brainly.com/question/14411049
#SPJ11
why is it necessary that a force probe be calibrated?
Answers
Without calibration, the data would no longer be accurate since it would deviate from real values. Therefore, calibration is occasionally required.
A force probe measures weight in what ways?It converts an applied mechanical force—such as load, weight, tension, compression, or pressure—into another physical variable—in this case, an electrical output signal—that can be measured, converted, and standardized. The electrical signal changes in direct proportion to the force acting on the sensor.
What function does a force sensor serve?A load cell or weight sensor is often referred to as a force sensor. They are employed to gauge load, strain, and compression. A lot of them contain internal strain gauges that are attached to the metal structure and respond even to the smallest compression changing the resistance and reporting on the outcomes.
To know more about resistance visit:-
https://brainly.com/question/29427458
#SPJ4
In 1–2 sentences, explain how you could find the kinetic energy of a baseball when it hits a window.(2 points)
Answers
Answer: You could measure the baseball's mass, the distance the ball traveled to hit the window, and finally find the time it took for it to reach the window. With this information, we can calculate the velocity of the baseball, and then the kinetic energy using the formula KE=1/2mv^2.
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answers
Answer:
True
Explanation:
The spheres of the Earth are : Biosphere, Hydrosphere, Geosphere, and AtmosphereWater travels through liquid form only (known as water itself) through 3 spheresIt travels through the atmosphere in gas form (vapor) or liquid form itself as rainAnswer:
True
Explanation:
The four spheres of atmosphere are
Hydrosphere BiosphereGeosphereAtmosphereWater begins its journey from hydrosphere then goes through atmosphere, biosphere and geosphere respectively
Give an example of a positively charged object
Answers
White lights can sometimes be found on what kind of buoys?
a. daytime buoys
b. green buoys
c. red buoys
Answers
White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
How can we understand that White lights can sometimes be found on red buoys?Buoys consist of a float, mooring chain and anchor. They may be equipped with lights and/or sound signals such as bells, gongs, or whistles.We know that, Red buoys are found on the starboard side of a channel when entering from seaward and can be lighted buoys, nuns, or triangular daymarks. Red buoys, if lit, have red or white lights, and the light pattern can be fixed, flashing, occulting, quick–flashing, or of equal intervals.Thus from the above conclusion we can say that White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
Learn more about buoys here:
https://brainly.com/question/2721533
#SPJ1
an electron has a velocity of direction. what is the magnetic force (magnitude and direction) exerted on the electron?
Answers
The magnetic Lorentz force, which has a magnitude and direction, is applied to an electron with a direction and velocity. Magnetic fields are created by electric charges moving.
Other moving charges are subject to magnetic fields' forces. The magnetic Lorentz force is the influence a magnetic field has on a charge q travelling at a velocity v.
In honour of Dutch physicist Hendrik A. Lorentz, the electromagnetic force F acting on the charged particle as a whole is referred to as the magnetic Lorentz force and is calculated using the formula F = qE + qv B. The electric field is responsible for the first phrase. The magnetic field and velocity are both perpendicular to the direction of the second term, which is the magnetic force.
Learn more about magnetic Lorentz force here
https://brainly.com/question/13791875
#SPJ4
on the moon, an astronaut weighs 16.5 percent of what he or she weighs on earth. how does the inertia of the astronaut on the moon compare to that of the astronaut on earth?
Answers
The inertia of the astronaut on the moon is the same as that of the astronaut on Earth.
Inertia is the property of matter that describes its resistance to change in motion or state of rest. In simpler terms, it is the tendency of an object to continue to stay at rest or in motion unless acted upon by an external force. The greater the mass of an object, the greater its inertia, and the harder it is to change its state of motion. Inertia is a fundamental concept in physics and is described by Newton's first law of motion.
This is because inertia is a property of matter that is independent of gravity. It is determined by an object's mass, not its weight. Therefore, even though the astronaut weighs less on the moon due to the lower gravitational pull, his or her mass and therefore inertia remains the same.
To learn more about Inertia :
https://brainly.com/question/1140505
#SPJ11
Can you think of a way to explain Hubble's Law other than the
standard Big Bang idea, which includes the concept of a Universe
with no center and no edge?
Answers
An alternative way to explain Hubble's Law without relying on the standard Big Bang idea of a universe with no center and no edge is through the concept of a "tired light" hypothesis.
According to this hypothesis, the redshift observed in distant galaxies is not due to their motion away from us in an expanding universe, but rather the result of photons gradually losing energy as they travel through space.
In the tired light scenario, the wavelength of light is thought to stretch over time due to interactions with matter or other unknown processes. As a result, the light from distant galaxies appears redshifted, mimicking the effect of cosmic expansion. This explanation implies that the universe may have a finite size and a center, challenging the notion of an infinite and uniformly expanding universe.
Know more about Hubble's law here -
brainly.com/question/13705068
#SPJ11
Which has more thermal energy, a cup of water at 39°C or a cup of water at 60° C?
Answers
Answer:
The cup of water at \(60^o C\) has more thermal energy.
Explanation:
Warmer objects have faster particles and higher temperatures. If two objects have the same mass, the object with the higher temperature has greater thermal energy.
The string shown is replaced with a shorter string, but all other factors remain the same as before. Did the force change?
Answers
Changing the length of a string may alter the force in a physical system, like a pulley mechanism, if it impacts its tension and length.
How to explain the changeNonetheless, regarding a digital system such as a software application, replacing the string with another one that does not affect any crucial factors is improbable to cause an alteration in said force amount.
Determining whether changing a component of a method leads to any modifications in strength requires recognizing essential aspects influencing that force while keeping in mind how this modification might hinder these key elements.
Learn more about force on
https://brainly.com/question/12970081
#SPJ1
what is the temperature of sweat when it is first produced? explain your answer.
Answers
The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.
What is the temperature of sweat when it is first produced?Our body begins to sweat when our body temperature goes up more than two degrees from normal which is 102 degree F. When you sweat, your body temperature drops back to the safe range which is 96.6 to 100.6 degrees F.
So we can conclude that The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.
Learn more about temperature here: https://brainly.com/question/24746268
#SPJ1
Gravity, inertia, momentum, kinetic energy and centrifugal force are all _______ forces a driver must deal with.
Answers
Answer:
Natural Forces
Well gee, you got me there, dude.
Gravity is a force that a driver doesn't much have to worry about. Inertia, momentum, and kinetic energy are not forces, and centrifugal force doesn't exist.
In the system shown above, the pulley is a uniform disk with a mass of .75 kg and a radius of 6.5 cm. The coefficient of friction between the 5.8 kg mass and the horizontal surface is .25, and the ropes does not slip on the pulley. They system is released from rest. Use work-energy principles to determine the kinetic energy of the (a) 2.8 kg mass and (b) the pulley after the 5.8 kg mass has moved 2.2 meters.
Answers
Answer:
i am answering the same question 3rd time
please find the answer in the images attached.
A cart with mass 2m has a velocity v before it strikes another cart of mass 3m at rest. The two carts couple and move off together with a velocity of?
Answers
Answer:
2/5 v
Explanation:
Use conservation of momentum
originally mv = 2m v
after the crash mv is still the same (2mv)
but the mass is now 5m x where x is the new velocity
2mv = 5 mx
x = 2/5 v
The momentum of two objects in a collision is conserved. Hence, the total initial momentum is equal to the final momentum of the coupled mass. Here the final velocity will then be 2/5 v.
What is momentum ?Momentum of a moving object is the product of mass and velocity. It is a vector quantity with direction and magnitude. The total momentum of two colliding bodies is equal to the total final momentum after collision.
Let m1 and m2 be the masses and v1 and v2 be the final velocities. Vt be the velocity of the coupled mass.
Then, m1 v1 + m2 v2 = (m1 + m2) Vt
Given, mass of cart 1 = 2m
cart 2 = 3m
velocity of cart 1 = v
cart = 0 since it was at rest.
Then, 2m v + 0 = (2m + 3m) Vt
Vt = 2/5 v
Therefore, the final velocity of the couple of carts will be 2/5 v.
Find more on momentum:
https://brainly.com/question/24030570
#SPJ2
The musical tone a piano has a frequency of 346HZ and a wavelength of 1.3 M what is the speed of the sound
Answers
Answer:
v= 449.8 m/s
Explanation:
Given data
Frequency= 346Hz
Wave length= 1.4m
The expression below is used to find the speed
\(v= f \lambda\\\\\)
substitute
\(v= 346*1.3\\\\v= 449.8 m/s\)
Hence the speed is v= 449.8 m/s
A partially filled pipe 2.40 m in diameter flows at the rate of
12.75 m³/s. What is the critical depth?
Problem 2 (5 pts) A partially filled pipe 2.40 m in diameter flows at the rate of 12.75 m³/s. What is the critical depth?
Answers
The critical depth for the partially filled pipe is approximately 0.689 meters.
The critical depth in an open channel flow refers to the depth at which the specific energy is minimized, resulting in critical flow conditions. In this case, the pipe can be considered as an open channel, and we can use the specific energy equation to find the critical depth.
The specific energy equation for open channel flow is given by:
\(E = y + (Q^2 / (2gA^2))\)
where E is the specific energy, y is the flow depth, Q is the flow rate, g is the acceleration due to gravity, and A is the cross-sectional area of flow.
To find the critical depth, we need to minimize the specific energy. This occurs when the derivative of the specific energy with respect to the flow depth is equal to zero:
\(dE/dy = 1 - (Q^2 / (gA^3)) = 0\)
Simplifying the equation, we can express the critical depth as:
\(y_critical = (Q^2 / (gA^3))\)
Given the diameter of the pipe, we can calculate the cross-sectional area as:
\(A = π * (d^2 / 4)\)
where d is the diameter.
Substituting the values into the equation, we have:
\(A = π * (2.40^2 / 4) = 4.52 m^2\)
Now, we can calculate the critical depth:
\(y_critical =\) \((12.75^2 / (9.81 * 4.52^3)) ≈ 0.689 m\)
Therefore, the critical depth for the partially filled pipe is approximately 0.689 meters.
To know more about critical depth here
https://brainly.com/question/33339982
#SPJ4
Could someone please help me
Answers
Answer:
the size of the shadow will be smaller due to smaller hands