If you run the simulation a few times, you should see that for this particular pair of block and disc the block's position has the same numerical value as the disc's angular position, and the block's velocity has the same numerical value as the disc's angular velocity. Which of the following pairs of quantities must also have the same numerical values for the block and disc (assuming we use standard meter-kilogram-second units)? Select all that apply.

a. The work done by the force on the block and the work done by the torque on the disc.
b. The acceleration of the block and the angular acceleration of the disc.
c. The mass of the block and the mass of the disc.
d. The translational kinetic energy of the block and the rotational kinetic energy of the disc.
e. The momentum of the block and the angular momentum of the disc

Answer:

Explanation:

A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:

Output force = Weight of object = m * g

where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:

Output force = 15 kg * 9.81 m/s^2 = 147.15 N

Therefore, the output force required to lift a 15 kg object would be 147.15 N.

B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.

C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:

Mechanical advantage = Output force / Input force = 40 N / 10 N = 4

So, the ramp multiplies your force by a factor of 4.

Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.

To better understand crash dynamics we have to look at "the laws of motion."

The laws of motion

The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.

It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.

Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.

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The total resistance used is 90Ω.

As per the details share in the above question,

The data given in the question are as follow,

The series is consist of RL circuit contains two resistors.

The resistor are \(R_1=\)60Ω and \(R_2=\)30Ω.

We have to calculating the circuit values, the total resistance is ?

The resistance are connected in series,

So Req\(=R_1+R_2\)

Substitute the value in the above question we get,

\(Req=60+30=90\)Ω

Therefore option 90Ω is the correct option.

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The amount of work done by the gas is proportional to the pressure and the change in volume, as well as the efficiency of the process. If the pressure and volume are known, the work done by the gas can be calculated by multiplying these values by the efficiency of the process.

The amount of work done by a gas when it expands is proportional to the change in volume, pressure, and temperature. According to the first law of thermodynamics, the energy of a closed system is conserved, so the work done by the expanding gas is equal to the energy transferred from the gas to the environment in the form of work. Therefore, the work done by the gas is equal to the change in energy of the system. Assume that the process is 10% efficient. Then, only 10% of the energy available to the system is converted into work. This means that the remaining 90% of the energy is lost to the environment in the form of heat. As a result, the amount of work done by the gas expanding into the atmosphere is given by the formula

W = E x η, where W is the work done by the gas, E is the energy available to the system, and η is the efficiency of the process. The energy available to the system is determined by the difference between the internal energy of the gas before and after the expansion. The internal energy of a gas is determined by its temperature, pressure, and volume.

Assuming that the temperature and pressure are constant, the change in internal energy is proportional to the change in volume. Therefore, the energy available to the system is equal to the product of the pressure and the change in volume: E = P x ΔV, where P is the pressure of the gas and ΔV is the change in volume during the expansion. Substituting this equation into the formula for work, we get W = P x ΔV x η.

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Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

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The quarterback is getting hit with a force of 100 Newtons.

We can use Newton's second law of motion:

Force = Mass * Acceleration

Given that the mass of the defensive lineman is 100 kg and the acceleration is 1 m/s², we can substitute these values into the equation:

Force = 100 kg * 1 m/s²

Force = 100 N

Therefore, the quarterback is getting hit with a force of 100 Newtons.

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Answer:

Creation of energy by joining the nuclei of two hydrogen atoms to form helium

Answer:

Charging by contact is when the charged object is brought near but never contacted to the object being charged

Explanation:

The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s

Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s

Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.

The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.

Let us first calculate the time by using the formula

h = ut + 1/2gt²

Where

Substitute all the necessary parameters into the formula

52 = 0 + 1/2 × 9.8 × t²

52 = 4.9t²

t² = 52/4.9

t² = 10.6

t = √10.6

t = 3.26 s

The speed at which the rock was initially kicked can be found by

R = Ut

35 = U × 3.26

U = 35/3.26

U = 10.7 m/s

Therefore, rock was initially kicked at a speed of 10.7 m/s

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Answer:

a

 \(y_1 = 0.004589 \ m\)

b

 \(y_2 =0.009179 \ m\)

Explanation:

From the question we are told that

   The wavelength of the red light is  \(\lambda _r = 633 \ nm = 633 *10^{-9} \ m\)

    The width of the slit is  \(d = 0.40 mm = 0.40 *10^{-3} \ m\)

    The distance of the screen from the point of diffraction is \(D = 2.9 \ m\)

Generally the width of the central bright fringe is mathematically represented as

       \(y_1 = \frac{\lambda * D}{d}\)

=>    \(y_1 = \frac{633 *10^{-9} * 2.90 }{0.40 *10^{-3}}\)

=>    \(y_1 = 0.004589 \ m\)

Generally the width of the first bright fringe on either side of the central one is mathematically represented as

     \(y_2 = 2 * y_1\)

=>   \(y_2 = 2 * 0.004589\)

=>   \(y_2 =0.009179 \ m\)

The degree of data stability when the measurement is replicated under identical circumstances is known as reproducibility or reliability.

Reproducibility determines how an entire study an experiment can be replicated, whereas repeatability assesses the variation in data made by a single equipment or human under similar circumstances.

Science needs reproducibility because it enables more in-depth investigation, and replication validates our findings. There are several investigations and experiments, which result in a wide range of variables, unforeseen, and things that are either outside your influence or you cannot guarantee.

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Answer:

gh

Explanation:

Answer:

the answer is 375°F

Explanation:

you simply subtract 250°F from 625°F

The pelvis in humans serves a functional purpose by supporting the upper body and attaching it to the lower body. Other vestigial structures in humans include ear muscles, tail bone, and hair raising.

As humans evolved, the pelvis became increasingly important in supporting the weight of the upper body and allowing for efficient movement of the legs. In fact, the shape of the pelvis is one of the key factors that distinguishes humans from other primates, as it evolved to accommodate the unique demands of bipedalism. However, not all structures in the human body are as essential as the pelvis. Some, like the ear muscles and tail bone, have lost their original function over time. The ear muscles, for example, were once used to orient the ears towards sounds, but are no longer functional in most humans. Similarly, the tail bone, or coccyx, is a vestige of the tail that our primate ancestors once had, but which no longer serves any purpose in humans. Other vestigial structures in humans include the appendix, which may have once been used to digest a more plant-based diet, and the ability to raise our hair, which was likely used to intimidate predators but now only causes goosebumps.

Despite their lack of function, these vestigial structures continue to exist in humans due to their evolutionary history. And while they may not be essential to our survival, they serve as a reminder of our evolutionary past and the many adaptations that have made us the unique species we are today.

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Answer:

the answer is d I'm pretty sure

The volume of liquid in graduated cylinder A is 25 ml.

The volume of liquid in graduated cylinder B is 36.8 ml.

The volume of liquid in graduated cylinder C is 5.5 ml.

The volume of liquid in graduated cylinder D is 15 ml.

The volume of liquid in graduated cylinder A;

Volume = 25 ml

The volume of liquid in graduated cylinder B;

Volume = 36.8 ml

The volume of liquid in graduated cylinder C;

Volume = 5.5 ml

The volume of liquid in graduated cylinder D;

Volume = 15 ml

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Answer:

F = M a     is Newton"s Second Law

W = M g is the weight of the mass  (W = 2 kg * 10 m/s) = 20 Newtons

g provides a downward acceleration of 10 m/s^2

F = M a = (12 - 10) m/s^2 * 2 kg = 4 kg m/s^2

The example that you gave shows both accelerations in the same direction which is not correct. your example would show the reading on a scale, if the person was on a scale - 10 m/s^2 + 2 m/s^2 = 12 m/s^2 which is offset by the person's weight of 10 m/s^2 in the other direction.

Draw a diagram showing the forces acting on mass M and the resulting acceleration a.

Answer: Limestone Caves

Explanation: The most common feature that can be caused purely by chemical weathering is Karst Landscape, which can lead to caverns and sinkholes.

Answer:

No they just orbit the sun

Explanation:

The point at which the net magnetic field will be zero, the magnetic field due to first wire must be equal and opposite in direction to the magnetic field due to the second wire.

The magnetic field between two parallel wires is determined as follows;

B = μI/2πd

where;

From the formula above we can conclude that, the point at which the net magnetic field will be zero, the magnetic field due to first wire must be equal and opposite in direction to the magnetic field due to the second wire.

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The time it would take it to reach Earth if the Sun remained at its current position is 978,349.5 years.

The time of motion of the giant molecular cloud is the time take for the giant molecular cloud to reach the earth.

Mathematically, the time taken for the giant molecular cloud to reach the earth is given as;

time = distance / speed

where;

time of motion = (6.48 x 10¹⁴ km) / (21 km/s)

time of motion = 3.086 x 10¹³ seconds = 978,349.5 years.

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Answer:

D. Freezing?

Explanation:

Get water, put it in the freezer, turns into ice after a few hours.

The acceleration of the car is determined as 0.35 m/s².

The acceleration of the car is calculated by applying the formula for Newton's second law of motion as follows;

F(net) = ma

where;

Fy = F sinθ

200 = F x sin(30)

F = 200 / sin(30)

F = 400 N

The tension in horizontal direction;

Fₓ = 400 N x cos(30)

Fₓ = 346.4 N

The acceleration of the car is calculated as;

a = Fₓ / m

a = 346.4 / 1000

a = 0.35 m/s²

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In electromagnetic waves, energy is transferred through vibrations of electric and magnetic fields. ... In sound waves, energy is transferred through vibration of air particles or particles of a solid through which the sound travels.

Answer:

because vibration waves are made by sound

The pressure of the gas in the deodorant can when it is heated to 900 K is 9 atm.

Gay-Lussac's law states that the pressure exerted by a given quantity of gas varies directly with the absolute temperature of the gas.

It is expressed as;

P₁/T₁ = P₂/T₂

From the data:

We substitute our values into the expression above and solve for final pressure.

P₁/T₁ = P₂/T₂

P₁T₂ = P₂T₁

P₂ = P₁T₂  / T₁

P₂ = ( 3 atm × 900 K ) / 300 K

P₂ = 9.0 atm

Therefore, the final pressure is 9.0 atm.

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Answer:

Hello there! The answer your would be looking for is:

A 33 kg object that is moving north at 10 m/s

Momentum can be defined as the product of mass and velocity. Thus momentum is directly proportional to both velocity and momentum. Thus, the object with greater mass as well as velocity has greater momentum. Therefore, option C is correct.

Force can be described as an external agent acting on a body, to change its state of rest or motion. There are several kinds of forces such as magnetic force, frictional force, nuclear force, etc.

In physics, force can be described as the product of the mass and acceleration of the body. Greater mass results in greater force required to be exerted on the object to make it move or stop.

Therefore, when mass or velocity or both increases, the momentum of the object increases as well. Therefore, the larger object moving faster gain greater momentum.

Therefore, when the same force is exerted on the object then, the 41 kg object that is moving north at 12 m/s will undergo the greatest change in momentum.

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Your question was incomplete but most probably the complete question was,

A force of 20 N to the south is applied to each object below. Which object will undergo the greatest change in momentum?

A. A 33 kg object that is moving north at 12 m/s

B. A 41 kg object that is moving north at 10 m/s

C. A 41 kg object that is moving north at 12 m/s

D. A 33 kg object that is moving north at 10 m/s

Answer: It could take 15 minutes to 36 hours.

Explanation: It depends on the intensity.