A 28.0 kg block is connected to an empty 2.20 kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.42 and the coefficient of kinetic friction between the table and the block is 0.35. Sand is gradually added to the bucket until the system just begins to move (Figure 1).aCalculate the mass of sand added to the bucket.bCalculate the acceleration of the system.

Answer: Did you ever find the answer I’m on the same question

Explanation:

Answer:

B

Explanation:

i did it and got it wrong and it told me it was B

When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.

Once the temperatures are identical, there is no net heat transfer since the quantity of heat transported from one object to the next and the amount of heat radiated are equal.

Temperature change is one of the main consequences of heat transfer: Cooling brings down the temperature while heating brings it up.

Experiments reveal that three factors—the change in the substance's temperature, its mass, and specific physical characteristics associated to the substance—have an impact on how much heat is transported to or from a substance.

Therefore, When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.

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A 0.842g sample of Hydrogen-3 decays to 0.0526g. Approximately 4.206 half-lives have occurred.

To determine the number of half-lives that have occurred, we can use the decay equation and the concept of exponential decay. The decay equation for radioactive decay is given by:

N(t) = N₀ * (1/2)^(t/T),\((1/2)^(^t^/^T^),\)

where N(t) is the remaining amount of the substance at time t, N₀ is the initial amount, t is the time elapsed, and T is the half-life of the substance.

In this case, we have an initial mass of 0.842g (N₀) and a remaining mass of 0.0526g (N(t)). We can set up the equation as follows:

0.0526g = 0.842g \(* (1/2)^(^t^/^1^2^.^3^2)\),

where t represents the number of half-lives that have occurred.

To solve for t, we can take the logarithm of both sides of the equation:

log(0.0526g/0.842g) = log\([(1/2)^(^t^/^1^2^.^3^2^)\)].

Using the logarithmic property log(\(a^b\)) = b*log(a), we can rewrite the equation as:

log(0.0526g/0.842g) = (t/12.32) * log(1/2).

Simplifying further:

log(0.0526g/0.842g) = (t/12.32) * (-log2),

where log2 is the logarithm base 2.

Now, we can solve for t:

t = (12.32 * log(0.0526g/0.842g)) / (-log2).

Using the given values and performing the calculation, we find:

t ≈ 4.206.

Therefore, approximately 4.206 half-lives have occurred.

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The wavelength of the sound wave with a frequency of 415.3 Hz is approximately 3.565 m.

The speed of sound in water is approximately 1482 m/s. Use the formula v = f × λ, where v = velocity (speed of sound), f = frequency, and λ = wavelength.

Given:

Frequency of the first sound wave (f₁) = 257.2 Hz

Wavelength of the first sound wave (λ₁) = 3.25 m

Velocity of sound in water (v) = 1482 m/s

Rearrange the formula to solve for λ₂ (wavelength of the second sound wave):

v = f × λ

λ = v / f

Substituting the values:

λ₂ = v / f₂

= 1482 m/s / 415.3 Hz

Calculating:

λ₂ ≈ 3.565 m

Therefore, the wavelength of the sound wave with a frequency of 415.3 Hz is approximately 3.565 m.

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Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.

Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.

To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.

The work done by the air can be calculated using the equation:

Work = Force * Distance * cos(θ)

Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.

In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:

Work = Force * Distance * 0

Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.

However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.

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The bike is travelling at 22.5 m/s after 2.5 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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Answer:

(a) α = - 1000 rad/s²

Negative sign represents deceleration.

(b) θ = 3581 rotations

(c) L = 1800 m

(d) a = - 80 m/s²  

Explanation:

(a)

using First equation of motion for angular motion:

ωf = ωi + αt

where,

ωf = Final Angular Speed = 2000 rad/s

ωi = Initial Angular Speed = 7000 rad/s

α = Angular Acceleration = ?

t = time = 5 s

Therefore,

2000 rad/s = 7000 rad/s + α(5s)

α = (2000 rad/s - 7000 rad/s)/5 s

α = - 1000 rad/s²

Negative sign represents deceleration.

(b)

Using second equation of motion:

θ = ωi t + (1/2)αt²

where,

θ = No. of Rotations = ?

Therefore,

θ = (7000 rad/s)(5 s) + (1/2)(- 1000 rad/s²)(5 s)²

θ = 35000 rad - 12500 rad

θ = (22500 rad)(1 rotation/2π rad)

θ = 3581 rotations

(c)

Length of String = L = (Circumference of Pulley)(θ)

L = [2π(0.08 m)][3581 rotations]

L = 1800 m

(d)

Tangential Acceleration = a = rα

a = (0.08 m)(-1000 rad/s²)

a = - 80 m/s²

Answer:

Revolutions

Explanation:

A train travels between two stations that are 63 km apart at an average speed of 35 m/s. Time taken by train after leaving the first station and arrive at the second station  1.8 sec.

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

time = Distance / speed

= 63/35.

= 1.8 sec

A train travels between two stations that are 63 km apart at an average speed of 35 m/s. Time taken by train after leaving the first station and arrive at the second station  1.8 sec.

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Answer:

in a magnet there is a magnetic field that draws ever mental to it

Answer:

Explanation:

b

Answer:

2 pi R / T =     speed of moon

m V^2 / R = G M m / R^2        centripetal force = gravitational force

V^2 / R = G M / R^2

4 pi^2 R^2 / (T^2 R) = G M / R^2     using first equation

R^3 = 1 / (4 pi^2) * G M T^2        we need to know G and M

R^3 = .0253 * 6.67E-11 * 5.98E24 T^2 = 1.01E13 * T^2

63.3 da = 5.47E6 sec

T^2 = 2.99E13 sec^2

R^3 = 1.01E13 * 2.99E13 = 3.02E26 = 302E24 m^3

R = 6.70E8 m from center of earth

Using 1609 m/mile

R = 416,000 miles

Note: our moon is about 239,00 miles away

So this distance is about 1.74 our earth-moon distance

If T^2 proportional R^3    (the moon period is 27.3 da)

63.3/27.3 = 2.32         2.32^2 = 5.38

416/239 = 1.74              1.74^3 = 5.27

Not exact but reasonably close

Answer:

50N

Explanation:

W=Fd

150=F(3)

50N=F

The angular velocity of the Earth refers to the rate at which the Earth rotates around its axis. When the Earth comes closer to the Sun in its orbit, its angular velocity increases. This can be explained by considering the conservation of angular momentum.

Angular momentum is a property of rotating objects and is defined as the product of the moment of inertia and angular velocity. In the case of the Earth, as it moves in its elliptical orbit around the Sun, its distance from the Sun changes. According to the conservation of angular momentum, the total angular momentum of the Earth-Sun system remains constant unless acted upon by external torques.

When the Earth is closer to the Sun in its orbit, its moment of inertia remains relatively constant since it is primarily determined by the distribution of mass within the Earth. Therefore, to conserve angular momentum, if the distance between the Earth and the Sun decreases, the angular velocity of the Earth must increase.

This increase in angular velocity results in a shorter rotational period, meaning the Earth completes one rotation around its axis in a shorter amount of time. This is why we experience shorter days when the Earth is closer to the Sun in its orbit.

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The evidence that Wegener did NOT use to support his idea of continental drift is "the thickness of layers of ice in the Antarctic.

option C

Wegener's primary evidence for continental drift included the fit of the coastlines of different continents, the distribution of fossils across different continents, and the alignment of rock strata on different continents.

So the thickness of layers of ice in the Antarctic, was not used by Wegener to support his idea of continental drift. While this evidence is important for supporting the theory of glaciation, it is not relevant to the theory of continental drift.

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The velocity of the projectiles after their collision is 7 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the projectiles after colliding, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitite these values into equation 1

Hence, the velocity of the projectiles is 7 m/s.

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Answer:

Explanation:

The electric flux through a surface is given by the dot product of the electric field and the area vector of the surface:

Φ = E · A

where Φ is the electric flux, E is the electric field, and A is the area vector of the surface.

(a) If the surface lies in the yz plane, its area vector is in the x direction. Therefore, the area vector can be written as A = Ax i, where Ax is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ax i) = aAx

(b) If the surface lies in the xz plane, its area vector is in the y direction. Therefore, the area vector can be written as A = Ay j, where Ay is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ay j) = bAy

(c) If the surface lies in the xy plane, its area vector is in the z direction. Therefore, the area vector can be written as A = Az k, where Az is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Az k) = 0

since the dot product of perpendicular vectors is zero.

Answer:

The surface is rough, because the work-energy theorem indicates the block should be traveling faster at point  K .

Explanation:

Correct. Using the work-energy theorem, the speed at point K would be U1+K1=U2+K2

0+1/2mv^21=mgh2+1/2mv^22

v2= square root v^21−2gh2

=square root (7ms)^2−(2)(10)(2m)(sin30)

v2=5.4ms.

Since the actual speed at point K is slower than this value, there must have been friction between the block and surface.

The net force on q1 is 9.94 N.

From Coulomb's Law, the force between two point charges is given by:

where;

All the charges have the same charge and magnitude and are separated by the same distance.

The force between q1 and q2 is:

F12 = (9 * 10⁹ N * m²/C²) * (-2.35 x 10⁻⁶ C)² / (0.100 m)²

F12 = 4.97 N

The positive sign indicates that the force is repulsive

Similarly, the force between q2 and q3 is:

(9 * 10⁹ N * m²/C²) * (-2.35 x 10⁻⁶ C)² / (0.100 m)²

F12 = 4.97 N

The positive sign indicates that the force is repulsive

The net force on q1 will be:

Fnet = F12 + F23

Fnet = 4.97 N + (4.97)

Fnet = 9.94 N

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Answer:

Explanation: The amount of charge that moves into the capacitor plates depends upon the capacitance and the applied voltage, it is given by the following formula:

To find the charge on the capacitor we need to identify the knows and unknows as follows:

Plugging these values in formula (1) we get the answer as follows:

Therefore the charge on the capacitor is:

Answer:

D) Thermal energy will move from the water bottle to the ice.

Explanation:

Overtime, what happens is that thermal energy will move from the water bottle to the ice.

The water bottle is at a higher temperature compared to the ice. So, thermal energy will move from a place at higher temperature to one with lower temperature.

The gas's internal energy that expands from I to F changes by 1015 J.

Since the gas is expanding and energy is added to it by heat, the change in internal energy of the gas can be calculated using the first law of thermodynamics, which states that:

ΔU = Q - W

where ΔU = change in internal energy,

Q = heat added to the system, 465 J and

W = work done by the system.

Assuming that the process is quasi-static use approximation known as the "staircase approximation."

By adding up the work done in each step, find that the total work done by the gas is approximately -550 J. The negative sign indicates that work is done on the gas.

Therefore, using the first law of thermodynamics, we can calculate the change in internal energy of the gas as:

ΔU = Q - W

ΔU = 465 J - (-550 J)

ΔU = 1015 J

Therefore, the change in internal energy of the gas is 1015 J.

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Answer:

Electromagnetic radiation

Explanation:

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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Answer:

Explanation:

Displacement of train = 60 - 25 = 35 mile

= 35 x 1.6 = 56 km

duration of time = 45 - 15 = 30 minutes

= 30 x 60 = 1800 s

velocity of train = displacement / time

= 56 / 1800 = .03111 km /s

= 31.111 m / s

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Answer: part a is e

part b a  

Explanation:

I HOPE THIS HELPS

Answer:I=V/R

Explanation:

V=IR

Divide both sides by R

V/R=IR/R

V/R=I

I=V/R

The voltage in a circuit is given by the equation V= IR, in this equation v is the voltage Iis correct and R is the resistance the solution for the current is given as follows,

V= IR

I = V/R

Resistance is the obstruction of electrons in an electrically conducting material. The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.

V=IR

As for the given problem  if we have to solve for the current from the equation V=IR

V=IR

I = V/R

Let us suppose a 60-volt battery connected in a closed circuit with a resistor of 15 ohms then we have o find out the amount of current flowing in the circuit,

Voltage = 60V

Resistance = 15 Ohm

Current =?

By using Ohm,s Law,

V=IR

I = V/R

By substituting the respective values,

I = 60/15

I = 4 Ampere

Hence, we solved for the current from the equation V=IR.

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