A solid sphere of mass 1.5
k
g
and radius 15
c
m
rolls without slipping down a 35
∘
incline that is 7.0
m
long. Assume it started from rest. The moment of inertia of a sphere is given by I
=
2
5
M
R
2
.
A. Calculate the linear speed of the sphere when it reaches the bottom of the incline.
B. Determine the angular speed of the sphere at the bottom of the incline.
C. Does the linear speed depend on the radius or mass of the sphere?
D. Does the angular speed depend on the radius or mass of the sphere?

Answer:

Temporary? You have two options

If you have a positively charged object, bring it close to the LEFT side of the ball (not touching it!).

If you have a negatively charged object, bring it close to the RIGHT side of the ball (again, not in contact).

Either way, the electron cloud will migrate towards the right side of the of your sphere.

Another option is to have a capacitor large enough to house the sphere inside it, and polarize it by attaching it to a DC source making sure that the negative plate of it is to the right of the sphere.

Answer:

a1)gravity

not sure on others

Explanation:

cause the gravity force pulls u down

Answer:

a) i) Gravitational force

ii) Air resistance

b) (I cannot understand what is the question saying but the unit of acceleration is m/\(s^{2}\) or \(ms^{-2}\))

ii) Because when the parachutist is falling, the gravitational force is pulling him down. But the air resistance is pushing him upwards acting against the gravitational force resulting in a decreasing acceleration.

iii) This is because soon the air resistance catches up with that of the gravitational force and it cancels the gravitational force so he is falling in a constant velocity. This is called terminal velocity when the gravitational force gets cancelled resulting in a free fall where his weight brings him down.

Sally drove from New York to Washington and back again. The distance between New York and Washington is 490.91 miles.

The average speed is = Distance/time,

x/50 + x/60 = 18

6x/300 + 5x/300 = 18

11x / 300 = 18

11x = 18 × 300

11x = 5400

x = 5400 / 11

x = 490.91 Miles.

Hence, the distance between New York and Washington is 490.91 miles.

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The average circumference of the two balloons for each amount of sugar are as follows; No sugar: 31.4 cm Some sugar: 34.54 cm More sugar: 40.84 cm

The circumference of a balloon is given by the formula;

C = 2πr

where r is the radius of the balloon. We can find the average circumference of the two balloons for each amount of sugar as shown below. No sugar: The circumference of the balloon with no sugar is given by

C1 = 2πr1

We can find the average circumference of the two balloons as follows;

Average circumference = (C1 + C1)/2 = (2πr1 + 2πr1)/2= 2πr1= 2 × 3.14 × 5= 31.4 cm

(to one decimal place)Some sugar: The circumference of the balloon with some sugar is given by

C2 = 2πr2

We can find the average circumference of the two balloons as follows; Average circumference

= (C1 + C2)/2 = (2πr1 + 2πr2)/2= (2 × 3.14 × 5) + (2 × 3.14 × 6)/2= 2 × 3.14 × 5.5= 34.54 cm

(to two decimal places)More sugar: The circumference of the balloon with more sugar is given by

C3 = 2πr3

We can find the average circumference of the two balloons as follows; Average circumference

= (C2 + C3)/2 = (2πr2 + 2πr3)/2= (2 × 3.14 × 6) + (2 × 3.14 × 7)/2= 2 × 3.14 × 6.5= 40.84 cm (to two decimal places)

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Answer: CO

I hope this helps

Answer:

co

Explanation:

Answer:

5

Explanation:

Using the formula

Number of images = 360/theta - 1

theta is the angle of inclination

Given

Theta = 60°

Substitute

Number of images = 360/60 -1

Number of images = 6-1

Number of images = 5

Hence the number of images formed is 5

Answer:

a force that acts on a body moving in a circular path and is directed toward the center around which the body is moving.

Explanation:

Answer:

A net force that acts on an object to keep it moving along a circular path

External force and here centripetal force

A modulo-24 counter circuit needs at least five D flip-flops to count up to 24.

A modulo-24 counter circuit needs at least 5 D flip-flops. A D flip-flop, also known as a data or delay flip-flop, is a type of flip-flop that stores the value of the data input.

In a modulo-n counter, the counter's output will change state only when n pulses have been received. In other words, the counter cycles through n states before returning to its original state. For a modulo-24 counter, this implies that there will be 24 states before it repeats the original state.

The state diagram of the modulo-24 counter can be represented as follows:As a result, 24 is equivalent to 11000 in binary. Since there are five digits in 11000, the modulo-24 counter will require at least five D flip-flops.The main answer is that a modulo-24 counter circuit needs at least 5 D flip-flops.

In digital electronics, a counter circuit is used to generate binary numbers using a clock pulse. A counter circuit is a collection of flip-flops that are connected together to form a sequential circuit.

A sequential circuit is a circuit in which the output is dependent on the input and the state of the circuit. There are two types of sequential circuits: synchronous and asynchronous.In synchronous sequential circuits, the output is dependent on the input and the state of the circuit, and the clock is used to synchronize the operation of the flip-flops. The clock pulse controls the operation of the flip-flops.

The flip-flops are triggered at the rising or falling edge of the clock pulse.In asynchronous sequential circuits, the output is dependent on the input and the state of the circuit, but the clock is not used to synchronize the operation of the flip-flops. Instead, the flip-flops are triggered by the output of other flip-flops or external signals.In a counter circuit, the number of flip-flops required depends on the modulus of the counter.

The modulus is the number of states in the counter. For example, a modulus-16 counter has 16 states. A modulus-24 counter has 24 states. A modulus-32 counter has 32 states.A D flip-flop is a type of flip-flop that stores the value of the data input. In a counter circuit, the D flip-flops are used to store the count. The output of the counter is taken from the outputs of the flip-flops.

The conclusion is that a modulo-24 counter circuit needs at least five D flip-flops to count up to 24.

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Mass of copper block, m = 8.96 g

Constant molar heat capacity of copper, c1 = 24.44 J K⁻¹ mol⁻¹

Initial temperature of copper block, T1 = 85°C

Mass of water, M = 125 g

Constant molar heat capacity of water, c2 = 75.29 J K⁻¹ mol⁻¹

Initial temperature of water, T2 = 25°C

Heat is transferred from the copper block to the water until both reach a common temperature, T. We are to find the change in entropy for each process using the following formula:

Change in entropy, ΔS = Q / T

where Q is the amount of heat transferred and T is the common temperature of the system. Since the process is reversible, we can also write this as:

ΔS = ∫ dQ / T

Change in entropy of copper block:

The amount of heat transferred from the copper block to the water, Q1 = mc1ΔT = (8.96/63.546) × 24.44 × (T - 85) J/K

where ΔT = T - T1 is the change in temperature.

Using the formula for change in entropy:

ΔS1 = Q1 / T = (8.96/63.546) × 24.44 × (T - 85) / T J/K

Change in entropy of water:

The amount of heat transferred from the copper block to the water is the same as the amount of heat gained by the water, Q2. So,

Q2 = -Q1 = -(8.96/63.546) × 24.44 × (T - 85) J

Using the formula for change in entropy:

ΔS2 = Q2 / T = -(8.96/63.546) × 24.44 × (T - 85) / T J/K

Therefore, the change in entropy for the copper block is given by:

ΔS1 = (8.96/63.546) × 24.44 × (T - 85) / T J/K

And the change in entropy for water is given by:

ΔS2 = -(8.96/63.546) × 24.44 × (T - 85) / T J/K

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Answer:

explanations below

Explanation:

From the attached document, it can be seen that Stations 2 and 3 are further away from the epicenter unlike stations 1 and 4. Stations 2 and 3 are likely going to record fewer waves than the others because as the wave travel such distances, part of it are bent by the earth’s interior and some of the materials in earth also reflect some of the waves.

Explanation:

It is given that,

Let Charge of \(1\ \mu C\) is taken from points A & B such that \(V_A-V_B=1000\ V\).

We need to find the energy of charge. Electric potential is defined as the work done per unit of electric charge. So,

\(W=(V_B-V_A)q\\\\W=-1000\times 10^{-6}\\\\W=E=-10^{-3}\ J\)

So, the energy of charge decreases by \(10^{-3}\ J\). Hence, the correct option  is (a).

Northern American Emergency Response Guide.The main goal of the ERG Handbook is to help first responders immediately identify any unique or general risks associated with the material(s) at issue.

There is also Guide 111, which is for "hazardous" materials.When using generic information, make sure to replace it with more detailed instructions as soon as new information becomes available.

The orange panel next to the diamond-shaped sign or on the extremities and sides of the a cargo tank, vehicle, or rail car may also display the 4-digit ID Number.

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Answer:

b

Explanation:

liquid and solid

hope that helps :)

b

Explanation:

option b would be the answer

Answer:

4p

Explanation:

If you halve the volume the pressure will double as they are inversely proportional. If you double the temperature the particles have double the kinetic energy so the pressure will double again.

So:

p×2×2 = 4p

Answer:

P V = n R T

P2 V2 / (P1 V1) = T2 / T1

P2 = (T2 / T1) (V1 / V2)  P1   =   2 * 2 = 4

Answer:

A

Explanation:

This is to do with convection currents :)

Hope this helps!

The rubber band car can go approximately 1.24 m/s when all the elastic potential energy is converted into kinetic energy.

To determine how fast the rubber band car can go when all the elastic potential energy is converted into kinetic energy, we can use the principle of conservation of energy.The elastic potential energy stored in the rubber band can be calculated using the formula:

Elastic potential energy = (1/2)kΔx^2

Where:

k is the spring constant,

Δx is the change in length of the rubber band.

Given:

Natural length of the rubber band (x₀) = 0.05 m

Maximum stretched length of the rubber band (x) = 0.2 m

Spring constant (k) = 17 N/m

The change in length (Δx) = x - x₀ = 0.2 m - 0.05 m = 0.15 m

Now, we can calculate the elastic potential energy:

Elastic potential energy = (1/2) * 17 N/m * (0.15 m)^2

Elastic potential energy = 0.3825 J

According to the principle of conservation of energy, this elastic potential energy will be converted entirely into kinetic energy.

The kinetic energy of an object can be calculated using the formula:

Kinetic energy = (1/2)mv^2

Where:

m is the mass of the rubber band car, and

v is the velocity of the rubber band car.

We need to solve for v:

0.3825 J = (1/2) * 0.5 kg * v^2

Simplifying the equation:

v^2 = (2 * 0.3825 J) / 0.5 kg

v^2 = 0.765 J / 0.5 kg

v^2 = 1.53 m^2/s^2

Taking the square root of both sides:

v = √1.53 m^2/s^2

v ≈ 1.24 m/s

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Momentum is conserved in an isolated system, i.e., a system that does not interact with its surroundings.

In such a system, the total momentum of all the objects in the system remains constant. This is known as the law of conservation of momentum.

In a nondissipative system, i.e., a system where there is no energy loss due to friction or other dissipative forces, momentum is also conserved. This is because momentum is a conserved quantity, and in the absence of any external forces, the total momentum of a system remains constant.

In a system with only conservative forces, momentum is also conserved. Conservative forces are forces that depend only on the position of an object and not on its velocity or acceleration. Examples of conservative forces include gravitational and electric forces. These forces do not dissipate energy and, therefore, do not affect the conservation of momentum.

However, in systems with non-conservative forces, such as friction or air resistance, momentum is not conserved. In such systems, the total momentum of the objects in the system changes as a result of the external forces acting on them.

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Deceleration of 1/6 m/s2

Initial Velocity(u) = 25m/s

Final velocity(v) = 0 m/s

Time taken in reaching velocity 0 (t) = 150 s

so as we know from the equation of 2 dimension motions that

So  

As we know that the acceleration is negative so we can conclude that it is a deceleration of 1/6 meter per second square. In the given Question, the information of Fifty - car train has no use in solving acceleration or deceleration.

Acceleration is always Positive as it Increases the speed of the body but Deceleration is negative as it for reducing the speed.

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In an ideal-offset model for diodes, we assume that the diodes have an infinite resistance in the reverse direction and zero resistance in the forward direction. Using this model, we can calculate the current through and voltage across the diode. If we have and in the forward direction, we can assume that the voltage across the diode is zero. This means that the current through the diode will be determined solely by the resistor value. Therefore, the current through the diode will be .

In the reverse direction, the voltage across the diode will be equal to the voltage across the resistor, which is . Since the diode has an infinite resistance in the reverse direction, no current will flow through it, and the current through the resistor will be zero.To summarize, the current through the diode in the forward direction is , and the voltage across the diode is zero. In the reverse direction, the voltage across the diode is , and no current flows through it.

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We have that the gas will occupy at a pressure of 800 torr if temperature is held constant a Volume of

\(V_2=0.18L\)

From the Question we are told that

Initial Pressure \(P_1=720\)

final Volume  \(V_1=200mL\)

Initial Pressure \(P_2=800\)

final Volume  \(V_2=?\)

Generally the equation for Boyle's law  is mathematically given as

\(P_1V_1= P_2V_2\)

Therefore

\(V_2=\frac{ P_1V_1}{P_2}\\\\V_2=\frac{ 720*200}{800}\\\\V_2=180mL\)

\(V_2=0.18L\)

The gas will occupy at a pressure of 800 torr if temperature is held constant a Volume of

\(V_2=0.18L\)

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Answer:

C

Explanation:

Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move

Statement provide another rationale for higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

A mineral is an inorganic element or compound that occurs in nature and has a recognizable chemical composition, crystal structure, and physical characteristics. Quartz, feldspar, mica, amphibole, olivine, and calcite are examples of common minerals.

A body of undifferentiated mineral materials or an amalgamation of one or more minerals is referred to as a rock. Granite, basalt, limestone, and sandstone are typical rocks.

The higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

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Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".

Answer:

By elimination I know it's not CGL and I know it's not Charle's Law.

Gay-Lussac's law states the pressure of a a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant. I think it's Gay-Lussac's Law.

Boyle's law states that pressure of a gas tends to increase as the volume of the container decreases which I got from a google search because I didn't know what it was.

CGL is the combined formula of all of these laws by the way

Charle's law is just gas expands when heated.

Gay-Lussac's is the best answer choice in my opinion

The correspondence principle holds for the particle in a box, as the ratio of the spacing between adjacent levels to the energy of the lower state approaches zero with increasing energy.

In the particle in a box system, the energy levels are given by the equation:

\(E = (n^2 * h^2)/(8 * m * L^2)\)

where n is the quantum number, h is the Planck's constant, m is the mass of the particle, and L is the length of the box.

To examine the correspondence principle, let's consider the spacing between adjacent energy levels. The difference in energy between two adjacent levels can be calculated by subtracting the energy of one level from the energy of the next level:

ΔE = E(n+1) - E(n)

\(= [(n+1)^2 * h^2)/(8 * m * L^2)] - [(n^2 * h^2)/(8 * m * L^2)]\)

\(= [2n + 1] * (h^2/(8 * m * L^2))\)

Now, let's calculate the ratio of the spacing between adjacent levels to the energy of the lower state:

Δ\(E/E(n) = ([2n + 1] * (h^2/(8 * m * L^2))) / [(n^2 * h^2)/(8 * m * L^2)]\)

\(= (2n + 1) / n^2\)

As n increases, the spacing between adjacent levels (ΔE) will increase. However, the ratio ΔE/E(n) can be simplified to \((2/n) + (1/n^2),\)which approaches zero as n increases. This means that as the energy increases (as n increases), the ratio ΔE/E(n) approaches zero, indicating that the behavior of the particle in a box system converges to the classical limit.

Therefore, we have shown that the correspondence principle holds for the particle in a box, as the ratio of the spacing between adjacent levels to the energy of the lower state approaches zero with increasing energy.

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magnets' persistent magnetic fields.Things that create their own persistent magnetic fields are known as permanent magnets.They have a north and a south pole and are built of magnetized ferromagnetic elements, such as iron and nickel.

More than one solution to the question "what causes a magnetic field?"

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Answer:

Conduction, Convection and Radiation

Explanation:

Hope this helps!

Answer: Noise above 70 dB can cause hearing damage

Explanation:

Answer:

The decibel level that starts to have hearing damage is 120 dB.

Explanation:

Answer:

The three agents of sediment transport, which result in deposition as energy decreases, are ice, wind, and water.

The kinetic energy of a ball with a mass of 0.35 kg attached to a string is being spun around on a horizontal surface at a rotational speed of 2.5 rev/s is 10.632 KJ

To determine the kinetic energy of the ball, use the equation:

KE = ½ I ω²

I = moment inertia (kgm²)

ω = angular velocity (rad/s)

We have,

Mass of the ball = 0.35 kg

f = 2.5 rev/s

\(l\) = 1.0 m

So, determine the moment inertia first:

I = m\(l\) ²

= (0.35) (1.0)²

= 0.35 kgm²

Next, determine the angular velocity:

ω = (2πf)²

= {(2π (2.5)}²

= 246.49 rad/s

So, the kinetic energy of the ball is:

KE = ½ I ω²

= ½ (0.35) (246.49)²

= 10.632 x 10³ J = 10.632 KJ

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