A flat uniform circular disk has a mass of 3.00 kilogram and a radius of 70.0 \text{~cm}70.0 cm. It is suspended in a horizontal plane by a vertical wire attached to its center. If the disk is rotated 2.50 \text{~rad}2.50 rad about the wire, a torque of 0.0600 \text{~N}\cdot \text{m}0.0600 Nâ‹…m is required to maintain that orientation. Calculate the rotational inertia of the disk about the wire.

The incorrect statement was made by "Steve" who said, "Energy can be created." The First Law of Thermodynamics states that energy cannot be created or destroyed, only converted from one form to another. Therefore, it is not possible to create energy out of nothing.

The other two statements are correct. The statement that "two objects kept of the same height above the ground have the same gravitational potential energy" is based on the fact that gravitational potential energy depends on an object's height above the ground and its mass, but not on its shape or material.

The statement that "during energy transformation, the energy in one form is converted to another form" is also true. When energy is transformed from one form to another, such as from electrical energy to light energy in a light bulb, the total amount of energy remains the same, but it is simply transferred from one form to another.

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The mass of the rule is 3.36 kg and the weight of the rule is 33.6 N.

The butt of the blade is designed to balance the majority of fine chef's knives. This is due to the fact that a pinch grip is used in both Western and Eastern cutting styles for improved control. Therefore it makes sense that you'd want your knife to be balanced where you'll be holding it.

To balance the meter rule, Assume the mass of the rule "M".

It is possible to determine the rule's magnitude and weight, which act downward:

weight of rule = M * g

where g = acceleration due to gravity.

weight of rule * (50 cm) = (20 g) * (100 cm - 58 cm)

M * g * (50 cm) = (20 g) * (42 cm)

M = (20 g * 42 cm) / (50 cm * g)

M = 33.6 g / g

M = 33.6 g / 10 m/s^{2}

M = 3.36 kg

(ii) The weight of the rule:

weight of rule = M * g

weight of rule = 3.36 kg * 10 m/s^{2}

weight of rule = 33.6 N

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Answer:

Explanation:

KHAN ACADEMY

The free body diagram of the cheese block is attached with the answer.

A free body diagram consists of a diagrammatic representation of a single body or a subsystem of bodies isolated from its surroundings showing all the forces acting on it.

Given is a block of cheese is pulled on by a string and slides to the right along a rough surface.

The free body diagram of the cheese block is given with the image attached. The force applied for the forward motion of the block is greater in magnitude than the frictional force. The weight of the block is balanced by the normal reaction force. The following mathematical relations can be written -

F - F(f) = ma

and

mg = N

m = N/g

So -

F - F(f) = (N/g)a

Therefore, the free body diagram of the cheese block is attached with the answer.

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To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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1.) c

2.) d

3.) d

4.) b

5.) c

The acceleration of the wildebeest is increasing.

The vertical axis represents the velocity of the wildebeest.

The horizontal axis represents the time of motion of the wildebeest

The acceleration of an object is defined as the change in velocity per change in time of motion.

\(a = \frac{\Delta v }{\Delta t } = \frac{v_2 - v_1 }{t_2 - t_1}\)

where;

The acceleration of the wildebeest is calculated as;

\(a'= \frac{0- (-a) }{b - 0} \\\\a' = \frac{a}{b}\)

In the given chart, you will notice that the acceleration of the wildebeest at time (0) is negative a (-a).

At time (b), the acceleration becomes positive with a value of \(\frac{a}{b}\)

Thus, we can conclude that the acceleration of the wildebeest is increasing.

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Answer:

Electricity can be produced with minimum pollution by: Burning low-sulfur-content coal to reduce SO2 emissions...

Explanation:

I hope this helps! ...:)

The magnitude of the resulting acceleration of the block is 5.60 m/s.

The product of the block's mass and acceleration is the net force acting on the block. Newton's second law of motion is what is known as this.

The following is the expression for Newton's second law:

F = ma

The net horizontal force acting on the block is as follows:

Fnet =F + FcosΘ

Here, F is the force acting on the block, and 8 is the angle at which the force is applied to the block.

Substitute 30Θ for 8 and 30 N for F.

Fnet =30 N + (30 N)cosΘ  = 55.98 N

From Newton's second law, the expression for the force is.

Fnet = ma

Substitute 10.0 kg for m and 55.98 N for Fnet

55.98 N  = (10 kg)a

a (55.98 N /10 kg)

a = 5.598 m/s2 a = 5.60 m/s

Therefore, the acceleration of the block is 15.60 m/s

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The question is incomplete. Your most probably complete question is given below: The figure is added.

Answer:

No

Explanation:

Answer:

k=6.666

Explanation:

F=kx

100=k 50-35

100=k*15

k=6.666

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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(a)  The work done by the force of gravity from A to B is 4.41 Joules.

(b)  The work done by the force of gravity from B to C is zero.

(c) The work done by the force of gravity from A to C is 4.41 Joules.

a) To calculate the work done by the force of gravity from A to B, we need to consider the change in potential energy. The potential energy at point A is maximum due to the maximum angle of 35.0∘ to the left of vertical, while at point B, the string is vertical, and the potential energy is zero.

The change in potential energy (ΔPE) is given by:

ΔPE = m * g * h

where m is the mass of the sphere (0.500 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.

Since the potential energy at point A is maximum, the change in height is equal to the length of the string (0.900 m).

ΔPE = 0.500 kg * 9.8 m/s^2 * 0.900 m = 4.41 J

Therefore, the work done by the force of gravity from A to B is 4.41 Joules.

b) From B to C, the change in height is zero since the string is already vertical. Hence, the work done by the force of gravity from B to C is zero.

c) The total work done by the force of gravity from A to C is the sum of the work done from A to B and from B to C.

Total work = Work from A to B + Work from B to C = 4.41 J + 0 J = 4.41 J

Therefore, the work done by the force of gravity from A to C is 4.41 Joules.

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I think it is the question:

A Pendulum Is Made Up Of A Small Sphere Of Mass 0.500 Kg Attached To A String Of Length 0.900 M. The Sphere Is Swinging Back And Forth Between Point A, Where The String Is At The Maximum Angle Of 35.0∘ To The Left Of Vertical, And Point C, Where The String Is At The Maximum Angle Of 35.0∘ To The Right Of Vertical. The String Is Vertical When The Sphere Is At

A pendulum is made up of a small sphere of mass 0.500 kg attached to a string of length 0.900 m. The sphere is swinging back and forth between point A, where the string is at the maximum angle of 35.0∘ to the left of vertical, and point C, where the string is at the maximum angle of 35.0∘ to the right of vertical. The string is vertical when the sphere is at point B.

a) Calculate how much work the force of gravity does on the sphere from A to B.

b) Calculate how much work the force of gravity does on the sphere from B to C.

c) Calculate how much work the force of gravity does on the sphere from A to C.

An object of mass \($10 \mathrm{~kg}$\) is moving with a uniform velocity of \($4 \mathrm{~ms}^{-1}$\). The kinetic energy possessed by the object is \($80 \mathrm{~J}$\).

Given:

Mass of an object \($=10 \mathrm{~kg}$\)

Velocity \($=4 \mathrm{~ms}^{-1}$\)

Kinetic Energy \($=1 / 2 \times$\) Mass of Object \($\times(\text { Velocity })^{2}$\)

\($\Rightarrow$\) Kinetic Energy \($=1 / 2 \times 10 \times 4 \times 4$\)

\($\Rightarrow$\)Kinetic Energy \($=\underline{80 \mathbf{J}}$\)

What is Kinetic Energy?

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Answer:

C. No, it is primarily a reflection of the increased productivity in agriculture and shift of the land to higher valued uses.

Explanation:

Declining acreage of land used for farming in the United States is not necessarily a major problem. The decline in land used for farming can be a reflection of increased productivity in agriculture, which allows farmers to produce more food on less land. Additionally, the shift of land to higher valued uses such as commercial development, housing, and recreation can also contribute to the decline in land used for farming. While it's important to ensure that there is enough land for food production, it's also important to consider the other economic and social benefits of different uses for land.

Answer:

a).\($3.99 \times 10^5 \ v/m$\)

b). 2.9925 kV

Explanation:

Given :

For mass spectrometer

The magnetic field = B

B = 0.105 T

a).  Given speed, v = \($3.8 \times 10^6 \ m/s$\)

We known

\($\frac{E}{B}=v$\)

∴ \($E= 3.8 \times 10^6 \times 0.105$\)

      \($=3.99 \times 10^5 \ v/m$\)

b). Now spectrometer, d = 0.75 cm

                                      \($d=0.75 \times 10^{-2} \ m$\)

We known

\($E=\frac{V}{d}$\)

\($V = E\times d$\)

\($V = 3.99 \times 10^5 \times 0.75 \times 10^{-2}$\)

\($V = 2.9925 \times 10^3 \ V$\)

   = 2.9925 kV

Answer:

288 Km/h

Explanation:

72x4=288

therefore 288 is your answer

a. the landing ramp should be placed at 276.298 ft horizontally from the launch point.

(b) the angle of the landing ramp is 30°.

(a)

Launch speed = 55.0 mph * (1.467 ft/s)

= 80.685 ft/s

Horizontal distance = Launch speed * Time of flight

Vertical velocity = Launch speed * sin(30.0°)

Time to reach maximum height = Vertical velocity / g

Vertical distance = (1/2) *g * t²

and Time = √(2 * Vertical distance / g)

Total time of flight = 2 * Time to reach maximum height + Time for descent

Horizontal distance = Launch speed * Total time of flight

The Vertical velocity = 80.685 ft/s * sin(30.0°)

= 40.3425 ft/s

Time to reach maximum height = 40.3425 ft/s / 32.2 ft/s²

Time to reach maximum height  = 1.253 s

Time of descent = √(2 * 25.0 ft / 32.2 ft/s²)

Time of descent  = 0.913 s

Total time of flight = 2 * 1.253 s + 0.913 s

Total time of flight = 3.419 s

In conclusion, the horizontal distance = 80.685 ft/s * 3.419 s

horizontal distance = 276.298 ft

b.

the angle of the landing ramp is  30.0 be the same as the launch angle.

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Given:

The potential difference between the bolt is

The current is

To find:

The power

Explanation:

The power is

Hence, the power is

Answer:

Explanation:

When spheres or objects come into contact and then move apart, it is typically due to the presence of an external force or energy imparted to the system. There are a few possible reasons for spheres to move apart after contact:

Elasticity: If the spheres are made of elastic materials, such as rubber or certain metals, they can deform upon contact and then regain their original shape when the external force is removed. This elasticity causes the spheres to move apart.

Repulsive forces: If the spheres have like charges or magnetic properties, they can experience repulsive forces when brought close together. These repulsive forces push the spheres apart once the external force is no longer present.

Conservation of momentum: If the spheres are initially at rest and then pushed together with an external force, the conservation of momentum requires them to move apart after the force is removed. This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

Overall, the specific reason for spheres moving apart after contact depends on the properties of the spheres and the nature of the external force or energy involved.

Answer:

Explanation:

The total amount of mass and energy in the universe is constant.....energy may change to mass and mass may change to energy, but the total is a constant.

Answer: The scenario violates the second law of thermodynamics.

Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.

3.37 ev  is the maximum kinetic energy in eV of electrons ejected from sodium metal by 2.2 x 102-nm EM radiation

E=hc/ λ

E= \((6.63 *10^-34*3*10^8/220 *10^-9\)

E=5.65-2.28

E=3.37eV

A moving item or particle might have power of a certain sort called kinetic energy. When work, which entails the transfer of energy, is done on an object by applying a net force, that object acquires kinetic energy. Kinetic energy, which depends on an item or particle's mass and velocity of motion, is a property of motion. Any combination of vibration, axis rotation, translation (or movement along a route from one place to another), and translation are all examples of motion. The translational kinetic energy of a body is equal to 1/2mv2, which is calculated by multiplying the mass, m, by the square of the speed, v.

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The rise in temperature of the body as determined from the specific heat capacity, mass, and heat change of the body is 12.24 °C.

The rise in temperature of the body is determined from the specific heat capacity, mass, and heat change of the body.

The formula relating the temperature rise of the body, the specific heat capacity, mass, and heat change of the body is given below:

Heat change = mass * specific heat capacity * temperature rise

Temperature rise = Heat change / mass * specific heat capacity

Temperature rise = 3.6 * 10⁶ J / 84 kg * 3,500 J/kg/°C

Temepartaure rise = 12.24 °C

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Answer: B. slow down as they lose energy