Find the total kinetic energy Ktot of a dumbbell of mass m when it is rotating with angular speed Ï and its center of mass is moving translationally with speed v. Denote the dumbbell's moment of inertia about its center of mass by Icm. Note: If you approximate the spheres as point masses of mass m/2 each located a distance r from the center and ignore the moment of inertia of the connecting rod, then the moment of inertia of the dumbbell is given by Icm=mr^2, but this fact will not be necessary for this problem.

Required:
Find the total kinetic energy Ktot of the dumbell.

Answer:the answer is 3

Explanation:

The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for t.

Hence, the time it takes the stone to fall is 1.2 seconds.

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An image which shows an object or objects moving with accelerated motion is: A. image A.

In Science, an acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

Mathematically, the acceleration of a physical object or body can be calculated by using this formula:

a = (V - U)/t

Where:  

Generally speaking, a physical object would experience an accelerated motion when the rate of change of velocity with respect to time throughout the motion is uniform and in a straight line.

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The time taken by the car to stop will be 4.53 seconds. The final velocity is zero and the initial velocity will be 86.08 ft./s.

Velocity is a vector quantity which measures distance covered per unit time. It is given that the acceleration of the car a is  19 ft/s². The distance it covered is 195 ft.

We have the expression for final velocity v initial velocity u and the time t with acceleration a as follows where the final velocity v for the car is zero.

0 = U -  at

u = at.

The relation between time, acceleration and initial velocity with distance d is written as:

d = u t - 1/2 at²

  =  at²  -1/2 at²

  = 1/2 at²

Thus, t = √(2d/a)

            = √(2×195 ft / 19 ft/s²)  

            = 4.53 s.

Initial velocity u = a t

                          = 4.53 s ×19 ft/s²

                          = 86.08 ft./s

Therefore, the initial velocity will be 86.08 ft./s.

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The dimensions of dose are equivalent to those of velocity squared. grays of dose would be numerically equivalent to the value of the speed of light squared is 8.9876 × 1016 grays of dose would be numerically equivalent to the value of the speed of light squared.

The unit of velocity is m/s, and the unit of dose is joule/kg. Therefore, to show that the dimensions of dose are equivalent to those of velocity squared, we must express joule/kg in terms of (m/s)2. Let's begin by expressing joule in terms of the base units kg, m, and s.1 joule = 1 kg m2 s-2Note that velocity squared can be expressed as m2/s2. Therefore, we need to make joule/kg in terms of m2/s2.

The unit of mass is kg. Therefore,1 joule/kg = 1 (kg m2 s-2) / kg This simplifies to1 joule/kg = m2/s2Therefore, the dimensions of dose (joule/kg) are equivalent to those of velocity squared (m2/s2). Now, we need to determine the number of grays of dose that would be numerically equivalent to the value of the speed of light squared. The speed of light is c = 299792458 m/s. The speed of light squared is c2 = (299792458 m/s)2 = 8.9876 × 1016 m2/s2.

The gray (Gy) is a unit of dose. It is defined as the absorption of one joule of radiation energy per kilogram of matter. Therefore, to determine the number of grays of dose equivalent to the value of the speed of light squared, we need to calculate how many joules of radiation energy are equivalent to the speed of light squared.

One gray is equal to one joule of radiation energy absorbed per kilogram of matter. Therefore, the number of grays equivalent to the speed of light squared is given by the equation: Number of grays = (Speed of light squared) / (Energy absorbed per kilogram)Number of grays = (8.9876 × 1016 m2/s2) / (1 joule/kg)Number of grays = 8.9876 × 1016 Gy  Therefore, 8.9876 × 1016 grays of dose would be numerically equivalent to the value of the speed of light squared.

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Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.

In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.

The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.

A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.

Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.

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Answer:

air and oxygen makes in bigger

Explanation:

Answer:

1) t = 3.45 s, 2)  x = 138 m, 3) v_{y} = -33.81 m /s, 4) v = 52.37 m / s ,

5) θ = -40.2º

Explanation:

This is a projectile exercise, as they indicate that the projectile rolls down the cliff, it goes with a horizontal speed when leaving the cliff, therefore the speed is v₀ₓ = 40 m / s.

1) Let's calculate the time that Taardaen reaches the bottom, we place the reference system at the bottom of the cliff

      y = y₀ + \(v_{oy}\) t - ½ g t²

When leaving the cliff the speed is horizontal  v_{oy}= 0 and at the bottom of the cliff y = 0

      0 = y₀ - ½ g t2

      t = √ 2y₀ / g

      t = √ (2 60 / 9.8)

      t = 3.45 s

2) The horizontal distance traveled

     x = v₀ₓ t

     x = 40 3.45

     x = 138 m

3) The vertical velocity at the point of impact

     v_{y} = I go - g t

     v_{y} = 0 - 9.8 3.45

     v_{y} = -33.81 m /s

the negative sign indicates that the speed is down

4) the resulting velocity at this point

   v = √ (vₓ² + v_{y}²)

   v = √ (40² + 33.8²)

   v = 52.37 m / s

5) angle of impact

    tan θ = v_{y} / vx

    θ = tan⁻¹ v_{y} / vx

    θ = tan⁻¹ (-33.81 / 40)

    θ = -40.2º

6) sin (-40.2) = -0.6455

7) tan (-40.2) = -0.845

8) when the projectile falls down the cliff, the horizontal speed remains constant and the vertical speed increases, therefore the resulting speed has a direction given by the angle that is measured clockwise from the x axis

In the given case on vectors, the displacements are not equal.

When a particle has gone the least distance, it is referred to as displacement. Both the magnitude and the direction are represented by the vector quantity. Vectors are a type of physical quantity that may be fully represented by both their magnitude and direction. For instance, distance travelled and speed, etc.

A line with an arrow on it is used to symbolise a vector quantity. The physical quantity's size is indicated by the arrow's length, and its direction by the arrow's direction. Given that vector A is longer than vector B, vector A must have a greater magnitude than vector B. These are not equal displacements as a result.

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Complete Question:

Two vectors pointing right starting at the same position. Vector A is on top and longer. Vector B is shorter and below. Are the two displacements equal? Explain your answer.

Answer: The answer is a because that's where it would be after it bounced

Question:

An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 61.3g.

If the volume of this sphere is less than ________ cm3, then the sphere will sink in liquid mercury (density = 13.6 g/cm3).

Answer:

\(Volume= 4.51cm^3\)

Explanation:

Given

Liquid: Mercury

\(Density = 13.6\frac{g}{cm^3}\) -- of liquid

\(Mass = 61.3g\)

Required

Determine the volume at which the liquid will sink

First, we need to calculate the volume of the sphere for which it will have the same density as the mercury.

This is calculated as follows

\(Density = \frac{Mass}{Volume}\)

Make Volume the subject

\(Volume= \frac{Mass}{Density }\)

Substitute values for Mass and Density

\(Volume= \frac{61.3}{13.6}\)

\(Volume= 4.51cm^3\)

This implies that:

If the volume of the sphere is less than 4.51, the density will be greater than the density of the mercury and so the object will sink

Take for instance:

\(Volume = 4cm^3\)

\(Density = 61.3/4 = 15.325g/cm^3\)

So, fill in the gap with \(4.51cm^3\)

Answer:

No

Explanation:

because there is no pressure

The work done by the gas during the isothermal expansion is 421 J, and the heat added to the gas during the isothermal expansion is 421 J.

Isothermal expansion refers to a thermodynamic process in which a gas expands at a constant temperature. During this process, the gas absorbs heat from its surroundings, which is converted into work done by the gas as it expands. The pressure and volume of the gas change, but the temperature remains constant throughout the process.

1. We can use the ideal gas law and the formula for work done in isothermal expansion to solve this problem:

The work done by the gas during the isothermal expansion is given by:

W = nRT ln(V2/V1)

where W is the work done, n is the number of moles of gas, R is the gas constant, T is the temperature, V1 is the initial volume, and V2 is the final volume.

Since the process is isothermal, the temperature remains constant, so we can simplify the equation to:

W = nRT ln(V2/V1)

We can find n by using the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, and T is the temperature.

Solving for n, we get:

n = PV/RT

Substituting the given values, we get:

n = (8 kPa x 6 L) / (8.31 J/mol·K x 273 K)

n = 0.164 mol

Now we can calculate the work done:

W = nRT ln(V2/V1)

W = (0.164 mol)(8.31 J/mol·K)(273 K) ln(8 L / 6 L)

W = 421 J

Therefore, the work done by the gas during the isothermal expansion is 421 J.

2. Since the process is isothermal, the temperature remains constant and the change in internal energy is zero. So, the heat added to the gas is equal to the work done on the gas:

Q = W

Q = 421 J

So, the heat added to the gas during the isothermal expansion is 421 J.

Therefore, The gas expands 421 J of work during isothermal expansion, and the gas absorbs 421 J of heat during the process.

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Potential energy (PE ) = m g h

Where:

m = mass = 3800 kg

g = acceleration due gravity = 10 m/s^2

h = heigth = 110 meters

Replacing:

PE = 3800 * 10 * 110 = 4,180,000 J

Answer:

I have no clue I'm just trying to get points

Explanation:

:) sorry

Answer:

F=w=ma                                                                                                                                                       OR by using equations of motions                                                                               vf=vi-at                    : a=vf-vi/t                                                              eq 1                         s=vit+1/2at squre                                                                                 eq 2                     2as=vf squre - vi squre                                                                        eq 3                                                                                                                                                                                  

Explanation:

where m is the mass of falling body , f is the weight is the force acting down ward , vf is the final velocity, vi is the inetial velocity , t is the time and s is the distance covered by a body.

Answer:

6bar

Explanation:

According to pressure law;

P1/T1 = P2/T2

Given the following;

P1 = 1bar

T1  = 20oC

P2 = ?

T2 = 120oC

Substitute

1/20 = P2/120

20P2 = 120

P2 = 120/20

P2 = 6bar

Hence the new pressure will be 6bar

Answer:

decrease

Explanation:

weight

As water accumulates in the car, its speed decrease according to Newton's second law of motion

Newton's second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

according to newton's second law

force = mass * acceleration

as water accumulate in the car , mass will increase

since mass and acceleration are inversely proportional to each other

hence , acceleration will decrease and speed will decrease

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Sound will travel fastest in air at 15°C.

The speed of sound in air, given in the range of 100 degrees Celsius and 0 degree Celsius include;

Air at 100°C 387 m/s

Air at 0°C 331 m/s

From the date above, the speed of sound in air increases with increases in temperature. Thus, Sound will travel fastest in air at 15°C.

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(a) The minimum force F he must exert to get the block moving is 38.9 N.

(b) The acceleration of the block is 0.79 m/s².

The minimum force F he must exert to get the block moving is calculated as follows;

Fcosθ = μ(s)Fₙ

Fcosθ = μ(s)mg

where;

F = [0.1(36)(9.8)] / [(cos(25)]

F = 38.9 N

F(net) = 38.9 - (0.03 x 36 x 9.8) = 28.32

a = F(net)/m

a = 28.32/36

a = 0.79 m/s²

Thus, the minimum force F he must exert to get the block moving is 38.9 N.

The acceleration of the block is 0.79 m/s².

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Two significant figures and include the appropriate units. I1 =2A.

The power of a positive attitude is often underestimated. People who come into life with a positive outlook have the ability to make the most out of any situation. They are more likely to take risks, have the courage to make difficult decisions, and work hard to achieve their goals. Positive attitudes also lead to better mental and physical health, as well as improved relationships with others. Having a positive attitude also leads to increased motivation, which can help people stay focused on their goals and stay motivated to achieve them.

The direction of the current through in the figure. to the right to the left.

Two significant figures and include the appropriate units. I2 = 4A.

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Answer:

1. S = d/t S = speed D = distance traveled T= time elapsed

Explanation:

i can answer more in a minute sorry!!

The force of the baseball is 1.86 N

The first step is to write out the parameters given in the question;

mass of the ball is 0.075 kg

acceleration of the ball is 25 m/s²

Force is what makes objects move, force can change the initial shape of an object, it can also change the speed at which it move. Force can be calculated by multiplying mass and acceleration of the object.

Force= mass × acceleration

0.075 × 25

= 1.86 N

Hence the force of the baseball is 1.86 N

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Answer:

sinco

Explanation:

Potential at C with respect to B is +65 volts (C with respect to ground) - +80 volts (B with respect to ground) is -15 volts with respect to B.

To find the potentials at B, C, and D with respect to the ground:

Potential at B with respect to ground:

Since A is at +100 volts with respect to ground and +20 volts with respect to B, we can deduce that B is 100 - 20 = +80 volts with respect to ground.

Potential at B = +80 volts with respect to ground.

Potential at C with respect to ground:

C is at +15 volts with respect to D, and D is at +50 volts with respect to E. Since E is at ground potential (0 volts), we can calculate the potential at C with respect to ground by adding the potentials:

Potential at C = +50 volts (D with respect to E) + 15 volts (C with respect to D) = +65 volts with respect to ground.

Potential at D with respect to ground:

D is at +50 volts with respect to E, and E is at ground potential (0 volts). Therefore, the potential at D with respect to ground is:

Potential at D = +50 volts (D with respect to E) + 0 volts (E with respect to ground) = +50 volts with respect to ground.

Now, let's calculate the potential at C with respect to B and D:

Potential at C with respect to B:

We know that A is at +20 volts with respect to B. Combining this information with the potential at A (+100 volts with respect to ground), we can determine the potential at B with respect to ground:

Potential at B = +100 volts with respect to ground - +20 volts (A with respect to B) = +80 volts with respect to ground.

Since we already calculated the potential at C with respect to ground as +65 volts, we can find the potential at C with respect to B:

Potential at C with respect to B = +65 volts (C with respect to ground) - +80 volts (B with respect to ground) = -15 volts with respect to B.

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Answer:

it comprises of the DNA/RNA bipolymer molecules

The definition of horsepower is . A. the amount of force used to cover the length of an English associated activities track B. the practical benefit of utilizing a standard horse

Who developed the horsepower?

James Watt, an engineer, is credited with creating the term horsepower. According to legend, Watt wanted to find a method to describe the power that one of those animals could produce while he was dealing with ponies in a coal mine. An engine is connected to a dynamometer in order to determine its horsepower.

What is the power of a horse?

The most prevalent unit of power is horsepower , which measures how quickly work is completed. According to the British Imperial Units, a horsepower is equivalent to 33,000 walking of work per minute, or the force required to elevate a mass of 3 million pounds one foot in a minute.

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