The figure shows a 2.4 kg ball attached to anunknown spring and allowed to oscillate. Findthe:A) PeriodB) FrequencyC) Angular FrequencyD) AmplitudeE) Spring Constant

The moment of inertia of the uniform cylindrical grinding wheel is 2,150 kgm².

What is the moment of inertia?

This refers to the angular mass or rotational inertia can be defined with respect to the rotation axis, as a property that shows the amount of torque needed for a desired angular acceleration or a property of a body due to which it resists angular acceleration. The unit is kgm².

From the question:

Mass,M =4.2kg

Radius, R=32Cm

The formula for calculating the moment of inertia for uniform cylindrical grinding wheel:

moment of inertia, I =1/2MR²

I =\(\frac{1}{2}\) * 4.2 * 32²

  =2,150.4 kgm²

Learn more about the moment of inertia on

https://brainly.com/question/13128128

#SPJ1

a. The student's final position is 100.5 meters at an angle of 25.2° north of east from her initial position and b. The student would have to head in the direction of 334.8° south of east to return to her initial position.

a. To find the student's final position, we can use vector addition. We can start by breaking each displacement vector into its x- and y-components. First displacement (70 m at 37° north of east),

x-component = 70 cos(37°) = 56.02 m

y-component = 70 sin(37°) = 42.49 m

Second displacement (82 m at 20° south of east),

x-component = 82 cos(-20°) = 78.72 m

y-component = 82 sin(-20°) = -28.12 m

Third displacement (28 m at 30° west of north),

x-component = 28 sin(30°) = 14 m

y-component = 28 cos(30°) = 24.24 m

We can add the x-components and y-components separately to get the total displacement,

x-displacement = 56.02 m + 78.72 m - 14 m = 120.74 m

y-displacement = 42.49 m - 28.12 m + 24.24 m = 38.61 m

The magnitude of the total displacement is,

|d| = √(x-displacement² + y-displacement²)

|d| = √(120.74² + 38.61²)

|d| = 126.0 m.

The direction of the total displacement can be found using the inverse tangent function,

θ = atan(y-displacement/x-displacement)

θ = atan(38.61/120.74)

θ = 17.4° north of east. Therefore, the student's final position is 126.0 m at 17.4° north of east.

b. To return to her initial position, the student would need to walk the same distance and direction as her total displacement but in the opposite direction. The opposite direction of 17.4° north of east is 162.6° south of west. Therefore, she would need to walk 126.0 m at 162.6° south of west to return to her initial position.

To know more about vector addition, visit,

https://brainly.com/question/30426215

#SPJ1

Answer:

HEY PLS LISTEN THERE IS A GUY GOING AROUND TELLING GIRLS TO JOIN HIS ZOOM ON BRAINLY AND MAKING ACCS AND STUFF TO MAKE PEOPLE JOIN HIS ZOOM.THE CODE IS 387 187 6280 HES A PEDXO AND TELLING GIRLS TO SHOW THERE BODIES TO HIM. SO PLEASE BE AWARE! COPY AND PASTE THIS TO SPREAD THE WORD!

Explanation:

HEY PLS LISTEN THERE IS A GUY GOING AROUND TELLING GIRLS TO JOIN HIS ZOOM ON BRAINLY AND MAKING ACCS AND STUFF TO MAKE PEOPLE JOIN HIS ZOOM.THE CODE IS 387 187 6280 HES A PEDXO AND TELLING GIRLS TO SHOW THERE BODIES TO HIM. SO PLEASE BE AWARE! COPY AND PASTE THIS TO SPREAD THE WORD!

Icecaps and Glaciers

Explanation:

Icecaps and Glaciers hold 68 percent of fresh water on earth :)

Given:

• Mass of person, m = 27 kg

• Force = 432 N

Let's find the acceleration.

To find the acceleration, apply Newton's Second Law:

Where:

F is the Force

m is the mass

a is the acceleration.

Rewrite the formula for a, plug in the values of m and F, the solve:

Therefore, the acceleration is 16 m/s².

ANSWER:

16 m/s²

The amount of work done to push the protons is 7.67 X 10⁻¹⁴ J. If the protons are both released from rest at the closer distance, then the speed at which they reach their original separation is 6.77 X 10⁶ m/s.

Initial distance = d = 2 X 10⁻¹⁰ m

Final distance = d' = 3 X 10⁻¹⁵ m

Mass of both protons = 1.6 X 10⁻²⁷ Kg each

Charge of both protons = q = 1.6 X 10⁻¹⁹ C each

The constant for proton energy = 1/(4πε) = 9 X 10⁹ Nm²/C²

The potential change changes when their is a change in the work done, thus, potential energy initially = U =

= U = 1/(4πε) X (q₁q₂ / d)

= U = ( 9 X 10⁹ X 1.6 X 10⁻¹⁹  X 1.6 X 10⁻¹⁹ ) / 2 X 10⁻¹⁰

= U = 11.52 X 10⁻¹⁹ J

Now, finial potential energy = U' =

= U' = 1/(4πε) X (q₁q₂ / d')

= U' = ( 9 X 10⁹ X 1.6 X 10⁻¹⁹  X 1.6 X 10⁻¹⁹ ) / 3 X 10⁻¹⁵

= U' = 7.68 X 10⁻¹⁴ J

Thus, the work done to push the two protons is the different between final potential energy and the initial potential energy = W =

= W = U' - U

= W =11.52 X 10⁻¹⁹ - 7.68 X 10⁻¹⁴

= W = 7.67 X 10⁻¹⁴ J

Now, the speed of protons while coming back to the original positions = V;

Work done is also equal to the sum of kinetic energy's, hence,

= W = KE + KE'

= W = (1/2)mv² + (1/2)mv'²

= W = 2 X (1/2)mV²

= V = √ (W / m)

= V = √ (7.67 X 10⁻¹⁴ / 1.6 X 10⁻²⁷)

= V = 6.77 X 10⁶ m/s

To know more about Work Done:

https://brainly.com/question/14913350

#SPJ4

Answer:The sun is not a particularly large star. It appears brighter because it is only 93 to 95 million miles away or about 8 light minutes. Whereas the next closest star is 4.5 light years away.

Explanation: does this need an explanation? no, exactly.

The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

Learn more about acceleration here: https://brainly.com/question/14344386

#SPJ1

Phrases in this set (10) 5.0 seconds after observing the flash, You should be 2.7 kilometers away. In an unidentified medium, the wavelength of a sound wave at 2280 Hz is 0.655 m.

The distance between two identical locations (adjacent crests) as in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted across wires or space. In wireless systems, its length is commonly specified in meters (m), centimetres (cm), or micrometer (mm) (mm).

illustrations of wavelengths. All visible light has a wavelength between 400 and 700 nanometers (nm). Yellow light has a wavelength of about 570 nanometers. Infrared energy is defined as being "redder than red" but having a wavelength that's too long to be seen.

To know more about wavelength visit:

https://brainly.com/question/13533093

#SPJ1

Final velocity

Data & Formula:

. final velocity: vf = ?

. initial velocity : vi = 1.9 m/s

. acceleration : a = 0.060m/s^2

. distance : d = 8.5 km

Answer:

GPE = mgh = 5.00 kg .

 2.20 + 0.30 m = 122.5 J

Explanation:

Answer:

167?

Explanation:

i added both

Answer:

The specific heat capacity is the heat or energy required to change one unit mass of a substance of a constant volume by 1 °C. The formula is Cv = Q / (ΔT ⨉ m)

Answer:3000

Explanation:

given:u=0v=20m/st= 8sec

thereforea=v-u/t=20-0/8=20/8=5/2 m/som=1200 kg

thereforef=ma=1200*5/2=600*5=3000N

From the acceleration yo can find the rest of the expressions by integrating the initial equations

Is important to put the constants when you integrate, they can affect the result when you solve the system

After having the expressions, you replace the assumptions, in this case, v and d are 0, when time t is 0

Answer:

The elevator is stationary

Answer:

Answer is explained in the explanation section below.

Explanation:

Note: This question is incomplete and lacks the necessary diagram of the circuits to solve for this question. However, I have found similar question on the internet and dragged the diagrams out of it. I have attached the diagrams of the circuits for your ease. It has two circuits to be solved. Attachment 1 refers to first circuit and Attachment 2 refers to second circuit.

Solution:

We are asked to find the potential difference and current through each resistor.

So,

Calculations for Circuit 1: Please refer to Attachment 1

First we need to find the Resistance:

Req = \(\frac{9 . 6}{9+6} +3\)

R = 6.6 Ohm

Now, we know that:

V = IR

So,

I = V/R

V = 12 V

I = 12 V/ 6.6 ohm

I = 1.82 Amperes.

Now,

The Potential Difference through 3 ohm resistor:

P.D = \(V_{3}\) = 1.82 x 3

\(V_{3}\) = 5.45 V

Now,

The Potential Difference through 6 ohm and 9 ohm resistor:

\(V_{6/9}\) =  12V - 5.45V

\(V_{6/9}\) =  6.545V

Now,

The current through 6 ohm is:

\(I_{6}\) = \(\frac{6.545}{6}\)

\(I_{6}\) = 1.09 A

Now,

The Current through 9 ohm is:

\(I_{9}\)  = \(\frac{6.545}{9}\)

\(I_{9}\)  = 0.72 A

Similarly,

Calculations for Circuit 2: Please refer to attachment 2:

Req = \(\frac{(30+50).90}{90+(30+50)} +20\)

Req = 62.35 ohm

I = V/R

I = 12 V/ 62.35ohm

I = 0.192 Amperes.

Now,

The The Potential Difference through 20 ohm resistor:

\(V_{20}\) = 20 x 0.192

\(V_{20}\) = 3.849 V

Now,

The The Potential Difference through 90 ohm resistor:

\(V_{90/(30+50)}\) = 12 - 3.849

\(V_{90/(30+50)}\) = 8.150

Now,

The Current through 90 ohm is:

\(I_{90}\)  = 8.1509/90

\(I_{90}\) = 0.0905 Amperes

Now,

The Current through 30 and 50 ohm is:

\(I_{30/50}\) = 0.192 - 0.0905

\(I_{30/50}\)  = 0.101 A

Now,

The Potential Difference through 50 ohm resistor:

\(V_{50}\) = 50 x 0.101

\(V_{50}\)  = 5.094 V

The Potential Difference through 30 ohm resistor:    

\(V_{30}\) = 30 x  0.101

\(V_{30}\) = 3.0566 V

The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

For such more question on magnitude

https://brainly.com/question/30337362

#SPJ8

Answer:

which on a is the question

Answer:

e

Explanation:

The relative change in the spring constant (∆k/k) is approximately 0.11. Option A

To find the relative change in the spring constant (∆k/k) of the NaCl crystal under pressure, we can use the equation :

Δf/f = -Δk/k

where Δf is the change in frequency, f is the initial frequency, Δk is the change in the spring constant, and k is the initial spring constant.

Given that the initial frequency is f = 5.3x10^15 Hz and the change in frequency is Δf/f = 0.11, we can rearrange the equation to solve for Δk/k:

0.11 = -Δk/k

Now we can solve for Δk/k:

Δk/k = -0.11

Since the value is negative, we can consider the absolute value to obtain the relative change in the spring constant:

Δk/k ≈ 0.11.

Option A is correct.

For more such questions on spring constant visit:

https://brainly.com/question/23885190

#SPJ11

The difference in mass is then 2.01649u - 2.01355u = 0.00294u. This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.

What is mass?
Mass is a measure of the amount of matter an object contains. It is different from weight, which is a measure of the force gravity exerts on an object. Mass is typically measured in kilograms (kg) or grams (g).

The energy released in this reaction is equal to the mass difference between the products and the reactants multiplied by the speed of light squared. In this reaction, the mass of the reactants (1 proton and 1 neutron) is equal to 1.007825u + 1.008665u = 2.01649u.

The mass of the product (deuterium nucleus) is 2.01355u.  

This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.

To learn more about mass

https://brainly.com/question/19385703

#SPJ4

Complete question is;

A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change?

Answer:

182.84 %

Explanation:

Formula for rate of heat transfer of an infinite log fin is given as;

q_f1 = (π/2) × (hk)^(½)) × D^(3/2)) × (T_b - T_∞)

Where D is diameter.

Now, if the diameter of the rod is doubled, it means Diameter is now 2D.

Thus;

q_f2 = (π/2) × (hk)^(½)) × (2D^(3/2)) × (T_b - T_∞)

To find how much the rate of heat removal will change, we will calculate as follows;

((q_f2/q_f1) - 1) × 100

Plugging in the relevant expressions, we have;

([[(π/2) × (hk)^(½)) × ((2D)^(3/2)) × (T_b - T_∞)]/[(π/2) × (hk)^(½)) × (D^(3/2)) × (T_b - T_∞)]] - 1) × 100

Upon simplifying, we have;

(((2D)^(3/2))/(D^(3/2)) - 1) × 100

((2^(3/2)) - 1) × 100

This gives;

182.84 %

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

for more questions on resultant vector

https://brainly.com/question/110151

#SPJ8

The centripetal acceleration of this ball is equal to 12 \(m/s^2\)

Given the following data:

Radius = \(\frac{Diameter}{2} = \frac{1.5}{2} = 0.75 \;meters\)

To find the centripetal acceleration of this ball:

The acceleration of an object along a circular track is referred to as centripetal acceleration.

Mathematically, the centripetal acceleration of an object is given by the formula:

\(A_c = \frac{V^2}{r}\)

Where:

V is the velocity of an object.

Substituting the given parameters into the formula, we have;

\(A_c = \frac{3^2}{0.75}\\\\A_c = \frac{9}{0.75}\\\\A_c = \frac{9}{0.75}\)

Centripetal acceleration = 12 \(m/s^2\)

Read more: https://brainly.com/question/6082363

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

for such more questions on  mass

https://brainly.com/question/86444

#SPJ8

Answer:

a break in the circuit can also cause this problem

(a) The work done by the donkey on the cart is 59,721.9 J.

(b) The work done by the force of gravity on the cart is -48,434.87 J.

(c) The work done on the cart by friction during this time is 11,315.12 J.

(a) The work done by the donkey on the cart is calculated as follows;

Wd = Fd cosθ

where;

Wd = 375 N x 163 m x cos(12.3)

Wd = 59,721.9 J

(b) The work done by the force of gravity on the cart is calculated as;

Wg =  Fg x d x cosθ

Where;

θ = 90⁰ + 4.03⁰ = 94.03⁰

Wg = (431 kg x 9.81 m/s²) x 163 m x cos (94.03)

Wg = -48,434.87 J

(c) The work done on the cart by friction during this time is calculated as;

Wf = Ff x d x cosθ

where;

Ff = μmg cosθ

Ff = 0.0165 x 431 kg x 9.81 x cos (4.03)

Ff = 69.59 N

Wf = 69.59 x 163 x cos (4.03)

Wf = 11,315.12 J

Learn more about work done by gravity here: https://brainly.com/question/15352390

#SPJ1

The following statements about random assignment is true:

It works best with a larger number of participants because there is more opportunity for extraneous variables to be equally distributed to each group.

For more such questions on Random assignment, click on:

https://brainly.com/question/28218462

#SPJ8