What is the form of the equation of motion for the SHM of a mass suspended on a spring when the mass is initially
(a) released 10 cm above the equilibrium position;
(b) given an upward push from the equilibrium position, so that it undergoes a maximum displacement of 8 cm;
(c) given a downward push from the equilibrium position, so that it undergoes a maximum displacement of 12 cm? (Hint: Sketch the curve for the motion as in TI Fig. 14.2 and fit the appropriate trigonometric function to the curve.)
For case (a) in Question 6 only, what is the displacement y of the mass at times
(a) t = T/2;
(b) t = 3T/2;
(c) t = 3T?

Answer:

1,252

Explanation:

Answer:

Two tectonic plates move away from each other

Explanation:

I just did this on AP3X. If this is not what your lookinf for then so sorry

Answer:

Pepsi- 660 Calories

Hot Dog- 3 Calories

Popcorn- 210 Calories

Total Calories in all 3 - 873 Calories

In the first diagram both dogs are pulling with the same force from opposite sides. Hence, balance each other and no displacement to the rope. In the second diagram force to the left dominates. A net force of 8 N to the left, pull the rope to left direction.

Force is an external agent acting on a body to change its motion or to deform it. The net force acting on the body depends on the direction and magnitude of all  the force acting on it.

If two equal forces acts on the body from the same side they add up together and the net force is their sum. If the forces are acting from the opposite sides, they will cancel each other and is said to be balanced.

In the first diagram, both dogs are pulling the rope with 12 N from opposites sides and the forces gets canceled each other.

In the second diagram, the force to the left dominates by 8 N. Then, the net force is 8N to the left. In the third case, both dogs are pulling from the same side. Hence, the net force is 32 N to the right.

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Your complete question is:

Explain whether the forces shown in each diagram are balanced or unbalanced.

The related image is attached below:

In order to make these conversions, we need to understand the relationship between Celsius (°C), Kelvin (K), and Fahrenheit (°F) temperatures.

Starting with the first two conversions, 0°C to K and 273°C to K, we know that Kelvin is simply Celsius plus 273. So, 0°C + 273 = 273 K, and 273°C + 273 = 546 K.
The third conversion, 0 K to °C, is a bit trickier since Kelvin is an absolute temperature scale and does not have negative values like Celsius and Fahrenheit. However, we can use the same relationship as before and subtract 273 from 0 K to get -273°C, which is also known as absolute zero.
Moving on to the next two conversions, 25°F to °C and 15°C to °F, we can use conversion formulas. To convert Fahrenheit to Celsius, we subtract 32 and multiply by 5/9. So, (25°F - 32) x 5/9 = -3.89°C. To convert Celsius to Fahrenheit, we multiply by 9/5 and add 32. So, (15°C x 9/5) + 32 = 59°F.
The next conversion, 50°F to K, requires a similar formula to convert Fahrenheit to Celsius and then add 273 to get Kelvin. So, (50°F - 32) x 5/9 + 273 = 283.15 K.
Lastly, 5 K to °F requires us to first subtract 273 from Kelvin to get Celsius, and then use the formula to convert Celsius to Fahrenheit. So, (5 K - 273) x 9/5 + 32 = -450.67°F.
In summary, we can use conversion formulas and relationships to make temperature conversions between Celsius, Kelvin, and Fahrenheit. It's important to remember the formulas and relationships to ensure accurate conversions.

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Answer:B. Mountain Pose

Explanation:

To keep the leg in the raised position, the tendon should provide 160N force.

The rotating force or moment of a force around a particular axis or pivot point is measured by torque. The tendency of a force to cause an object to spin along an axis is described as a vector quantity, torque.

Given: combined mass of the lower leg and the foot, m = 3.6kg

position of the center of gravity, r1 = 25cm

r = 0.25m

distance between tendon and lower leg, r2 = 5cm = 0.05m

torque applied will be τ = 3.6 × 10 × 0.25

τ = 8 N-m

the force applied by tendon

F = τ/ r2

F = 8/ 0.05

F = 160N

Therefore, To keep the leg in the raised position, the tendon should provide 160N force.

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If both boxes are push the same distance, then the heavier box will have the smaller final momentum, Option 2 is correct

What is momentum?
A characteristic of a moving body that it possesses due to its mass and motion and which, in general, is equal to the product of the body's mass and velocity: a characteristic of a moving body that establishes how long it will take to bring the body to rest when subjected to a constant force.

The product of a particle's mass as well as velocity is momentum. Momentum is a vector quantity that has both magnitude as well as direction. The force exerted on a particle is equated to the time rate of change of momentum by Isaac Newton's second equation of motion.

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The mass of the object attached to the spring is approximately 0.119 kg.

To determine the mass of the attached object using the spring, we can utilize Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

Hooke's Law can be expressed as:

F = k * x

Where:

F is the force exerted by the spring,

k is the spring constant, and

x is the displacement of the spring from its equilibrium position.

The frequency of the spring's motion (f) can be related to the mass (m) and the spring constant (k) using the equation:

f = (1 / (2π)) * √(k / m)

Rearranging this equation, we can solve for the mass:

m = (k / (4π² * f²))

Given:

Spring constant (k) = 3 N/m

Frequency (f) = 0.8 Hz

Substituting these values into the equation, we get:

m = (3 N/m) / (4π² * (0.8 Hz)²)

Calculating this expression:

m ≈ 0.119 kg

Therefore, the mass of the object attached to the spring is approximately 0.119 kg.

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The mass attached to the spring is approximately 0.238 kg.

To find the mass attached to the spring, we can use the formula for the angular frequency (ω) of a mass-spring system:

ω = √(k / m),

where ω is the angular frequency, k is the spring constant, and m is the mass.

Given:

k = 3 N/m (spring constant),

f = 0.8 Hz (frequency).

First, let's convert the frequency from Hz to radians per second (rad/s):

ω = 2πf = 2π(0.8) ≈ 5.03 rad/s.

Now, we can solve the formula for m:

ω = √(k / m),

m = k / ω^2,

m = 3 N/m / (5.03 rad/s)^2.

Calculating the value:

m ≈ 3 N/m / (5.03 rad/s)^2 ≈ 0.238 kg.

Therefore, the mass attached to the spring is approximately 0.238 kg.

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Answer:

4.A book sitting on a table

Explanation:

I think it D I took the test last year

Answer:

See Below

Explanation:

1: Thermal  Energy

2: Chemical Energy

3: Nuclear Energy

4: Electrical Energy

5: Radiant Energy

6: Light Energy

7: Motion Energy

8: Sound Energy

There are 8 types are energy that are above.

Hope this helps.

Answer:

True

Explanation:

mass, length, time, electric current, temperature, luminous intensity and amount of substance

The  helium neon laser emits approximately 1.62 x 10^25 photons per second.

To calculate the number of photons emitted per second by a laser, we can use the following formula:

Number of photons = (Power / Energy of one photon) * (1 / Efficiency)

where:
- Power is the power output of the laser in watts (W)
- Energy of one photon is the energy of a single photon in joules (J)
- Efficiency is the efficiency of the laser (a dimensionless quantity representing the fraction of input power that is converted to laser output)

The energy of one photon with a wavelength of 633 nm can be calculated using the formula:

Energy of one photon = h * c / λ

where:
- h is Planck's constant (6.626 x 10^-34 J s)
- c is the speed of light (299,792,458 m/s)
- λ is the wavelength in meters

Converting the wavelength of 633 nm to meters:

λ = 633 nm = 633 x 10^-9 m

Plugging in the values:

Energy of one photon = (6.626 x 10^-34 J s) * (299,792,458 m/s) / (633 x 10^-9 m)
                    = 3.14 x 10^-19 J

Now we can calculate the number of photons emitted per second:

Number of photons = (Power / Energy of one photon) * (1 / Efficiency)
                 = (5.10 x 10^6 W) / (3.14 x 10^-19 J) * (1 / 1)
                 = 1.62 x 10^25 photons/second

Therefore, the helium neon laser emits approximately 1.62 x 10^25 photons per second.

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Oh it has ! It has ! That's exactly where you get all the energy you use to think, breathe, and move.

Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = \(v_t\)

Velocity of the car = \(v_c\)

According to Newton's third law of motion, action and reaction are equal and opposite

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

\(a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1\)

Therefore;

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Answer:

Mono-chromatic, Poly-chromatic. When a wave moves from one medium into another at an angle other than 90 degrees the wave will change direction and continue to follow a new straight-line path

                                              Thank you

The largest repulsive force is when the charges are equal and have the same magnitude, given that the charges are stationary and separated by a distance r.

Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the distance between them. The formula for

Coulomb's Law is: F = k(q1q2 / r^2)where F is the force between the charges, q1, and q2 are the magnitudes of the charges, r is the distance between the charges, and k is Coulomb's constant. Coulomb's constant, k, is equal to 9 x 10^9 Nm^2/C^2.

To calculate the force, we have to multiply Coulomb's constant, k, by the product of the charges, q1 and q2, and divide the result by the square of the distance between the charges, r^2.

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Answer:Divergent boundaries -- where new crust is generated as the plates pull away from each other.

Convergent boundaries -- where crust is destroyed as one plate dives under another.

Transform boundaries -- where crust is neither produced nor destroyed as the plates slide horizontally past each other.

Explanation:

Answer:

(C)

Explanation:

Because the photons being different makes them have different amounts of energy, they both with have a precise and different energy from each other.

The linear function expressing pressure (p) as a function of depth (d) is: p = 0.03d + 1. The pressure at a depth of 660 ft is approximately 20.8 atm.

a) To find a linear function that expresses pressure as a function of depth, we can use the given data points (depth, pressure) = (100 ft, 4 atm) and (200 ft, 7 atm).

Let's denote the depth as "d" and the pressure as "p". We can set up a linear equation in the form p = mx + b, where m represents the rate of change of pressure with respect to depth, and b is the y-intercept.

Using the two data points, we can find the slope (m) as:

m = (change in pressure) / (change in depth)

= (7 atm - 4 atm) / (200 ft - 100 ft)

= 3 atm / 100 ft

= 0.03 atm/ft

Substituting one of the data points (100 ft, 4 atm) into the linear equation, we can find the y-intercept (b):

4 atm = 0.03 atm/ft * 100 ft + b

b = 4 atm - 3 atm

b = 1 atm

Therefore, the linear function expressing pressure (p) as a function of depth (d) is:

p = 0.03d + 1

b) To determine the pressure at a depth of 660 ft using the function from part (a), we substitute d = 660 ft into the equation:

p = 0.03 * 660 + 1

p = 19.8 + 1

p ≈ 20.8 atm

Thus, the pressure at a depth of 660 ft is approximately 20.8 atm.

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To determine which figures have an area greater than 40 square centimeters, we need to calculate the area of each figure and compare it to 40 square centimeters. Let's calculate the area of each figure:

A. Triangle:

Area = (1/2) * base * height = (1/2) * 8 cm * 9 cm = 36 square centimeters

B. Square:

Area = side * side = 7 cm * 7 cm = 49 square centimeters

C. Rectangle:

Area = base * height = 14 cm * 3 cm = 42 square centimeters

D. Parallelogram:

Area = base * height = 5 cm * 6 cm = 30 square centimeters

So, options B and C have areas greater than 40 square centimeters.

Answer:

the orbit radius would be divided by 3

Explanation:

In order to orbit the planet, the centripetal force of satellite must balance the gravitational force between planet and satellite.

centripetal Force = Gravitational Force

(Ms)(V)²/r = (G)(Ms)(Mₓ)/r²

V² = GMₓ/r

where,

V = velocity of satellite

G = Gravitational Constant

Mₓ = Mass of Planet

r = orbit radius

but, G = gr²/Mₓ

Therefore,

V² = (Mₓ/r)(gr²/Mₓ)

V = √gr   --------------------- equation (1)

where,

g = force of gravity

Now, for change in force of gravity:

V' = √g'r'  

where,

g' = 3g

V' = V

Therefore,

V = √3gr'   ---------------- equation (2)

Comparing equation (1) and equation (2), we get:

√gr = √3gr'

gr = 3gr'

r = 3r'

r' = r/3

Hence, the orbit radius would be divided by 3.

The phenomenon observed is doppler effect and the speed of the ambulance would be 374 m/s.

The Doppler effect equation for sound waves is given by:

f' = f(v ± v₀) / (v ± vᵢ)

Where f is the frequency of the emitted sound wave, f' is the observed frequency, v is the speed of sound in air, v₀ is the velocity of the observer relative to the air, and vᵢ is the velocity of the source relative to the air.

In this case, the person standing next to the road is the observer, and the ambulance is the source. The observed frequency f' is 0.9f, and the speed of sound in air v is 340 m/s.

Substituting these values into the equation, we get:

0.9f = f(v + v₀) / (v - vᵢ)

Simplifying and rearranging, we get:

v₀ = (0.1v + vᵢ)

The ambulance is moving away from the observer, so v₀ is negative. Substituting the known values, we get:

v = 340 m/s

v₀ = -0.1v

v - v₀ = v + 0.1v = 1.1v

Therefore, the velocity of the ambulance is:

vᵢ = v(1 - v₀/v) = v(1 + 0.1) = 1.1v

vᵢ = 1.1(340 m/s) = 374 m/s

So the speed of the ambulance is 374 m/s.

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Answer:

The correct answer is "6.015×10⁴ J/K".

Explanation:

The given values are:

Mass of water,

= 10 kg

Latent heat of boiling,

= 2257 kJ

Constant temperature,

= 100°C

The entropy change will be:

= \(\frac{mass\times latent \ heat \ of \ boiling}{temperature}\)

On substituting the values, we get

= \(\frac{10\times 2257\times 1000}{(273+100)K}\)

= \(\frac{22,570,000}{373K}\)

= \(6.051\times 10^4 \ J/K\)

Person-1

\(\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{10-0}{10}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{10}{10}\)

\(\\ \sf\longmapsto Acceleration=1m/s^2\)

Person-2

\(\\ \sf\longmapsto Acceleration=\dfrac{0.25-0}{2}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{0.25}{2}\)

\(\\ \sf\longmapsto Acceleration=0.125m/s^2\)

Person-1 is accelerating faster.

Answer:

sure

Explanation:

Answer:

250 times 10= 2,500, squared, the answer is 25,000

Explanation:

force= mass times acceleration, squared means multiply that number again, since 10 is squared you multiply by ten again

There are 125 neutrons in an ion of lead 207.

The number of neutrons in an ion can be calculated by subtracting the atomic number (number of protons) from the mass number (number of protons and neutrons).

From a periodic table, we can know that lead has an atomic number of 82. Lead 207 also means that it has a mass of 207. Based on this information, we can calculate the atom's mass number, atomic number, and neutron number by the following formula:

  mass number - atomic number = number of neutron

  207 - 82 = 125

Therefore, an ion of lead 207 has a number of neutrons of 125.

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Sara pushed a box of lab equipment along the ground, displacing it by 1 meter. she has done work on the box of lab equipment.

When a force is applied and an object is moved over a specified distance, a work has been completed. The following formula is used to calculate an object's work,

W = Fd

Where, F is the applied force, and d is the object's displacement.

Therefore ,Sara has therefore completed her work on the box of lab equipment when she moves it by 1 m.

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