A Ferris wheel has a 40-foot radius and the center of the Ferris wheel is 48 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 2 radians per minute. Enrique boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started.

Write an expression (in terms of t ) to represent the number of radians Enrique has swept out from the 3-o'clock position since the ride started.

a. The ball's velocity after 0.24 s is 0.75 m/s

b. The acceleration of the ball is given by the acceleration due to gravity

a. The ball's velocity can be calculated with the following equation:

\( v_{f} = v_{0} - gt \)

Where:

\( v_{f} \): is the final speed =?

\(v_{0}\): is the initial speed = 3.1 m/s

g: is the acceleration due to gravity = 9.81 m/s²

t: is the time = 0.24 s

The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).

The final speed is:

\( v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s \)

Hence, the ball's velocity after 0.24 s is 0.75 m/s.

b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.  

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The neutron number of an atom X, which undergoes alpha, and beta decay reduces the neutron number by 6.  

Alpha decay is the nuclear process in which the parent nucleus emits an alpha or helium particle to form a daughter nucleus. When a particle emits an alpha nucleus, the nucleus loses its two protons and two neutrons. Beta decay is the nuclear process in which the parent nucleus undergoes the emission of electrons to produce a daughter nucleus.

Alpha decay decreases the atomic mass number decreases by 4 and the atomic number decreases by 2. In beta decay, the neutron is converted into a proton and the atomic number decreases by one. The neutron number is affected by alpha decay.

From the given,

X atom undergoes alpha decay. X -----> ₐ₋₂Xᵇ⁻⁴ + He₂⁴. The neutron number decreases by two.  ₐ₋₂Xᵇ⁻⁴ ----->    ₐ₋₂₋₂Xᵇ⁻⁴⁻⁴ + He₂⁴. The neutron number decreases by two.

When the X atom undergoes beta decay, ₐ₋₄Xᵇ⁻⁸---> ₐ₋₅Xᵇ⁻⁸ + ₋₁e⁰. The neutron number does not get affected. When the atom again undergoes alpha decay,  ₐ₋₅Xᵇ⁻⁸ ----->  ₐ₋₇Xᵇ⁻¹². Thus, the neutron number decreases by 6 when the atom undergoes three alpha decay.

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Answer:

e. the number of active motor units increases.

Explanation:

There is a direct relationship between the number of active motor units and the grip strength in a given scenario. For example, increase in the grip strength leads to increase in the number of active motor units. In the other-hand, the decrease in grip strength leads to the decrease in the number of active motor units.

Answer:

applied force

Explanation:

I think that's right

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Answer:

alcohol

Explanation:

Alcohol is miscible in water.

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Answer: Rectangular frames are easy to make but can get pulled out of shape. so if the sides are still attached , then the figure formed is parallelogram. useing the given measurement use the formula of a parallelogram.

formula : A = BASE X HEIGHT

Explanation:

Answer:

The greater the period the faster the wave moves (Figure 10.5).

Explanation:

The equation to calculate the approximate volume of Mercury (or any sphere) is:

V = (4/3)πr^3

Where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.

Therefore, to calculate the approximate volume of Mercury, we can use the equation:

V = (4/3)π(1516)^3

Answer

the wavelength is 90

Explanation:

Pitch 0.396, solid height 12 turns, number of active turns 1.755 Spring rate is 1.08N/3, force is 81.9N and the stress in the spring is 3.85Kspi

The term "force" has a specific meaning in science. At this point, describing a force as a push or a pull is perfectly appropriate. A strength is not something an item "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects with in concept of a force.

Force: Force is just a physical factor that alters or has the potential to alter an object's state of motion or motion and its form. Newton is the SI unit of force.

(a) Pitch, solid height, number of active turns

\(N_{t}\)= 12.5 coils

pitch = 4.75/12

=0.396

The ends are squared  along 1/4 turns on each end

\(N_{a}\)= 12.5-0.5

=12 turns

Solid height: solid stack is 13 wire diameter

\(L_{s}\)= 13(0.135) = 1.755

(b) Spring rate

\(K=\frac{d^{2}c }{8D^{3}N_{a} }\)

\(= \frac{3.4^{4}*78.6*10^{3} }{8*46.6^{3}*12 }\)

\(= 1.08 N/3\\\) or 6.08 uof/in

(c) Force

\(F_{v}=K(L_{0}- L_{1} =1.08 (12.-44.2)\\ =81.9N or 18.2 Lbf\)

(d) c= D/d = 1.865/0.135 = 13.81

\(K_{b}=\frac{4(13.81)+2}{4(13.81)-3} = 1.096\)

\(T_{s}-K_{B} = \frac{8F_{D} }{nd^{3} } = 1.096 * \frac{8(18.2)(1.865)}{(0.135^{3} )}=3.85 Kpsi\)

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Answer:

uhh more mass = more pull by gravity = ship go sinky more

Explanation:

Answer:   the acceleration of the masses is given by = 0, which means the angular acceleration of the pulley is zero. This implies that the masses m and 2m move with constant velocity,  they are in equilibrium.

Answer:

C. the help our understanding of the formation of planetary bodies.

Explanation:

this is the answer of PLATO

Answer:

Point of operation.

Explanation:

A tool can be defined as a mechanical or electronic apparatus that is typically used for performance of specific tasks.

This ultimately implies that, a tool is generally used by workers to perform their day-to-day tasks, duties or job functions.

All work related activities in the workshop have a point of operation i.e the particular point where a task is to be performed such as cutting a wood.

Hence, the point of operation is where the worker applies a tool to materials.

The reading on a vernier caliper can be represented as 45.75mm.

1. Understand the components of a vernier caliper: A vernier caliper consists of two main scales - the main scale and the vernier scale. The main scale is typically graduated in millimeters, while the vernier scale is a smaller scale that slides along the main scale.

2. Locate the main scale: Identify the main scale on the vernier caliper. The main scale is usually marked on the fixed jaw of the caliper and extends in a linear fashion.

3. Identify the vernier scale: The vernier scale is attached to the movable jaw of the caliper. It slides along the main scale and consists of smaller divisions.

4. Align the zero marks: Close the jaws of the caliper and ensure that the zero marks on both the main and vernier scales are aligned.

5. Determine the main scale reading: Read the main scale value that aligns with the zero mark on the vernier scale. In this case, the main scale reading will be 45mm.

6. Locate the vernier scale reading: Examine the vernier scale and identify the division on the vernier scale that lines up perfectly with a division on the main scale. This will give you the additional measurement beyond the main scale reading.

7. Determine the vernier scale reading: Find the division on the vernier scale that aligns with a division on the main scale. The value of this vernier division corresponds to the additional measurement. In this case, the vernier scale reading will be 0.75mm.

8. Add the main scale and vernier scale readings: Combine the main scale reading and the vernier scale reading to get the final measurement. In this case, the final reading will be 45.75mm.

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Answer:

Angle Of Incidence Formula The angle of incidence is equal to the reflected angle through the law of reflection. The angle of incidence and the angle of reflection is always equal, and they are both on the same plane along with the normal. 2,44,451

Explanation:

that could help you with work.

Answer:

to the angle of reflection

Explanation:

Answer:

1. could result in widespread contamination of air and water.

2. creation of radioactive wastes such as uranium mill tailings, spent (used) reactor fuel, and other radioactive wastes.

3. nuclear meltdowns

4. mining lung cancer risk

a}The work is done by the piston in the process is 199 cal.

b) The increase in internal energy of the gas is  703 cal

c) The heat was supplied to the gas is  3771 J

(a) To calculate the work done by the piston, we can use the formula:

Work = P * ΔV

Where P is the constant pressure and ΔV is the change in volume. Since the pressure is constant, the work done is given by:

Work = P * (\(V_2 - V_1\))

Since the amount of gas is constant (1 mole), we can use the ideal gas law to calculate the initial and final volumes:

PV = nRT

\(V_1 = (nRT_1) / P_1\)

\(V_2 = (nRT_2) / P_2\)

Here, n is the number of moles (1 mole), R is the gas constant (1.99 cal/mol·°C), T1 is the initial temperature (27 °C + 273 = 300 K), T2 is the final temperature (127 °C + 273 = 400 K), and P1 and P2 are the initial and final pressures, respectively (both 1 atm).

Substituting the values into the equation, we have:

V1 = (1 mol * 1.99 cal/mol·°C * 300 K) / (1 atm) ≈ 597 cal

V2 = (1 mol * 1.99 cal/mol·°C * 400 K) / (1 atm) ≈ 796 cal

Therefore, the work done by the piston is:

Work = 1 atm * (796 cal - 597 cal) = 199 cal

(b) The increase in internal energy of the gas can be calculated using the equation:

ΔU = n * C * ΔT

Where ΔU is the change in internal energy, n is the number of moles (1 mole), C is the molar heat capacity (7.03 cal/mol·°C), and ΔT is the change in temperature (127 °C - 27 °C = 100 °C).

Substituting the values into the equation, we have:

ΔU = 1 mol * 7.03 cal/mol·°C * 100 °C = 703 cal

(c) The heat supplied to the gas can be calculated using the equation:

Q = ΔU + Work

Substituting the values calculated in parts (a) and (b), we have:

Q = 703 cal + 199 cal = 902 cal

Since 1 cal = 4.184 J, the heat supplied to the gas is:

Q = 902 cal * 4.184 J/cal ≈ 3771 J

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Answer:

D

Explanation:

because if the solvent is more than the solvent then we can't resolve it.

so our product will be suspended

The temperature of the gas (in °C) at this pressure is 248.5 °C

Temperature is a bodily quantity that expresses the hotness of count or radiation. There are 3 kinds of temperature scales. Temperature is the degree of hotness or coldness of an item.

Temperature is a degree of the common kinetic energy of the debris in an object. whilst the temperature increases, the motion of those particles also increases. Temperature is measured with a thermometer or calorimeter.

Given;

P₁ = 1.2 x10⁵ Pa = 1.18430792

T₁ = 25.0°C = 298 K

P₂ = 2.1x10 Pa = 0.000207253886

T₂ = ?

using ideal gas equaion:-

PV = nRT

P₁/T₁ = P₂/T₂

T₂ = P₂T₁  /P₁

   = 2.1x10⁵ x  298 / 1.2 x10⁵

   = 521.5 K

   = 248.5 °C

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Situation (a) results in a zero net magnetic field at point P. Option 1 is correct.

In situation (a), the two wires are carrying currents in opposite directions. At point P, the magnetic field due to one wire will be in the opposite direction of the magnetic field due to the other wire. Since the two fields are equal in magnitude and opposite in direction, they cancel each other out, resulting in a net magnetic field of zero at point P.

In situations (b), (c), and (d), the currents are either in the same direction or the wires are at different distances from point P. In these situations, the magnetic fields due to the wires do not cancel each other out at point P, resulting in a nonzero net magnetic field. Therefore, only situation (a) gives rise to a zero net magnetic field at point P. Option 1 is correct.

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If F₁ has a greater magnitude than F₂, the box will accelerate backward because the net force is in the backward direction (1st option)

To obtain the direction in which the box will move, we shall determine the net force acting on the box. This is illustrated below:

Assumption:

Net force = Magnitude of force 1 (F₁) - Magnitude of force 2 (F₂)

Net force = F₁ - F₂

Net force = 40 - 25

Net force = 15 N backward

From the above illustration, we can see that the net force is 15 N backward.

Thus, we can conclude from the box will accelerate backward (1st option)

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Explanation:

\(V = f \lambda \\ 15.0 = 9.3 \lambda \\ \lambda = \frac{15}{9.3} \\ \lambda = 1.61 \: m\)

Answer:

Second Option

Explanation:

The "hard drive" or the second option is one of the main components of storing information on a computer. You already have a hard drive built into your computer, or laptop when you buy it, and you can buy additional hard drives in the form of plugins that can store even more data if your original hard drive becomes full of data.

Hope this helps.

Answer:

B

Explanation:

Whereas memory refers to the location of short-term data, storage is the component of your computer that allows you to store and access data on a long-term basis. Usually, storage comes in the form of a solid-state drive or a hard drive.

Answer:

m = 0.01 kg

Explanation:

Given that,

Momentum of the marble, p = 0.15 kg-m/s

Speed of the marble, v = 15 m/s

We need to find its mass. We know that,

Momentum, p = mv

Where

m is the mass

\(m=\dfrac{p}{v}\\\\m=\dfrac{0.15}{15}\\\\m=0.01\ kg\)

So, the mass of the marble is equal to 0.01 kg.