Delaney loves her new kiddie pool, but she is afraid to get wet. She crawls around the outside of the pool for hours. Jocelyn says Delaney is making rotations around the pool and Jonathan says Delaney is making revolutions around the pool. Who is correct? Suppose your answer with evidence.

Hence, R = 28.97 m, 24.5 degrees is the vector sum of T and U.

A vector's direction is frequently stated as a rotation of the vector's "tail" anticlockwise with respect to due East. In accordance with this practise, a vector having a direction of 30 degrees is a vector that has been anticlockwise rotated 30 degrees with respect to due east.

Let's begin by separating the components of the vector T:

T~ = 40 m, 30 degrees

T_x = 40 cos(30) = 34.64 m

T_y = 40 sin(30) = 20 m

Let's now decompose the vector U into its constituent parts:

U~ = 12 m, 225 degrees

U_x = 12 cos(225) = -8.49 m

U_y = 12 sin(225) = -8.49 m

It is possible to combine elements of the same type (x and y):

R_x = T_x + U_x = 34.64 m - 8.49 m = 26.15 m

R_y = T_y + U_y = 20 m - 8.49 m = 11.51 m

The Pythagorean theorem can be used to determine the size of the resulting vector R:

|R~| = sqrt(R_x² + R_y²) = sqrt((26.15 m)² + (11.51 m)²) = 28.97 m

The inverse tangent function can be used to determine the direction of the resulting vector R:

theta = tan⁻¹(R_y/R_x) = tan⁻¹(11.51 m/26.15 m) = 24.5 degree.

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Birds underwent significant diversification and adaptation during the Mesozoic epoch, allowing them to develop into effective and adaptable flyers.

The wings of S. crossirostris, also referred to as the "delicate-winged pterosaur," were constructed of a delicate flap of skin called the patagium. This delicate membrane was prone to breaking, unlike the stiff feathers of birds.

In terms of flight prowess and ecological success, S. crossirostris would not have been able to compete with birds due to the restrictions imposed by its delicate wing structure.

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Answer:

The answer is Model the charge distribution as the sum of infinitesimal point charges, dq, and add together the electric potentials, dV, from all charges, dq. ...

Calculate the electric field (either as a integral or from Gauss' Law), and use: ΔV=V(→rB)−V(→rA)=−∫BA→E⋅d→r.

Explanation:

When materials vibrate, waves are created that travel through the substance, and this energy is what we hear as sound. Earthquakes are earth vibrations that cause the (potential) energy held within rocks to be released (as a result of their pressure-generating relative positions). Seismic waves are produced by earthquakes.

How do sound waves and earthquakes compare?

The waves lose energy as they move through the air with sound or through the ground with shaking during an earthquake. Therefore, a band can be heard louder close to the stage than farther away, and an earthquake can be felt more strongly close to the fault than farther away.

In actuality, sound in the air cannot match how quickly earthquake waves move. In rock, the compressional or "P" wave of an earthquake moves at the In actuality, sound in the air cannot match how quickly earthquake waves move. The speed of a P wave is typically 10,000 mph. The speed of sound through air is roughly 750 mph.

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Answer:

Mass = 56.83 Kg

Explanation:

\(PE = mgh\\9094 J = 16m*10 m/s^2*mass\\mass = \frac{PE}{g*h} \\mass = \frac{9094 J}{16*10} = 56.83 kg\)

Answer:

3

Explanation:

The closer an orbit is to the nucleus the fewer energy

Field poles are electromagnets whose polarities change as the flow of current alternates in the field windings.

An electromagnet is a sort of magnet wherein the magnetic area is produced with the aid of an electric current. Electromagnets generally encompass cord wounds into a coil. A cutting edge through the wire creates a magnetic discipline that is focused inside the hole in the middle of the coil.

Electromagnets create a magnetic discipline through the application of power. When you introduce the modern, either from a battery or any other supply of strength, it flows through the wire. This creates a magnetic discipline around the coiled cord, magnetizing the metal as though it were a permanent magnet.

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Answer:

 v = 220 m / s

Explanation:

This is a kinematics exercise, the expression for velocity is

          v = 25 t² - 80 t - 200

asks the velocity for time t = 6 s.

let's calculate

        v = 25 6² - 80 6 - 200

        v = 220 m / s

The velocity for the first six seconds when acceleration is zero is -44 m/s.

The velocity of an object is the rate of change displacement with time.

The velocity of the object for the first six seconds when the acceleration is zero is calculated as follows;

\(a = \frac{dv}{dt} \\\\a = 50t - 80\\\\0 = 50t - 80\\\\50t = 80\\\\t = 1.6 \ s\)

Velocity when time = 1.6 s

\(v(1.6) = 25(1.6)^2 - 80(1.6) - 200\\\\v(1.6) = -264 \ m/s\)

The velocity for the first six seconds when acceleration is zero.

\(v = v_{a =0} + v_6\\\\v = - 264 \ + 25(6)^2 - 80(6) - 200\\\\v = -44 \ m/s\)

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Hi there!

We can begin by identifying key characteristics of both graphs.

Graph A.

Looking at the graph, we can see that the maximum distance (amplitude) is 10 cm (0.1 m). Additionally, its period (T) is 2 seconds (one full cycle).

We also know that:
\(T = 2\pi \sqrt{\frac{m}{k}}\)

We can use this equation to compare with the other graph. Notice how the period does NOT depend on how far the spring is stretched. We can eliminate choice A for this reason.

Graph B.

The amplitude is 20 cm (0.2 m), and each period is 4 seconds.

We can now eliminate choice B because the springs are identical, so their spring constants are equal. Distance stretched has no impact on the spring constant.

For the other choices, we must look at forces and work.

Recall that:
Spring potential energy = \(\frac{1}{2}kx^2\)

Kinetic energy = \(\frac{1}{2}mv^2\)

Using the work-energy theorem:

\(\frac{1}{2}kx^2 = \frac{1}{2}mv^2\)

Even if the mass of Block B is greater, its displacement is larger than that of Block A. Since displacement is squared in this equation, it would have a greater effect on the speed. Thus, Choice C is incorrect.

Using Hooke's Law:
\(\Sigma F = -kx\\\\ma = -kx\\\)

\(a = \frac{-kx}{m}\)

If the mass is greater, the acceleration will be smaller. Choice D is correct.

Answer:

Yes

Explanation:

Work done = F * S

F = mg

50 * 9.81 = 490.5

490.5 * 5 = 2452.5 ≈ 2450

(Scientist: Nikola Tesla)

Answer:

What did this scientist discover?

Nikola Tesla discovered and created Bluetooth back in 19, November 5, 1898.

"The Transmission of Electrical Energy Without Wires", Electrical World and Engineer, January 7, 1905. Tesla, Nikola, World System of Wireless Transmission of Energy, Telegraph and Telegraph Age, October 16, 1927.

How was it discovered?

In 1901 Tesla began his work of a large high-voltage wireless energy transmission station called the Wardenclyffe Tower. ... Some devices already employ wireless energy transfer without the use of metal contacts. The power is transferred through the plastic cases using magnetic induction.

How does this discovery or invention impact the world today?

It changed the new age by listening to music with wireless earbuds.

Answer:

\(c=0.45\ J/g^{\circ} C\)

Explanation:

Given that,

A 25 g sample of iron (initially at 800.00°C) is dropped into 200 g of water (initially at  30.00°C). The final temperature of the system is 40.22°C.

We need to find the specific heat of iron.

It can be calculated as:

Cooler water gains = hot metal loses

mc∆T = - mc∆T

Put all the values,

\(200g(4.184\ J/g^{\circ} C)(T_f-T_i) = -25g(c)(T_f-T_i) \\\\200g(4.184 )( 40.22-30.00) = -25\times (c)\times (40.22-800.00)\\\\8552.096 = 18994.5c\\\\c=\dfrac{8552.096 }{18994.5}\\\\c=0.45\ J/g^{\circ} C\)

So, the specific heat of iron is \(0.45\ J/g^{\circ} C\)

Answer:

the potential for causing changes

Explanation:

Answer:

F = 0

Explanation:

The net force acting on an object is given by the product of mass and acceleration. We know that acceleration is equal to the rate of change of velocity.

Net force,

F = ma

\(F=\dfrac{m(v-u)}{t}\)

The skier is traveling at a constant velocity, it means there is no change in velocity i.e. acceleration is equal to 0. Hence, the force on her is 0.

Answer:

221 lines per millimetre

Explanation:

We know that for a diffraction grating, dsinθ =mλ where d = spacing between grating, θ = angle to maximum, m = order of maximum and λ = wavelength of light.

Since the grating is 42.0 cm from the screen and its first order maximum (m = 1) is at 6.09 cm from the center of the pattern,

tanθ = 6.09 cm/42.0 cm = 0.145

From trig ratios, cot²θ + 1 = cosec²θ

cosecθ = √((1/tanθ)² + 1) = √((1/0.145)² + 1) = √48.562 = 6.969

sinθ = 1/cosecθ = 1/6.969 = 0.1435

Also, sinθ = mλ/d at the first-order maximum, m = 1. So

sinθ = (1)λ/d = λ/d

Equating both expressions we have  

0.1435 = λ/d

d = λ/0.1435

Now, λ = 650 nm = 650 × 10⁻⁹ m

d = 650 × 10⁻⁹ m/0.1435

d = 4529.62 × 10⁻⁹ m per line

d = 4.52962 × 10⁻⁶ m per line

d = 0.00452962 × 10⁻³ m per line

d = 0.00452962 mm per line

Since d = width of grating/number of lines of grating

Then number of lines per millimetre = 1/grating spacing

= 1/0.00452962

= 220.77 lines per millimetre

≅ 221 lines per millimetre since we can only have a whole number of lines.

Answer:

Energy in carriage (Potential energy) = 4,116 J

Explanation:

Given:

Mass of baby = 20 kg

Height = 21 m

Find:

Energy in carriage (Potential energy)

Computation:

The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.

In carriage accumulated energy is potential energy.

Energy in carriage (Potential energy) = mgh

Energy in carriage (Potential energy) = (20)(9.8)(21)

Energy in carriage (Potential energy) = 4,116 J

Answer: The tension in the cord at the right is 81.7N.

Explanation:

In order to solve this we consider a system with a clockwise motion considered as positive which means that for a downward position for block  C is positive and for block B rightward is positive and for Block A upward is positive)

Formula = mC g- mA g = M a (where M = mass of system = 24.0kg)

a(acceleration) = g(mC-mA)/M = 1.63m/s^2

Force on Block C = mCg -T = mCa

T = mCg(2mA+mB)/M

T = 81.7N

Hence Tension = 81.7N

The motion of the box changes as it will move slower because as the mass increases, the force of friction between the surface also increases. Thus, the correct option is A.

Force of friction is a type of contact force. Frictional force is the force which resists the motion when the surface of one object comes in contact with the surface of another object. Example of frictional force is the force of friction between two stones which are rubbed with each other. The SI unit of frictional force is Newton (N).

Frictional force can be calculated by the formula:

f = μN

where, f = frictional force,

μ = coefficient of friction,

N = Normal force

The mass of the objects (normal force - mg) which are in motion is directly proportional to the magnitude of the frictional force. As more books are added to the box while the force of push remains same the motion of the box will change and it will move slower because as mass increases, the force of friction between the surface also increases.

Therefore, the correct option is A.

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The volume of the solid immersed in the liquid is  5 x 10⁻⁵ m³.

The volume of the solid is calculated as follows;

V = (Ws - Wa) / (ρg)

where;

Ws = 0.2 kg x 9.8 m/s²

Ws = 1.96 N

Wa = 0.16 kg x 9.8 m/s²

Wa = 1.568 N

ρ = 0.8 x 1000 g/km³ = 800 kg/m³

The volume is calculated as;

V = (1.96 - 1.568 )/(800 x 9.8)

V = 5 x 10⁻⁵ m³

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Mass 1 strikes Mass 2 while moving in the positive-x direction, which is initially at rest. After the collision M2 moves off in the same direction but at a greater speed. According to conservation of momentum, The following is true : mass 2 is smaller

According to conservation of momentum, the product of mass and velocity is constant.

Since the velocity of the second mass is greater than that of the first mass

This is possible if the mass 2 is smaller than mass 1

M1V1i + M2V2i = M1V1f + M2V2f

M1V1i = M2V2

But V2f > V1i

So M1 > M2 to balance the equation.

The conservation of momentum principle asserts that the quantity of momentum inside a problem domain remains constant; momentum is not generated nor destroyed, but only modified by the action of forces as defined by Newton's equations of motion.

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Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

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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:

\(\boxed {\boxed {\sf 10 \ m/s \ left}}\)

Explanation:

Velocity is the speed of something in a given direction. It is a vector quantity, so it has both magnitude and direction. Velocity is calculated by dividing the displacement by the time.

\(v= \frac{d}{t}\)

The car drives 50 meters to the left in 5 seconds.

Substitute the values into the formula.

\(v= \frac{50 \ m \ left}{5 \ s}\)

Divide.

\(v= 10 \ m/s \ left\)

The average velocity of the car is 10 meters per second to the left.

Answer:

Explanation:

Answer:

The distance covered by the person is 8.5 metre and the displacement is 6.8 metre.

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Explanation:

Equation for resistity

\(p(t)= p(0) \times (1 + a \times (change \: in \: temp))\)

\( = 0.02 \times {10}^{ - 6} \times (1 + 0.004 \times 60)\)

\( = 2.48 \times {10}^{ - 8} ohm \: m\)

\(r = (p \times l) \div a\)

\( = (2.48 \times {10}^{ - 8} \times 1200) \div \: 5 \times {10}^{ - 6} \)

\( = 5.952 \: ohms\)