A child with a mass of 30 kg slides down a slide at an angle of 40º from the horizontal. She accelerates at 1.3 m/s2. Calculate the magnitude of the frictional force on the child.

The resultant of the displacement is 336.5m

The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.

For the first displacement;

The vertical component = - 150 sin45 = -106.1 m

The horizontal component = - 150 cos 45° = -106.1 m

For the second displacement;

The vertical displacement = - 85sin90 = -85

The horizontal component = 0

For the third displacement;

The vertical displacement = 550 sin55 = 450.5

The horizontal displacement = 550 cos 55 = 315.5

Sum of vertical component = 450.5-85-106.1 = 263.4

sum of horizontal component = 315.5 -106.1 = 209.4

Using Pythagorean theorem

R = √ 263.4² + 209.4²

R = √113227.92

R = 336.5m

The resultant angle = tan^-1( 263.4/209.4)

= tan^-1(1.26)

= 51.56°

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Answer:

9,600 thank u

Explanation:

because blah blah blah

PE is the potential energy stored in the spring, k is the spring constant, and x is the  PE is the potential energy stored in the spring, k is the spring constant, and x is the displacement from equilibrium.

Displacement is a vector quantity that describes the overall change in position of an object from its initial position to its final position. It is a vector because it has both magnitude (the distance between the initial and final positions) and direction (the direction from the initial position to the final position).

For example, if an object moves from point A to point B, its displacement is the vector that points from A to B, regardless of the path taken to get there. Displacement can be positive, negative, or zero, depending on the direction of the vector.

Displacement is often used in kinematics, which is the study of motion without considering the forces that cause the motion. It is a key concept in describing the motion of objects in one, two, or three dimensions.

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The time taken by the cars to meet is 5.4 x 10³ s.

Speed of car A, v₁ = 45 km/h = 12.5 m/s

Speed of car B, v₂ = 55 km/h = 15.27 m/s

Distance between the cars, d = 150 km = 15 x 10⁴m

The expression for the time taken by the cars to meet can be given as,

Time = Distance/Average speed

t = d/(v₁ + v₂)

Applying the values of d, v₁ and v₂.

t = 15 x 10⁴/(12.5 + 15.27)

t = 15 x 10⁴/27.77

t = 5.4 x 10³ s

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The magnetic field in the cyclotron, is 0.292 T.

Angular velocity, ω = 2.8 x 10⁷rev/s

Charge of a proton, q = 1.6 x 10⁻¹⁹C

Mass of a proton, m = 1.67 x 10⁻²⁷kg

A cyclotron is a device that strongly accelerates the charge on charged particles or ions. The cyclotron amplifies the energy of the charged particles through the application of both magnetic and electric fields.

The expression for the angular velocity of the cyclotron is given by,

ω = qB/m

Therefore, the magnetic field in the cyclotron,

B = ωm/q

B = 2.8 x 10⁷x 1.67 x 10⁻²⁷/1.6 x 10⁻¹⁹

B = 0.292 T

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The angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

The angle that the net force makes with respect to the +x axis, is determined as follows;

F = qvBsinθ

Fy =  qv(By)sinθ

Fx =  qv(Bx)sinθ

The angle that the net force makes with respect to the +x axis;

tanθ = Fy/Fx

tanθ = qv(By)sinθ / qv(Bx)sinθ

tanθ = By/Bx

tanθ = 0.065/0.045

tanθ = 1.444

θ = tan⁻¹(1.444)

θ = 55.3⁰

Thus, the angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

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Answer:

To calculate the work done by a force, we can use the formula:

Work = ∫F dx

In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.

Work = ∫(2x + 7) dx

Integrating the function (2x + 7) with respect to x, we get:

Work = (x^2 + 7x) evaluated from X1 to X2

Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:

Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)

= (25 + 35) - (1 + 7)

= 60 - 8

= 52

Therefore, the work done by the force is 52 Joules (J).

Explanation:

The correct statement is " A dry cell battery has magnetic properties.", The correct option is C.

A dry cell battery does generate its own magnetic field due to the flow of electric current through the battery.

The magnetic field is created by the movement of charged particles (electrons) within the battery. This magnetic field is relatively weak and is not typically strong enough to be used for practical applications outside of the battery itself.

So, the magnetic properties of the dry cell battery are important for understanding its behavior within an electrical circuit.

Therefore, The correct answer is option C.

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The approximate number of taste buds that humans have is 10,000 (option C).

Tastebuds are any of the small organs on the tongue used for tasting.

Taste buds are cells on the tongue that allow one to perceive tastes, including sweet, salty, sour, bitter and umami.

Taste buds regenerate approximately every 10 days, which means injured taste buds usually repair on their own. The average adult human has between 2000 and 8000 tastebuds.

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For the following are four electrical components:

a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.

For the following are four electrical components:

a. Sketches of current-voltage characteristics:

For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

  Current (I)

     ^

     |          B

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

     Current (I)

     ^

     |          A

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.

For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.

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Answer:

A. Gamma rays have higher energy than microwaves because gamma rays have shorter wavelengths.

Explanation:

Electromagnetic waves are waves produced by the interaction between both magnetic and electric fields. These waves have some properties that make them to be arranged in a definite form producing an electromagnetic spectrum.

The spectrum has a general property of which as the wavelength of the waves increases, the frequency decreases. And vice versa.

Thus, the energy of the waves increases as the frequency increases.

Gamma rays have higher frequency, but shorter wavelength. While microwaves has lower frequency, but higher wavelength.

Answer:

Yes, the answer is A

Explanation:

Answer:analize a afirmacao a seguir e tudo que envolve o gerenciamento da marca e que ultrapassa as acoes com objetivos economicos e refere se a cultura principios e valores

Explanation:

The mass of the heavy block moved at a constant speed is determined as 30.61 kg.

The mass of the rock is determined from the weight of the block. The weight of the block is the product of mass and acceleration due to gravity.

W  = mg

m = W/g

where;

m = (300)/(9.8)

m = 30.61 kg

Thus, the mass of the heavy block moved at a constant speed is determined as 30.61 kg.

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Answer:

D

Explanation:

Sum of the concentrations of each of reactant species is equal to the sum of the concentrations of each of the product species

Answer:

(472i + 80.3j) m

Explanation:

Given the following :

Distance of tee shot = 300m

Distance of second shot = 189.0 m

Displacement r1 of tee shot :

r1 = 300 mi

Displacement r2 of second shot :

r2 = 172.0 mi + 80.3 mj

The final displacement of the golf ball from the tee:

r_final = r1 + r2

r_final = (300i)m + (172.0i + 80.3j) m

r_final = (300 + 172)i m + 80.3j m

r_final = (472i + 80.3j) m

Answer: The ratio of thicknesses of glycerine (refractive index 1.473) to crystalline quartz (refractive index 1.544) is 0.954.

Explanation:

Given: Refractive index of glycerine = 1.473

Refractive index of crystalline quartz = 1.544

Formula used is as follows.

\(2nt = m \lambda\)

For crystalline quartz: \(2n_{q}t_{q} = m \lambda_{q}\)

For glycerine: \(2n_{g}t_{g} = n \lambda_{g}\)

Here, m = n and \(\lambda_{q} = \lambda_{g}\)

So, the ratio of both these values can be written as follows.

\(\frac{2n_{q}t_{q}}{2n_{g}t_{g}} = \frac{m \lambda_{q}}{n \lambda_{g}} = 1\)

So, \(n_{q}t_{q} = n_{g}t_{g}\)

\(\frac{t_{q}}{t_{g}} = \frac{n_{g}}{n_{q}} = \frac{1.473}{1.544}\)

\(\frac{t_{q}}{t_{g}} = 0.954\)

Thus, we can conclude that the ratio of thicknesses of glycerine (refractive index 1.473) to crystalline quartz (refractive index 1.544) is 0.954.

The de Broglie wavelength of a 0.56 kg ball moving with a constant velocity of 26 m/s is 4.55×10⁻³⁵ m.

The wavelength that is incorporated with the moving object and it has the relation with the momentum of that object and mass of that object. It is inversely proportional to the momentum of that moving object.

λ=h/p

Where, λ is the de Broglie wavelength, h is the Plank constant, p is the momentum of the moving object.

Whereas, p=mv, m is the mass of the object and v is the velocity of the moving object.

Therefore, λ=h/(mv)

λ=(6.63×10⁻³⁴)/(0.56×26)

λ=4.55×10⁻³⁵ m.

The de Broglie wavelength associated with the object weight 0.56 kg moving with the velocity of 26 m/s is λ=4.55×10⁻³⁵ m.

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Subliminal (subconscious) vision is a deliberate process created by communication engineers, whereby you will receive and respond to information and instructions without realizing it. The messages that are in the printed words, pictures or even the sounds that are presented or introduced are either very fast or very subtle passing through your awareness and alertness.

Actually, information, or stimuli that can be consciously felt by humans can be evaluated, criticized, discussed, refuted and possibly rejected by viewers. Something that is subliminally programmed in the subconscious (unconscious) will not encounter such an obstacle. TV viewers may protest, or an image in cyberspace will be rejected. This subliminal information is predictably stored in your brain and is capable of influencing human judgment, and behavior.

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The process of refraction of light​ occurs when light rays bends when travelling between media of different densities.

What is refraction of light?

Refraction of light is the bending of light rays or the change in the direction of light rays as it travels between media of different densities.

Light waves travel faster in media of less density than media of more density.

The change in density of the media makes light waves to be bend towards or away from the normal.

For example, when light travels from less dense air to more dense water, the light rays are bent towards the normal. However, when light rays travel from water to air, the light rays are refracted away from the normal.

In conclusion, refraction of light waves occur when light crosses the boundary of media of different densities.

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Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.

Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. In Potential Energy and Conservation of Energy.

This works very well if g does not change significantly between. We return to the definition of work and potential energy to derive an expression that is correct over larger distances.

Work is the integral of the dot product between force and distance. Essentially, it is the product of the component of a force along a displacement times that displacement.

Therefore,  Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.

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Answer:

See connections below

Explanation:

1   \(\Rightarrow\) b

2   \(\Rightarrow\) a

3   \(\Rightarrow\) d

4   \(\Rightarrow\) i

5   \(\Rightarrow\) g

6   \(\Rightarrow\)  h

7   \(\Rightarrow\)  c

8   \(\Rightarrow\)  e

9   \(\Rightarrow\) f

Answer:

Explanation:

A, yes

b,

The force(per unit length) on wire 1 by 2 is to the left and

= μo*I1*I2/2πr

= 2*10^-7 * 1.2 * 4.2/0.20

= 5.04*10^-6N/m

From third law we have the force on wire2 by wire 1 is 5.04*10^-6N/m and to the right

So the magnitude of the force on each wire by wire 3 must be 4.2*10^-6N/m

Since the current in wire 2 is > wire 1 then wire 3 must be closer to wire 1 than 2

and wire 3 must be to the left of wire 1

Let x be the distance from wire 3 to wire 1 so x + 0.20 = distance from wire 3 to wire 2

Now μo*I1*I3/2πx = μo*I3*I2/2π(x + 0.20)

so solving for x we get

I1/x = I2/(x+0.20)

or x +0.20 = 4x

so x = 0.20/3 = 0.0667m

Now μo*I1*I3/2πx = 4.2*10^-6

so I3 = 4.2x10^-6 * 0.0667/(2.0x10^-7 * 1.2) = 1.167 A and its direction is down

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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Answer:total displacement is 550m.

Explanation:

The incorrect statements regarding how higher temperatures result in higher

reaction rates are:

1) Reacting molecules have higher kinetic energies but lower collision frequencies.

2) The activation energy barrier for the reaction is lowered.

3) Endothermic reactions become exothermic reactions at higher temperatures.

Higher temperatures result in an increase in both kinetic energy and collision frequency of molecules.

The activation energy barrier for the reaction does not change with temperature,

But a greater fraction of colliding molecules has the minimum energy required to overcome the activation energy barrier at higher temperatures.

Endothermic reactions do not become exothermic reactions at higher temperatures. These reactions may occur at a faster rate, but the overall energy change of the reaction does not change.

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Answer:

(B) Its acceleration is constant in size but not in direction

(Note vector quantities are not constant in direction here)

The number of generations that have passed since the beginning of recorded history is approximately equal to 150.

Half-life can be defined as an interval of time that is required for one-half of the atomic nuclei of a radioactive element to spontaneously decay into other species of elements, especially through the emission of particles and energy.

Based on scientific experiment and research conducted, we can infer and logically conclude that half of a radioactive nuclei can become nonradioactive after each half-life cycle because it's independent of the initial amount and unaffected by laboratory conditions.

First of all, we would determine the amount of time per generation by using the following mathematical expression:

Time per generation = 1/3 × time per lifetime

Time per generation = 1/3 × 2 × 10⁹ s

Time per generation = 2/3 × 10⁹ s

Mathematically, the number of generations can be calculated by using this formula:

Number of generations = Total time/Time per generation

Number of generations = (10¹¹ s)/(2/3 × 10⁹ s)

Number of generations = 300/2

Number of generations = 150.

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Answer:

Newton's second law is the answer

The ranking is based on the tilt of the Earth's axis and its orbit around the Sun. The figure at 40°N in June receives the most daylight because it is located at a high latitude during the summer solstice in the Northern Hemisphere. The Earth's axis tilts towards the Sun, resulting in longer days and shorter nights. The figure at 40°S in December receives a moderate amount of daylight as it is located at a lower latitude during the summer solstice in the Southern Hemisphere.

The figure at 40°N in December experiences less daylight because it is located at a high latitude during the winter solstice in the Northern Hemisphere, with shorter days and longer nights. Lastly, the figure at 40°S in June receives the least amount of daylight as it is located at a lower latitude during the winter solstice in the Southern Hemisphere, where the days are shortest and the nights are longest. Based on the information given, the ranking of figures based on the amount of daylight they experience in a 24-hour period, from most to least.

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