What height does a frictionless playground slide need so that a 35 kg child reaches the bottom at a speed of 4.7 m/s?

Discretionary income equals money left over after paying for housing, food, and other necessities.

Discretionary income refers to the income that individuals have available for spending or saving after deducting taxes and essential expenses such as housing, food, transportation, and utilities. It represents the portion of income that individuals have discretion over, meaning they can choose how to allocate or use it based on their preferences. Discretionary income provides individuals with financial flexibility to spend on non-essential goods and services, such as entertainment, vacations, hobbies, or investments. It is an important economic indicator as it reflects the potential for consumer spending and can influence overall economic growth.

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The index of refraction of this liquid will be 1.28. It is found as the ratio of the sin of the angle of incidence and the angle of reflection.

The refractive index of a substance is a dimensionless quantity that specifies how quickly light passes through it in optics.

The given data in the problem is;

Angle of incidence (i)= 65°

Angle of refraction(r) = 42°

The formula for the index of refraction is;

\(\rm n = \frac{sin \ i }{sin \ r} \\\\ \rm n = \frac{sin 65 ^0}{sin 42^0} \\\\ n=1.28\)

Hence, the index of refraction of this liquid will be 1.28.

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Magnetic effect that can be experienced in the space around a current-carrying conductor is called magnetic field.

Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion.

Mathematically, the formula for magnetic force is given as;

F = qVB

where;

The region of space around in which magnetic force is experience is known as magnetic field. A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

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The complete question is below:

magnetic force physics

Magnetic effect that can be experienced in the space around a current-carrying conductor is called?

Answer:

mass and distance

Explanation:

force is mass while motion can also be regard as distance or movement

The acceleration of the 34 kg child on a bike when being pushed with a force of 57 N would be approximately: 1.68 meters per second squared.

To calculate the acceleration of a 34 kg child on a bike when being pushed with a force of 57 N, you can use Newton's second law of motion. Newton's second law states that the force applied on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

In this case, the applied force (Fa) is 57 N, and the mass (m) of the child is 34 kg. To find the acceleration (a), you can rearrange the formula as follows:

a = Fa/m

Now, plug in the given values:

a = 57 N / 34 kg

a ≈ 1.68 m/s²

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They cannot be divided and still keep the properties of the element true about all of these atoms. Option D is corect.

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus proton and the neutron is exists. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

They cannot be separated while still maintaining the element's characteristics for each and every one of these atoms.

Hence, option D is corect.

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Answer:

The correct answer is d, they cannot be divided and still keep the properties of the element.

Explanation:

You're welcome :)

The fragments reaction is 7.59 MeV/nucleon and  8.39 MeV/nucleon

What is nucleus ?

Neutrons and protons, which have opposite electric charges, make up atomic nuclei. The strongest basic force now understood, known as the strong force, is what holds these things together. A normal atom's nucleus generally holds more than 99.9% of the atom's mass yet takes up considerably less than.01 percent of its volume.

What is fission ?

When a neutron collides with a bigger atom, it excites it and causes it to split into two smaller atoms, which are known as fission products. This process is known as fission. A chain reaction might start as a result of additional neutrons that are also emitted. Huge amounts of energy are produced during the splitting of each atom.

1) m_proton + m_netron + m_electron - m_U

= 92*1.007276466812 + 92*5.4857990943e-4 + 143*1.008664916 - (235.0439299)

= 1.9151 u

= 931.494061 * 1.9151 MeV

= 1784 MeV

= 1784/235 = 7.59 MeV/nucleon

2) m_proton + m_netron + m_electron - m_Cs

= 55*1.007276466812 + 55*5.4857990943e-4 + 82*1.008664916 - (136.9070895)

= 1.2338 u

= 931.494061 * 1.2338 MeV

= 1149 MeV

= 1145/137 = 8.39 MeV/nucleon

Therefore, the fragments reaction is 7.59 MeV/nucleon and  8.39 MeV/nucleon.

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Acceleration is the variable that is NOT shown on a velocity-time graph

Velocity - time graph, evidently shows two variables, velocity on one axis and time on other . But as we know , that acceleration can be calculated by the formula which is

acceleration = change in velocity / time

hence , the derivative of velocity is acceleration

which mean that the slope of the Velocity - time graph shows the acceleration , which cannot be seen , but is hidden as the slope of that graph

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Answer:

45 m

Explanation:

Use Big Five #5 with v0 = 0 (calling down the positive direction).

Answer:

It is 10KJoules

Explanation:

hope it helps

Answer: Given that:

Mass (m) = 20 g = 0.02 Kg,

temperature (T₁) = -10°C = -10+273 = 263 K

temperature (T₂) = 10°C = 10+273 = 283 K

Specific heat of water (Cp) = 4.187 KJ/Kg k

We know that Heat transfer (Q) = m. Cp.( T₂ - T₁)

                                                   = 0.02 × 4.187 × (283-263)

                                                Q = 1.67 KJ

Heat transferred is 1.67 KJ

Explanation:

The force on Object A = 1116.07 N

The separation between the two charges, d = 1.68 cm

d = 1.68/100 m

d = 0.0168 m

The charge on object A

The charge on object B

The electric constant

The force on on the charge A is calculated as shown below:

The force on Object A = 1116.07 N

5 tickets for $ 12.50

Explanation

to figure out this we need to find the unit rate

so

Step 1

the rate is given by:

then

a) for 5 tickets and $12.50

replace and calculate

b) for 8 tickets and $20.16

replace and calculate

therefore, the better deal is 5 tickets for $ 12.50, you will get more tickets per dollar

I hope this helps you

Answer: no I watch  both of them

Explanation:

If a cube of 1 mm side is divided into 1 nm-sized cubes, the total surface area will increase by a factor of 6 x 10⁶, hence C is correct option.

Each face of the original cube has an area of (1 mm)² = 10⁶ nm². When we divide the cube into smaller cubes of 1 nm on each side, we increase the number of faces by a factor of (1 nm / 1 mm)² = 10⁻⁶, since each small cube has six faces. Therefore, the total surface area of the small cubes is:

= 6 x (10⁶ nm²) x (10⁶ x 10⁻⁶)

= 6 x 10⁶ nm².

This is an increase in the total surface area by a factor of 6 x 10⁶.

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Answer:

what about it i need more info

Explanation:

Answer:

I = V / R

I1 = 6 / 500 = .012   amps for full scale deflection

I2 = 6 / 600 = .01   amps for full scale deflection

I = 8 / 1100 = .00727   amps thru load (actual current)

D1 = .00727 / .012 = .606 of full scale deflection

D2 = .00727 / .01 = .727    of full scale deflection

V1 = .606 * 6 = 3.64 V  (of 6 V)

V2 = .727 * 6 = 4.36 V   (of 6 V)

Check: V1 + V2 = 3.64 + 4.36 = 8 V

a) The A-parameters of the cascaded network are defined by (4 points)Answer:a_11 = 0.149 S^0.5 - 0.0565a_12 = -0.115 S^0.5 - 0.0352a_21 = 136 S^0.5 - 133a_22 = -89.5 S^0.5 + 135b) Find ZL such that maximum power is transferred from the cascaded network to ZL. (2 pointsZ). The maximum power transfer to load impedance ZL occurs when the load is equal to the complex conjugate of the source impedance.

We can calculate the source impedance as follows: Rs = 30 Ω || 1/0.167^2 = 31.2 ΩThe equivalent impedance of circuits 2 and 3 connected in cascade is: Zeq = Z2 + Z3 + Z2 Z3 Y2Z2 + Y3 (Z2 + Z3) + Y2 Y3If we substitute the corresponding values: Zeq = 6.875 - j10.75ΩNow we can determine the value of the load impedance: ZL = Rs* Zeq/(Rs + Zeq)ZL = 17.6 - j8.9Ωc) Evaluate the maximum power that the cascaded two-port network can deliver to ZI. (2 points). The maximum power that can be delivered to the load is half the power available in the source.

We can determine the available power as follows: P = (I_s)^2 * Rs /2P = 558 mW. Now we can calculate the maximum power transferred to the load using the value of ZL:$$P_{load} = \frac{V_{load}^2}{4 Re(Z_L)}$$$$V_{load} = a_{21} I_s Z_2 Z_3$$So,$$P_{load} = \frac{(a_{21} I_s Z_2 Z_3)^2}{4 Re(Z_L)}$$Substitute the corresponding values:$$P_{load} = 203.2 m W $$. Therefore, the maximum power that can be delivered to the load is 203.2 mW.

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The acceleration of an object in free fall motion is the constant acceleration due to gravity

(i) The gradient of the rocket at point B is approximately -9.81 m/s²

(ii) The reason why the gradient is -9.81 m/s² is as follows;

The given graph is the speed to time graph with the upward direction taken as positive

Given that at point B the object is at the maximum point, the upward motion due to the rocket stops, the motion of the rocket is then due to gravity

Therefore, the gradient at B, is given as follows;

\(Gradient = \dfrac{\Delta v}{\Delta t } = \dfrac{d(u + a \cdot t)}{dt} =a\)

At point B the only force acting on the rocket is the force of gravity, therefore, the acceleration of the rocket at B, a = g, acceleration due to gravity ≈  9.81 m/s², and the rocket is falling due to its weight

Therefore, only gravitational force is acting on the rocket when the direction of the rocket changes and rocket falls freely, at B, and the acceleration of the rocket at B = g = 9.81 m/s²

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Answer: 2.5 m

Explanation: 1/2(1s)(5m/s)

=2.5.

Got it from Khan Academy

Specific heat capacity of solid magnesium is 0.9556 J/g C.

What is specific heat capacity?

When a material's temperature rises by 1 K (or 1 °C), or when its mass increases by 1 kg, the specific heat capacity is defined as the amount of heat (J) absorbed per unit mass (kg). This measurement is expressed as J/(kg K) or J/(kg °C).

According to the given question:

C = Q/m.T

T = T2 - T1 = 38.9 - 24.5 = 14.4 C

C = 11.7/(161 x 14.4) = 0.9556 J/g C

Specific heat capacity of solid magnesium is 0.9556 J/g C.

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Answer:

5km/h

Explanation:

distance divided by total time

Answer:4m/s

Explanation:The car is moving with constant acceleration therefore average speed is equal to distance over time to find the distance covered we multiple the speed by the time which gives 20 metres meaning after every 20 metres it uses a speed of 2m/s so for 40 metres it's going to be 40 x2 over 20 giving us 4m/s

To position two oppositely charged objects to give them the lowest potential energy (PE), they should be placed as close together as possible.

This is because the PE of a charged object is inversely proportional to the distance between the objects. As the distance between the objects decreases, the PE also decreases.

Therefore, to minimize the PE( potential energy ) between two oppositely charged objects, they should be positioned as close together as possible, without actually touching each other.

This configuration represents the state of maximum stability and minimum potential energy, as the attractive electrostatic forces between the objects are maximized when they are in close proximity.

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The given mass of the slider is 1.2 lb. The speed of the slider when it reaches point B is 9.2 ft/s. The curve along which the slider moves is smooth, and no friction is present. Determine the magnitude of the force exerted by the rod on the slider.

Determine the rate at which the slider's speed is changing (positive if speeding up, negative if slowing down).Given that, Mass of the slider, m = 1.2 l b Velocity of the slider at point B, V = 9.2 f t/s Let's assume N be the normal force acting on the slider.

Hence the weight acting on the slider is mg, where g is acceleration due to gravity. The forces acting on the slider are resolved along the vertical and horizontal directions.

Rate of change of velocity of the slider is the acceleration acting on the slider. As the motion is along a vertical plane, the only force acting on the slider in the vertical direction is the weight of the slider.

Therefore the rate of change of the velocity of the slider is negative. The rate of change of the speed of the slider is given by the derivative of the velocity function.

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Answer:

The I & O Psychology researchers are most interested in areas such as personnel selection, job analysis, performance management, organizational development etc..

The personnel selection is a critical area that involves developing methods to identify the most qualified candidates for job positions. This area encompasses techniques such as job analysis, interview strategies and personality assessments.

Another area is performance management which involves developing effective performance appraisal systems, feedback mechanisms and coaching strategies to enhance employee performance. These are examples of diverse areas of interest within Industrial and Organizational Psychology.

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Answer:use 1/2 x M x V^2

Explanation:

to calculate the kinetic energy, observe the velocity from the graph at 8.0 seconds. and use the formula!