Acceleration of an object
decreases as the mass of the object increases.
increases as the force on the object increases.
O Both A and B
None of the above

Answer: velocity is the study of how fast an object changes its place, or is displaced.

Explanation: An example would be how fast a basketball reaches the other side of a gym, the acceleration and speed are measured and calculated to find velocity

Answer:

No. of Molecules = 18.06 x 10²³ molecules

No. of Atoms of P = 3 atoms

No. of Atoms of Na = 9 atoms

Total No. of Atoms = 24 atoms

Explanation:

FOR NUMBER OF MOLECULES:

\(No.\ of\ Molecules = (No.\ of\ Moles)(Avigadro's\ Number)\\No.\ of\ Molecules = (3)(6.02\ x\ 10^{23}\ molecules})\\\)

No. of Molecules = 18.06 x 10²³ molecules

FOR NUMBER OF P ATOMS:

\(No.\ of\ Atoms\ of\ P = (No.\ of\ Moles)(N.\ of atoms of P)\\No.\ of\ Atoms\ of\ P = (3)(1\ atom})\)

No. of Atoms of P = 3 atoms

FOR NUMBER OF Na ATOMS:

\(No.\ of\ Atoms\ of\ Na = (No.\ of\ Moles)(N.\ of atoms of Na)\\No.\ of\ Atoms\ of\ Na = (3)(3\ atom})\)

No. of Atoms of Na = 9 atoms

FOR TOTAL NUMBER OF ATOMS:

\(Total\ No.\ of\ Atoms = (No.\ of\ Moles)(N.\ of\ atoms\ of\ Na + No.\ of\ atoms\ of\ P + No.\ of\ atoms\ of\ O)\\ Total\ No.\ of\ Atoms\ = (3)(3\ atoms + 1\ atom + 4\ atoms}) = (3)(8\ atoms)\)

Total No. of Atoms = 24 atoms

Therefore, the force required to accelerate a mass of 7 kg at a rate of 17 m/s² is approximately 26.78 lb.

To calculate the force required to accelerate a mass of 7 kg at a rate of 17 m/s², you can use the formula F = ma, where F is the force in newtons, m is the mass in kilograms, and a is the acceleration in meters per second squared. Since the question asks for the force in lb, we will need to convert the result from newtons to pounds.

First, we can calculate the force in newtons by multiplying the mass by the acceleration: F = 7 kg x 17 m/s² = 119 N.

To convert newtons to pounds, we can use the conversion factor 1 N = 0.2248 lb. Therefore, the force required to accelerate a mass of 7 kg at a rate of 17 m/s² is:

F = 119 N x 0.2248 lb/N = 26.78 lb.

Therefore, the force required to accelerate a mass of 7 kg at a rate of 17 m/s² is approximately 26.78 lb.

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The given problem involves analyzing the aerodynamic characteristics of an airplane wing at a specific flight condition. The total drag force on the wing is approximately 14664.82 N and we can evaluate L/D ratio at 4 degrees angle of attack.

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Answer:

9.8 Joules (rounded to 2 significant figures)

Explanation:

Work done (J)= Force(N) x distance changed (m)

--> work done= 4.90332 x 2

work done= 9.8 Joules

Answer:

10.2 m/s

Explanation:

Using conservation of energy:

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

The velocity when car reaches the bottom of the hill is 10.2 m/s.

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

M.E = ½ mv² + mgh

where g is the acceleration due to gravity, v is the velocity, m is the mass and h is the height of the object.

Given is a 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees.

Using conservation of energy principle, we have

PE = KE

mgh = ½ mv²

v = √(2gh)

Substitute the values, we get

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

Thus, the velocity when car reaches the bottom of the hill is 10.2 m/s.

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Answer:

The boat is most likely to crash or sink since the water will be very rapid and pacing.

Answer:

The ratio of the potential difference across a metallic conductor to the current in the conductor is known as.

B. Resistance.

Explanation:

According to ohms law   " the current  passing through a conductor is directly proportional to the potential difference between the ends provided the temperature of the wire remains constant".

What is resistance ?

Resistance is a measure of the opposition to current flow in an electrical circuit

what is a resistor ?

a resistor is a n electric conductor which forms resistance to free flow of electric current, the resistance is measured in Ω

The ratio of the potential difference across the conductor to the current is called resistance

It is defined as the ratio of the potential difference across the conductor to the current. The resistance is measured in Ω.

\(R = \dfrac VI\)

Where,

\(R\) - resistance

\(V\)- voltage (Potential difference)

\(I\) - current

Therefore, the ratio of the potential difference across the conductor to the current is called resistance.

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the frequency is  6x10⁻¹⁴ s⁻¹, the work function is 1.890 x 10⁻¹⁹ J, the energy of photons is  1.875 x 10⁻¹⁸ J and the wavelength is 780 nm.

a. The frequency of the 500 nm radiation is  6x10⁻¹⁴ s⁻¹.

b. The work function for the material can be determined using the equation W = hf - eV, where W is the work function, h is Planck's constant, f is the frequency of the radiation, and eV is the energy necessary to stop the photoelectrons from reaching the anode. In this case, eV = 3 V, so W = 6.63x10⁻³⁴ x 6x10¹⁴ - 3 = 1.890 x 10⁻¹⁹ J.

c. The energy of the photons associated with the unknown wavelength can be determined by using the equation E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the radiation. Since we do not know the frequency of the unknown wavelength, we can use the equation E = hc/lambda, where c is the speed of light and lambda is the wavelength of the radiation. Since we are given that the potential required to stop the photoelectrons is 3V, we can calculate the energy of the photon as E = 3/1.6x10¹⁹ = 1.875 x 10⁻¹⁸ J.

d. The unknown wavelength can be determined using the equation lambda = hc/E, where h is Planck's constant, c is the speed of light, and E is the energy of the photon. Substituting the values, we get lambda = 6.63x10⁻³⁴ x 3x10⁸/1.875 x 10 = 7.8 x 10⁻⁷ m, or 780 nm.

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Answer:

85 miles .

Explanation:

Displacement along the 110 South freeway = 260 - 150  =  110 miles

Displacement along the 110 North freeway = 150 - 175   = - 25 miles

Net displacement = 110 - 25 = 85 miles

So Joey's displacement from the 260 mile marker is 85 miles .

The current through the new resistor will be half of the original current.

The resistance of a conductor depends on its material, length, and cross-sectional area, and is given by: R = (ρL) / A

Where R is the resistance, ρ is the resistivity of the material, L is the length, and A is the cross-sectional area.

Since the new resistor has twice the cross-sectional area of the original, its resistance will be half that of the original, assuming the length and material are the same.

According to Ohm's Law, the current through a resistor is directly proportional to the potential difference across it, and inversely proportional to its resistance: I = V / R

where I is the current, V is the potential difference, and R is the resistance.

Since the potential drop across the resistor is the same for the new resistor as for the original, and the new resistor has half the resistance, the current through the new resistor will be twice the current through the original resistor.

Therefore, the current through the new resistor will be half of the original current.

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Answer: I believe the correct answer would be they join north pole to south pole. The direction of these lines always goes from the direction of north to south pole. These lines forms loops in order to favor the way which requires or has less resistance. Hope this helps.

1) wavelength is 2

6m is 3 wavelengths so 6 = 3.. to find for one wavelength divide both sides by 3

6 = 3

2(m) = 1(wavelength)

2) amplitude is half of what they've given

2/2 = 1m

3) f = 1/t

time period = 1.5s for 3 wavelengths

time period for one wavelength is 1.5/3 = 0/5

so f = 1/0.5 = 2 Hz

Answer:

meter,kilometer,centimeter and millimeter

Explanation:

The force field F(p) = -(k/p^2)e represents an inverse square force law, where k is a constant and p is the radial distance from the origin. To find the angular frequency of polar vibrations around stable circular motion, we can consider the equation of motion for a particle in a circular orbit.

For circular motion, the centripetal force is given by Fc = mω^2p, where m is the mass of the particle, ω is the angular frequency, and p is the radial distance.Equating the centripetal force to the force field, we have:-
(k/p^2)e = mω^2p
Simplifying, we get:
k/p^3 = mω^2
Taking the square root and rearranging, we find:
ω = √(k/(mp^3))
This is the angular frequency of polar vibrations around stable circular motion.To show that this frequency is equal to the rotational angular frequency of circular motion, we can recall that in circular motion, the rotational angular frequency ω_rot = v/p, where v is the tangential velocity.Since the tangential velocity v = ω_rot * p, we can substitute this into the equation for ω:
ω = √(k/(m * p^3)) = √(k/(m * p^2)) * (1/p)
Using the relation v = ω_rot * p, we can rewrite the expression as:
ω = √(k/(m * p^2)) * (1/p) = √(k/(m * p^2)) * (1/(v/p))
Simplifying, we get:
ω = √(k/(m * p^2)) * (p/v) = v/√(m * k)
This shows that the angular frequency ω is equal to the rotational angular frequency ω_rot. Therefore, the angular frequency of polar vibrations around stable circular motion is equal to the rotational angular frequency of circular motion.

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The electronic configuration of the carbon atom in the excited state is 1s² 2s² 2px¹ 2py¹ 2pz². The total angular momentum (♬) values can be determined by combining the angular momenta of the individual electrons.

In this case, there are three electrons in the p-subshell, so the possible ♬ values are 0, 1, and 2. The total wave functions can be constructed by combining the single eigenstates of the p-electrons, taking into account the symmetry properties.

The spectroscopic notation L represents the total orbital angular momentum, which can have values from 0 to ♬. The possible spectroscopic notations for carbon in this excited state would include L = 0, L = 1, and L = 2.

The symmetry of the total wave functions can be determined using the Clebsch-Gordan coefficient table and considering the combination of angular momenta for each |Im) and Sm) state.

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Newly formed neutron stars have extremely strong magnetic fields due to the combination of their rapid rotation, high density, and the presence of charged particles within their composition. When a massive star reaches the end of its life and undergoes a supernova explosion, its core collapses and forms a highly compact and dense neutron star.

This process conserves the original star's magnetic field, which becomes amplified due to the compression.

The rapid rotation of the newly formed neutron star also contributes to the generation of a powerful magnetic field. The movement of charged particles within the dense neutron star creates electric currents, and as the star rotates, these currents generate a magnetic field.

In summary, newly formed neutron stars have extremely strong magnetic fields because of their rapid rotation, high density, and the presence of charged particles, which together create and amplify the magnetic field during the star's formation.

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Answer:

IMA = 2.5 metres

EFFICIENCY = 80%

Explanation:

The AMA of a machine is referred to as the Actual Mechanical Advantage of a machine, calculated as the ratio of the output to the input force.

The Ideal Mechanical Advantage is the ratio of the input distance to the output distance.

From the diagram, the input distance which is also the distance moved by effort  = 5metres

The load distance (output distance) = 2 metres

IMA = INPUT DISTANCE / OUTPUT DISTANCE

IMA = 5metres / 2 metres = 2.5 meters

Efficiency is the ratio of AMA TO IMA

AMA = 2, IMA = 2.5

EFFICIENCY = AMA / IMA

EFFICIENCY = (2 / 2.5) × 100%= 0.8 × 100%

EFFICIENCY = 80%

Answer:

(9.4 times / 8.5 minutes) x (1 minute / 60 seconds)

= (9.4) / (8.5 x 60) times/second

= 0.013 Hz .

According to Pascal's principle, pressure applied to a confined fluid is transmitted equally in all directions. In this case, the pressure applied to the larger plate at a will be transmitted to the oil in the container and will also push the smaller plate at b upwards.

To balance the object at a, an equal force must be applied to the smaller plate at b. The first step is to calculate the pressure exerted by the object on the oil in the container. The formula for pressure is P = F/A, where P is pressure, F is force, and A is area. The area of the larger plate at a is (22 cm)^2 x π = 1,518.72 cm^2. Therefore, the pressure exerted by the 132-kg object is:

P = F/A = (132 kg x 9.8 m/s^2) / 1,518.72 cm^2 = 0.865 kPa

Since the oil has a density of 0.820 g/cm^3, its mass per unit volume is 0.820 kg/L or 820 kg/m^3. The pressure transmitted by the object will cause the oil to rise to a certain height in the narrower column at b. The height difference between the oil levels in the two columns is h and can be calculated using the formula P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference. Rearranging the formula gives:

h = P / (ρg) = 0.865 kPa / (820 kg/m^3 x 9.8 m/s^2) = 0.000111 m = 1.11 cm

Therefore, the smaller plate at b will rise by 1.11 cm. The area of the smaller plate at b is (6.5 cm)^2 x π = 132.73 cm^2. To balance the object at a, an equal force must be applied to the smaller plate at b. The formula for force is F = ma, where F is force, m is mass, and a is acceleration. The acceleration in this case is due to gravity, so a = g = 9.8 m/s^2. Rearranging the formula gives:
m = F/a = (132 kg x 9.8 m/s^2) / 132.73 cm^2 = 98.82 kg

Therefore, to balance the object at a, a mass of 98.82 kg should be placed on the smaller plate at b.

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The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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The average power delivered to the circuit is 126.56 watts.

In a series RLC circuit, the impedance is given by Z = √(R^2 + (XL - XC)^2), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance. We know that the impedance Z is 120 ω and the resistance R is 64 ω. So, we can use these values to find the values of XL and XC.
XL = Z^2 - R^2 = √(120^2 - 64^2) = 105.17 ω
XC = √(Z^2 - R^2) = √(120^2 - 64^2) = 105.17 ω
Now, we can use the formula for average power in a series RLC circuit, which is P = Vrms^2/R, where Vrms is the rms voltage. Here, Vrms is given as 90 volts.
P = Vrms^2/R = 90^2/64 = 126.56 watts.

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Answer:

see below

Explanation:

18.5 m in .46 sec  =  18.5 /.46 m/s  = 40.2 m/s

The color depends on the properties of the light, which is the frequency of the light. The option a is the correct answer.

The frequency of light is the number of complete cycles or oscillations in which the light wave occurs in a period. Different frequencies of light correspond to different colors in the visible spectrum. For example, high-frequency light appears bluer, while low-frequency light appears more red.

Amplitude refers to the strength or brightness of the light and does not directly determine the color of the light.

While the speed of light is important in physics, it is not directly related to color perception.

So the correct answer is frequency (a).

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\( \sf \nu \: = \lambda \times \upsilon\)

\( \sf \nu = 3 \times 15\)

\( \sf \nu \: = 45 \: m/s\)

➪The speed of ocean waves is 45 m/s...~

Answer: 1) Mass is a scalar quantity while weight is a vector quantity

2) Mass is measured in Gramma and kilogram while weight is measured in Newton.

Explanation:

Mass can be defined as the amount of matter that comprises an object. It is a scalar quantity, that is, it has magnitude. It is measured in kilogram with its unit in Kg. Mass is measured using an ordinary weighing scale.

Weight can be defined as the force acted upon an object due to gravity. Weight is a vector quantity, that is, it has both magnitude and direction towards the center of the earth. Weight can be measured with the use of a spring balance. Its unit is in Newton.