thinking about the units of a problem can often help you devise a strategy for solving it. consider the types of units that go with the following equations, then decide which equations are valid statements.time=distance/speeddistance=speed x timedistance=speed/timespeed=distance x timespeed=distance/time

Answer:

8 mph

Explanation:

4 miles in half hour so you add 4 more for the second half

Answer:

The tension of the rope is 1152 N

Explanation:

Force

Newton's second law states that the acceleration of an object is directly proportional to the net force and inversely related to its mass.

The law can be written as:

F = m.a

The rope must apply a force F to accelerate the car of m=960 Kg at \(a=1.2~ m/s^2\). Given the track is frictionless, all the force applied produces acceleration, thus:

\(F = 960~Kg\cdot 1.2~ m/s^2\)

F = 1152 N

The tension of the rope is 1152 N

Correct Option: c. The potential difference across each resistor must be the same In a circuit containing two unequal resistances in parallel, the potential difference across each resistor is the same, since they are connected to the same pair of nodes.

When two unequal resistances are connected in parallel in a circuit, the total resistance decreases as compared to when they are connected in series. This means that the conductance, which is the reciprocal of resistance, increases in the circuit.

Therefore, option a is incorrect. According to Ohm's law, the potential difference across a resistor is directly proportional to the current flowing through it. In a parallel circuit, the potential difference across each resistor is the same, as the voltage source is connected across the entire circuit and the same voltage is applied to each parallel branch.

Hence, option c is correct. Since the potential difference across each resistor is the same, and the resistances are unequal, the current flowing through each resistor will be different.

The current through the smaller resistance will be larger than the current through the larger resistance. Therefore, option d and e are incorrect. In conclusion, the correct answer is option c: The potential difference across each resistor must be the same.

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Answer:

Boyle's law states that at constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure. Most gases behave like ideal gases at moderate pressures and temperatures. The technology of the 17th century could not produce very high pressures or very low temperatures.

Explanation:

Boyle's law states that at constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure. Most gases behave like ideal gases at moderate pressures and temperatures. The technology of the 17th century could not produce very high pressures or very low temperatures.

Comets are small celestial bodies composed of ice, dust, and rock. As they orbit the sun, they develop a coma, a gaseous atmosphere, and a tail that extends millions of miles behind them. As a comet approaches the sun, the heat causes the ice to vaporize, releasing gas and dust particles that form the coma and tail.

When a comet is at its farthest distance from the sun, the gravitational potential energy of the sun-comet system is at a maximum. This is because the distance between the comet and the sun is greatest at this point in the comet's elliptical orbit, meaning that the gravitational force between the two objects is at its weakest. The kinetic energy, speed, total energy, and acceleration of the comet are all affected by various factors such as the shape and size of the comet's orbit, but they are not specifically at a maximum when the comet is at its farthest distance from the sun.

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To charge an electroscope by induction, the steps to be followed are Grounding, Approach, Charge Separation, Ground Connection, Charge Neutralization, Ground Disconnection, and Charge Retention.

1. Grounding: First, ensure that the electroscope is placed on a stable, non-conductive surface to prevent any unwanted charge transfer.

2. Approach: Bring a charged object (e.g., a charged rod) near, but not touching, the electroscope's metal plate or sphere. This creates an electric field that influences the electroscope.

3. Charge Separation: Due to the electric field, the free electrons in the electroscope redistribute themselves. If the charged object is negatively charged, electrons in the electroscope will be repelled to the furthest point, leaving the metal plate or sphere with a positive charge.

4. Ground Connection: Temporarily connect the electroscope to a ground, such as the Earth, using a conductor (e.g., a metal wire). This provides a path for excess charges to move between the electroscope and the ground.

5. Charge Neutralization: With the ground connection in place, the excess electrons in the electroscope move to the ground, neutralizing the negative charge on the furthest point.

6. Ground Disconnection: Remove the ground connection while the charged object is still near the electroscope. This traps the remaining positive charge on the metal plate or sphere.

7. Charge Retention: Finally, move the charged object away from the electroscope. The electroscope remains positively charged, demonstrating that it has been charged by induction.

By following these steps, you can successfully charge an electroscope using the induction method. This process demonstrates the principles of charge separation, grounding, and charge conservation.

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Approximately 15,918 turns are in the secondary coil of the transformer.

To find the number of turns in the secondary coil of the transformer, we can use the turns ratio formula:

Turns ratio = N₂ / N₁ = V₂ / V₁

Where N₁ and N₂ are the number of turns in the primary and secondary coils respectively, and V₁ and V₂ are the voltages across the primary and secondary coils respectively.

Given:

V₁ = 117 V

V₂ = 13,500 V

N₁ = 138 (primary coil turns)

Using the turns ratio formula, we can calculate the number of turns in the secondary coil (N₂):

Turns ratio = N₂ / N₁ = V₂ / V₁

N₂ / 138 = 13,500 V / 117 V

N₂ / 138 = 115.3846

Multiplying both sides by 138:

N₂ = 115.3846 * 138

N₂ ≈ 15,918.75

Therefore, approximately 15,918 turns are in the secondary coil of the transformer.

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The drawing of a parallel circuit shows that the points where one could switch off lights are:

Parallel circuits are circuits in which the components are connected in parallel to each other. This means that there are multiple paths for current to flow through the circuit. The voltage across each component in a parallel circuit is the same, but the current through each component can be different.

When the switch at point C is switched off, only a single bulb would be switched off which is the last one. At point B, the second and last bulbs would go off but at point A, all lights would go off as the power is cut below it reaches the bulbs.

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A possible length for the third side of the scalene triangle could range between 12 cm and 42 cm.

To determine a possible length for the third side of a scalene triangle, we can use the triangle inequality theorem. In geometry, the triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides of the triangle measure 15 cm and 27 cm, let's consider the possible range for the length of the third side:

1. The third side must be greater than the difference between the lengths of the other two sides: |15 - 27| = 12 cm.

2. The third side must be smaller than the sum of the lengths of the other two sides: 15 + 27 = 42 cm.

Therefore, a possible length for the third side of the scalene triangle could range between 12 cm and 42 cm.

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Answer:

Bang on a drum.  

Explanation:

Amplitude is making loud sounds

Stippling is a cutaneous condition brought on by unburned gunpowder fragments. Stippling cannot be removed with water, in contrast to other things that may be deposited on the skin, such as soot. Stippling suggests that when the gun was discharged, it was less than two feet from the victim's body.

Stippling in gunfire is what?

Stippling is the term used to describe the occurrence of numerous punctate skin abrasions brought on by foreign objects contacting the skin's surface. 1. Gunpowder tattooing, also known as gunpowder stippling, refers especially to stipple marks left behind by gunpowder when it leaves a gun.

What does forensic stippling mean?

Stippling is the term used in forensic science to describe a pattern of gunshot wounds left on the skin as a result of being in close contact to a discharged weapon. Stippling is a technique used in gunsmithing to engrave designs on the grip of a firearm to increase friction and provide a more secure grip.

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Answer:

F = 780 [N]

Explanation:

To solve this problem we must use newton's second law which tells us that the sum of forces on a body must be equal to the product of mass by acceleration

ΣF =m*a

where:

F = force [N] (units of Newtons)

m = mass = 2600 [kg]

a = acceleration = 0.3 [m/s²]

F = 2600*0.3

F = 780 [N]

The force you need to apply to keep the bulletin board in place against the wall is 7.49 N, assuming the coefficient of static friction between the bulletin board and the wall is 0.39.

To calculate the force you need to apply to keep the bulletin board in place against the wall, we can use the equation:

F_friction = coefficient_of_friction × F_perpendicular

where F_friction is the force of friction between the bulletin board and the wall, coefficient_of_friction is the coefficient of static friction between the bulletin board and the wall, and F_perpendicular is the force perpendicular to the bulletin board that you are applying to keep it in place.

Since the bulletin board is not moving, the force of friction is equal and opposite to the force you are applying, so we can rewrite the equation as:

F_perpendicular = F_friction / coefficient_of_friction

We know that the weight of the bulletin board is 7.49 N, but we need to find its normal force against the wall in order to calculate the force of friction. Since the bulletin board is being held perpendicular to the wall, the normal force is equal to the weight of the bulletin board:

F_normal = 7.49 N

Now we can use the formula for friction to calculate the force of friction:

F_friction = coefficient_of_friction × F_normal

F_friction = 0.39 × 7.49 N

F_friction = 2.92 N

Finally, we can use the equation above to calculate the force perpendicular to the bulletin board that you need to apply to keep it in place:

F_perpendicular = F_friction / coefficient_of_friction

F_perpendicular = 2.92 N / 0.39

F_perpendicular = 7.49 N

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Vertically, the object is in equilibrium, so that the net force in this direction is

∑ F (vertical) = n - mg = 0

where n is the magnitude of the normal force due to the contact between the object and surface. You're given that the object's weight is mg = 550 N, so n = 550 N as well.

Horizontally, the net force would be

∑ F (horizontal) = p - f = 0

where p is the magnitude of the applied force and f is the magnitude of (kinetic) friction opposing p. Now,

f = 0.012n = 0.012 (550 N) = 6.6 N

so that you need to apply a force of p = 6.6 N to keep the object sliding at a steady pace.

Answer:

FALSE

Explanation:

an electric field has both magnitude and direction. it also has strength

a) Mutual inductance = 0.108 H; Coupling coefficient = 0.482. b) - 4.95 V.


a) Mutual inductance, M between coil A and coil B can be given as:

M = k√(L_AL_B) here, k is the coupling coefficient, L_A and L_B are the inductances of the coil A and coil B respectively. Since 54% of flux produced by coil A links coil B,

So, K = 0.54

L_A = N_A Φ/I_AL_A

= 8120 × 0.02/6

= 27.07 mH

L_B = N_B Φ/I_BL_B

= 11842 × 0.078/6

= 154.63 mH

M = k√(LALB) = 0.482 × √(27.07 × 0.15463) = 0.108 H

b) The emf induced in coil B can be given as:-

ε = M (dI_B/dt)/L_B

ε = 0.108 × (-6/0.015) / 0.15463 = -4.95 V

Thus, the emf induced in coil B when the current is reversed in 0.015 seconds is -4.95 V.

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Part A: The radius of curvature of the lens surface is approximately 3.17 m. Part B: The focal length of the lens is approximately 1.59 m.

Part A:

To find the radius of curvature of the lens surface, use the formula for the radius of the nth bright ring in a planoconvex lens:

r = √(n × λ × f),

where r = radius of the nth bright ring, λ = wavelength of light, and f = focal length of the lens.

In this case, n = 42 (since the last bright ring is observed at the edge), λ = 580 nm (converted to meters, so λ = 580 × 10⁻⁹ m).

Rearranging the formula, solve for f:

f = r² / (n × λ).

Plugging in the values:

f = (0.021 m²) / (42 × 580 × 10⁻⁹ m).

Calculating this expression gives:

f = 3.17 m.

Therefore, the radius of curvature of the lens surface is approximately 3.17 m.

Part B:

The focal length of the lens can be determined using the formula:

f = R / 2,

where R = radius of curvature.

Plugging in the value for the radius of curvature obtained in Part A:

f = 3.17 m / 2.

Calculating this expression gives:

f = 1.59 m.

Therefore, the focal length of the lens is approximately 1.59 m.

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Answer:

The statements that describe the relationship between history and geography are:

Geography is the setting of the history's story.

Geography plays a role in historic events.

History affects geography, and geography influences history.

The second, third, and the fifth statements are the correct answers.

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 astronaut's final speed with respect to the shuttle after the tank is thrown would be 2.67 m/s.

Let's first find the initial momentum of the system, which is zero because the astronaut is at rest with respect to the shuttle and the tank is thrown in the opposite direction with a speed of 12 m/s:

p_initial = m_astronaut * v_astronaut_initial + m_tank * v_tank_initial

where m_astronaut = 63 kg is the mass of the astronaut, v_astronaut_initial = 0 m/s is the initial velocity of the astronaut, m_tank = 10 kg is the mass of the oxygen tank, and v_tank_initial = -12 m/s is the initial velocity of the tank (negative because it is thrown in the opposite direction).

p_initial = 63 kg * 0 m/s + 10 kg * (-12 m/s) = -120 kg m/s

After the tank is thrown, the system experiences no external forces, so its total momentum remains constant:

p_final = m_astronaut * v_astronaut_final + m_tank * v_tank_final

Since the tank is thrown away from the astronaut with a certain momentum, the astronaut gains an equal and opposite momentum, so we can write:

p_final = -p_initial

Substituting the values of p_final and p_initial, we get:

m_astronaut * v_astronaut_final + m_tank * v_tank_final = -120 kg m/s

We also know that the tank is thrown away at a certain speed, so we can write:

v_tank_final = -12 m/s

Thus:

m_astronaut * v_astronaut_final + 10 kg * (-12 m/s) = -120 kg m/s

v_astronaut_final = (120 kg m/s - 10 kg * (-12 m/s)) / 63 kg

v_astronaut_final = 2.67 m/s

Therefore, the astronaut's final speed with respect to the shuttle after the tank is thrown is 2.67 m/s.

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Answer:

The time you enjoy wasting, is not wasted time

Explanation:

It's not a wasting time.

Answer:

I’m so sorry I tried solving it but I don’t understand it can you explain the question a little bit more ty

Explanation:

smaller than the object and upright.

We have a negative lens, the image is between the object and the lens.

The top of the virtual image must be below and touching the ray that connects the top of the car with the lens (green)

So, the image will be smaller than the car and it won't be inverted.

To determine this same train's velocity, you would require to understand it's own direction.

The pace at which a material's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocities is the determination of a moving object's rate and direction (for example, 60 km/h to the north).

Velocity is a unit of measurement for motion that begins in one location and moves to another. There are countless practical uses for velocity, one of the more frequent ones is figuring out how quick you (or something that is motion) will get somewhere from somewhere.

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Answer:

the anwser is atp

Explanation:

To move substances against a concentration or an electrochemical gradient the cell must use energy. This energy is harvested from ATP that is generated through cellular metabolism. Active transport mechanisms, collectively called pumps or carrier proteins work against electrochemical gradients.

The energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

The passive transport is the shifting or transfer of a solute from a place where the electrochemical potential is high to a place where the electrochemical potential is low.

Energy require for passive transport-

Thus, the energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

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The position of the center of mass of the Earth-Moon system is located 4,676 kilometers from the center of the Earth.

First, let us recall the formula for the center of mass, which is:

center of mass = (m1r1 + m2r2)/(m1 + m2)

where,

m1 and m2 are the masses of the two objects

r1 and r2 are their distances from the reference point

Earth: m1 = 5.97 x 10^24 kg,

r1 = 0 km

Moon: m2 = 7.35 x 10^22 kg,

r2 = 384,400 km (3.84 x 10^8 m)

We can ignore the radii of the two objects because they are negligible compared to their orbital radii. So the center of mass of the Earth-Moon system can be calculated as follows:

center of mass = (m1r1 + m2r2)/(m1 + m2)

= [(5.97 x 10^24 kg)(0 km) + (7.35 x 10^22 kg)(3.84 x 10^8 m)]/(5.97 x 10^24 kg + 7.35 x 10^22 kg)

= 4.67 x 10^6 m or 4,676 km from the center of the Earth

Therefore, the position of the center of mass of the Earth-Moon system is located 4,676 kilometers from the center of the Earth.

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Answer:

MY friend has already described the purpose of projectile motion so I will quickly go through the uses of each equation ...

Explanation:

TIME OF FLIGHT = it is given as 2Usin tita/g...it is the total time taken to and fro...it is 2x of the time taken ....

TIME taken ..t= Usin tita / g.....is the time taken to reach the maximum height which is 1/2 the TOTALTIME OF FLIGHT GIVEN ABOVE ..

MAXIMUM HEIGHT: the maximum height is the height attained by the projectile when projected ...it is calculate using the formula = U^2 sin^2 tita / 2g

Range =Search Results

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An object launched into projectile motion will have an initial launch angle anywhere from 0 to 90 degrees. The range of an object, given the initial launch angle and initial velocity is found with: R=v2isin2θig R = v i 2 sin ⁡ 2 θ i g .

One cylinder of an automotive four-stroke cycle engine completes a cycle every four strokes.An automotive four-stroke cycle engine completes a cycle every four strokes, with the intake stroke drawing in fuel-air mixture, the compression stroke compressing the mixture, the power stroke igniting the compressed mixture, and the exhaust stroke expelling burnt gases. Each stroke takes two full rotations of the crankshaft.

One cylinder of an automotive four-stroke cycle engine completes a cycle every two crankshaft revolutions.
1. Intake stroke: The piston moves downward, drawing in a fuel-air mixture as the intake valve opens.
2. Compression stroke: The piston moves upward, compressing the fuel-air mixture with both valves closed.
3. Power stroke: The spark plug ignites the compressed mixture, causing it to expand and push the piston downward. This generates power.
4. Exhaust stroke: The piston moves upward again, expelling the burnt gases through the open exhaust valve.
These four strokes make up one cycle, which requires two full rotations of the crankshaft.

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Answer:

The force of gravitational attraction between the satellite and Earth is \(2.587\times 10^{10}\) newtons.

Explanation:

Statement is incorrect. Correct statement is:

A satellite (\(m = 4.44\times 10^{9}\,kg\)) travels in orbit around the Earth at a distance of \(1.9\times 10^{6}\,m\) above Earth's surface. What is the force of gravitational attraction between the satellite and Earth?

The gravitational force experimented by the satellite (\(F\)), in newtons, is calculated by Newton's Law of Gravitation, whose equation is defined by following formula:

\(F = \frac{G\cdot m \cdot M}{R^{2}}\) (1)

Where:

\(G\) - Gravitational constant, in cubic meters per kilogram-square second.

\(m\) - Mass of the satellite, in kilograms.

\(M\) - Mass of the Earth, in kilograms.

\(R\) - Distance of the satellite with respect to the center of the Earth, measured in meters.

If we know that \(G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}\), \(m = 4.44\times 10^{9}\,kg\), \(M = 5.972\times 10^{24}\,kg\) and \(R = 8.271\times 10^{6}\,m\), then the force of gravitational attraction between the satellite and Earth is:

\(F = 2.587\times 10^{10}\,N\)

The force of gravitational attraction between the satellite and Earth is \(2.587\times 10^{10}\) newtons.

Answer:

Alternating

Explanation:

Edge 2020