Suppose the universe were completely empty except for one object- a solid sphere moving through space at a speed of 100km/s. What sort of path would the object be moving in?

Answer:

both drivers experience the same force. just with different "results"

Explanation:

Answer:

You do

Explanation:

Momentum is mass*velocity. So Newton's 3rd law equal and opposite reaction. Because you weigh less you will have more force act on you than the driver who weighs more.

First, let's calculate the total resistance in the circuit.

Since the two resistors are in series, the total resistance is the sum of each resistance:

Now, to calculate the current, we can divide the voltage by the total resistance:

Therefore the current is 2.083 A.

The Current throughout the circuit is 2.083 A.

To calculate the current, we will use the formula:

I = V / R

Where,

I = current,

V = Voltage of Battery.

R = Total Resistance.

Now, we will use the given values in the question,

V = 25 V

R = 7Ω + 5Ω

Now, we have to find total Resistance,

Total Resistance =  7Ω + 5Ω

= 12Ω.

Now, we will calculate the current using the above formula,

Putting all the values,

I = 25 / 12

I = 2.083 A.

Therefore, the Current running throughout the circuit is 2.083 A.

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Answer:

see below

Explanation:

∑F at x = 0

-30 + Ft = 0

Ft = 30

∑F at y = 0

Fn + Fg = 0

45 - Fg = 0

Fg = - 45

The labels correctly complete the vector diagram is  X = 30 and Y = -45.

The velocity of such an item in motion could be represented in vector diagrams.

For vector X

It is known that, ∑F = 0 when x will be 0(x=0)

Hence,

\(F_{t}+F_{f} =0\\F_{t} +(-30) = 0\\F_{t} = 30\)

For vector Y

And, ∑F = 0 when y will be 0(y=0)

\(F_{n}+F_{g} =0\\F_{g} +(-45) = 0\\F_{g} = -45\)

Therefore, the value will be X = 30 and Y = -45.

The correct answer will be option (c).

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48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.

To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.

1 km (kilometer) = 1000 meter

1 h (hour) = 3600 seconds

1 minutes = 60 seconds

To convert m/s into km/h,

48 m/s * 3600/1000 =  172.8 km/h

To convert m/s into m/min,

48 m/s * 60 = 2880 m/min

To convert m/s into km/s,

48 m/s ÷ 1000 = 0.048 km/s

To convert m/s into km/minutes,

48 m/s * 60 / 1000 = 2.88 km/min

Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.

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48 m/s is equivalent to  172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

To express 48 m/s in different units of velocity:

km/h (kilometers per hour):

To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.

48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h

Therefore, 48 m/s is equivalent to 172.8 km/h.

m/min (meters per minute):

To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.

48 m/s * (60 m/min / 1 s) = 2880 m/min

Therefore, 48 m/s is equivalent to 2880 m/min.

km/s (kilometers per second):

Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.

48 m/s / 1000 = 0.048 km/s

Therefore, 48 m/s is equivalent to 0.048 km/s.

km/minute (kilometers per minute):

To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.

0.048 km/s * 60 = 2.88 km/minute

So, 48 m/s is equivalent to 2.88 km/minute.

Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

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The minimum period for a satellite in orbit around a spherical planet of uniform density can be derived by considering the gravitational force and the centripetal force acting on the satellite. By equating these forces, the minimum period can be determined.

The gravitational force acting on the satellite is given by the equation F_grav = (G * M * m) / r^2, where G is the gravitational constant, M is the mass of the planet, m is the mass of the satellite, and r is the distance between the center of the planet and the satellite.

The centripetal force required to keep the satellite in orbit is given by F_centripetal = (m * v^2) / r, where v is the velocity of the satellite.

By equating the gravitational force and the centripetal force, we have (G * M * m) / r^2 = (m * v^2) / r.

Simplifying the equation, we can solve for the velocity of the satellite, v, in terms of the gravitational constant, the mass of the planet, and the distance between the satellite and the planet.

The period of the satellite is given by the equation T = (2 * pi * r) / v, where T is the period and r is the distance between the center of the planet and the satellite.

By substituting the expression for v into the period equation, we can derive the minimum period for a satellite in orbit around a spherical planet of uniform density.

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Answer:

Approximately \(2.05\; {\rm m\cdot s^{-2}}\).

Explanation:

The net force on the girl would be:

\(\begin{aligned}m(\text{girl}) \, a(\text{girl}) &= 41\; {\rm kg} \times 3.0\; {\rm m\cdot s^{-2}} \\ &= 123.0\; {\rm N} \end{aligned}\).

Under the assumptions, the net force on this girl would be equal to the tension force in the rope. All other forces on the girl would be balanced.

In other words, the tension force that the rope exerted on the girl would be \(123.0\; {\rm N}\). The girl would exert a reaction force on the rope at the same magnitude (\(123.0\; {\rm N}\!\)) in the opposite direction. This force would translate to a \(123.0\; {\rm N}\!\!\) force on the boy towards the girl.

Under similar assumptions, the net force on the boy would also be \(123.0\; {\rm N}\). Since the mass of the boy is \(m(\text{boy}) = 60\; {\rm kg}\), the acceleration of the boy would be:

\(\begin{aligned}a(\text{boy}) &= \frac{(\text{net force})}{m(\text{boy})} \\ &= \frac{123.0\; {\rm N}}{60\; {\rm kg}} \\ &= 2.05\; {\rm m\cdot s^{-2}}\end{aligned}\).

The mass of a cylindrical rod is 6.29 kg.

The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition.

Density of lead = 10⁴ kg/m³.

Volume of a cylindrical rod of length 0.5m and radius 0.020m = πr²l

= (22/7)(0.020)²(0.5) m³

=6.29×10⁻⁴ m³.

Hence, mass of the cylindrical rod = volume × density

= 6.29×10⁻⁴ m³ ×  10⁴ kg/m³.

= 6.29 kg.

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The human capacity for storing long-term memories is A) essentially limitless.

The human capacity for storing long-term memories is generally considered to be essentially limitless. Unlike short-term memory, which has limited capacity and duration, long-term memory has the potential to store an enormous amount of information for extended periods.

Research suggests that the brain has an incredible capacity to form and store memories, and this capacity is not fixed or finite. The exact capacity of long-term memory is difficult to quantify precisely, as it can vary greatly among individuals and is influenced by various factors such as age, cognitive abilities, and expertise in specific domains.

While it is true that short-term memory has a limited capacity, long-term memory has the ability to store a vast amount of information over a lifetime. Studies have shown that individuals can retain an extensive range of memories, including personal experiences, factual knowledge, and learned skills, without any predetermined upper limit on storage capacity.

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The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.

To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.

Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.

Using the formula, we can calculate the distance traveled as follows:

d = rt

d = 130 mph × 2.5 hours

Multiplying the rate (130 mph) by the time (2.5 hours) gives us:

d = 325 miles

Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.

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The runaway star is farther away from Earth than the sun. the sun is closer to Earth than the runaway star if it seems brighter than the star and the star is 90 times bigger than the sun.

An exceptionally high proper motion, known as a runaway star, is a star that was supposed to have been ejected from a nearby binary system when its companion star exploded supernova. Beyond the Milky Way, these runaway stars seem to be widespread, especially in massive galaxy clusters.

Astronomers have found hundreds of billions of runaway stars in the Virgo cluster. The Milky Way's sun and all of its stars are revolving around its nucleus. Although there are some little local motions within this broader stream of stars, it is largely orderly. Compared to the sun, the runaway star is closer to Earth.

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The Jovian planets are formed from materials different from the terrestrial planets for the reason that gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

A Jovian planet, also known as a gas giant, is a huge planet that has a primarily gaseous composition. The Jovian planets include Jupiter, Saturn, Uranus, and Neptune. They are primarily made up of hydrogen and helium, and they have enormous atmospheres.Jovian planets are formed farther away from the heat of the Sun, so they are formed from lighter-weight nebulae "dust." Terrestrial planets, on the other hand, are formed nearer to the Sun, so they are formed from heavier-weight nebulae "dust." The density of the materials that make up the Jovian planets is lower than that of the terrestrial planets due to this. This means that the Jovian planets have lower densities and a greater volume than the terrestrial planets.

Hence, the correct option is d. Gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

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The voltage of given circuit is 5 volts.

Explanation of Ohm's Law, the relationship between current, voltage and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them. Therefore, if the voltage V (in volts) across a wire made of one of these materials is tripled, the current I (in amperes) is also tripled. The quotient V/I remains constant. The quotient V/I for a particular piece of material is called the resistance R and is measured in units called ohms. The resistance of materials that obey Ohm's law does not change over vast voltage and current ranges. Ohm's law can be expressed mathematically as V/I = R.

Given,

I = 0.5 Amp

As all the four resistors are connected in series, total resistance of the circuit is:

R = 1 + 2 + 3 + 4

R = 10 Ω

Using Ohm's law:

V = IR

V = 0.5 × 10

V = 5 volts

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Using the concept of torque, the girl can walk out  1.52 m on the plank before the rope breaks.

The rotating force or moment of a force around a particular axis or pivot point is measured by torque. The tendency of a force to cause an object to spin along an axis is described as a vector quantity, torque.

We need to consider the torque exerted by the girl's weight and the tension in the rope.

The torque equation is given by:

τ = F × d where:τ is the torque, F is the force, and d is the distance from the pivot point.

In this case, the torque due to the girl's weight is balanced by the torque due to the tension in the rope.

The weight of the girl is

Weight = 63.2 kg * 9.8 = 619.36 N

Assuming the girl walks out on the plank at a distance of x m from the block.

The torque due to her weight is τ₁ = Weight  × x

The maximum tension the rope can withstand is 414 N, so the torque due to the tension in the rope is: τ₂ = Tension * (3.8 - x)

To find the maximum distance the girl can walk out on the plank before the rope breaks, we need to set the torques equal to each other:

τ₂ = τ₁

Weight × x = Tension × (3.8 - x)

putting all the values in the above equation

619.36 × x = 414 × (3.8 - x)

x = 1.52 m

Therefore, The girl can walk out  1.52 m on the plank before the rope breaks.

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Answer:

1) The Newton's law the Hulk is most closely demonstrating is the Third Law of motion

Newton's third law of motion states that action and reaction are equal and opposite.

2) The reason why the Newton's Law the Hulk is most closely demonstrating is the Newton's Third Law of Motion is that according to Newton's Third Law of motion, forces exist in pairs, the action of the Hulk when he leaps upward by pushing against the the Earth (which can be assumed stationary in relation to the Hulk), is equal to the reaction of the Earth, which moves down slightly, away from its initial position.

However, due to the large mass of the Earth, compared to the mass of the Hulk, the downward motion of the Earth due to the reaction force (equal to the force with which the Hulk leaps) is negligibly small, such that the Earth can absorb the Hulk's leap force by reacting mainly locally, at the leap point  by forming a crater, while the Earth in general, remains in the same place

Explanation:

If a motor car is traveling at a steady speed of 30m/s then the work done by the car each second against the force of air resistance is 48,000 J.

To calculate the work done by the car each second against the force of air resistance, we need to use the formula for work, which is:

work = force x distance

In this case, the distance is not given, but we know that the car is traveling at a steady speed of 30m/s. We can use this information to calculate the distance traveled in one second:

distance = speed x time
distance = 30m/s x 1s
distance = 30m

Now we can calculate the work done by the car against the force of air resistance:

work = force x distance
work = 1600N x 30m
work = 48,000 J

Therefore, the work done by the car each second against the force of air resistance is 48,000 J.

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The mutual inductance (M) in a two-coil system depends on the number of turns in each coil (N₁ and N₂), the permeability of the medium between the coils (µ), and the geometry of the coils.

Mutual inductance is a measure of the ability of one coil to induce an electromotive force (emf) in the other coil when a current changes in one of them. It depends on several factors.

First, the number of turns in each coil plays a role. The greater the number of turns, the stronger the magnetic field produced by the coil, resulting in a higher mutual inductance.

Second, the permeability of the medium between the coils is important. The permeability determines how easily magnetic flux lines pass through the medium. A higher permeability leads to stronger coupling between the coils and, consequently, higher mutual inductance.

Lastly, the physical arrangement and geometry of the coils affect the mutual inductance. The proximity and alignment of the coils influence the amount of magnetic flux linking them, thereby impacting the mutual inductance.

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Answer:

The Louisiana Purchase eventually doubled the size of the United States, greatly strengthened the country materially and strategically, provided a powerful impetus to westward expansion, and confirmed the doctrine of implied powers of the federal Constitution.

The temperature of the air at the given speed of sound wave is 142.8 ⁰C.

The temperature of the air at the given speed of sound and frequency is calculated as follows;

\(v = 332\sqrt{1 + \frac{T}{273} }\)

v = fλ

v = 745 x 0.55

v = 409.75 m/s

Now, solve for the temperature;

\(409.75 = 332 \sqrt{1 + \frac{T}{273} } \\\\1.234 = \sqrt{1 + \frac{T}{273} }\\\\1.234^2 = 1 + \frac{T}{273}\\\\0.523 = \frac{T}{273} \\\\T = 142.8 \ ^0C\)

Thus, the temperature of the air at the given speed of sound wave is 142.8 ⁰C.

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Simple machines are advantageous because they lessen labor requirements or enable people to undertake things that would otherwise be beyond their capacity.

The airplane, wedge, screw, lever, pulley, and wheel-and-axle are the six most typical simple machines. They are made to change the direction or strength of the force (remember that work is equal to force times distance), which makes the task easier to complete.

Simple machines including the axle, wheel and axle, pulleys, inclined plane, screw, wedge, and lever are frequently utilized. Although simple machines may increase or decrease the forces which can be applied on them, they have no effect on the overall amount of work required to complete the activity.

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The first law of thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W): ΔU = Q - W.

a. Isothermal process: In an isothermal process, the temperature remains constant, so there is no change in internal energy (ΔU = 0). Therefore, the first law of thermodynamics for an isothermal process is expressed as:
Q = W

b. Adiabatic process: In an adiabatic process, no heat is exchanged between the system and its surroundings (Q = 0). Therefore, the first law of thermodynamics for an adiabatic process is expressed as:
ΔU = -W

c. Isovolumetric process: In an isovolumetric process, the volume remains constant, so no work is done by the system (W = 0). Therefore, the first law of thermodynamics for an isovolumetric process is expressed as:
ΔU = Q

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In order to be a vector quantity, the quantity needs to have a direction, besides its magnitude.

For example, temperature has no direction, only magnitude, but velocity has direction and magnitude.

From these options, the only one that is a vector quantity is displacement, therefore the correct option is A.

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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Answer:

Explanation:

Discussion

The ones that are certain are

If you have a normal, and the player slides into 2nd, and stops (which he must before he is tagged), then there must be friction involved. There must be gravity, or he would keep going up.

I don't think there is tension. There might be some Air Resistance, but that force is very tiny. Don't be surprised if you answer includes Air Resistance, but I won't try it to begin with.

Burns that extend through the entire outer layer of the skin, known as the epidermis, and into the inner skin layer, known as the dermis, are considered second-degree burns.

These burns are more serious than first-degree burns, which only affect the outer layer of the skin, and can result in blistering, swelling, and pain. Second-degree burns can also cause damage to hair follicles, sweat glands, and nerve endings, which can lead to scarring and long-term changes in skin texture and color. Treatment for second-degree burns may include cleaning the affected area, applying topical ointments, and in some cases, skin grafting. It is important to seek medical attention for any burn that extends beyond the outer layer of the skin, as these burns can have serious complications if left untreated.

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Answer:

the answer is 32sin(45°)m/s

Answer:

\([A] = [B] = [C] = [D]\) por el Principio de Homogeneidad Dimensional y el uso de operaciones de adición y sustracción.

Explanation:

Por el Principio de Homogeneidad Dimensional, A, B, C y D deben tener las mismas magnitudes físicas para la realización de operaciones de adición y sustracción. Es decir:

\([A] + [B] = [C] - [D]\), donde \([A] = [B] = [C] = [D]\)

Answer:

true

Explanation:

Energy stored in the nuclei of atoms can be used to generate electricity. ... Most of the energy of food is converted to heat.

$ \large\boxed{ \sf \red{More ~Info :}}$

The units of supplementary quantities are dimensionless units.

\( \\ \)

Given,

The weight, W = 190 N

The height, H = 45 m

The potential energy is calculated by the formula,

Calculate the potential energy by substituting the given values.

Thus, the potential energy is 8,550 Joules.