Calculate how many minutes it takes sunlight reach us from the sun. Light travels at 3 x 10^8
m/s and the sun is about 144 million km away​

The correct response that shows the forces that act on the ball is "all of the above."

Let us recall that a force is that which is able to impart acceleration to a body and also to change the direction of the object. We also have to know that from the Newton's law, force must always be able to produce an acceleration in an object.

As the child is sitting on the floor and is twirling the ball round the circle there are three forces that acts on the ball and all these force are given as;

1) Tension force

2) Gravitational force

3) Normal force

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Here, we have a workbench whose entire length is 2.2 meters, together with the weight of the car differential. The mass is supported by the left and always will be, hence 409.3 divided by 9.8 kg equals one divided by G.

We now have 76.0 kilos of cramp. Additionally, the left end of this workbench has been kept one meter away from the auto differential. Therefore, this or conversation difference will have a weight of 76 in two gravitational acceleration. where G is the gravitational acceleration.

We must determine the weight that is supported by the two ends of this workbench at a distance of 1.0 meters.

The entire upward forces, which represent and one placenta, should be equal to the downward forces, which represent the weight of that Auto differential, which is 76 into 9.8 newtons, if these words are and one an end to first utilizing translational equilibrium for this workbench. And the result will be 744 8 Northern.

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The volume of the gold found by the scientist whose density and mass is given in the question is 16.26 cm³.

What is density?

Density describes how compact or concentrated something is. Suppose you have two boxes, one is large and other one is small. However, their weight is same. That means the small box has a higher density as compared to the large box.

As given in the question,

The density of the gold rock is  19.3 g/cm³.

and the mass calculated is  312,000 mg which is equal to 312 g.

The equation for density is:

[tex]Density = \frac{mass}{volume}[/tex]

Putting the value from the question,

312/19.3 = volume

volume = 16.16 cm³.

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The final volume of the balloon is 197,083 L.

They are proportional to each other if the pressure does not change. However, there are pitfalls. To perform calculations we have to use the so-called absolute temperature. Increased external air pressure compresses the balloon.

Using equation;

PV =nRT

here constants are P,n, R

so the relation between P and T is

V₁ /T₁= V₂/T₂

V₂ = (V₁ /T₁)×T₂

    = (125,000/300)×473

     = 197,083 L.

As the volume of the balloon decreases the pressure inside the balloon increases. After all external air pressure can compensate. It becomes a balloon filled with dense cold air. According to Boyle's law, the volume of a gas of constant mass at constant temperature is inversely proportional to its pressure. The air around you has weight and pushes away everything it touches. This pressure is called atmospheric pressure or barometric pressure. This is the force exerted on a surface by the air above as gravity pulls the surface toward the Earth.

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The magnitude of the gravitational force the moon exerts on Earth if Earth exerts a gravitational force of 1.99 x 10²⁰ newtons on the moon is 1.99 x 10²⁰ N

F = G m1 m2 / r²

F = Gravitational force of attraction

m1 = Mass of Earth

m2 = Mass of moon

r = Distance between moon and Earth

In this equation all the mentioned variables are constant for both gravitational force exerted by moon on Earth and by Earth on moon. So the value will be equal for both.

The equation mentioned above is the result of Newton's law of gravitation. This law states that any object in the universe attracts another object with a force which is directly proportional to product of both the masses and inversely proportional to the squared value of distance between them.

Therefore, the magnitude of the gravitational force the moon exerts on Earth is 1.99 x 10²⁰ N.

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The term "force" also refers to the effect that occurs when the body is moved from its position or is distorted. Force can be defined as the drive or pull of an item. We applied force to a wall, for example, but it did not move or change shape. even though we cannot see the distortion in a wall because it is a rigid body, there is still an exertion of force in actual practice.

Force

A force in pharmaceuticals is an influence that can alter how an object stirs. An object having mass can modify its speed—that is, accelerate—by being subjected to a force. Intimate synonyms for force include drive and pull. A force is a vector volume because it has both magnitude and direction. It is expressed as a newton in the SI system ( N). Force is denoted by the letter F. ( formerly P).

The net force acting on an item is equal to the rate at which its instigation changes with time, according to the original formulation of Newton's alternative law.

This rule, however, suggests that an item's acceleration is directly proportional to the net force acting on the object.

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The tension force of the system is 395 N.

The acceleration of the system is 3.95 m/s².

The net force on the system is obtained by applying Newton's second law of motion as follows;

Net vertical force on the masses;

Fu = m₁g cosθ  + m₂g

where;

Fu = (100 kg x 9.8 m/s²) cos(25)  +  (100 kg x  9.8 m/s²)

Fu = 1,868.2 N

Apply the formula for Newton's second law of motion,

m₂a - Ff = -m₁a

where;

m₂a + m₁a = Ff

a(m₂ + m₁) = Fu sinθ

a = Fu sinθ / (m₂ + m₁)

a = (1868.2 x sin25) / (100 + 100)

a = 3.95 m/s²

The tension force is calculated as follows;

F(tens) = m₂a

F(tens) =  100 kg x 3.95 m/s² = 395 N

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The reaction force of the box will be 50 N in opposite direction.

Newton's third law of motion states that for every action there is equal and opposite reaction.

According to this law, the force exerted on an object is equal to the reaction experienced by the object.

The applied force is equal in magnitude but opposite in direction to the reaction of the impact.

Mathematically, this law can be illustrated as follows;

Fa = -Fbb

where;

Thus, we can conclude that if a box is pushed to the left by a certain force, the reaction force will be equal in magnitude to the applied force but opposite in direction.

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The particles of liquid are closely packed together than the particles of gas.

A liquid is a state of matter that contains particles that are loosely packed and that takes the shape of its container.

A gas is a state of matter that contains particles that are randomly placed and has no definite shape.

Temperature is the property of matter that defines how hot or cold a particular state of matter is.

When liquid and gas is being compared, the particles of the liquid is loosely packed together while the particles of gas are randomly placed and which collided freely with the walls of its container.

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Answer:

Approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].

Explanation:

The speed of light is [tex]c \approx 3.00\times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].

Note that the standard unit of energy, joule, is a derived unit. In terms of the standard base units:

[tex]\begin{aligned}1\; {\rm J} &= (1\; {\rm N})\, (1\; {\rm m}) \\ &= (1\; {\rm kg \cdot m \cdot s^{-2}})\, (1\; {\rm m}) \\ &= 1\; {\rm kg \cdot m^{2} \cdot s^{-2}} \end{aligned}[/tex].

Apply unit conversion and ensure that the unit of mass is in the standard unit kilogram ([tex]{\rm kg}[/tex]):

[tex]\begin{aligned} m &= 1\; {\rm g} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} &= 10^{-3}\; {\rm kg}\end{aligned}[/tex].

Apply the equation [tex]E = m\, c^{2}[/tex] to find the energy equivalent to [tex]m = 10^{-3}\; {\rm kg}[/tex] of matter:

[tex]\begin{aligned}E &= m\, c^{2} \\ &= (10^{-3}\; {\rm kg})\, (3.00 \times 10^{8}\; {\rm m\cdot s^{-1}})^{2} \\ &= 9.00\times 10^{13}\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 9.00\times 10^{13}\; {\rm J} \end{aligned}[/tex].

Divide energy [tex]E[/tex] by power [tex]P[/tex] to find the duration [tex]t[/tex] of the power consumption:

[tex]\begin{aligned} t &= \frac{E}{P} \\ &\approx \frac{9.00 \times 10^{13}\; {\rm J}}{200\; {\rm J \cdot s^{-1}}} \\ &= 4.50 \times 10^{11}\; {\rm s}\end{aligned}[/tex].

In other words, the energy equivalent to [tex]1\; {\rm g}[/tex] of matter could power this fridge for approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].

If thrown with the same initial speed, the object will go six times higher on the Moon than Earth.

Velocity is the pace and direction of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In those other words, velocity is a vector, whereas speed is a scalar quantity. 

Any time an object moving in a horizontal path experiences an acceleration, it is either speeding up, slowing, or spinning around because acceleration is described as any change in velocity over time.

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The kinetic energy of the toy car after it has experienced the force is: 16 Joules

The kinetic energy formula and the procedure we will use is:

K.E. = 1/2 * m * v²

Where:

Information of the problem:

Applying kinetic energy formula we get:

K.E. = 1/2 * m * v²

K.E. = 1/2 * 2 kg (4 m/s)²

K.E. = 1/2 * 2 kg * 16 m²/s²

K.E. = 1/2 * 32 kg *m²/s²

K.E. =  16 kg*m²/s²

K.E. =  16 Joules

It is the energy possessed by a body due to its relative motion. It is usually expressed in Joules (J).

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With the use of formulas, it will take time 4.25 seconds for the object to reach the speed 41.65 m/s when dropped.

Speed is the distance travelled per time taken. It is a scalar quantity and it is measured in m/s

If an object is dropped and reached 41.65 m/s in its fall, Let us first know the height at which it was dropped by using the formula

v² = u² + 2as

Since the object was dropped, u = 0

41.65² = 0 + 2 × 9.8 × H

1734.72 = 19.6H

H = 1734.72/19.6

H = 88.51 m

To know how long it takes to reach this speed, let us use this formula

H = ut + 1/2gt²

where u = 0

88.51 = 1/2 × 9.8 × t²

88.51 = 4.9t²

t² = 88.51/4.9

t² = 18.06

t = √18.06

t = 4.25 s

Therefore, it takes 4.25 seconds of time to reach this speed.

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When the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).

v = √ G M / r

v = Orbital velocity

G = Gravitational constant

M = Mass of the celestial body

r = Radius of the celestial body

Rearranging for r,

√ r = √ ( G M ) / v

Squaring on both sides,

r = G M / v²

If the velocity of Earth is doubled,

v' = 2v

r' = G M / v'²

r' = G M / ( 2 v )²

r' = G M / 4 v²

r' = r / 4

So the radius of orbit of Earth becomes one-fourth its initial radius.

Therefore, when the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).

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No, law of conservation of energy is not applicable to open systems.

Law of conservation of energy states that energy present anywhere can neither be created nor be destroyed by any means, it can only be converted from one form of energy to other form of energy. It means total energy of an isolated system remains same.

An open system is a system that can exchange energy and matter from the surroundings. The flow of energy takes places in an open system. Therefore, the law of conservation does not apply to an open system as it can lose or gain energy, hence its total energy will not be constant and will violate law of conservation of energy.

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The information given is insufficient to compare the specific heat of the objects.

The specific heat capacity, commonly known as the specific heat capacity or cp in thermodynamics, is the product of the heat capacity of a sample of a substance and its mass. Informally, it is the quantity of heat that has to be added to a substance's mass in order to raise its temperature by a given amount. J kg 1 K, or specific heat capacity, is the SI unit for temperature. The specific heat capacity of water, for instance, is 4184 J kg 1 K1, or the amount of energy needed to elevate 1 kilogram of water by 1 K in temperature.

For each state of matter, specific heat capacity differs and frequently fluctuates with temperature.

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The velocity with which the collar strikes end B is 2.32 m/s.

How to calculate the work done by external forces on a body?
We conclude from the work energy theorem that any work performed on a body results in a change in total energy.

Given, mass of the collar = m = 0.5 kg
Therefore, effective weight of the collar = m*g = (0.5)*(9.81) = 4.905 N
Force acting on the collar = 5 N
We know, work done by external forces equates to the change in kinetic energy of the body.
Thus, ΔU = T ⇒ 0.5 * 0.5 * (v²-0) = 0.2[5 cos(30°) - 5 sin(30°) + 4.905)
⇒ v² = 5.39 m²/s² ⇒ v = 2.32 m/s.
Therefore, the velocity with which the collar strikes end B when acted upon by the 5N force is 2.32 m/s.

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The equivalent power of coal transported in a mile long train containing 120 cars, each holding 110 tons of coal travelling at 60 mph is 6.04 * 10e12 J

P = E / t

P = Power

E = Energy

t = Time

Distance of train = 1 mile

Number of cars in the train = 120

Tons of coal in 1 car = 110 tons

Velocity of train = 60 mph

Energy of one ton coal = 2.8×10e10 J

Total coal = 120 * 110

Total coal = 13200 tons

Total energy of coal = 13200 * 2.8×10e10

Total energy of coal = 369.6 * 10e12 J

v = d / t

v = Velocity

d = Distance

t = Time

t = d / v

t = 1 / 60

t = 0.017 h

t = 61.2 s

P = ( 369.6 * 10e12 ) / 61.2

P = 6.04 * 10e12 J

P = 6.04 pJ

Therefore, the equivalent power of coal is 6.04 * 10e12 J

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The spring constant approximately is 1153 N/m.

When an 8 kg fish is suspended in the spring, its new length is 16.8 cm.

The details provided are

The spring's length is 10.0 cm (L1).

Fish mass, m = 4 kg

L2, the spring's final length, is 13.4 cm

The spring's extension is determined by the formula:

x = L2 - L1 x = 13.4 cm - 10.0 cm x = 3.4 cm

The following formula is used to get the spring's spring constant;

F = kx

mg = kx

k = mg/x = 4 * 9.8/0.034 = 1,152.94M/m

The new spring extension when an 8 kg fish is hung on it;

x = mg/k = 8 * 9.8/1152.94 = 0.068m = 6.8cm

6.8 cm + 10 cm = 16.8 cm is the spring's new length.

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By using internal energy, the heat transferred to the air until its volume doubles is 5570.69 joule.

We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as

ΔU = Q - W

where ΔU is the change in internal energy, Q is heat transferred and W is work done.

From the question above, we know that

m = 6 kg

P1 = 200 kPa

T1 = 298 K

P2 = 400 KPa

The internal energy should be

ΔU = Q - W

m(U2 - U1) = Q2 - W2

at the second state the work is zero

m(U2 - U1) = Q2

Assume constant specific heats

Q2 = m . Cv (T2 - T1)

Using the ideal gas

P1/T1 = P2/T2

200/298 = 400/T2

T2 = 596 K

Q2 = m . C . (T2-T1)

Q2 = 6 . 3.1156 . (596-298)

Q2 = 5570.69 joule

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Answer:

The first two answers are true.

Since F = M a and there is no acceleration there is no net force acting on the puck.

A jack is a heavy-duty cylinder with a screw mechanism.

The mechanical advantage is the number of times a machine multiplies the effort force. The longer the distance over which the effort force is applied, the greater the mechanical advantage of the machine.

Friction is the force that resists motion when the surface of one object comes into contact with the surface of another.

The common principle of all screws is that a rotating helix can cause linear motion.

In a third-class lever, the effort force lies between the resistance force and the fulcrum. Some kinds of garden tools are examples of third-class levers.

for example, a pair of tweezers, a hammer, or the jaw. The arm of effort is smaller than the arm of the load.

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The torque experienced by a magnetic dipole moment M placed with its axis at angle theta with a uniform magnetic field B is τ = MB sin θ

Torque = Force * Perpendicular distance

F = m * B

F = Force

m = Magnetic pole strength

B = Magnetic field

τ = Torque

τ = m * B * 2 * l * sin θ

Magnetic dipole moment, M = 2 * m * l

τ = ( 2 * m * l ) * B * sin θ

τ = M B sin θ

Therefore, the torque experienced by a magnetic dipole moment M placed with its axis at angle theta with a uniform magnetic field B is τ = MB sin θ

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The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is proportional to its energy by the equation E = h v or E=hnu

so

Radiation with a wavelength of 8.1 X 10^-8 m has the highest energy

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Answer:

[tex]0\; {\rm J}[/tex].

Explanation:

The speed of an object is a scalar quantity and is independent of the direction in which the object is moving.

The kinetic energy of an object depends only on the mass and speed of this object. If an object of mass [tex]m[/tex] is moving at a speed of [tex]v[/tex], the kinetic energy of this object will be [tex](1/2)\, m\, v^{2}[/tex].

As a result, as long as the speed of the object stays unchanged, changes in the direction of motion of the object will not affect the kinetic energy of the object.

In this question, the speed of this ball was initially [tex]1.72\; {\rm m\cdot s^{-1}}[/tex]. The kinetic energy of this object was initially [tex](1/2)\, (0.140\; {\rm kg})\, (1.72\; {\rm m\cdot s^{-1}})^{2} \approx 0.207\; {\rm J}[/tex].

The speed of this ball stays the same after the ball bounces back from the wall: [tex]1.72\; {\rm m\cdot s^{-1}}\![/tex]. As a result, the kinetic energy of this object would still be [tex](1/2)\, (0.140\; {\rm kg})\, (1.72\; {\rm m\cdot s^{-1}})^{2} \approx 0.207\; {\rm J}[/tex].

As a result, the change in the kinetic energy of this object would be [tex]0.207\; {\rm J} - 0.207\; {\rm J} = 0\; {\rm J}[/tex].

The horizontal velocity (v) of the arrow when it left the bow is 39.1 m/s.

The time of motion of an object is the time taken for the object to travel from its initial position to the final position.

The time taken for the arrow to travel down the given height is calculated as follows;

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 9.5 / 9.8)

t = 1.39 seconds

The velocity (v) of the arrow when it left the bow is calculated as follows;

X = Vₓt

where;

Vₓ = X/t

Vₓ = (54.3 m) / (1.39 s)

Vₓ = 39.1 m/s

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The magnitude of the acceleration a of the astronaut during the throw is 0.2 m/s².

What is astronaut?

An astronaut is a person who has been prepared, outfitted, and sent into space as part of a human spaceflight program to serve as a commander or crew member. The phrase is occasionally used to refer to anyone who travels into space, including scientists, politicians, journalists, and tourists, despite the fact that it is typically designated for professional space travelers.

According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resulting force and the resultant force.

∑F = m. a

where, F = force, m = mass, a = acceleration of astronaut.
As per the information given in the question,

F = 16 N

M = 80 kg

putting these value in the equation,

16 = 80a

a = 16/80

a = 0.2 m/s²

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When the coordinate increases at a rate of units per second, the rate of change of the distance from the particle to the origin at this instant would be 0.3 units per second.

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Answer:

D= 300 miles

t= 6 hours

Speed = [tex]\frac{300}{6}[/tex] = 50 miles/h

The speed of the car is 50miles/h.

[tex]\frac{50}{3}[/tex] * 5 km/h

= 83.34 km/h

The speed of the car is 83.34 km/h.

Explanation: The answer has been given in both miles per hour and kilometer per hour.