: The following five diagrams show pairs of astronomical objects that are all separated by the same distance d. Assume the asteroids are all identical and relatively small, just a few kilometers across. Considering only the two objects shown in each pair, rank the strength, from strongest to weakest, of the gravitational force acting on the asteroid on the left. Reset Help d d asteroid asteroid asteroid hydrogen atom asteroid Moon asteroid Sun d asteroid Earth

Answer:

This is because of friction and heat lost.

Explanation:

A group of people pulling up on by pulley is way easier than by pulling directly because a pulley system is a freight lift system that allows objects to be hoisted to higher floors with less force. The pulley mechanism is used for Wells to hoist the bucket out of the well. In order to operate, certain forms of gym equipment use pulleys. In order to lift and position heavy goods, building pulleys are used.

A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. The supporting shell is known as a block, and the pulley may also be referred to as a sheave or a pulley wheel when it is supported by a frame or shell but does not transmit power to a shaft. For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the drive component of a pulley system. It is example of  simple machines.

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Answer:

Explanation:

Find the diagram attached for the schematic diagram of motion of the cart. The displacement of the cart is the length AD.

To get the length AD, we will apply Pythagoras theorem on ΔAED.

According to the theorem:

AD² = AE²+ED²

AD² = 20²+15²

AD² = 400+225

AD² = 625

AD = √625

AD = 25.0m

Hence the shopper’s total displacement is 25.0m

the Speed reached by the bicyclist is given by, v = 26 m/s

There are mainly four types of friction: static friction, sliding friction, rolling friction, and fluid friction. Friction and normal force are directly proportional to the contacting surfaces, and it doesn't depend on the hardness of the contacting surface.

Given that,

Gravitational acceleration = 9.81 m/s²

Mass of bicyclist = 80 kg

Slope(θ) = 5°

Cross-sectional area of bicyclist = 0.35 m²

μ = coefficient of rolling friction = 0.02

t = air temperature = 20 °C

Let ρ be the density of air at 20oC = 1.2041 kg/m3

ρ = 1.2041 kg/m3

We have the balancing equation:

F₁ = F₂ + F₃

where,

F₁ = component of the weight of the bicyclist down the plane,

F₂ = frictional force up the plane, and

F₃ = air drag force up the plane.

Thus, F₃ = F₁ - F₂

sinθ = sin(5°) = 0.087

cosθ = cos(5°) = 0.996

Now we will calculate the forces,

F₁ = m g sinθ = 80 kg x 9.81 m/s2 x 0.087 = 68.227 N

F₁ = 68.227 N

F₂ = μ m g cosθ = 0.02 x 80 kg x 9.81 m/s2 x 0.996 = 15.63 N

F₂ = 15.63 N

Put the values of F1 and F2 in eqn (1) and we get:

F₃ = F1 - F2

F₃ = 68.227 - 15.63

F₃ = 52.597 N

Let v be the speed reached by a bicyclist,

From the general formula of velocity:

V = ((2 xF₃ / (ρ x CD x A))1/2

v = ((2 x F₃ / (ρ x CD x A))1/2

v = ((2 x 120.78 N / (1.2041 kg/m3 x 0.85 x 0.35))1/2 = 25.97 m/s

v = 26 m/s

Therefore, the Speed reached by the bicyclist is given by, v = 26 m/s

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Answer:

θ = 22.2

Explanation:

This is a diffraction exercise

        a sin θ = m λ

The extension of the third zero is requested (m = 3)

They indicate the wavelength  λ = 630 nm = 630 10⁻⁹ m and the width of the slit  a = 5 10⁻⁶ m

         sin  θ = m λ / a

         sin  θ = 3 630 10⁻⁹ / 5 10⁻⁶

         sin  θ = 3.78 10⁻¹ = 0.378

          θ = sin⁻¹  0.378

to better see the result let's find the angle in radians

          θ = 0.3876 rad

let's reduce to degrees

         θ = 0.3876 rad (180º /π rad)

         θ = 22.2º

Answer:

the sun

Explanation:

The sun is the source of almost all energy on Earth beacuse both plants and animal on Earth derive their energy from the sun.

The Earth is one of the planets that make up the solar system. The Sun is the center of the universe and the Earth revolves round the sun.

The source of almost all energy on Earth is from the sun. The energy from the sun is callled solar energy.

This energy from the sun can be used by the planet to manufatcure its own food. The plants are consumed by animals to provide energy their metabolic activities.

Thus, we can conclude that the sun is the source of almost all energy on Earth beacuse both plants and animal on Earth derive their energy from the sun.

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The acceleration of the car in three significant figures is 0.181 m/s².

The acceleration of the car is calculated by applying the following kinematic equation as shown below.

v² = u² + 2as

where;

The given parameters include the following;

the final velocity of the car = 2 m/s

the distance travelled by the car = 11 m

The acceleration of the car is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

a = v² / 2s

a = ( 2² ) / ( 2 x 11 )

a = 0.181 m/s²

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Answer:

Explanation:

The most likely thing that would happen is that the galaxies continue becoming more and more massive, eventually becoming part of a galaxy cluster. These are massive but cluttered parts of the universe that hold many galaxies extremely close to one another. This also leads to galaxies colliding with one another, although when this happens they usually seem to pass right through each other as if they were ghosts. This is simply due to their sheer size and distance between their bodies of mass.

Answer:

It will merge with other galaxies

Explanation:

Pearson Connexus 2023

Answer:

Electrical energy this is because when the flashlight us turned on the chemical energy stored in the battery is converted to electrical energy that flows through the wire of the flashlight

The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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The East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).

Isaac's force:

Magnitude: 255 N

Angle: 13 degrees North of East

x-component: 255*cos(13) = 245.1 N (Eastward)

y-component: 255*sin(13) = 58.1 N (Northward)

Newton's force:

Magnitude: 156 N

Angle: 34 degrees South of East

x-component: 156*cos(34) = 129.4 N (Westward)

y-component: 156*sin(34) = 86.5 N (Southward)

Now we can add the x- and y-components of the forces to find the net force:

Net force:

x-component: 245.1 N - 129.4 N = 115.7 N (Eastward)

y-component: 58.1 N - 86.5 N = -28.4 N (Southward)

The net force has an Eastward component of 115.7 N. Therefore, the East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).

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Answer: Density = 6071.428571 kg/m³

Explanation: Given that mass m=17 kg

volume displaced v=2.8L

We know that

density = mass/volume

Here density=17kg/2.8L

Also 1L=1000m³ Hence

density=17kg/2.8×10⁻³m³

           =6071.428571 kg/m³

Answer:

22.87 m/s

Explanation:

Since the value of the height at which the divers jump off the cliff is not given,

Assuming that the height of the cliff above the ocean at which the divers jump = 26.7 m

Then;

The speed of the divers when they hit the ocean water can be determined by using the formula:

\(v^2 = 2gh \\ \\ v= \sqrt{2gh} \\ \\ v = \sqrt{2 \times 9.8 \times (26.7)} \\ \\ v \simeq 22.87 \ m /s\)

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

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The ratio of the distance from Saturn to the Earth to the distance from the Earth to the Sun is approximately 9.49, indicating that the average distance from Saturn to the Earth is about 9.49 times greater than the average distance from the Earth to the Sun.

To calculate the ratio of the distance from Saturn to the Earth to the distance from the Earth to the Sun, we first need to find the average distances between each of these celestial bodies. The average distance from the Earth to the Sun is approximately 93 million miles (149.6 million kilometers), while the average distance from Saturn to the Earth is about 886 million miles (1.4 billion kilometers).

The ratio of these distances can be expressed as:

(distance from Saturn to Earth) / (distance from Earth to Sun) = (886 million miles) / (93 million miles) = 9.49

This ratio can also be expressed in scientific notation as \(9.49 * 10^0\). To express the ratio in standard notation, the ratio can be rounded to 9.49 (rounded to the hundredths place).

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Answer:

54.0 x0.1=5.4 x0.03=0.162

kinetic force

If a contestant in a winter games event pushes a 54.0 kg block of ice across a frozen lake. The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03, then the minimum force F he must exert to get the block moving would be 5.2974 Nwrons.

Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.

As given in the problem, If a contestant in a winter games event pushes a 54.0 kg block of ice across a frozen lake. The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03,

The force required to get the block moving = μMg

                                                                          = 0.01×54×9.81

                                                                         = 5.2974 Newtons

Thus, the minimum force required to move the block would be 5.2974 Newtons.

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The magnitude of the resulting angular acceleration about the pivot point is approximately 0.0021 rad/s^2.

To solve this problem, we need to use the equation for the torque on a rigid body:

τ = Iα

where τ is the torque, I is the moment of inertia, and α is the angular acceleration. We can also use the fact that the torque is given by:

τ = r × F

where r is the vector from the pivot point to the point of application of the force, and F is the force. The vector cross product r × F gives the torque about the pivot point.

First, we need to find the vector r. Since the force is acting at an angle of 95° to the horizontal, the vertical component of the force is given by:

Fy = F sin(95°) = 1.5 sin(95°) ≈ 0.15 N

The horizontal component of the force is given by:

Fx = F cos(95°) = 1.5 cos(95°) ≈ 0.04 N

The vector r points vertically downward from the pivot point and has a magnitude equal to half the length of the rod:

|r| = 0.5(1.9 m) = 0.95 m

Therefore, the vector r is given by:

r = -0.95j

where j is the unit vector in the vertical direction.

The torque about the pivot point is given by:

τ = r × F = (-0.95j) × (0.04i + 0.15j) = -0.15k

where i is the unit vector in the horizontal direction and k is the unit vector in the direction perpendicular to the plane of the rod and pointing out of the page.

Substituting the moment of inertia and torque into the equation for angular acceleration, we have:

α = τ/I = (-0.15k)/(930.02/12) ≈ -0.0021 rad/s^2

Therefore, the magnitude of the resulting angular acceleration about the pivot point is approximately 0.0021 rad/s^2.

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Answer:

volume liquid

Explanation:

Explanation:

Ethics, also called moral philosophy, the discipline concerned with what is morally good and bad and morally right and wrong. The term is also applied to any system or theory of moral values or principles. Its subject consists of the fundamental issues of practical decision making, and its major concerns include the nature of ultimate value and the standards by which human actions can be judged right or wrong.

hope it helps!

In physics, crystalline substances refer to materials that possess a well-defined, ordered atomic or molecular structure.

These substances are characterized by the regular arrangement of their constituent particles, forming a three-dimensional repeating pattern called a crystal lattice. The ordered structure of crystalline materials is responsible for many of their unique physical properties. The arrangement of atoms or molecules in a crystal lattice is determined by the chemical bonds between them.

The atoms or molecules are closely packed together in a repeating pattern, which gives rise to the characteristic shape of crystals with flat, smooth surfaces and distinct angles between them. Examples of crystalline substances include salt (sodium chloride), diamonds, quartz, and various metals. Crystalline substances exhibit several important properties due to their ordered structure.

One such property is anisotropy, which means that the physical properties of the material can vary depending on the direction in which they are measured. For example, the electrical conductivity or thermal conductivity of a crystalline substance may differ along different crystallographic directions.

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The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

The base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole

The unit of energy is Joules which is equivalent in mks unit as Kg m²s⁻²

Thus, The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

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Answer:

B

Explanation:

The acceleration of the skateboarder is 0.97m/s² to the right.

Given that the mass of the skateboard and the person is 72.3 kg.

Air resistance is 7.20N

Applied force is 77.40N

   According to Newton's Second law of motion, there will be the equal change in momentum per change in time.

Formula is F = ma

Here, we have to find acceleration, so that a = F ÷ m

Applied force - Air Resistance = 77.40 - 7.20 = 70.2.

Then, a = 70.2 ÷ 72.3

Thus, a = 0.97 m/s² to the right.

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Answer:(vi^2+d)^2=vf+a^2+2t

Explanation:

The maximum height reached by the frog is 0.185 m.

The maximum height reached by the frog is calculated by applying the following kinematic equation.

H = u² sin²θ / 2g

where;

H = (4.5²  x  (sin 25)²) / (2 x 9.8)

H = 0.185 m

Thus, the maximum height reached by the frog depends on the initial velocity and angle of the frog's projection.

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the spring stiffness of the spring for the safe to be hit will be 353 KN-m

A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces. In other terms, it indicates a spring's stiffness and the amount of stretching or compression it can withstand.

BRIEFING:-

The spring's kinetic energy is equivalent to the work the free-falling safe does on it.

\(w_{1}\)= \(\frac{1}{2}\)k\(x^{2}\)

   The spring's potential energy is equal to the work done on the safety by gravity:

\(w_{2}\)= mgh

 = 1200*9.81*(2+0.4)

 = 1200*9.81*2.4

 =28252.8N-m

\(w_{1} =w_{2}\)

\(\frac{1}{2}\)k\(x^{2}\)=mgh

\(\frac{1}{2}\)k\(0.4^{2}\)=28252.8

k=\(\frac{28252*2}{0.4^{2} }\)

k=353150N-m

k=353KN-m

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To calculate T(Su 90), we use the fact that T is linear, meaning it respects and final answer is T(_9v) = -9*(-1,3) = (-45, 27).

A scalar is a single quantity that has magnitude but no direction. It is typically represented by a real number and is used to measure the magnitude of a physical or mathematical quantity. Examples of scalars include speed, temperature, mass, energy, and volume. Scalars are contrasted with vectors, which have both magnitude and direction.

T(Su) = (25, 5)

T(_9v) = (-45, 27)

T(Su 90) = (-225, -45) with explanation:

To calculate T(Su), we use the fact that T is linear, meaning it respects the distributive, associative, and scalar multiplication properties. Therefore, we can break down the expression into its constituent parts, T(S*u), which can be written as: T(S) * T(u).

Since S is a scalar (90) and u is a vector (5,2), we can calculate T(S) as 90*T(u) and T(u) as (2,1). Therefore, T(S*u) = 90*(2,1) = (180, 90).

To calculate T(_9v), we use the same principle and break down the expression into its constituent parts, T(_9)*T(v). Since _9 is a scalar and v is a vector (1,3), we can calculate T(_9) as -9*T(v) and T(v) as (-1,3). Therefore, T(_9v) = -9*(-1,3) = (-45, 27).

Finally, to calculate T(Su 90), we use the fact that T is linear, meaning it respects.

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Answer:

Explanation:

The electron with a smaller mass will accelerate faster than the proton as the force is the same.

Charge on electron = Charge on proton = 1.6*10^-19C

Distance between the two electrons = 1.5*10^-10m

The Electric force between two electrons is given by :

k*Q1*Q2/d^2, where k is the Coulombic constant = 9*10^9

= (9*10^9)*1.6*10^-19*1.6*10^-19/(1.5*10^-10)^2

= 1.024*10^-8N

Electron acceleration = Force/mass

= 1.024*10^-8/9.1x10^-31

= 1.125*10^22 m/s^2

Answer:

Explanation:

electron will accelerate faster cuz' its lighter

charge on electron n proton = 1.6*10^-19C

coulombic force bet electron n proton

= k*q^2/d^2 where k is the Coulombic constant = 9*10^9

= (9*10^9)*(1.6*10^-19)^2/(1.5*10^-10)^2

= 1.02*10^(-8)N

force = mass*acceleration

e- mass: 9.1*10^(-31)

acceleration = 1.02*10^(-8)/(9.1*10^(-31))

= 1.12*10^(22) m/s^2