A mother has four times the mass of her young son. Both are running with the same kinetic energy. What is the ratio of their speeds?Kinetic energyThe kinetic energy K of a body with mass m and speed v isK=12 mv^2

The 25 cars (C) represent those traveling between 40 and 48 miles per hour.

A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. These are employed when displaying the distribution of data points across a chosen metric. These graphs show the ranges of the measured variables.

A box plot displays 25% of the data in each section. In this range, 25% of the data is displayed. Therefore, 100 individuals are included for each component. In order to determine the number of cars present between the 40 and 48 box plot, we will multiply 100 by 25%, which is 25 cars.

Thus Option C is the right choice.

To know more about box plots, refer to this link:

https://brainly.com/question/28942111

#SPJ4

The type of acceleration used to maintain slow forward motion or allow speed to increase gradually is called constant acceleration.

This type of acceleration refers to a change in velocity that occurs at a constant rate over a period of time, in other words the acceleration is uniform.

For example, a car that is accelerating from a stop to a slow, steady speed would be experiencing constant acceleration. The speedometer in the car would show a gradual increase in speed, rather than a sudden jump.

This is different from non-uniform acceleration, where the rate of change in velocity is not constant. For example, a car accelerating rapidly from a stop to a high speed would be experiencing non-uniform acceleration, as the speedometer would show a rapid increase in speed.

To know more about constant acceleration, visit:

brainly.com/question/29115726

#SPJ4

By doubling the mass and the radius, the force of gravitation would also be doubled as it is directly proportional to the mass of the interacting objects.

The more massive object will pull the other body with a stronger gravitational pull since the force of gravity is exactly proportional to the masses of the two interacting bodies. Therefore, when two things' respective masses increase, so does their gravitational pull to one another. The gravitational pull between any two objects is equal to the product of their individual masses. Hence, if the mass is doubled, the gravitational force will also get doubled.

According to the Newton's law of universal gravitation, force of gravitation is directly proportional to the masses of the two interacting bodies while it is inversely proportional the the square of the distance between them. Putting 'G' as the proportionality constant, we get that

F = Gm1m2 / r²

where, m1 and m2 are the masses of the two bodies, and r is the distance between them.

To know more about gravitational force, refer to the following link:

https://brainly.com/question/11760568

#SPJ4

An object is at rest if the location versus time graph of the object is a horizontal line.

The right answer is C.

The measurement of a change in speed called acceleration. Most of the time, but not always, acceleration indicates a change in speed. A moving item traveling in a circular path at a constant speed is still moving forward because the trajectory of its own motion is always changing.

A linear quantity called acceleration is used to represent how quickly something changes its momentum. If an object's velocity is changing, it's said to be accelerating. One kind of vector that has both magnitude and direction is velocity. The pace at which speed changes while simultaneously taking direction into account is called acceleration.

To know more about Acceleration visit:

https://brainly.com/question/12550364

#SPJ4

The velocity of the basketball player when he leaves the floor is 3.33 m/s.

The player's vertical velocity is directly related to the height he reaches while jumping. The greater the player's vertical velocity, the higher he will be able to jump. In this case, the player's vertical velocity is sufficient to carry him 0.900 m above the floor. Without this velocity, he would not be able to reach this height. Additionally, the initial velocity is dependent on the potential energy converted to kinetic energy and the distance to cover during the movement.

The following kinematic equation can be used to determine the basketball player's velocity:

v^2 = u^2 + 2as

v = √(2as) (2as)

The force and mass of the player can be used to compute the acceleration.

Assuming that the player advances vertically 0.300 m, the force is the force the player applies to the ground.

F=m x a and a=F/m

Task, W = F x d

The change in kinetic energy is equivalent to the work completed.

W = Fd = ma x d = 1/2 x m x v2 W = 1/2 x m x v2 W = a = 2 x W / m x d = 2 x v2 / d

Changing the value of an in the previous equation:

v = √(2 x 0.900 m x v^2 / 0.300 m)

v = √(6 x v^2)

v = √(6) (6) x v

v = 3.33 m/s

To know more about velocity visit:

brainly.com/question/18084516

#SPJ4

When you make several trips to unload a few heavy items from a car instead of moving them all at once, the total distance over which you exert yourself increases.

When you make multiple trips to unload heavy items from a car, you are covering the same distance multiple times, which increases the total distance over which you exert yourself.

Carrying heavy items repeatedly can cause strain on the muscles, joints, and bones, especially if not done properly, which can lead to injuries over time. It would be more efficient to move all of the items at once, as this would reduce the total distance covered and the overall amount of effort required.

This is a simple example of the principle of "work smart, not hard".

To learn more about loading items:

https://brainly.com/question/25670811

#SPJ4

Newton discovered the law of gravitation, the Newtonian synthesis and the equation for the force of gravity (All of the above)

Isaac Newton discovered the law of universal gravitation, which states that every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.

This is often represented by the equation F = G(m1m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

Newton's discovery of the law of universal gravitation marked a major breakthrough in our understanding of the motions of celestial bodies and laid the foundation for modern physics and astronomy.

To know more about law of gravitation, visit:

brainly.com/question/14502015

#SPJ4

The law of universal gravitation, the newtonian synthesis and the equation for the force of gravity according to the given choices.

According to Newton, the same force that causes an apple to fall from a tree also maintains the moon's position. The law of universal gravitation was the result of years of labour by Newton.

Gravitational force is equal to (gravitational constant times the masses of the first and second objects) / 2 multiply by (Distance between the centre of two bodies)2. Through an invisible force of attraction, the Earth draws everything toward it. The term gravitation, gravitational pull, or force of gravity is used to describe this force of attraction.

Learn more about universal gravitation here:

brainly.com/question/858421

#SPJ4

The statement that "the speed v of a wave depends on its frequency (f)" is true.

Speed(v) is the distance travelled by an object or wave in unit time. Whereas frequency(f) of a wave is the number of oscillations or number of complete cycles in one second is called frequency(f). On the other hand the distance between two consecutive trough or crest is called the wavelength(λ), in which a wave completes a cycle. The relation between the speed(v), wavelength(λ), and frequency is as follows:

v = λf

Hence we can say that velocity of a wave depends on its frequency.

To know more about frequency, here

https://brainly.com/question/5102661

#SPJ4

i. Change in angular velocity - When a net torque is applied to a rigid body, it will cause a change in the angular velocity of the body.

Torque is a measure of rotational force or rotational energy. It is defined as the product of the magnitude of the force applied to an object and the perpendicular distance from the point of application to the axis of rotation. Torque is a vector quantity, meaning it has both magnitude and direction. It is measured in units of newton-meters (Nm) or foot-pounds (ft-lbs).

ii. Rotational equilibrium - Rotational equilibrium occurs when the net torque on a rigid body is equal to zero.

iii. Constant angular velocity - A constant angular velocity is not always created when a net torque is applied to a rigid body.

iv. Constant angular momentum - A constant angular momentum is not always created when a net torque is applied to a rigid body.

To learn more about torque
https://brainly.com/question/20691242
#SPJ4

Its velocity (in m/s) just before it strikes the floor is - 5.42 m/s.

The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).

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

Given,

height = 1.50m

rebound height = 1.00m

Using the equation of motion,

v² = u² - 2as

⇒ v = - √(u² + 2(-9.81 m/s² × - 1.50m))

⇒v = - 5.42 m/s

To learn more about Velocity from given link

https://brainly.com/question/25749514

#SPJ4

The maximum speed with which the car can round this curve without slipping is 12.35 m/s.

The velocity of a body or object determines its direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is the rate of change in distance. The displacement change rate is the issue.

Maximum speed restrictions set a ceiling on possible speeds and, if followed, can lessen the disparities in vehicle speeds amongst users of the same road.

The materials being used have an impact on the coefficient of friction. For instance, rubber on the pavement has a high coefficient of friction, which prevents the materials from sliding past one another as readily as ice on steel, which has a low coefficient of friction.

Given:

μ =0.5

Radius (r) = 30.5

g = 10 m/s^2

v^2 = μrg

[tex]v=\sqrt{0.5*30.5*10}[/tex]

[tex]v=12.35m/s[/tex]

To know more about friction visit:

https://brainly.com/question/14121363

#SPJ4

Weston is practical in a particle, because particle A has less mass than particle B, particle A will accelerate more rapidly.

Friction is the barrier to motion of one thing moving relative to another. According to the International Journal of Parallel, Emergent and Distributed Systems, it is not regarded as a basic force like electromagnetic or gravity (opens in new tab). The laws governing friction were first put together by scientists in the 1400s, according to the book Soil Mechanics(opens in new tab).

However, because the interactions are so intricate, it usually takes tests to characterize the force of friction under various conditions and cannot be determined only from equations or laws. Every general frictional rule has a number of exceptions.

Weston is therefore applicable to An Particle A.

To know more about particle

https://brainly.com/question/23638407

#SPJ4

The property is unique to electromagnetic waves are that they can travel in a vacuum and they can travel on the surface of water.

Unlike mechanical waves, which need a medium to travel, electromagnetic waves can move through air or space. This indicates that electromagnetic waves are capable of passing not only through solid objects like air and rock but also through a vacuum like space.

Electromagnetic waves include those produced by radio and television signals as well as microwaves. The only thing separating them is wavelength. The distance between one wave crest and the next is known as the wavelength.

Learn more about electromagnetic waves here:

brainly.com/question/3101711

#SPJ4

The mesh current have the values i1=1, i3=2, for the given variables: R1:8 ohm R2: 2 ohm R3: 2 ohm Provided Variables R1:2 ohm R2 1 ohm R3: 1 ohnm R4: 2 ohm V1:2V  V2:1 V

The circuit

i₂ = -3A

KCL should be applied at node X id = 3+i3 from ckt Va = (i1-i2).

²\sVa = (i₁+3)

Since this is a super mesh analysis, apply EVL to loop i1, i3.

i₁ = 3ib +i₃\s=3(3+i₃) +i₃\si₁-4i₃=9

the loops 1, 3, and EVL

2(i₁-i₂)

-10+8i₃+2Va+2(i₃-i₂)=0

2i₁-2(-3)

-10+8i₃+2(i₁+3)

2+2i₃-2(-3)=0

i₁(2+4)+i₃(8+2)

-10+2+6+6=0

6i₁+10i₃+14=0

3i1+5i3=7 based on this

i₁=1\si₃= 2

Mesh Current Analysis is a method for locating the currents flowing through any closed channel in a circuit, including a loop or mesh.

Kirchhoff's Laws provide the fundamental framework for analysing any complicated electrical circuit, but there are a number of techniques to enhance this framework by employing Mesh Current Analysis or Nodal Voltage Analysis, which reduces the amount of arithmetic required.

Learn more about Mesh current here:

https://brainly.com/question/28192863

#SPJ4

The potential difference that stopped the proton is 8.75 × 10²⁴ V.

The kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.

The potential difference that stopped the proton can be found using the equation: work done = qV = kinetic energy lost, where q is the charge of the proton (1.6 x 10⁻¹⁹ C), V is the potential difference, and kinetic energy lost is the initial kinetic energy of the proton.

Since the proton is brought to rest, the final kinetic energy is 0, so the initial kinetic energy can be found by:

kinetic energy = 1/2 × m × v²

where m is the mass of the proton (1.67 x 10⁻²⁷ kg) and v is the initial speed of the proton (900,000 m/s), the kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.

The potential difference can be found by:

V = kinetic energy lost / qV = 1.4 × 10⁶ eV / 1.6 × 10⁻¹⁹ C V = 8.75×10²⁴ V.

To know more about proton, visit:

https://brainly.com/question/12535427

#SPJ4

According to the field geologist's information, the mineral is biotite. Biotite can be separated into sheets and has vitreous sheen in hand specimens. Its color ranges from dark black to brown.

Uses. The age of rocks is frequently constrained using biotite using potassium-argon dating or argon-argon dating. These techniques might only be able to determine the minimum ages of many rocks due to the ease with which argon escapes from the biotite crystal structure at high temperatures.

Numerous places in Europe, like Monzoni and Mount Vesuvius, have biotite in their lavas. It can be found in the granite of Pikes Peak, Colorado, as well as in the pegmatites of New England, Virginia, and North Carolina in the United States. Biotite is a

To know more about Biotite visit:

https://brainly.com/question/7507706

#SPJ4

Answer:

P = 2.3 W

Explanation:

power = work done/time

∴ work done = force x distance

P = (F x d)/t

F = 3.5 N

t = 3 s

d = 2 m

P = ?

P = (3.5 x 2)/3

P = 2.3 W

The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.

What do you mean by impulse?

Impulse is a measure of the change in momentum of an object, and it is given by the product of force and time for which the force is applied. Mathematically, impulse is represented as the integral of force with respect to time. The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object.

The impulse applied to the ball by the racket can be calculated using the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. The impulse is equal to the force multiplied by the time for which the force is applied.

Impulse = change in momentum = final momentum - initial momentum

The final momentum of the ball is 57g * 45m/s (mass * velocity)

The initial momentum is 0 (since the ball starts from rest)

Therefore,

Impulse = 57g * 45m/s - 0

The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.

To learn more about impulse from the given link:

https://brainly.com/question/904448

#SPJ4

Torque the weight of the water and bucket produce on the cylinder is 11.4NM

What is torque?

Torque is a measure of how much a force causes an object to rotate around an axis. It is the rotational equivalent of force. It is measured in Newton-meters (Nm).

Torque = Force x Radius

Force = Mass x Acceleration due to gravity

Torque = (23 kg x 9.81 m/s2) x 0.05 m

Torque = 11.4 Nm

Hence, Torque the weight of the water and bucket produce on the cylinder is 11.4NM

To learn more about torque

Here: https://brainly.com/question/17512177

#SPJ4

Answer:

Explanation:

The net charge of an object is equal to the number of electrons removed or added multiplied by the charge of an electron (1.6 x 10^-19 C).

Given: Q = 7.5 x 10^-11 C

To find the number of electrons removed we can use the formula :

Q = n * e

where Q is the charge, n is the number of electrons, and e is the charge of an electron

n = Q/e

Therefore, n = 7.5 x 10^-11 C / 1.6 x 10^-19 C = 4.6875 x 10^8 electrons

So, 4.6875 x 10^8 electrons have been removed from a positively charged cube with a net charge of 7.5 x 10^-11 C

After staying together, the two objects come to rest while retaining motion but losing kinetic energy. Heat is created when some of the motion's energy momentum is transformed to thermal energy.

What happens when two things clash with one another?

Each thing pushes the other when two objects come into contact. Imagine using a bat to strike a softball. The ball is pushed away by the bat when it collides with it. The bat experiences force from the ball as well.

Which two sorts of collisions are there?

Collisions might be of two different types: collisions that are inelastic: momentum is preserved, Momentum and kinetic energy are both preserved in elastic collisions.

To know more about momentum visit:

brainly.com/question/20301772

#SPJ4

The nearest star, Proxima Centauri, would be about 4.22 light-years away if the solar system were the size of a campus.

The scale of the solar system is vast and difficult to imagine. To give a sense of perspective, if the solar system were scaled down to the size of a campus, with the sun at the center of the campus, the nearest star, Proxima Centauri, would be located about 4.22 light-years away or 24.9 trillion miles. That would be equivalent to traveling around the world over 1,174,000 times. This distance is extremely large and it is hard to comprehend but this gives us an idea of how vast and empty space is. Even the closest stars to our solar system are incredibly distant, and it's hard to imagine just how far away the more distant stars and galaxies are.

To know more about Proxima Centauri on below link:

https://brainly.com/question/21107590#

#SPJ4

Moment of inertia is affected by a body's mass, how that mass is distributed within it, where its axis of rotation is located, and how far it is from that axis. Thus, all options are valid.

Moment of inertia gauges an object's resistance to variations in rotational motion. A body's resist to changes in rotation is determined by a moment of inertia from its cross-section. It depend on how far away from the center of the body each portion of the mass is.

One of the numerous mass qualities that describes an item's stability as well as the forces required to change its motion is said to be the moment of inertia. Stability is a key component in the design and manufacture of air and spacecraft in aeronautical engineering.

To know more about moment of inertia visit :

https://brainly.com/question/15246709

#SPJ4

The three experimental factors that might have contributed to the percent difference between fg and fc are radius, speed and weight.

The centripetal force holding mass m1 in a horizontal circular orbit is equal to the weight of the hanging mass. When an object is moving at a certain speed, its weight exerts a force on it that causes the required centripetal acceleration; the track exerts no force on the object at all.

The downward pull of gravity and the upward tension force are the only two forces that the hanging mass (m2) is subject to. The centripetal acceleration of an item is independent of mass; as a result, the centripetal acceleration is unaffected by changes in mass.

Learn more about speed here:

brainly.com/question/1869806

#SPJ4

This same statement expresses the fact that to the furthest item is 80 cm distant.

The combination of objects known as an object class may be characterised in by the traits that all of its members share. So all e-mail systems get some characteristics, generic e-mail, for instance, may be an object class.

The left item has travelled about 1/4 of the distance contrasted to the centre object, which means that if the centre object were to be pushed half as far as the right object, it would be pretty far away (20 cm). Consequently, add 4 to the centre object's distance.

It is 80 cm distant from the furthest item.

To know more about Object visit:

https://brainly.com/question/24445340

#SPJ4

The complete question is-

If the nearest object is 10 cm from the observer, approximately how far away is the farthest object?

________cm

The post collision velocity of the bawling ball is 2.35 m/sec, if the mass of the bowling ball is 88 kg and the mass of the pin is 0.95 kg.

The law of conservation of momentum will be used here to determine the post collision velocity of the ball.

Mass of the bowling ball, M₁ = 88 kg

Mass of the pin, M₂ = 0.95 kg

Before collision velocity of the ball, v₁ = 2.41 m/s

Let the post collision velocity of the ball = v₃

Pre-collision velocity of the pin, v₂ = 0

Post collision velocity of the pin, v₄ = 5.19 m/sec

By the law of conservation of momentum,

M₁v₁ + M₂v₂ = M₁v₃ + M₂v₄

88 × 2.41 + 0.95 × 0 = 88 × v₃ + 0.95 × 5.19

v₃ = 2.35 m/sec

To know more about velocity, here

https://brainly.com/question/18084516

#SPJ4

26 ml. of mercury have a mass of 0.35 kg. So option d is correct.

To find the volume of the mercury, we can use the relationship between mass, density, and volume, which is:

mass = density x volume

The density of mercury is 13.6g/cm^3 and its mass is 0.35 kg

so, we can rearrange the formula to:

volume = mass/density

To convert the volume to milliliters we can use the conversion factor 1cm^3 = 1 ml

So,

volume = (0.35 kg) / (13.6 g/cm^3) = (350000 g) / (13.6 g/cm^3) = 25714.28 cm^3 and since 1 cm^3 = 1ml

volume = 25714.28 ml

Thus, 26 ml. of mercury have a mass of 0.35 kg. So option d is correct.

To know more about specific gravity:

https://brainly.com/question/13258933

#SPJ4

The speed of the projectile leaving the barrel of the cannon can be calculated using the equation:v = √(2Fx/m),where F is the force applied to the projectile, x is the distance the projectile travels, and m is the mass of the projectile.Plugging in the given values we get:v = √(2*(7.97N/m)*(4.9cm) / (5.20g)),v = 15.5 m/s

Force is an influence that causes an object to change its momentum, either by changing its speed, direction, or both. It is one of the fundamental concepts in physics and is usually described as a push or pull. It can be described mathematically as a vector, and it can be measured in newtons (N). Forces are a result of interactions between two objects, and they can be contact forces, such as friction, or non-contact forces, like gravity. Forces can also be generated internally, such as when a muscle contracts. Forces can cause objects to accelerate, decelerate, bend, or change shape.

To learn more about force

https://brainly.com/question/12785175

#SPJ4

Answer:

Tension force: towards boy

Friction: away from boy

Explanation:

For this problem, assume that the boy is pulling the sled from left to right

Tension force:

The tension force is going to the right (towards the boy) because the boy is the one who is applying the tension force onto the sled for it to follow him.

Friction force:

In this case, there is kinetic friction between the ground and the sled. The kinetic friction is slowing down the sled, which is going to the right, therefore the direction of the friction force is pointing to the left (away from the boy)

If the velocity of the chair is constant, then the net force reserve on it is zero. The force you apply to keep it going is equal and opposite to the force of friction.

friction, force that oppose the sliding or rolling of one solid object over another. Frictional forces, such as the grip needed to walk without slipping, may be favorable, but they also present a great compute of opposition to motion.

About 20 percent of the engine power of automobiles is inject in overcoming frictional forces in the moving parts.

The major cause of friction between metals emerges to be the forces of attraction, known as adhesion, between the contact section of the surfaces, which are always microscopically uneven.

To know more about Friction:

https://brainly.com/question/28356847

#SPJ4