A baseball has a mass of 0.15 kg. It is thrown by a major league pitcher at a speed of 45 m/s (100 mph
What is the momentum of the baseball?
rage for

Answer:

Let vector C(x,y) be A-B.

Explanation:

Now the direction is given by: tan-1(y/x)

Use the correct angle on the basis in which quadrant the vector C lies.

Magnitude = sqrt(x^2 + y^2)

The acceleration is 4.5 m/s^2 towards the west. Option B

We have to in this case use the equation of the motion that have been uniformly accelerated so as to be able to find the acceleration which is the rate of the change of the velocity of the object with time.

Acceleration = Change in the velocity / Time

Initial velocity = 65km/h or 18.1 m/s

Final velocity = 0 m/s

Time taken = 4.0 s

Then we have that;

Acceleration =  0 - 18.1/4

= -4.5 m/s^2

The acceleration of the object is 4.5 m/s^2 towards the west as shown above.

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Answer:

Explanation:

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The answers include the following;

This is referred to as the fact or condition of knowing something with familiarity gained through experience or association.

Descartes firmly believed that true knowledge can only be through the methodical application of reason.

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When the mass of objects is changed while the distance between them is kept constant, the gravitational force between them is directly proportional to the mass of the objects.

Gravitational force is a type of force that exists between any two objects that have mass. It is the force of attraction between objects due to their masses and the distance between them. The strength of the gravitational force between two objects depends on their masses and the distance between them.

The gravitational force was first described by Sir Isaac Newton in his law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the greater the mass of the objects and the closer they are to each other, the stronger the gravitational force between them will be.

This relationship is described by Newton's law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.

If the mass of one of the objects is doubled, the gravitational force between them will also double. If the mass of one of the objects is increased by a factor of 10, the gravitational force between them will increase by a factor of 10. Similarly, if the mass of one of the objects is decreased by a factor of 2, the gravitational force between them will decrease by a factor of 2.

In general, the greater the mass of the objects, the greater the gravitational force between them will be. This means that objects with greater mass will exert a stronger gravitational pull on other objects, causing them to be drawn closer together.

It's important to note that the distance between the objects also affects the magnitude of the gravitational force. If the distance between the objects is increased, the gravitational force between them will decrease, and vice versa. However, if the distance is kept constant, as in this case, the gravitational force will be directly proportional to the mass of the objects.

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The forces that are acting are;

a) 270 N

b) - 270 N

c) -100 N

d) -370 N

What is the normal force?

We have to note that the normal force is the force that is exerted by the box on the object as we can see in the question that have been written. We have to note that from the Newton third law, action and reaction are equal and opposite.

a) The weight of the box can be obtained as = W = mg =  27.0 kg  * 10 m/s^2

= 270 N

b) The normal force that is exerted on the box by the table is equal to the weight of the box but in the opposite direction thus it is -270 N.

c) The 27 -Kg box would exert a normal force of - 100N on the 10 Kg box

d) The table would now exert a normal force of -(27 + 10) * 10 m/s^2

= -370 N

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The efficiency of the machine is 45%

Efficiency is a measure of how well a system, process, or machine uses resources to produce outputs compared to the inputs used. It indicates the extent to which time, effort, and resources are used effectively to achieve desired goals and minimize waste. The efficiency of a system can be improved by reducing inputs, increasing outputs, or a combination of both.

The efficiency is;

Output power/ Input power * 100/1

= 9/20 * 100/1

= 45%

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The dimensional formula of  physical quantity a is  [L]/[T²]. Hence, option (c) is correct.

The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.

The relation between physical quantities a, b and c is:

a = b²/c

The dimensional formula of b is = [L]/[T] = [LT⁻¹]

The dimensional formula of c is = [L]

Hence, the dimensional formula of a is  = [LT⁻¹]²/[L]

= [L²T⁻²L⁻¹]

= [LT⁻²]

= [L]/[T²]

The dimensional formula of a is [L]/[T²]. Hence, option (c) is correct.

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The position of the yacht 29 seconds after it passes you is 290.87 m.

The acceleration of the yatch is calculated by applying Newton's second law of motion as shown below.

F = ma

a = F / m

where;

a = ( 26 N ) / ( 188 kg )

a = 0.14 m/s²

The distance travelled after 29 seconds is calculated as follows;

s = vt + ¹/₂at²

where;

s = ( 8 m/s x 29 s )  +   ¹/₂(0.14)(29)²

s = 290.87 m

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The component of the force is  260N

The components of force are magnitude and direction. It is the effective magnitude of the force that we can see to be acting in a particular direction as we have in the question that is before us here.

We know that the ground would be the vertical axis as it says that it is perpendicular thus we are going to have that;

The component is Fsin∅

That is; 300 sin60

= 260N

Thus the force that is perpendicular is going to have a component of 260 N.

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Missing parts;

The following diagram shows a person exerting a

300.-newton force on the handle of a shovel that

makes an angle of 60. with the horizontal ground.

Determine the magnitude of the component of the

force perpendicular to the ground.

The lithium would exist in the liquid state of matter.

In physics, a state of matter is one of the distinct forms in which matter can exist.

Four states of matter are observable in everyday life : solid, liquid, gas and plasma.

Given is that a piece of lithium goes from 65 °C to 200 °C.

The lithium would exist in the liquid state of matter.

Refer to the table below.

Symbol        Name           Melting             Boiling               Density

                                        Point (ºC)          Point(ºC)       (g/cm3) (at 293 K)

Li                 Lithium         180.54               1347                   0.534

Therefore, the lithium would exist in the liquid state of matter.

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The velocity of the balls if the collision is perfectly elastic is -0.78 m/s and v₂ = 1.98 m/s.

A state where there is no net loss in the kinetic energy in the system of two objects as the result of the collision is called as an elastic collision.

Inelastic collisions is a type of collision where there is a loss of kinetic energy.

Using the law of conservation of momentum:

m₁u₁ + m₂u₂ = m₁v₁ + m₂ v₂ (u₂ = 0)

5 x 2 = 5v₁ + 7v₂

10 = 5v₁ + 7v₂

v₂ = (10 - 5v₁)/7

Elastic collision so kinetic energy conserved:

1/2 x 5 x (2)²  = 1/2 (5v₁² + 7v₂²)

20 = 5v₁² + 7((10 - 5v₁)/7)²

140 = 35v₁² + 5v₁² + 100 - 20v₁

40v₁² - 20v₁ - 40 = 0

v₁ = -0.78 m/s

The first ball is lighter so its velocity will change direction due to collision.

v₁ = -0.78 m/s

10 = 5(-0.78) + 7v₂

v₂ = 1.98 m/s

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A metal ion (X) with a charge of 3+ is attracted to a non metal ion (Z) with a compound charge of 4-.  The formula of resulting compound is X₄Z₃.

A chemical compound is a substance made of numerous similar molecules (or molecular entities) joined by chemical bonds and comprising atoms from various chemical elements.

Therefore, a molecule made up of only one type of atom is not a compound. Chemical reactions, which may entail interactions with other molecules, can change a compound into a distinct substance. Atomic bonds may be shattered or new ones created during this process.

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The normal force acting on an astronaut of mass 87.4 kg is -3092.56 N.

The normal force acting on an object is equal to its weight minus the gravitational force acting on it. On Earth's surface, the weight of an object can be calculated as: W = m x g

Where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²).

The weight of the astronaut with a mass of 87.4 kg is:

W = 87.4 kg x 9.8 m/s² = 856.92 N

Since the rocket is accelerating straight up at 45.2 m/s², the gravitational force acting on the astronaut decreases. The net force acting on the astronaut is equal to the normal force.

F = m x a = 87.4 kg * 45.2 m/s² = 3949.48 N

The normal force can be calculated:

N = W - F = 856.92 N - 3949.48 N = -3092.56 N

So the normal force acting on the astronaut is -3092.56 N, directed upward.

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The length of the path traveled between two points is called distance.

Distance physically can refer to several different things, namely:

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Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second.

The kinetic energy is measured in kilogram-meters squared per second squared.

By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.

Kinetic energy (KE) is defined as the product of the mass of an item multiplied by the square of its velocity. Consider this: The kinetic energy of an object with a mass of 10 kilograms (m = 10 kg) travelling at a speed of 5 m/s (v = 5 m/s) is equal to 125 joules, or (1/2 * 10 kg) * 5 m/s2.

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Answer: 70 meters per second = 25550 kilometers per year

70 x 365 (1y) = 25550 (km/y)

The engineer should measure the radius of the ball bearings before the pivot has been used.

Given is that an engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.

As an indication of the amount of friction in the pivot, the engineer should measure the radius of the ball bearings before the pivot has been used.

Therefore, the engineer should measure the radius of the ball bearings before the pivot has been used.

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144 is the power if the current is 3.0 ampere.

Average power, or when tdelta, t in the equation for power is very large, is the power measured over a lengthy period of time. Finding the area under the power vs. time curve, which represents the total work completed, and dividing by the total time are two methods for calculating this.

Although calculus is typically the finest tool for this, it is frequently possible to estimate it very correctly only using geometry. Peak power is the highest value that an instantaneous amount of power can have in a given system over an extended period of time.

Systems that have the capacity to provide a peak power that is significantly greater than their rated average power include stereo systems and car engines.

Therefore, 144 is the power if the current is 3.0 ampere.

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Find the duration of time that the stationary observer is measuring. In the formula for the Lorentz factor, = (1 - v2/c2), replace v with the traveling viewer's velocity. The time determined by moving observer is the outcome.

It is theoretically conceivable for passenger in a quickly vehicle to travel into the future inside a brief amount of their own time because to time dilation. When traveling at high enough speeds, the impact is dramatic. For instance, ten years on Earth could be equivalent to one year of travel.

The difference here between elapsed times of two occurrences measured by either traveling relative to one another or by being placed away from gravity mass or masses is referred to as time dilation in the theory of relativity.

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The equal and the opposite force is the person's force of gravity pulls up on the elevator. Option A

We know that the elevator is the kind of device that can be used when we are going up or down a high rise building. We have to note that the elevator that we talking about will also work based on the law of Newton.

We have to note that for every force there is an equal and an opposite force and the same is true when you are using the elevator to move up or down as we can see here.

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Answer:

Explanation:

rubber ball, glass jar, motor oil, and tree

Following are the answers:

1. To calculate the pressure exerted by the water column on the surface of the mercury, we can use the formula:

Pressure = force/area

The force is the weight of the water column and the area is the cross-sectional area of the container.

The weight of the water column is given by the mass of the water times the acceleration due to gravity:

mass = density x volume

volume = area x height

So, mass = density x area x height = 1000 kg/m^3 x pi x (0.025 m)^2 x 0.25 m = 0.196 kg

Weight = mass x acceleration due to gravity =[tex]0.196 kg * 9.8 m/s^2[/tex] = 1.92 N

The cross-sectional area of the container is pi x (0.025 m)^2 =[tex]0.196 m^2.[/tex]

So, Pressure = force/area = [tex]1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 Pa

2. To calculate the density of the oil, we can use the formula:

density = mass/volume

Since the height of the oil column is 0.92 m and the cross-sectional area of the container is 0.196 m^2, the volume of the oil column is 0.196 m^2 x 0.92 m = 0.18012 m^3.

We do not know the mass of the oil, but we can calculate it using the pressure exerted by the oil column on the surface of the mercury:

Pressure = force/area = density x acceleration due to gravity x height

So, density = Pressure/ (acceleration due to gravity x height) = 9.79 N/m^2 / (9.8 m/s^2 x 0.92 m) = 1060 kg/m^3.

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The electric current flows through the circuit is  15 amp.

The resistance of the circuit is 8 ohm.

The rate at which electrical energy is carried over an electric circuit is known as electric power. The watt, or one joule per second, is the SI unit of power. Watts are subject to the same standard prefixes as other SI units: kilowatts, megawatts, and gigawatts are used.

The electric current flows through the circuit is = (1800 ÷ 120) amp

= 15 amp.

The resistance of the circuit is = (120 ÷ 15) ohm

= 8 ohm.

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The correct food chain possible in a prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.

Food chain is the flow of energy from one level of source to the other. The prime member in the food chain are plants. Plants are producing energy using photosynthesis.

Only 10 % of energy is transferring to each layer. Remaining are lost to the surroundings. The food chain in each ecosystem is different from the others.

From the given table it is clear among the given choices the possible food chain in the prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.

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Hold the measurement target between the screw gauge's anvil and spindle while applying light pressure. the main size reading of the a circular scale just before zero.

Vernier calipers can be used for alike external and internal measurements, while screw gauges can only be used for external measurements. A vernier caliper has a minimum count of 0.001 cm while a screw gauge has a minimum count of 0.01 cm.

This metre ruler, commonly known as a metre stick, is used to measure short distances and lengths up with one metre. It is a measuring tool used to determine distances and rule straight lines in engineering drawings, geometry, engineering, printing, and construction.

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An adiabatic process is a thermodynamic process in which there is no heat transfer from the system to the environment; instead, the heat is maintained constant.

Being or having to do with a system of atoms, molecules, colloidal particles, or bigger things that is studied as an isolated group in terms of thermodynamic processes. thermodynamically.

Washing machines, refrigerators, and air conditioners are a few examples of thermodynamic systems. The refrigerant in an air conditioner circulates inside a closed system, changing its pressure at various places to facilitate the transmission of heat.

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When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.

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