A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.43 m/s at an angle of 69.0° above the table. With what speed (in m/s) does the pea strike the ceiling 2.20 m above the table?

The soccer ball rose 5.24 meters in the air.

VO =?, max H =?, range = 25m, angle A = 40°

Projectile motion is being used in this situation. Range = vo2 * sin 2A / g is the formula for range. calculating the initial velocity vo's square and its original value.

Range is equal to vo2*sin2A/g.

VO2 * SIN (2 * 40°) / 9.8 m/s = 25 m

vo2 = sin 80° / 9.8 m/s / 25 m

2 vo = 15.77 m/s and 2 vo = 248.8 (m/s) respectively.

The ball's starting speed is 15.77 m/s.

The height of the object, max H, can be calculated as follows: max H = vo * (sin A) * 2g max H = 248.8 (m/s) * (sin 40°) * 19.6 m/s * 2g max H = 5.24 meters

The soccer ball rose 5.24 meters in the air.

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10J elastic potential energy is stored.

The mechanical potential energy stored in the configuration of a material or a physical system during elastic deformation as a result of work applied to it is known as elastic energy. When objects are momentarily compressed, stretched, or otherwise distorted, elastic energy is produced. Solid body and material mechanics formalisms are essentially produced via elasticity theory. Calculations of mechanical equilibrium positions using the elastic potential energy equation. The energy is potential because when the object is permitted to return to its original shape (reformation) by its elasticity, it will change into other forms of energy, such as kinetic energy and sound energy.

compression = expansion

force=2.5N

K= [tex]\frac{F}{x}[/tex]=[tex]\frac{2.5N}{0.2\times10^{-3} }=1.25\times10^4 N/m[/tex]

compression=0.15mm

Energy= [tex]\frac{1}{2}Kx^{2}[/tex]

Energy= [tex]\frac{1}{2}1.25\times 10^{-4}( 2.25\times10^{-10})J[/tex]

Energy=[tex]1.40625\times 10^{-4}\\[/tex]joules

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Infant brain mapping is being used to assess perceptual and cognitive activities including Vision, Hearing, and Language.

The very early offspring of humans are called infants or babies. Infant is a formal or specialized synonym for the phrase baby. It comes from the Latin word infants, which means "unable to talk" or "speechless." Other organisms' young may also be referred to by the names.

In everyday speech, an infant that is only a few hours, days, or even a few weeks old is referred to as a newborn. In medical contexts, an infant in the first 28 days following delivery is referred to as a newborn or neonate (from the Latin neonates, newborn); the word is applicable to premature, full-term, and postmature newborns.

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When a 1200 kilogram safe is 2.1 m above a heavy-duty spring and the rope holding the safe breaks, the spring constant is 199,136 N/m (roughly 200 kN/m). The safe collides with the spring, compressing it by 56 cm.

In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes. Kinetic energy is the energy that an item has as a result of its movement. If we wish to accelerate an item, we must apply force to it. Using force demands us to put in effort. After work is completed, energy is transferred to the item, and the thing moves at a new constant speed.

Here,

The spring constant is 200kN/m.

The work done on the spring by the the free falling safe is equal to the kinetic energy of the spring:

W1 =1/2kx²

The work done on the safe by gravity is the potential energy of the spring:

W2 = (mass of safe) x g x (height)

    = 1000kg x 9.8 m/s^2 x (2 + 0.54)m

    =1000kg x 9.8 m/s^2 x (2.54)m

    = 24,892 N-m

W2 = W1 =24892 N-m

W=1/2kx²

Therefore, k = 199136 kN/m.

The spring constant is 199,136 N/m approximately 200 kN/m when a 1200 kg safe is 2.1 m above a heavy-duty spring when the rope holding the safe breaks. the safe hits the spring and compresses it 56 cm.

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A monocular cue called linear perspective helps us understand the depth and distance of an object.

Any depth indication that may be interpreted solely by one eye is referred to as a monocular cue. In contrast, binocular cues call for the use of both eyes in order to perceive depth and distance.

Things that are nearby seem to move more quickly than objects that are farther away thanks to a depth perception cue called motion parallax. It is a form of monocular cue, or a cue for depth perception, that may be seen with just one eye.

Perception time is the amount of time it takes to become aware of a situation and realize that stopping is necessary. About three-quarters of a second may pass during this. Less experienced drivers frequently take longer to recognize a threat. The distance a car goes during this time is called perception distance.

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The net force that must be applied to Jocelyn is 139 Newton.

The net force acting on Jocelyn during the death spiral can be determined using the equation:

F = m * a

where F is the net force, m is her mass (47.3 kg), and a is her centripetal acceleration.

To find the centripetal acceleration, we can use the equation:

a = v^2 / r

where v is her velocity and r is the radius of rotation.

We know that Jocelyn completes one rotation every 1.13 seconds, so we can calculate her velocity:

v = 2 * pi * r / T

where T is the time for one rotation

Plugging in the known values:

v = 2 * pi * 0.915 m / 1.13 s

v = 5.09

Now we can substitute the value of v into the centripetal acceleration equation:

a = v^2 / r

a = 5.09² / 0.915

a = 28.3

F = ma

F = 47.3 × 28.3

F = 1339 Newton

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Answer:

Newton (N)

Explanation:

The time that have been taken by the liquid is  4.4 * 10^5 min.

The question that we have been asked here is about the rate of the filling of the bottle. We can see that we have been given the volume of the bottle clearly.

We know that the volume of the solution that we have is   195 U. S. fluid gallons or 0.74 m^3. Then we have that;

Density = mass/volume

mass = Density * volume

= 0.74 m^3 * 1000 Kg/m^3

= 740 Kg or 740000 g

Rate = mass/time

Time = mass/rate

Time = 740000 g/1.7 g/min.

= 4.4 * 10^5 min

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Answer:

Explanation:

b. when the pendulum's acceleration is a maximum.

The speed of a pendulum is greatest when the acceleration of the pendulum is at a maximum. This occurs when the pendulum is at the bottom of its swing, where the force of gravity is causing the greatest acceleration. At this point, the pendulum's kinetic energy is at a maximum and potential energy is at a minimum.

To find the time-domain voltage over the capacitor using phasor domain techniques, we need to first convert the circuit to the phasor domain by replacing the time-varying voltage and current sources with their phasor equivalents. The phasor equivalents of the voltage and current sources are:

V_s = 12 V * e^(j2pift)

I_s = 20mA * e^(j2pift)

where f is the frequency of the sources (1 MHz) and t is time.

The phasor voltage across the capacitor can be found using the following equation:

V_C = V_s - I_s * (R_1 + R_2 + j2pifL) - I_s * (1/(j2pifC))

Substituting in the values for the resistance and reactance of the circuit, we get:

V_C = 12 V * e^(j2pift) - 20mA * e^(j2pift) * (1000 Ohm + 2000 Ohm + j2pi10^620e-6 H) - 20mA * e^(j2pift) * (1/(j2pi10^6200e-12 F))

Simplifying, we get:

V_C = 12 V * e^(j2pift) - 20mA * e^(j2pift) * (3000 Ohm + j40pi) - 20mA * e^(j2pift) * (5e5 Ohm)

So, the phasor voltage across the capacitor is V_C = 12 V * e^(j2pift) - 0.02 A * e^(j2pift) * (3000 Ohm + j40pi) - 0.02 A * e^(j2pift) * (5e5 Ohm)

Finally, to find the time-domain voltage over the capacitor, we need to take the inverse Fourier transform of the phasor voltage. This can be done using the following equation:

v_c(t) = real (V_C * e^(-j2pift))

Substituting in the value for V_C, we get:

v_c(t) = real (12 V * e^(j2pift) - 0.02 A * e^(j2pift) * (3000 Ohm + j40pi) - 0.02 A * e^(j2pift) * (5e5 Ohm)

Complete question:

Find the time-domain voltage over the capacitor using phasor domain techniques. The voltage and current source are both AC (sine) sources with frequency of 1MHz and with the amplitudes of 12 V and 20mA, respectively. Assume that, R_1 = 1 k Ohm, R_2 = 2k Ohm, C = 200pF, and L = 20mu H.

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The solution for  the increase in length of a 40 cm brass rod that is heated from 30 ° C to 50 ° C ( linear expansion of Brass is 1.9 x 10³8¹¹ ) is

0.051 cm. In this case Option B is correct.

Linear Expansion Theory: What Is It?

The linear expansion theory, which is used in this question, states that when an object is heated or cooled, its expansion or contraction will be proportional to its original length and the temperature change.

First, determine Brass' linear expansion (1.9 x 108 11).

Step 2: Determine how long the 40 cm brass rod will grow. Increase in length equals (Brass linear expansion) times (Temperature change) times (Rod length).

(1.9 x 108 11) x (20°C) x (40 cm) length increase

Step 3: Determine the lengthening.

lengthening equals 0.051 cm

Response: 0.051 cm

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As the gap between the slits, d, is widened, the fringe spacing changes, becoming more pronounced.

Distance is an object's overall motion in a directionless fashion. Depending of the starting or terminating point, distance can be referred to as the amount of territory an element has travelled.

We can find out an object's actual size by knowing how far away it is. The area an object occupies in space above us can be measured. Once we know how far away it is, we can calculate its true size. An thing appears smaller the further away it is.

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a) The acceleration is 16.3 m/s^2

b) The acceleration is 1.66 g

c) The force that acts is 666.4 N

d) The force in pounds is 149.8 pounds

We have to note that when we talk about the acceleration, we mean the change in the velocity of the object with respect to the time that is taken. In the case of the problem that we have here, we are told that  the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s.

Note that;

v = u + at

v = final velocity]

u = initial velocity

t = time taken

a = acceleration

Then;

a = v - u/t

a = 57 - 0/3.5

a = 16.3 m/s^2

The acceleration in g's is  16.3 m/s^2/9.8 m/s^2 = 1.66 g

The force that acts on the passenger is; 68 Kg * 9.8 m/s^2 = 666.4 N

The weight in pounds of the passenger is 149.8 Pounds

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You can determine the average walking speed by registering the distance covered by different people in the same group. My pace is higher than people older than 65.

You can determine your average walking pace by recording information about the distance you cover in feet and the second it takes you to cover that distance. Here is an example:

450 feet / 100  seconds = 4.5 feet per second

My pace is faster than the walking pace of someone who is 65.

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Answer:

To solve the problem we must know the concept of momentum.

What is Momentum?

Momentum is defined as the product of the mass of an object and the velocity of an object. It is a vector quantity.

$$\rm{Momentum = velocity \times Mass$$

The mass of the object is 50 kg.

Given to us

velocity of the object = 3.60 m/s

momentum of the object = 180 kg m/s

Mass of the object

We know that momentum is the product of the mass of the object and the velocity of the object,

$$\rm{Momentum = velocity \times Mass$$

Substitute the values,

180 = 3.60 \times \rm Mass180=3.60×Mass

\rm Mass = \dfrac{180\ kg\ m/s}{3.6\ m/s}Mass=

3.6 m/s

180 kg m/s

\rm Mass = 50\ kgMass=50 kg

Hence, the mass of the object is 50 kg.

The size of the force when it is at 20,000 miles distances from Earth's center is  66 lb.

The size of the force when it is at 30,000 miles  distances from Earth's center is  29.33 lb.

The size of the force when it is at 100,000 miles  distances from Earth's center is 2.64 lb.

The force of attraction between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

(a) the size of the force when it is at 20,000 miles  distances from Earth's center = (264)/(2²) lb = 66 lb.

(b)  the size of the force when it is at 20,000 miles  distances from Earth's center = (264)/(3²) lb = 29.33 lb.

(c)  the size of the force when it is at 100,000 miles  distances from Earth's center = (264)/(10²) lb = 2.64 lb.

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85.83 km/hr is the average speed it travels at.

An object's speed can be determined if you are aware of the distance it covers in a given period of time. An automobile, for instance, is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Speed (or rate, r) is a scalar quantity that represents the amount of distance travelled (d) over the amount of time changed (t), as shown by the equation r = d/t.

Distance divided by time can be used to calculate speed. The speed is determined by dividing the distance travelled (say, 3 meters) by the passing time (say, 3 seconds) (one meter per second) Speed is hence the rate at which an object's position changes in any direction.

By converting 7/12 to a decimal (7/12 = 0.58), you may determine how many hours are in total.

1 plus 0.58 equals 1.58 hours when you add up the total time.

Subtract the overall time from the entire distance (95km) (1.58 hours).

The result, 95 kilometers divided by 1.58 hours, is 85.83 km/h, which is the average speed.

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False. As the soccer ball reaches its maximum height, it begins to slow down and then fall back to the ground due to the force of gravity.

Gravity is a natural force of attraction that exists between any two objects with mass. It is the weakest of the four fundamental forces of nature and acts over a very short distance. It is responsible for keeping the planets in orbit around the sun and for keeping objects on the earth's surface. Gravity also affects the motion of objects in the air, causing them to accelerate downward toward the ground. In addition, gravity affects the tides and other oceanic phenomena. On a smaller scale, gravity affects the movement of particles such as electrons and protons.

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The option that best describes the benefit of the fact that oll never wears out is that oll never wears out, it can be used again and again.

The correct option is A.

Durability is the ability of material to last in usage for a long time.

Duravle materials provides benefits to the owners in that it:

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Answer:

d) frictional force

Explanation:

What Is a Contact Force?

Contact force is the phrase used to describe a push/pull interaction that occurs when an object comes into contact with another object.

The only force where there is contact between two bodies in the answer choices is frictional force

Answer
d) frictional force

The correct option is C. Sign of Work is negative on way up and negative on way down due to gravitational force.

The definition of work is the energy that is either added to or subtracted from something by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance travelled.

A thrown object's acceleration due to gravity will cause negatively deaccelerate when we throw it vertically upwards.

We represented deacceleration by a (-) sign.

Thus, we may conclude that any work completed when an object is thrown upwards is negative since it defies gravity.

Now, g is accelerating force as it movies in direction of gravity when object comes downwards to earth. Work done when object moves down is positive.

Consequently, the best option will be option (C)

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The correct list is D) Earth's rotation defines a day. The saros cycle of eclipses defines a month.

Earth's rotation is the rotation of the planet around its own axis. This axis is an imaginary line that passes through the North and South Poles. Earth rotates from west to east, which is why the Sun appears to rise in the east and set in the west. The length of a day is determined by the time it takes for Earth to make one full rotation around its axis.

Earth's orbit defines a year.Earth's cycle of axis precession takes 26,000 years. This is because the Earth's rotation defines a day, the saros cycle of eclipses defines a month, the Earth's orbit defines a year, and the Earth's cycle of axis precession takes 26,000 years.

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The graph provided is a displacement-time graph. The object's displacement is shown on the x-axis, while its travel time is shown on the y-axis.  

The largest displacement that an object may make is known as its amplitude. The maximum displacement made by the object is 2 cm.

As a result, the object has an amplitude of 2 cm according to the definition of amplitude.

The amplitude of the object depends on the displacement made by the object. The maximum displacement is made when the object moves to an extreme position in an oscillation.

An object moves from a mean position to an extreme position in a straightforward harmonic motion. One oscillation or cycle is said to be complete when the object travels from the mean position to the extreme position and returns to the mean position.

The displacements are shown on the graph as positive when it moves to the extreme position and negative when it moves back from the extreme position.

According to the presented graph, it takes 4 seconds to complete one oscillation or cycle.

As a result, the time period is 4 seconds according to the definition of time  period. Therefore, the time period as ω = 2π/T.

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0.917 fraction of ice which is submerged in water only depends on the density of the ice and the water.

The density of a material is its mass per unit volume. The most common sign for density is, however the Latin letter D can also be used. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Symbol for density: D or Formula for Density: = m/V, where is the density, m is the object's mass, and V is the object's volume. The density of something describes how compact or dense it is. Let's say you have two boxes, one huge and one tiny. They both, however, weigh the same. That means the small box has a higher density than the large box. Density also tells how concentrated or crowded something is.

Here,

The density of the ice and the water have no effect on the 0.917 proportion of ice that is submerged in water.

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The velocity of the smaller mass just after the collision is B) +0.7 m/s.

To calculate the velocity of the smaller mass after the collision:

Use the law of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision: (m1 * v1) + (m2 * v2) = (m1 * v1') + (m2 * v2')

Substitute in the known values: (4.0 kg * 0 m/s) + (8.0 kg * 0 m/s) = (4.0 kg * v4) + (8.0 kg * (vg + 3.5 m/s))

Solve for the velocity of the smaller mass (v4): v4 = (8.0 kg * (vg + 3.5 m/s)) / 4.0 kg

Substitute in the value for the velocity of the larger mass (vg) which is not given in the question: v4 = (8.0 kg * (0 m/s + 3.5 m/s)) / 4.0 kg

Solve for the velocity of the smaller mass (v4): v4 = (8.0 kg * 3.5 m/s) / 4.0 kg

Simplify the calculation: v4 = 2.8 m/s / 4.0 kg

Divide the final value by the mass of the smaller object: v4 = 0.7 m/s

So the velocity of the smaller mass just after the collision is 0.7 m/s.

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The power dissipated by the battery is 100V2/R.

Power dissipated is the rate at which energy is converted from one form to another. It refers to the amount of energy that is lost due to heat or vibration when electricity flows through a component or system. Power dissipation is an important concept in electrical engineering since it affects the efficiency, reliability and temperature of a system.

The power dissipated by the internal resistance of the battery can be calculated using the formula P=IV,
where I is the current and V is the potential difference across the terminals. Since we know that V = 10V,
we can calculate I by dividing V by the internal resistance (R) of the battery: I = 10V/R.
The power dissipated by the battery is then given by P = IV = (10V/R)*(10V) = 100V2/R.
Thus,
In units of watts, the power dissipated by the battery is 100V2/R.

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Some psychologists believe that eating disorders represent a defense against unconscious conflicts related to sexual development. These psychologists have adopted a Psychoanalytic approach to eating disorders.

A psychoanalytic approach is based on the idea that our unconscious thoughts, feelings, and motivations can have a powerful influence on our behavior by focusing on helping individuals to gain insight into their unconscious processes, recognize and resolve conflicts, and modify their behavior.

Therefore, with this data, we can see that a Psychoanalytic approach is based on unconscious mental processes to develop a cure.

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Assuming that each cubic centimeter of water has mass of exactly 1 g , then mass of 1.87 cubic meter of water is 1.87 kg.

We define mass as measure of the amount of matter in a body. And SI unit of mass is Kilogram (kg) and the mass of a body does not change at any time.

As we know, mass = volume x density

where volume is given in cubic meter and density is given in g/cm^3

As water has a density of 1 g/cm^3 at 4 degree Celsius, this means that 1 cm^3 of water has a mass of 1 g.

So, mass = 1.87 m^3 x 1 g/cm^3 = 1.87 kg

Therefore, the mass of 1.87 cubic meter of water is 1.87 kg.

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The average normal stress in the column as a function of the distance z from its base is (237.68 - 21.43z) kPa or (237,684.54 - 21,431.12z) Pa.

The full question is in the attachment. There is a weight force that works in the concrete column. The formula w = mg

The mass of the column is unknown but the density is known. The formula for density ρ = m ÷ V

m = ρV

The weight force

w = mg = ρVg = ρg × πr²h

w = 2,300 × 9.8 × 3.14 × 0.18² × (4 - z)

w = 2,293.13 (4 - z)

w = (9,172.52 - 2,293.13z) N

The column is in equilibrium then Newton's first law applies

∑F = 0

N - F₁ - w = 0

N = F₁ + w

N = 15,000 + (9,172.52 - 2,293.13z)

N = (24,172.52 - 2,293.13z) Newton

The average normal stress can be calculated by the formula

σ = F/A

σ = N ÷ A

σ = (24,172.52 - 2,293.13z) ÷ 0.1017

σ = (237,684.54 - 21,431.12z) Pascal
σ =  (237.68 - 21.43z) kPa

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Answer:

Explanation:

If the moon doubled in mass, that means that the Earth will not experience a total solar eclipse like today also, if it doubled in mass, tide waves would increase in size, as the moon would be bigger and would have a bigger gravitational pull