A safety plug is designed to melt when the pressure inside a metal tank becomes too high. A gas
at 51.0 atm and a temperature of 23.0°C is contained in the tank, but the plug melts when the
pressure reaches 75.0 atm. What temperature did the gas reach?

Answer:

Explanation:

Load will be moved by 4L when effort moves by distance L .

4L = 10 m ( given )

L = 2.5 m

work output = work input = 400 x 10 = 4000 J

work by friction = 100 J

net work output = 3900 J .

efficiency = net output of work / work input

= (3900 / 4000) x 100

= 97.5 %

2 )

work input = 4000 J

distance moved by effort = 2.5 m

If effort be F

F X 2.5  = 4000

F = 1600 N .

One full weather station reports  wave passing a spot every second is equivalent to a frequency of 1 Hz. The frequency is 48=12=0.5 Hz if 4 waves pass a spot in 8 seconds.

The number of cycles that make up a time unit is the frequency. The frequency of a wave with a 30-second period is therefore 1 30 = 0.033 cycles per second, or 0.033 Hertz (Hz).

A wave's speed and wavelength vary as it crosses a border and enters a new medium, but its frequency doesn't.

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A 50.0-kg wagon is pulled with a constant force of 380 N. Neglecting friction, the wagon's acceleration will be 7.6 m/s².

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ANSWER:

B. Increases

STEP-BY-STEP EXPLANATION:

We have that when a spring is stretched or compressed, it works against the restoring force of the spring. This work is stored as elastic potential energy in the spring. The more you stretch or compress the spring, the more work you do and the more energy you store.

The elastic potential energy therefore will depend directly on the length of elongation, the greater the length, the greater the potential energy.

With the above, we can conclude that the correct answer is B. Increases

the simple answer is from 61kmph to 120kmph

Explanation:

no explanation is needed

A. Identity vs role confusion: Mo's uncertainty about post-graduation plans.

B. Integrity vs despair: Mo's questioning of life accomplishments as an older adult.

C. Sensorimotor stage: Mo's development of motor skills and object permanence.

D. Intimacy vs isolation: Mo's struggle with forming relationships.

E. Concrete operational stage: Mo's ability to think logically and understand conservation.

A. The example matches with the Erikson stage of "identity vs role confusion." During this stage, individuals go through a period of exploration and self-discovery to establish a sense of identity and determine their roles and goals in life. Mo's uncertainty about what he wants to do after graduation reflects the challenges and decision-making processes associated with identity formation.

B. The example matches with the Erikson stage of "integrity vs despair." This stage occurs in late adulthood, where individuals reflect on their life choices, accomplishments, and experiences. Mo, as an older adult questioning his accomplishments, is facing the task of finding a sense of integrity and satisfaction with the life they have lived or experiencing feelings of despair and regret.

C. The example matches with the Piaget stage of "sensorimotor stage." This stage occurs in infancy, where children develop coordination and motor skills and begin to understand object permanence, which is the understanding that objects continue to exist even when they are out of sight. Mo's acquisition of motor skills and developing object permanence aligns with the characteristics of the sensorimotor stage.

D. The example matches with the Erikson stage of "intimacy vs isolation." This stage occurs during early adulthood, where individuals seek to form deep and meaningful relationships with others. Mo's struggle with forming a relationship with a significant other reflects the challenges and conflicts associated with the intimacy vs isolation stage.

E. The example matches with the Piaget stage of "concrete operational stage." This stage occurs in middle childhood, where children develop logical thinking and can grasp the concept of conservation. Mo's ability to think logically and understand the law of conservation aligns with the characteristics of the concrete operational stage.

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Answer:

Gravitational

Explanation:

4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.

The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.

To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.

Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.

ΔE = 4×10^26 W

c = 3×10^8 m/s (speed of light)

Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².

Substituting the values, we have:

Δm = (4×10^26 W) / (3×10^8 m/s)²

Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.

This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.

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The magnitude of the displacement of the vector A is determined as 6.2 units.

The magnitude of the displacement of the vector is calculated as follows;

| A | = √[ (x₂ - x₁ )²  +  (y₂ - y₁ )² +  (z₂ - z₁ )²]

where;

The magnitude of vector A is calculated as;

| A | = √[ (2 - 0 )²  +  (3 - 0 )² +  (5 - 0 )²]

| A | = √ (4 + 9 + 25)

| A | = √ ( 38)

| A | = 6.2 units

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The complete question is below;

If vector A represents displacement from point O(x1, y1,z1) and P(x2, Yz, Z2). find the magnitude of the displacement of vector A.

Answer:

Is when dreaming occurs

Explanation:

Rem sleep is when dreaming occurs, other stages of sleep are when beta and delta waves occur.

Answer: C

Explanation:

Answer:

An object is in motion if it changes position relative to a reference point.

Explanation:

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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The ratio of the sheave diameter should be at least 20 times and no less than 18 times of the diameter of the wire rope.

Always make sure that the pulley or sheave's groove diameter is more than the rope's actual diameter. However, the rope will tend to flatten if the groove diameter is too wide, and it will squeeze the rope if it is too tiny.

The rope pitch diameter of every sheave utilized in the boom hoist reeving system must be at least 18 times the rope's nominal diameter.

We advise a sheave diameter about 20 times that of the rope since a sheave's Outside Diameter is typically 1 to 2 inches larger than its Pitch Diameter.

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Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.

In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.

Here,

a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.

b. Since no work is done, no energy is used or transferred.

c. The power exerted by the man can be calculated using the formula:

Power = Work / Time

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The final velocity of the red ball is 18 m/s.

The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.

Then;

Mass of the blue ball =  6 kg

Mass of the red ball =  1 kg

Initial velocity of the blue ball =  4 m/s

Initial velocity of the red ball = 0 m/s

Final velocity of the red ball = ??

Final velocity of the blue ball =  1 m/s

We now have;

(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)

24 = v + 6

v = 24 - 6

v = 18 m/s

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Answer:

In order to accomplish work on an object there must be a force exerted on the object and it must move in the direction of the force

Explanation:

A measure of energy expended in moving an object; most commonly, force times displacement. No work is done if the object does not move.

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Answer:

14.8m

Explanation:

Given parameters:

Initial speed  = 17m/s

Unknown:

Maximum height  = ?

Solution:

At the maximum height, the final speed will be 0m/s;

 We use of the kinematics equation to solve this problem.

     V²   = U²   - 2gH

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

H is the height

         0²   = 17²  -  (2  x 9.8 x h )

          0 = 289  - (9.6h)

         -289  = -19.6h

            h  = 14.8m

At the greatest point of the pendulum's swing (the top of the arc), the kinetic energy is at its least since the velocity is momentarily zero.

Mechanical energy is the product of potential and kinetic energy. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.

There are two types of mechanical energy – motion (kinetic energy) and stored (potential energy)

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The horizontal distance travelled by the fish when dropped is 131.25 m.

The time of motion of the fish from the given height is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

h = 0 + ¹/₂gt²

t = √ ( 2h / g )

t = √ ( 2 x 135 / 9.8 )

t = 5.25 seconds

The horizontal distance travelled by the fish when dropped is calculated as;

X = vt

X = 25 m/s  x  5.25 s

X = 131.25 m

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At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

Assuming that the two charges are of equal magnitude and opposite sign and that the distance between them is d, the electric field at the point indicated by the dot can be found using Coulomb's law:

\(E = kq/r^2\)

where k is Coulomb's constant (\(8.99 *10^9 N m^2/C^2\)), q is the magnitude of the charge, and r is the distance between the charges.

Since the charges are of equal magnitude, the net charge at the point indicated by the dot is zero, so we only need to consider the electric field due to one of the charges. Let's assume that we want to find the electric field due to the positive charge.

The distance between the positive charge and the point indicated by the dot is r = d/2. Therefore, the electric field at that point is:

\(E = kq/(d/2)^2 = 4kq/d^2\)

The direction of the electric field is radial, pointing away from the positive charge and toward the negative charge. At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

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Answer:

\(t=0.0107\ \text{s}\)

Explanation:

\(x=10\cos(6t)\)

Now \(x=8\ \text{cm}\)

Substituting the value of \(x\) in the equation we get

\(8=10\cos6t\)

\(\Rightarrow 0.8=\cos6t\)

\(\Rightarrow \cos^{-1}0.8=6t\)

\(\Rightarrow t=\dfrac{\cos^{-1}0.8}{6}\)    the values here are used found in radians

\(\Rightarrow t=0.0107\ \text{s}\)

So, at \(t=0.0107\ \text{s}\) the value of \(x=8\ \text{cm}\).

The cart has undergone work done is 125 Joules of labor.

To move an object, it must be transformed into energy. Force can be used to transmit energy. The work done is the amount of energy that a force used to move an object.

We must apply the following formula to determine the amount of work done on the cart:

W = K = (1/2)mvf2 - (1/2)mvi2 where m is the cart's mass, vf is the end velocity, and vi is the beginning velocity. K is a symbol for kinetic energy change.

By entering the specified values, we obtain:

\(W = (1/2) x 2.0 kg x (15 m/s)^2 - (1/2) x 2.0 kg x (10 m/s)^2\)

\(W = (1/2) x 2.0 kg x 225 m^2/s^2 - (1/2) x 2.0 kg x 100 m^2/s^2\)\(W = (1/2) x 2.0 kg x 225 m^2/s^2 - (1/2) x 2.0 kg x 100 m^2/s^2\)

\(W = 125 J\)

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Answer:

It is (B) Stimuli must be sensed in order to produce a response.

Explanation:

The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.

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The well that will have most of the water will be well A.

The underground water supply is defined as a type of water that exists underground in saturated zones beneath the land surface.

From the two wells represented in the diagrams above, Well A has water supply from underground which is lacking in well B.

Therefore, well A will have most of the water more than B.

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7.1 The reading on V₁ is 0 V.

7.2 The total resistance of the circuit is 6 Ω.

The reading on V₁ is zero because the two cells are connected in parallel. When cells are connected in parallel, the voltage across each cell is the same. In this case, the voltage across each cell is 3 V. Therefore, the reading on V₁ is 0 V.

The total resistance of the circuit is given by the following equation:

R_T = R₁ + R₂

where:

R_T is the total resistance of the circuit in ohms

R₁ is the resistance of the first resistor in ohms

R₂ is the resistance of the second resistor in ohms

In this case:

R_T = ?

R₁ = 2 Ω

R₂ = 4 Ω

Substituting these values into the equation:

R_T = 2 Ω + 4 Ω

R_T = 6 Ω

Therefore, the total resistance of the circuit is 6 Ω.

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Answer:

12

Explanation:

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