The position of an object is given by x = at3 - bt2 + ct,where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7 m/s, and x and t are in SI units. What is the instantaneous acceleration of the object when t = 2.8 s?

The resultant force that water exerts on the overhang sea wall along abc is 179 kN.

Force is a physical quantity that describes the interaction between two objects, such as a push or a pull. It is defined as any influence that causes an object to undergo a change in motion or deformation. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction.

Component that is horizontal. Because AB is horizontal, there is no horizontal component. The horizontal component of BC's force is.

(Fbc)h =γwhˉA=(1000kg/m3)(9.81m/s2)(1.5m+21(2m))(2m(2m))=98.1(103)N.

Component that is vertical. The weight of the water contained in blocks Abefa and Bcdeb (shown shaded in Fig. a) is equal to the force on AB and the vertical component of the force on BC. Here,

Aabefa=1.5m(2.5m)=3.75m2and

2Abcdeb=(3.5m)(2m)–4π(2m)2=(7–p)m2. Then,

Fab=γwVabefa=(1000kg/m3)(9.81m/s2)[(3.75m2)(2m)] =73.575(103)N=73.6N (FBC)v=γwVbcdeb=(1000kg/m3)(9.81m/s2)[(7–π)m2(2m)] =75.702(103)N

Therefore,

Fbc=(Fbc)²h2+(Fbc)²v2=√[98.1(10³)N]²+[75.702(10³)N]²=123.91(10³)N=124KN

FR²   =(Fbc)²H2+[Fab+(Fbc)v]²

==[98.1(10³)N]² + [(73.6(10³)N)²+75.702(10³)N²]

=178.6(10³)N = 179 kN.

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If the ball is rolling along a straight path, its average speed is 0.2 meters per second.

Average speed is a measure of distance traveled over time. It is calculated by dividing the total distance traveled by the total time taken to travel that distance. Average speed can be measured in miles per hour (mph), kilometers per hour (kph), or other units of speed. Average speed is a useful measure when comparing the speed of different objects or for analyzing the speed of an object over a period of time. Average speed can also be used to measure the efficiency of a journey, such as the time taken to reach a destination.

Speed is described as
Distance x time  speed
The graph indicates that the ball is 10 meters away and that the time is 50 seconds.
Therefore, Speed = 10m/50s = 0.2m/s.

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Complete Question:
The graph below shows the motion of a ball rolling on a straight track. What was the ball's average speed during the time represented in the graph?

The child's speed at the lowest point is 5.42 m/s.

At the highest point of the swing, the child is momentarily at rest and has only potential energy. At the lowest point, the child has only kinetic energy.

Using the conservation of mechanical energy, we can write:

Potential energy at highest point = Kinetic energy at lowest point

mgh = (1/2)mv²

where m is the mass of the child, g is the acceleration due to gravity, h is the height of the swing at the highest point, and v is the speed of the child at the lowest point.

First, we need to find the height of the swing at the highest point. Since the swing is supported by two chains, the height of the swing at the highest point is half the length of the chains:

h = (1/2)3.00 m = 1.50 m

Next, we can solve for the child's speed at the lowest point:

mgh = (1/2)mv²

40.0 kg * 9.81 m/s² * 1.50 m = (1/2) * 40.0 kg * v²

588 J = 20.0 kg * v²

v² = 29.4 m²/s²

v = 5.42 m/s

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Answer:

Angular Momentum increase

Gravitational Potential Energy decrease

Explanation:

given data

mass = 3M

length = 2L

solution

when rod is rotate till it become vertical

so torque is counter clockwise

and there therefore angular speed goes on increase and there angular moment also increase

but as that gravitational potential energy will be decrease

The angular momentum of the system will increase, while the potential energy of the system will decrease after the bug lands.

The given parameters;

The change in the angular momentum is calculated as;

\(\Delta L = \Delta I\omega\)

After the bug lands, the total mass of the system increases and the angular speed increases from zero. Consequently, the angular momentum of the system will increase.

The change in potential energy is calculated as;

\(\Delta P.E = mg(\Delta h)\)

After the bug lands, the height of the system decreases to zero, which leads to a decrease in the potential energy of the system.

Thus, we can conclude that the angular momentum of the system will increase, while the potential energy of the system will decrease after the bug lands.

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The distance between the cities along the route is 87.95 Km

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 82.1 × (30.1 / 60)

Distance = 41.19 Km

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 83.1 × (9.11 / 60)

Distance = 12.62 Km

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 41.3 × (49.6 / 60)

Distance = 34.14 Km

Total distance = 41.19 + 12.62 + 34.14

Total distance = 87.95 Km

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Answer:

velocity 2.0 updated sa showbizz happening

Hence, R = 28.97 m, 24.5 degrees is the vector sum of T and U.

A vector's direction is frequently stated as a rotation of the vector's "tail" anticlockwise with respect to due East. In accordance with this practise, a vector having a direction of 30 degrees is a vector that has been anticlockwise rotated 30 degrees with respect to due east.

Let's begin by separating the components of the vector T:

T~ = 40 m, 30 degrees

T_x = 40 cos(30) = 34.64 m

T_y = 40 sin(30) = 20 m

Let's now decompose the vector U into its constituent parts:

U~ = 12 m, 225 degrees

U_x = 12 cos(225) = -8.49 m

U_y = 12 sin(225) = -8.49 m

It is possible to combine elements of the same type (x and y):

R_x = T_x + U_x = 34.64 m - 8.49 m = 26.15 m

R_y = T_y + U_y = 20 m - 8.49 m = 11.51 m

The Pythagorean theorem can be used to determine the size of the resulting vector R:

|R~| = sqrt(R_x² + R_y²) = sqrt((26.15 m)² + (11.51 m)²) = 28.97 m

The inverse tangent function can be used to determine the direction of the resulting vector R:

theta = tan⁻¹(R_y/R_x) = tan⁻¹(11.51 m/26.15 m) = 24.5 degree.

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Answer:2.80 m

Explanation: you would divide 343 by 4 times 30.6

Answer:

2.80

Explanation:

Acellus

The final velocity of the skydiver after one second is -9.81 m/s (i.e., a velocity of 9.81 m/s downward).

To determine the skydiver's velocity after one second, we need to know the acceleration due to gravity and the initial velocity of the skydiver.

Let's assume that the skydiver is falling straight down and that their initial velocity is zero (i.e., they are released from rest). In this case, the acceleration of the skydiver is simply the acceleration due to gravity, which is approximately \(9.81 m/s^2\) . We can use the following kinematic equation to find the final velocity of the skydiver after one second:

\(v_f = v_i + a*t\)

where \(v_f\) is the final velocity, \(v_i\)  is the initial velocity, a is the acceleration, and t is the time.

Substituting the known values, we get:

\(v_f = 0 + (9.81 m/s^2)*1 s\)

= 9.81 m/s

Since the skydiver is falling straight down, the velocity is in the downward direction, which we can denote as negative. Therefore, the final velocity of the skydiver after one second is -9.81 m/s (i.e., a velocity of 9.81 m/s downward).

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Answer:

The student should hold his umbrella at an angle facing south-west.

a. The maximum height reached by the ballast bag is approximately 300 m + 8.45 m = 308.45 m.

b. 5.0 s after it is released, the ballast bag is at a height of approximately 177.5 m above the ground, and its velocity is approximately -36.5 m/s

c. The ballast bag hits the ground approximately 18.1 s after it is released.

(a) To find the maximum height reached by the bag, we can use the kinematic equation:

v_f^2 = v_i^2 + 2aΔy

where v_f is the final velocity (which is zero at the maximum height), a is the acceleration due to gravity (approximately -9.8 m/s^2), and Δy is the change in height.

Rearranging and solving for Δy, we get:

Δy = v_i^2 / (2a) = (13 m/s)^2 / (2*(-9.8 m/s^2)) ≈ 8.45 m

Therefore, the maximum height reached by the ballast bag is approximately 300 m + 8.45 m = 308.45 m.

(b) To find the position and velocity of the bag 5.0 s after it is released, we can use the equations:

y = y_i + v_it + (1/2)at^2

v_f = v_i + at

where y_i is the initial height (300 m), v_i is the initial velocity (13 m/s), t is the time elapsed (5.0 s), and a is the acceleration due to gravity (-9.8 m/s^2).

Using these equations, we can find:

y = 300 m + 13 m/s*(5.0 s) + (1/2)(-9.8 m/s^2)(5.0 s)^2 ≈ 177.5 m

v_f = 13 m/s + (-9.8 m/s^2)*(5.0 s) ≈ -36.5 m/s

Therefore, 5.0 s after it is released, the ballast bag is at a height of approximately 177.5 m above the ground, and its velocity is approximately -36.5 m/s (i.e., it is moving downward).

(c) To find the time at which the ballast bag hits the ground, we can use the equation:

y = y_i + v_i*t + (1/2)at^2

Setting y = 0 (since the ground is at y = 0), y_i = 300 m, v_i = 13 m/s, and a = -9.8 m/s^2, we get:

0 = 300 m + 13 m/st + (1/2)(-9.8 m/s^2)*t^2

Rearranging and solving for t using the quadratic formula, we get:

t = (-13 ± sqrt(13^2 - 4*(-4.9)(300))) / (2(-4.9))

The positive solution is the time at which the ballast bag hits the ground:

t ≈ 18.1 s

Therefore, the ballast bag hits the ground approximately 18.1 s after it is released.

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The change in the tension if the radii r changes from 4.0 cm to 4.1 cm, and R changed from 0.8 cm to 0.9 cm is negative, therefore, tension reduces.

Mass of the yoyo = 0.001 kg

Initial value of the spindle radius, R = 4 cm

Initial length of the radius of the yo–yo, r = 0.8 cm

The final values are;

R2 = 4.1 cm, r2 = 0.9 cm

Which gives;

\(T_{r \:R} = \frac{0.001 \cdot g \cdot R }{2 \cdot r^{2} + R^2} \)

Which gives;

\(T_{{r _1 \:R _1 }} = \frac{0.001 \times 9.8 \times 0.04 }{2 \times 0.008^{2} + 0.04²} = \frac{49}{216} \)

\(T_{{r _2 \:R _2 }} = \frac{0.001 \times 9.8 \times 0.041 }{2 \times 0.009^{2} + 0.041^2} = frac{2009}{9215} \)

Therefore;

\( \Delta T_{{r \:R }} = frac{2009}{9215} - \frac{49}{216} = - \frac{17591}{1990440} \)

Given that difference between the final and the initial states is negative, the the value of the tension decreases

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Answer:

A) q = 1.67 × 10^(-7) C

B) q = 1.67 × 10^(-10) C

Explanation:

We are given;

Potential; V = 30 KV = 30000 V

Radius of sphere; r = diameter/2 = 0.1/2 = 0.05 m

A) To find the charge of the sphere, we will use the formula;

V = kq/r

Where;

q is the charge

k is electric force constant = 9 × 10^(9) N.m²/C²

Thus;

q = Vr/k

q = (30000 × 0.05)/(9 × 10^(9))

q = 1.67 × 10^(-7) C

B) Now, potential energy here is a formula; U = qV

However, for the drop of paint to move, the potential energy will be equal to the kinetic energy. Thus;

qV = ½mv²

q = mv²/2V

Where;

v is speed = 10 m/s

V = 30000 V

m = mass = 0.100 mg = 0.1 × 10^(-6) Thus;

q = (0.1 × 10^(-6) × 10²)/(2 × 30000)

q = 1.67 × 10^(-10) C

Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. ... The resulting shape will be an ellipse. An ellipse is a special curve in which the sum of the distances from every point on the curve to two other points is a constan

In order to determine which orientation results in a larger depolarization factor for the similar dielectric ellipsoids placed in an electric field, we need to consider the shape and alignment of the ellipsoids with respect to the electric field.

The depolarization factor measures the reduction in the electric polarization of a material due to its shape and alignment in an electric field. It is influenced by the geometry of the material and how it interacts with the electric field.

Qualitatively, if the ellipsoids are aligned in such a way that their major axes are parallel to the electric field lines, the depolarization factor would be smaller. This is because the electric field would act along the long axis of the ellipsoid, resulting in less distortion of the polarized charges inside the material. The polarization would be more effectively aligned with the electric field, minimizing the depolarization effect.

On the other hand, if the ellipsoids are oriented such that their major axes are perpendicular or at an angle to the electric field lines, the depolarization factor would be larger. In this case, the electric field would act in a direction that is not aligned with the major axis of the ellipsoid, causing more distortion and misalignment of the polarized charges inside the material. This results in a larger depolarization effect.

Without a specific diagram or more information about the orientations shown in Figure P5.5, it is difficult to determine the exact orientation with the larger depolarization factor. However, based on the general understanding of the relationship between alignment and the depolarization effect, the orientation where the major axes of the ellipsoids are perpendicular or at an angle to the electric field lines is likely to result in a larger depolarization factor.

Answer:

Mechanical Energy.

Explanation:

This can occur as either kinetic or potential energy.

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Answer:

Loudness and pitch are the characteristics of a sound related to amplitude and frequency.

Explanation:

Loudness and pitch are the characteristics of a sound that are related with the frequency and amplitude of a sound. If any change occurs in the frequency and amplitude of a sound, change also occurs in the loudness and pitch of a sound. If a source has larger amplitude so it produces large loudness or volume of a sound. On the other hand when the frequency is higher than the pitch will also be higher and the sound produce will be high.

Answer:

The heat needed to raise the temperature of 1 gallon of water from 68°F to 40°C is approximately 28,265 Joules.

Explanation:

Answer: 10s

Explanation:

The time required for the object to  accelerate is 10 seconds.

Given the following data:

To find the time required for the object to  accelerate, we would use the first equation of motion:

Mathematically, the second equation of motion is given by the formula;

\(V = U + at\)

Where:

Substituting the parameters into the formula, we have;

\(28.0 = 8.0 + 2t\\\\2t = 28.0 - 8.0\\\\2t = 20.0\\\\t = \frac{20.0}{2}\)

Time, t = 10 seconds.

Therefore, the time required for the object to  accelerate is 10 seconds.

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1)

Answer:

3912.48 J

Explanation:

The formula for calculating the quantity of heat is expressed as

H = mcθ

where

m is the mass of the substance

c is the specific heat capacity of the substance

θ is the change in temperature of the substance

From the information given,

m = 36

initial temperature = 8

final temperature = 34

θ = 34 - 8 = 26

c = 4.18J/g/C

By substituting these values into the formula,

H = 36 x 4.18 x 26

H = 3912.48 J

Quantity of heat energy needed = 3912.48 J

Usually, we use sampling when a population is hard to study, for some reason.

Sampling is a technique commonly employed in research and statistics when it is impractical or impossible to study an entire population directly. It involves selecting a subset, or sample, from the population and using the information gathered from the sample to make inferences about the entire population. This is done with the assumption that the sample is representative of the population and that the findings from the sample can be generalized to the larger population.

There are several reasons why a population might be difficult to study comprehensively. One reason is the size of the population. For example, if the population of interest is the entire world or a country, it would be practically impossible to study each individual in the population due to logistical constraints and limited resources. In such cases, sampling allows researchers to gather information from a smaller, manageable subset of the population.

Another reason for using sampling is when the population is dispersed or geographically scattered. If the population is spread out across a wide area, it can be challenging and costly to reach and collect data from every individual. Sampling allows researchers to select representative individuals or clusters from different regions, making data collection more feasible.

Additionally, there are cases where the population is inaccessible or hard to reach due to privacy concerns or ethical considerations. For example, if the population consists of individuals with certain medical conditions or sensitive personal information, it may be challenging to obtain consent or access to the entire population. In such cases, researchers can use sampling methods to obtain data from a subset of individuals who are willing to participate and meet the necessary criteria.

In summary, sampling is a valuable tool when studying populations that are hard to access, too large, or dispersed. It allows researchers to gather relevant data from a representative subset of the population and make valid inferences about the larger population, despite the challenges posed by studying the population as a whole.

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The question probable may be:

Usually, we use                  when a population is hard to study, for some reason.

The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.

Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.

The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.

In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..

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Time = t = 6.62 s

Explanation:

Given data:

Height = h = 215 m

Initial velocity =  = 0 m/s

gravitational acceleration = g = 9.8 m/s²

Time = t = ?

According to the second equation of motion

As the initial velocity is zero, the first term of right-hand side of the above equation is equal to zero.

                                       t² = 2h/g

                                        t = square root 2h/g

                                        t = square root 2x215/9.8

                                        t = 6.62 s

Answer:

The transfer of thermal energy from your hand to the ice cube, as dictated by the second law of thermodynamics, causes the sensation of coldness. The third law of thermodynamics also plays a role in reducing the thermal energy and increasing the order of the molecules in the ice cube, contributing to the overall sensation of coldness.

Explanation:

When you pick up an ice cube, your hand feels cold due to the transfer of thermal energy from your hand to the ice cube. This transfer of energy occurs as a result of the second law of thermodynamics, which states that thermal energy always flows spontaneously from a hotter object to a colder object.

In this case, the ice cube is colder than your hand, and therefore has a lower thermal energy. When you touch the ice cube, heat flows from your hand to the ice cube in an attempt to equalize the temperature of the two objects. This transfer of heat causes the thermal energy of your hand to decrease, resulting in the sensation of coldness.

Another factor that contributes to this sensation is the third law of thermodynamics, which states that as the temperature of an object approaches absolute zero (the theoretical limit of zero Kelvin or -273.15 degrees Celsius), its entropy approaches a minimum value. This means that when the thermal energy of an object, such as an ice cube, is much lower than that of your hand, the disorder of its particles is greatly reduced. As a result, the molecules in the ice cube vibrate more slowly and produce less heat, leading to the sensation of coldness when touched.

According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.

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Answer:

It would take 5 seconds

Explanation:

I can't find the 'delta' sign nor the vector sign so just pretend that displacement, time and velocity has them.

V = d / t

34 = 170 / t

34 x t = 170

34t = 170

t = 170 / 34

t = 5

Answer:

Nuclear Power Plant

Explanation:

Heat produced during nuclear fission to heat water. In nuclear fission, atoms are split apart to form smaller atoms, releasing energy. Fission takes place inside the reactor of a nuclear power plant. At the center of the reactor is the core, which contains uranium fuel.