a car is initially moving at 10 m/s and accelerates at a constant rate of 2 m/s^2 for 4 seconds, in a straight line. How far did the car carvel during this time?

Answer: it’s 1,470 N

Explanation:

Since F=m*a then 150*9.8=1,470.

Weight of given cart is 1,470 N

Given that:

Mass of cart = 150 kg

Acceleration due to gravity = 9.8 m/s²

Find:

Weight of cart

Computation:

Weight = m × g

Weight of cart = Mass of cart × Acceleration due to gravity

Weight of cart = 150 × 9.8

Weight of cart = 1,470 N

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The time taken to reach one crest is 0.5731 s. Then the time period of the wave is 1.146 s. The frequency is the inverse of the period that is 0.87 Hz.

The time period of a wave is the time required to complete one wave cycle. For a transverse wave the period of the wave is the time required to reach from one crest to the next crest of the wave.

Given that, time to reach one crest = 0.5731 s.

then the time for to the next crest from the equilibrium position is :

T = 0.5731 s× 2 = 1.146 s.

Frequency of a wave is the number of wave cycles per second. It is the inverse of time period of the wave.

Hence, frequency = 1/T

ν = 1/ 1.146 s = 0.87 Hz.

Therefore, the period of the wave is 1.14 s and frequency is 0.87 Hz.

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If the elliptical orbit of mercury were more eccentric, its precession rate would be larger than it is now.

Here's why mercury's orbit is most eccentric, Orbits of most planets are eccentric. Earth's orbit is slightly eccentric compared to mercury, because mercury is the closest planet to the sun, and not earth.

Why is Mercury orbit elliptical?

Orbits are caused by the planet's interactions with the sun as it moves around by the gravity of the sun.

What is the precession of Mercury?

The precession of Mercury's orbit is measured to be 5600 seconds of arc per century (one second of arc = 1/3600 degrees).

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Answer:

The two of the following measurements, when taken together, would allow engineers to find the total mechanical energy dissipated during the skid

B. The contact area of each tire with the track.

C. The co-efficent of static friction between the tires and the track.

D. The co-efficent of static friction between the tires and the track.

Explanation:

Here are the ways.

First sunlight enters leaves' chlorophyll . Water comes through roots and Carbon dioxide from atmosphere. All combine to form carbohydrates and oxygen. After evaporation the tree releases water to atmosphere which comes down as rain.

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities.

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Explanation:

a) Fixed points are the temperatures at which a thermometer is calibrated. They can refer either to the actual temperatures used for calibration, or the thermometer readings at those temperatures.

__

b) Fundamental interval is the difference between the fixed points. As with fixed points, it can refer either to the difference in actual temperature, or the difference in the corresponding thermometer readings.

Answer:

magnitude of gravitational force between the Earth and the Sun at B is greater than that at A

Explanation:

Formula of gravitational force:

F = GMm/r^2

(r is the distance between 2 objects)

We see that r(B) < r(A) since at B, the Earth is closer to the Sun than at A

According to the Formula, the smaller r is, the greater F is

So, F(B) > F(A)

The digestive organ that the majority of lipid digestion and absorption occur is the small intestine.

The small intestine is a part of the digestive system that is made up of the duodenum, jejunum, and ileum. It is the part of the digestive system that will follow the stomach.

This part of the intestine will be in charge mainly of the digestion of lipids, this process will begin in the mouth and in the stomach but then the digestion will take place in the small intestine with the help of lipase enzymes which will break the lipid molecules. After this process happens, the absorption of the lipids that will travel through circulation and go throughout the body will take place.

Therefore, we can confirm that the digestive organ that the majority of lipid digestion and absorption occur is the small intestine.

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Answer:

5.95 m/s to the right

Explanation:

Before the collision, the momentum of the system is given by:

p = m1v1 + m2v2

p = (9.00 kg)(14.0 m/s) + (12.0 kg)(-5.00 m/s)

p = 125.0 kg m/s (to the right)

During the collision, the two masses stick together, so their final velocity will be the same. Let's call this final velocity vf. The momentum of the system after the collision is given by:

p' = (m1 + m2)vf

p' = (9.00 kg + 12.0 kg)vf

p' = 21.0 kg vf

Since momentum is conserved in the collision (there are no external forces acting on the system), we can set p = p' and solve for vf:

125.0 kg m/s = 21.0 kg vf

vf = 5.95 m/s (to the right)

Therefore, the final velocity of the combined masses after the collision is 5.95 m/s to the right.

The current through each bulb is 0.15A.

D)

V = Voltage across each bulb = 120 Volts

i400 = current in 400 ohm resistor = V/R = 120/400 = 0.3 A

i800 = current in 800 ohm resistor = V/R = 120/800 = 0.15 A

E)

P400 = V2/R400 = 1202/400 = 36 Watt

P800 = V2/R800 = 1202/800 = 18 Watt

F)

Ptotal = 36 + 18 = 54 Watt

Current refers to the flow of electric charge through a conducting medium. It is defined as the amount of charge that passes through a given cross-sectional area per unit of time. The SI unit of current is the ampere (A), which is defined as the flow of one coulomb of electric charge per second.

In an electric circuit, the current flows from a higher potential to a lower potential, and the direction of the current is taken as the direction in which positive charges would flow. In DC, the current flows in one direction only, while in AC, the current changes direction periodically. The magnitude of the current depends on the potential difference across the circuit and the resistance of the circuit.

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Complete Question:

Two light bulbs have resistances of 400 Ω and 800 Ω.

D). the two light bulbs are now connected in parallel across the 120- v line. find the current through each bulb.

E). Find the power dissipated in each bulb.

F). Find the total power dissipated in both bulbs.

The motion of one particle of a gas is unaffected by the motion of other particles of the gas unless the particles collide.

Heat is the primary cause of particle motion on Earth. The temperature of any substance is correlated with the energy of the atoms and molecules that comprise it. Energy is conserved, thus if one particle loses energy, another one acquires it.

The components of matter are also continually in motion. They are energetic in motion. The kinetic theory of matter states that all matter is made up of particles that are constantly moving.

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Answer:

YES. 6√10

Explanation:

apply E=1/2mv^2 and find the velocity of carriage which is 6√10 ms-1

as our velocity is higher than that of cart. we can catch the carriage

The lost in kinetic energy after the collision is 55.45 J.

The kinetic energy lost after collision is calculated as follows;

Their final velocity after the collision is calculated as;

(80 + 30) v = 100 kgm/s

110v = 100

v = 100/110

v = 0.91 m/s

The sum of their initial velocity before and after collision;

K.Ei = 0.5 x (30)(2²) + 0.5 x (80)(1²)

K.Ei = 100 J

K.Ef = 0.5(30 + 80)(0.9²)

K.Ef = 44.55 J

ΔE = 100 J - 44.55 J

ΔE = 55.45 J

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A collision occurs between two identical skateboards that are initially at rest and a 4-kg skateboard travelling at 8 m/s. After a collision, if the two hoverboards keep together, the s = 32 m/s.

In physics, collision, often known as impact, is the abrupt, violent coming together in close proximity of two entities, such as, for instance, two pool cues, a golf course and a projectile, a hammer and just a nail head, or two fish road cars if being paired together, or a dropping object and just a floor.

There are three different kinds of collisions: collisions with perfect elastic properties. inflexible collision collision with perfect inelasticity. Every collision involves not one but three collisions: the vehicle contact, the physical collision, or the internal colliding (inside your body).

p = m*v

m = 4 kg

v = 8 m/s

speed = 4kg * 8 m/s

speed = 32 m/s

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Answer:

It depends if your smart

Explanation:

Also, I plead the 5th

Assuming that the planet is a closed system with no external forces, the statement "angular momentum about the center of the planet is conserved" is: true.

Angular momentum is a physical quantity that is conserved in a closed system, meaning that it remains constant as long as no external forces act on the system. The angular momentum of an object is its tendency to keep rotating about an axis, and is determined by the object's mass, velocity, and distance from the axis of rotation.

In the case of a planet, its angular momentum is determined by the mass, velocity, and distance of all the objects that make up the planet. As long as there are no external forces, the planet's angular momentum will remain constant.

This principle can be applied to various planetary phenomena, such as the rotation of planets, the movement of asteroids, and the formation of planetary rings.

However, if there are external forces acting on the planet, such as gravitational or tidal forces from other celestial bodies, the conservation of angular momentum may no longer hold true.

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Answer:

B

Explanation:

One positive charger and one negative charger

Given:

Thermal energy is denoted by W

Chemical energy is denoted by X

Electrical energy is denoted by Y

Kinetic energy is denoted by Z

To find the order of energy while converting bagasse to electricity.

Explanation:

The bagasse has chemical energy stored in it.

The bagasse is burned, so chemical energy gets converted into thermal energy.

The thermal energy gets converted into kinetic energy.

The kinetic results in the motion of electrons.

Thus, producing electrical energy.

Hence, the conversion order is XWZY

Answer:

1. the attractive force that holds atoms or ions together

2. the average distance between the nucleus of two bonded atoms

3. the angle formed by two bonds to the same atom

According to Newton's second law of motion, acceleration is directly proportional to the net force applied to an object and inversely proportional to its mass. Therefore, in order to have the smallest acceleration, we would need to have the smallest net force applied to the object and/or the largest mass.

So, the set of conditions that would result in the smallest acceleration are:

Smallest net force: If the net force applied to an object is small, it will result in a smaller acceleration. For example, if a car is moving at a constant speed on a level road, the net force on the car is zero, and the acceleration is also zero.

Largest mass: If the object has a large mass, it will require a larger force to produce the same acceleration.

In order to calculate the direction of the vector, first let's draw its components:

since the horizontal component is positive and the vertical component is negative, the vector is pointing to the 4th quadrant.

To calculate the angle, we can use the arc tangent as follows:

Rounding to nearest tenth, the direction is -26.6°.

Answer:

C = 1.01

Explanation:

Given that,

Mass, m = 75 kg

The terminal velocity of the mass, \(v_t=60\ m/s\)

Area of cross section, \(A=0.33\ m^2\)

We need to find the drag coefficient. At terminal velocity, the weight is balanced by the drag on the object. So,

Weight of the object = drag force

R = W

or

\(\dfrac{1}{2}\rho CAv_t^2=mg\)

Where

\(\rho\) is the density of air = 1.225 kg/m³

C is drag coefficient

So,

\(C=\dfrac{2mg}{\rho Av_t^2}\\\\C=\dfrac{2\times 75\times 9.8}{1.225\times 0.33\times (60)^2}\\\\C=1.01\)

So, the drag coefficient is 1.01.

y(t) = tx(t) is a linear system, causal, time-variant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively.

Consider the input signal x(t) = a1x1(t) + a2x2(t),

where a1 and a2 are constants.

Then the output of the system is given by

y(t) = tx(t) = t(a1x1(t) + a2x2(t)) = a1

tx1(t) + a2

tx2(t) = a1y1

(t) + a2y2(t).

Therefore, this system is linear.b) y(t) = ax(t) + b,

where a and b are constants is a linear system, causal, time-invariant, and with memory.Let's show that this system is linear using superposition. Suppose

x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal

x(t) = a1x1(t) + a2x2(t),

where a1 and a2 are constants. Then the output of the system is given by

y(t) = ax(t) + b = a(a1x1(

t) + a2x2(t)) + b = a1ax1(t) + a2ax2(t) + b = a1y1(t) + a2y2(t).

Therefore, this system is linear.c)

y(t) = ax²(t) + bx(t) + c,

where a, b, and c are constants, is a nonlinear system, causal, time-invariant, and with memory. To see that it's nonlinear, consider two input  signals, x1(t) and x2(t), and let y1(t) and y2(t) be the corresponding outputs. Let x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants.

Then the output of the system is given

byy(t) = ax²(t) + bx(t) + c = a(a1x1(t) + a2x2(t))² + b(a1x1(t) + a2x2(t)) + c ≠ a1y1(t) + a2y2(t).

Therefore, this system is .d) y(t) = x(T)dT is a linear system,   time-invariant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants. Then the output of the system is given by

y(t) = x(T)dT = (a1x1(T) + a2x2(T))dT = a1x1(T)dT + a2x2(T)

dT = a1y1(t) + a2y2(t).

Therefore, this system is linear.

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The average temperature of the bar would be (15+30)/2 = 22.5 degrees C. To calculate the average temperature, temperature readings are taken at regular intervals, such as hourly or daily, and then the sum of all the readings is divided by the total number of readings taken.

The average temperature of the bar can be found by taking the average of the temperatures at the two ends.  
The temperature of a 10 m long metal bar increases linearly from 15 degrees C at the cooler end to 30 degrees C at the hotter end. To find the average temperature, simply calculate the midpoint between the two temperatures.

Average temperature = (15 + 30) / 2 = 45 / 2 = 22.5 degrees C
The average temperature of the bar is 22.5 degrees C.

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The height of the building using second equation of motion is 35.721 m

What is the second equation of motion?

In kinematics, equations of motion are referred to as the fundamental principles of an object's motion, including velocity, location, and acceleration that occur at variable time intervals. These three motion equations control motion in all three dimensions of an item.

Second equation of motion: s = ut +  a(t^2)/2

where,

s = displacement

u = initial velocity

v = final velocity

a = acceleration

t = time of motion

Given, a = 9.8 m/s/s

           t = 2.7 s

Using this equation we find the height of the building,

s = ut +  a(t^2)/2

  = 0 + 9.8 x 2.7 x 2.7/2

  = 71.442/2

  = 35.721 m

Hence, the height of the building is 35.721 m

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Answer:

It creates bad air so that’s like air pollution I guess

Explanation:

The water leaves the sprinkler holes at a speed of approximately 1.994 m/s.

To determine the speed at which water leaves the sprinkler holes, you can use the principle of continuity, which states that the product of the cross-sectional area and the speed of the fluid is constant in a continuous flow system. In this case, the garden hose and the sprinkler holes form a continuous flow system.

Step 1: Calculate the cross-sectional area of the garden hose.
Area_ hose = π × (diameter _hose / 2)²
Area_ hose = π × (0.021 m / 2)²
Area_ hose ≈ 0.00034636 m²

Step 2: Calculate the cross-sectional area of a single sprinkler hole.
Area_ hole = π × (diameter _hole / 2)²
Area_ hole = π × (0.0028 m / 2)²
Area_ hole ≈ 6.1542e-6 m²

Step 3: Calculate the total cross-sectional area of all 24 sprinkler holes.
Area_ total = Area_ hole × number_ of_ holes
Area_ total = 6.1542e-6 m² × 24
Area_ total ≈ 0.0001477 m²

Step 4: Apply the principle of continuity to find the speed of the water leaving the sprinkler holes.
Area_ hose × speed_ hose = Area_ total × speed_ holes
speed _holes = (Area_ hose × speed_ hose) / Area_ total
speed_ holes = (0.00034636 m² × 0.85 m/s) / 0.0001477 m²
speed_ holes ≈ 1.994 m/s

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To determine the resistance of a resistor in a circuit using Ohm's law, we need to know the voltage across the resistor and the current flowing through it. Ohm's law states that the resistance (R) of a component is equal to the voltage (V) across it divided by the current (I) flowing through it:

R = V / I

Ohm's law is a fundamental principle in electrical engineering and physics that describes the relationship between voltage, current, and resistance in an electrical circuit. It states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, while inversely proportional to the resistance of the conductor. Mathematically, Ohm's law is expressed as:

V = I * R

Where:

V represents the voltage across the conductor (measured in volts, V)

I represents the current flowing through the conductor (measured in amperes, A)

R represents the resistance of the conductor (measured in ohms, Ω)

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A train has an initial velocity of 44meter per second and an acceleration of 4meter per second.The final velocity after 10 seconds is 84m/s.

As we know,

Acceleration= Final velocity-Initial velocity /time.

where acceleartion = a=4m/s².

Initial velocity= u= 44m/s

let final velocity be v

Time =t = 10seconds.

Therefore, the equation is:

a=v-u/t

Substituting the values in the given equation, we get:

4=v-44/10

Now cross multiplying,

4×10 = v-44

40=v-44

40+44=v

v=84m/s

Therefore, the final velocity after 10 seconds is 84m/s.

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