QUESTION 1
1.1 Define the term acceleration in words

The acceleration of the truck is 45.5 m/s² and the velocity of the truck is 27.8 m/s.

The acceleration of the truck is calculated as follows;

F = ma

a = F/m

a = (2.685 x 10⁵)/(5900)

a = 45.5 m/s²

a = v²/r

v² = ar

v² = 45.5 x 17

v² = 773.64

v = 27.8 m/s

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Answer:

Approximately [tex]21.6\; {\rm m\cdot s^{-1}}[/tex], assuming that the coefficient of kinetic friction between the tires and the ground stays the same.

Explanation:

Let [tex]\mu_{k}[/tex] denote the coefficient of kinetic friction between the tires and the ground.

Let [tex]m[/tex] denote the mass of the truck. Let [tex]g[/tex] denote the gravitational field strength. The weight of this truck would be [tex]m\, g[/tex]. Since the curve is flat, the magnitude of the normal force [tex]F_\text{normal}[/tex] between the truck and the ground would also be [tex]m\, g\![/tex].

Let [tex]v = 32.5\; {\rm m\cdot s^{-1}}[/tex] denote the speed at which the truck goes around the curve with a radius of [tex]150\; {\rm m}[/tex]. The (horizontal) centripetal acceleration of the truck would be:

[tex]\displaystyle a = \frac{v^{2}}{r}[/tex].

The horizontal net force on the truck (of mass [tex]m[/tex]) would need to be exactly:

[tex]\displaystyle F_\text{net} = m\, a = \frac{m\, v^{2}}{r}[/tex].

The friction between the tires of the truck and the ground is the only horizontal force on the truck. Thus, this friction would need to supply the entirety of this horizontal net force:

[tex]\displaystyle F_\text{friction} = F_\text{net} = \frac{m\, v^{2}}{r}[/tex].

Notice that increasing [tex]v[/tex] would require an increase in the kinetic friction between the truck, [tex]F_\text{friction}[/tex]. However, since [tex]F_\text{friction}\![/tex] is at most [tex]\mu_{k}\, F_\text{normal}[/tex] (which is equal to [tex]\mu_{k}\, m\, g[/tex]):

[tex]\begin{aligned}\frac{m\, v^{2}}{r} &= F_\text{friction} \\ & \le \mu_{k}\, F_\text{normal} \\ &= \mu_{k}\, m\, g\end{aligned}[/tex].

Therefore, when the radius of the curve is [tex]r^{\prime}[/tex], the maximum velocity of this truck would be:

[tex]\begin{aligned}v^{\prime} &= \sqrt{\mu_{k}\, g\, r^{\prime}}\end{aligned}[/tex].

Likewise, it is possible to express [tex]\mu_{k}[/tex] in terms of [tex]r[/tex], [tex]g[/tex], and max speed [tex]v[/tex]:

[tex]\displaystyle \mu_{k} = \frac{v^{2}}{r\, g}[/tex].

Substitute this expression for [tex]\mu_{k}[/tex] back into the expression for [tex]v^{\prime}[/tex]:

[tex]\begin{aligned}v^{\prime} &= \sqrt{\mu_{k}\, g\, r^{\prime}} \\ &= \sqrt{\frac{v^{2}}{r\, g}\, g\, r^{\prime}} \\ &= \sqrt{v^{2}\, \frac{r^{\prime}}{r}}\end{aligned}[/tex].

Given that [tex]v = 32.5\; {\rm m\cdot s^{-1}}[/tex], [tex]r = 150\; {\rm m}[/tex], and [tex]r^{\prime} = 66.0\; {\rm m}[/tex]:

[tex]\begin{aligned}v^{\prime} &= \sqrt{v^{2}\, \frac{r^{\prime}}{r}} \\ &= \sqrt{(32.5\; {\rm m\cdot s^{-1}})^{2} \times \frac{66.0\; {\rm m}}{150\; {\rm m}}} \\ &\approx 21.6\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

Answer:

B. Negative acceleration means this car is slowing down.

Explanation:

for the other screenshot

Average acceleration = change in velocity /change in time.

[a = ∆V/∆t] —this the formula.

NOTE:

u = initial velocity (velocity it started with)

v = final velocity (velocity it ended with)

t = time {the time you were given)

a = acceleration.

listing out our givens:

u =o —(the unit is m/s)

v = 40 —(the unit is also m/s)

t = 0.08 —(the unit is s) "s" means second(s).

Soo

a = 40-0 / 0.08 = 500 m/s² ( unit for velocity is m/s²)

( Remember when using the formula we subtract the initial from the final velocity.........I mean we remove the initial from final) if not you will get a negative answer or wrong answer).

also note: final velocity is always bigger in value than initial velocity EXCEPT it is in deceleration meaning for example a car that was speeding is gradually stopping then initial (the one it started with) will be bigger than the one it ended with (because as it gradually stops the speed reduces).

VELOCITY is speed in a specified direction.

you're super free to ask any questions

Good luck ✅.

Answer:

speed

Explanation:

In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.

Answer:

Texture is how something feels.

Answer:

the forces are balanced :)

Explanation:

Answer:

i = 0.483 A

Explanation:

B = [tex]\frac{U.i}{2pi*r}[/tex]

So, here the r is 0.225 m

The Magnetic field is 4.29 x [tex]10^{-7}[/tex] t

U. = 4π x [tex]10^{-7}[/tex] x i

4.29 x [tex]10^{-7}[/tex] = (4π x [tex]10^{-7}[/tex] x i) / (2π * 0.225)

Cutting  [tex]10^{-7}[/tex]

4.29 = [tex]\frac{4π * i}{2π * 0.225}[/tex]

4π and 2π canceled, left with 2

4.29 = [tex]\frac{2i}{0.225}[/tex]

4.29*0.225 = 2i

0.96525 = 2i

i = [tex]\frac{0.96525}{2}[/tex]

i = 0.482625 A

Rounding to 3 digits after decimal, we get

∴ i = 0.483 A

All the following are momentum oscillators except Advance/Decline Line.

Momentum oscillators measure the amount that a security's price has changed over a given period of time.

Thus, all the following are momentum oscillators except Advance/Decline Line.

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The final velocity of the girl after the collision is determined as -4.8 m/s.

The final velocity of the girl is determined from the principle of conservation of linear momentum.

m1u1 + m2u2 = m1v1 + m2v2

50(0) + 80(0) = 50(v1) + 80(3)

0 = 50v1 + 240

50v1 = -240

v1 = -240/50

v1 = -4.8 m/s

Thus, the final velocity of the girl after the collision is determined as -4.8 m/s.

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Answer:

By ADDING the forces

Explanation:

Answer:

See below ~

Explanation:

An object will sink in water when its density is greater than that of water, which is 1 g/cm³.

Volume of the box is 1331 cm³. (11³)

Maximum mass of sand will be 1331 g. [because 1331/1331 = 1 g/cm³]

If the volume of sand is greater than 380.29 cm³, the box will sink in water.

The magnitude of the electric field inside the conductor will be 0.208 N/C.

An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.

Given data;

length of rod = 25 cm = 0.25 m

Potential Difference = 52 mV = 0.052 Volts

The electric field is found as the ratio of the potential difference and the length;

[tex]\rm E =\frac{0.052}{0.25} \\\\ E=0.208 \ N/C[/tex]

Hence,the magnitude of the electric field inside the conductor will be 0.208 N/C.

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The simplest compound of hydrocarbon is methane

The electron structure attached

The evidence that supports continental drift and plate tectonics includes different fossils, the same rocks and the shapes of continents that fit together.

Continental drift is a theory that states continents once were part of one big landmass known as Pangea.

Nowadays, the theory of continental drift proposed by Alfred Wegener has been replaced by plate tectonics.

In conclusion, the evidence that supports continental drift and plate tectonics includes fossils, the same rocks and the shapes of continents that fit together.

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(a) The mass of the car is 1,795.92 kg

(b) The initial momentum of the car is 44,897.96 kgm/s.

(c) the change in momentum for the car is 44,897.96 kgm/s..

(d) The time it takes the braking force to bring the car to rest is 69.4 s.

The mass of the car is calculated as follows;

W = mg

m = W/g

m = (17,600)/9.8

m = 1,795.92 kg

Pi = mvi

Pi = 1,795.92 x 25

Pi = 44,897.96 kgm/s

ΔP = Pf - Pi

ΔP = 0(1,795.92) - 44,897.96 kgm/s

ΔP =  - 44,897.96 kgm/s

F = ma

-650 = 1,795.92(a)

a = -650/1,795.92

a = -0.36 m/s²

v = u + at

0 = 25 - 0.36t

0.36t = 25

t = 69.4 s

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The dielectric constant of the unknown material is 2.3.

Dielectric constant is referred as a relative permittivity or amount of charge required to produce one unit of electric flux in a given medium.

Given the speed of light in vacuum c =3 x 10⁸ m/s and the speed of light through an unknown material v = 1.98 x 10⁸ m/s.

The dielectric constant is related to the velocity by the following relation,

v = c/√K

Rearranging for dielectric constant, we get

K = (c/v)²

Substitute the value into the expression ,we get

K =(3 x 10⁸ / 1.98 x 10⁸)²

K = 2.3

Thus, the dielectric constant of the unknown material is 2.3.

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Examples of analog signals are Human voice, Thermometer, Analog phones etc.

Signal is defined as an electromagnetic wave that carries information through a medium. In this, the data is converted into electromagnetic signal which may be analog or digital and then sent from sender to receiver.

Signal which are continuous as time varies are analog signals.

Thus, examples of analog signals are Human voice, Thermometer, Analog phones etc.

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Answer:

Examples of analog signals are Human voice, Thermometer, Analog phones etc. Examples of digital signals are Computers, Digital Phones, Digital pens, etc.

Answer: True

Explanation:

A scalar quantity is those quantities that only have magnitude and no direction. Therefore the value doesn't change with direction.

Answer:

E = V Q        voltage * charge

Since the charge on an electron is      e = 1.6E-19    coulombs

the energy of 1 eV is 1.6E-19 joules

E = 2.88E-18 joules / 1.6E-19 joules/electron volt

E = 18 eV

Answer:

The momentum will quadruple

Explanation:

Original momentum

momen = mv

now increase both

 momen = 2m * 2v = 4 mv  <====== the momentum has quadrupled

Plasma osmolarity increases when you give a severely dehydrated person large amounts of pure water.

The electrolyte–water balance of the body is measured by plasma osmolality. This amount can be determined in a variety of ways, including measurement and computation.

Osmolality and osmolarity are two separate measurements that are used interchangeably in everyday situations.

When you are dehydrated, osmolality rises, and when you have too much fluid in your blood, it drops.

The way your body regulates osmolality is unique. When your body's osmolality rises, your body produces antidiuretic hormone.

Hence,plasma osmolarity increases when you give a severely dehydrated person large amounts of pure water.

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Answer:

Speed is a "scalar" quantity

(C) is the correct answer

An object could travel at 10 m/s to some point and then return to the origin at 10 m/s for an average speed of 10 m/s, however it's displacement over that time would be zero for a net velocity of zero.

Based on the calculations, the radius of this cone is equal to 4 inches.

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × r²h

Where:

Making r the subject of formula, we have:

r = √(3V/πh)

Substituting the given parameters into the formula, we have;

r = √(3 × 96π/π × 18)

r = √(288/18)

r = √16

Radius, r = 4 inches.

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Answer:

Continental polar.

Explanation:

it should be a continental polar air mass because, it is cold.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to first law of reflection, we know that :

Angle made by the incident ray and normal [ i.e angle of incidence ] is always equal to Angle made by the reflected ray and normal [ i.e Angle of reflection ]

Therefore, we can say that the missing angle (angle of reflection) has the same value as the angle of incidence which is equal to 45°

Please read the statement through to understand the procedure ~

Answer:

Earth rotates eastward, in prograde motion. As viewed from the north pole star Polaris, Earth turns counterclockwise.

The time it takes Earth to rotate so the sun appears in the same position in the sky, known as a solar day, is 24 hours. However, the time it takes Earth to complete one full rotation on its axis with respect to distant stars is actually 23 hours 56 minutes 4.091 seconds, known as a sidereal day.

Earth's axis is an imaginary pole going right through the center of Earth from "top" to "bottom." Earth spins around this pole, making one complete turn each day. That is why we have day and night, and why every part of Earth's surface gets some of each. Earth has seasons because its axis doesn't stand up straight.

Earth and sun are part of the solar system, with the sun at its centre. An Earth day is 24 hours because the Earth spins on its axis once every 24 hours. At any one time half of the Earth's sphere is in sunlight (day) while the other half is in darkness (night).

The Earth's axis runs from the North Pole to the South Pole. It takes the Earth 24 hours, or one day, to make one complete rotation around this invisible line. As the Earth rotates, each area of its surface gets a turn to face and be warmed by the sun. This is important to all life on Earth

a is the correct answer

Explanation:

no.of proton defines atomic number in an atom

Answer: a

Explanation:

An atomic number is the number of protons found in the nucleus. The number of protons is equal to the number of electrons. The atomic mass the atomic number add the amount of neutrons.