Figure 5 shows a ray of light in an optical fibre.
Figure 5
Inside of optical fibre
What is the name given to the dotted line on Figure 5?
[1 mark]

In a crash rear-seat passengers in a vehicle can fly ahead with first-rate force injuring or killing passengers in the front seat. Option A.

There is a common misconception that people are safer in the back seat, but the reality is that rear-seat passengers who are not buckled up are more likely to die in a crash. Upon impact, they're often thrown forward into the back of front seats with significant force. Sit upright and you will have the least chance of getting an auto injury.

It will keep you secure and will lower your risk for serious injury. Headrests also protect you in the event of an accident. consistent with a recent study by the Insurance Institute for Highway Safety IIHS the back seat is no longer the safest place. In fact, sitting in the front seat increases your chances of surviving a car accident.

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r - Radius

h - Height

1. Area of a circle = π×r²

2. Circumference of a circle = 2×π×r

3. Volume of a cylinder = π×r²×h

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been a solid in three dimensions. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

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Answer:

Explanation:

Momentum = m * v  = .12 * 150 = 18 kg m/s

Answer:

Starting speed  Vo = 6.7 m/s

Explanation:

Given:

t = 9.0 s

S = 30 m

___________

V₀ - ?

The path is numerically equal to the area of  the figure lying under the velocity graph:

S = V₀* t / 2

Starting speed:

V₀ = 2*S / t = 2*30 / 9 ≈ 6.7 m/s

188.4 km/min is the beam of light moving along the shoreline.

The lighthouse is 5 km far away from the nearest Point P on a straight shoreline. This is often radius of the encirclement of the beam of light moving at 7 rpm.

At 7 rpm, One Circumference of the sunshine takes 70/7 = 10 seconds 2πr is= 2.π.5 km in 10 seconds or

In one second the beam covers 10π/10 = π km or 3.14 km/s.

Now, if the purpose P is 1 km away from the lighthouse, the Radius is reduced to 1 from 5 km,

Consequently The Angular displacement would remain the identical but the speed would be slower for one circumference i.e. 2πr in 10 seconds.

Or one second= (2π.1)/10

= .628π km

= π/10

= 3.14 km/s

By converting km/s into km/min

The answer will be = 188.4 km/min.

188.4 km/min fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from point P.

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If the truck exerts a force f on the sedan then Force f will exert on the truck.

According to newtons third law ,"every action have an equal and opposite

reaction".

If truck exerts a Force [tex]F_{ts}[/tex] on sedan then sedan will exert a force [tex]F_{st}[/tex] on truck and [tex]F_{ts}[/tex] = - [tex]F_{st}[/tex]

so, we can say that vehicle experiences a force of same magnitude.

given the truck exerts force on the sedan, so the sedan also exerts Force F on the truck.

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The non-conservative work done on the boy is 1.337 kJ

Given that,

Mass of boy, m = 68.1 kg

Initial speed of boy, u = 1,60 m/s

The boy then drops through a height of 1.56 m

Final speed of boy, v = 8.51 m/s

Now, we have to find the non-conservative work was  done on the boy.

The Work done by the non-conservative forces is equal to the sum of total change in kinetic energy and total change in potential energy.

[tex]W=\frac{1}{2}m (v^{2}-u^{2})+(0-mgh)[/tex]

[tex]W=\frac{1}{2}m (v^{2}-u^{2})-mgh[/tex]

[tex]W=\frac{1}{2}(68.1) ((8.51)^{2}-(1.60)^{2})-68.1*9.8*1.56[/tex]

W = 1337.62 Joules

or

W = 1.337 kJ

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The displacement of the team is 2.74 miles due east and 7.52 miles due north from where they started.

The eastward displacement of Ida Haitarun and his team during the cross country race is calculated by forming a right triangle from the displacement of the team.

The angle of inclination of the displacement is calculated as follows;

θ = 90⁰ - 20⁰ = 70⁰ (above the horizontal)

The eastward displacement is the base of the triangle and it is calculated as follows;

cos θ = base / hypotenuse side

cos 70 = base / 8 miles

base = (8 miles) x (cos 70)

base = 2.74 miles

The northward displacement is calculated as follows;

sin θ = height / hypotenuse side

sin 70 = height / 8 miles

height = (8 miles) x (sin 70)

height = 7.52 miles

Thus, the team is 2.74 miles due east and 7.52 miles due north from where they started.

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At initial speed must the quarter back through the ball for it to reach the reciver.

What is initial speed

The initial speed is the velocity at which motion start.

Sol-

The horizontal velocity is Vi*cos38.6and the vertical velocity is Vi*sin38.6

horizontal

28.4=Vi*cos38.6 time find time in terms of Vi.

Vertical

hf=hi+Vi*sin38.6*t -1/2 g t^2

now hf=hi=0

so

0=Vi*sin 38.6-1/2 g t and put the expression you got for t, then solve for Vi. You will encounter the need for one trig identity.

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Based on this knowledge,he is  most justified in concluding that the   originates between the Sun and the asteroid belt.

Comets are frozen leftovers from the formation of the solar system composed of dust, rock, and ices. They variety from a few miles to tens of miles wide, however as they orbit in the direction of the sun, they warmth up and spew gases and dirt right into a sparkling head that can be large than a planet. This cloth bureaucracy a tail that stretches thousands and thousands of miles.

Asteroids lack the magnetic area and atmosphere that shield us on earth from harm. Living internal an asteroid is one way to defend your self from harmful radiation, it is expected that by tunneling 100 meters deep beneath an asteroid, people would be sufficiently shielded from radiation.

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It is to be noted that electronegativity will assist the analyst in the determination of the nature of the interactions between the elements discovered by the Curiosity Rover.

The electronegativity values of two bound atoms indicate whether a bond is nonpolar or polar covalent, as determined by the bonding atoms' properties.

Electronegativity is a measurement of an atom's proclivity to attract electrons (or electron density) toward itself.

Electrons in a polar covalent bond are moved toward the more electronegative atom; consequently, the atom with the partial negative charge is the more electronegative atom. The bigger the electronegativity difference, the more polarized the electron arrangement and the larger the atoms' partial charges.

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If Johnny is driving North at 42 miles per hour and drives west at 37 miles per hour, then the resultant velocity would be 55.9 mph north, therefore the correct answer is option A.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem Johnny is driving North at 42 mph. Then drives west at 37 mph.

The resultant velocity of the Jhonny = √ ( 42² + 37² )

                                                            = 55.97 miles per hour

Thus, the resultant velocity of Jhonny would be 55.9 mph north, therefore the correct answer is option A.

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According to the given statement A toy car that initially increases its speed, travels constant speed, and then decreases its speed.

The correct option is B.

Speed, expressed in terms of meters per second, is the rate at which an object's location changes. An item moves one meter in one second, for instance, if it starts at the origin and moves three meters in three seconds. Simple division of time by distance yields the equation for speed.

Speedometers are tools that show a car's speed and are frequently paired with odometers, which keep track of the distance driven.

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The complete question is-

A student performs an experiment in which the horizontal position of a toy car is recorded on ticker tape from a device that places dots on the tape in equal time intervals. The series of dots in the figure represents the motion of an object moving from the negative direction to the positive direction along the horizontal direction. The time interval between each recorded dot is 1s. Which of the following experiments could the student have conducted to create the data shown on the ticker tape?

A toy car that initially increases its speed, travels at a constant speed, and then increases its speed again.

B-A toy car that initially increases its speed, travels at a constant speed, and then decreases its speed.

C-A toy car that initially decreases  its speed, and then increases  its speed.

D-A toy car that initially decreases its speed, travels at a constant speed, and then increases  its speed.

Answer: 1h

Explanation:

A heavy vehicle of mass 200 tones has a maximum speed of 20m/s up a hill inclined at 1.15 degree to horizontal when the engine is working at 800 kilowatts.  The resistance to motion of the truck will be 800 N

We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s).

since , Power = Force * velocity

Force = power / velocity

          = 800 * [tex]10^{3}[/tex]/ 20 = 4 * [tex]10^{4}[/tex] N

F net = 0

F - friction force - mg(sin (theta)) = 0

4 * [tex]10^{4}[/tex]  - fr - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15) =0

fr = resistive force = 4 * [tex]10^{4}[/tex] - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15)

fr = 800 N

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Answer:

Explanation:

 Given:

L  = 881.0  m

F = 28.0 N

___________

A - ?

The work :

A = L*F = 881.0 * 28.0 ≈ 24 670  J

It tells us that a toy has a mass of 3.0 kg, with a speed of 4.0 m/s.

We apply the following formula:

Ec = m * v²/2

We replace data and solve:

Ec = 3.0 kg* (4.0 m/s)²

Ec = 3.0 kg* 16 m²/s²/2

Ec = 48 kg * m²/s²/2

Ec = 24 kg * m²/s²

Ec = 24 N * m ========> Joules units

Ec = 24 J

When something, like a spring, is stretched, the added length is referred to as its extension.According to Hooke's law, as long as the limit of proportionality is not crossed, a spring's extension is directly proportionate to the force exerted.

Solve the problem ?

The spring's compression at the specified weight is 0.80cm.

"Your inquiry is incomplete because it appears to be lacking the information below,"

The taptap's spring has a k value of 2.4 104 N/m.

the settings provided;

Each of the 27 people weighs 69 kg.

Each of the three goats weighs 15 kg.

Each of the five hens weighs 3 kg.

The weight of the bananas is 25 kg

The taptap's total mass, which includes every passenger, is computed as;

the people's combined mass is 27 x 70 or 1960 kg.

The goats' combined mass is 3 x 15 =45 kg.

The birds' combined mass is equal to 5 x 3 = 15 kg.

The bananas weigh a total of 25 kilograms

The extension of the spring

=   1960×9.8/2.4×104

= 19208/24000

=  0.80 cm

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Given the fact that the friction between the van and the road would increase, then the sand bags would help.

The term friction has to do with the force that opposes the movement of an object on another. This in a sense implies that the frictional force is a resistive force. It can help to slow an object down and this is why the braking system of a car operates on the principle of friction.

Now, we are told that to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road.

The task is to determine if the sand bags would be of help. We have to note that the sand bags would help to increase the friction between the car and the road so it would definitely be of help.

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Wind speeds of above 56 kilometers per hour (35 miles per hour) are common during blizzards. These winds reduce visibility by causing a lot of snow to blow around in the air and close to the ground.

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It is distinguished from the other planets by the presence of liquid water on its surface, the presence of life, and active plate movement. It rotates on its axis once every 24 hours (a day) and orbits the Sun once every 365 days (a year). The Earth has a single moon.

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Mechanical robots had first appeared in Milan, Italy, and then in other cities.

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If the second player moved horizontally, the speed he must maintain to catch the ball is 27.67 m/s.

The range of the projectile is the maximum horizontal distance travelled by the ball.

R = (u²sin(2θ)) / (g)

where;

R = (32² x sin(2 x 30) ) / (9.8)

R = 90.49 m

The time of motion of the ball is calculated as follows;

R = uₓt

where;

R = ucosθ(t)

t = R/ucosθ

t = (90.49) / (32 cos30)

t = 3.27 seconds

If the second player moved horizontally, the speed he must maintain to catch the ball is calculated as;

R = Ut

U = R/t

U = (90.49) / (3.27)

U = 27.67 m/s

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The magnitude of the induced emf in the loop is 1mV.

The formula to be used is:

E = B (dA/dt)

B = magnetic of magnetic field parallel to the axis of loop = 0.5 T

dA/dt = rate of change of area of the loop = 20 cm²/s = 20 x 10⁻⁴ m²

θ = Angle of the magnetic field with the area vector = 0

E = emf induced in the loop

Now, plugging in the values we get:

E = B (dA/dt)

E = (0.5) (20 x 10⁻⁴ )

E = 10 x [tex]10^{-4}[/tex] volts

E = 1 mV

Therefore,  the magnitude of the induced emf in the loop is 1mV.

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Limiting factors are those factors which limits the growth in the ecosystem. Examples of limiting factors include temperature, sunlight, soil configuration, precipitation and nutrients. It is important to know what the limiting factor is for the limiting factors greatly affects the growth of the plants. Not considering these limiting factors would result in the failure of growing the plants in a greenhouse.

What is Limiting factors ?

Any element (variable) in the environment that has the potential to restrict a process, such as the expansion, abundance, or distribution of a population of species in an ecosystem, is referred to as a limiting factor. Both density-dependent and density-independent limiting variables are possible. Those that depend on population density have a tendency to restrict population increase, abundance, or dispersal. On the other hand, a limiting factor that is independent of population density can restrict population expansion, abundance, or dispersal.

Limiting factors are those factors which limits the growth in the ecosystem. Examples of limiting factors include temperature, sunlight, soil configuration, precipitation and nutrients. It is important to know what the limiting factor is for the limiting factors greatly affects the growth of the plants. Not considering these limiting factors would result in the failure of growing the plants in a greenhouse.

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The equation for calculating the electrical force between two charges is: F = Kq₁q₂ / d²

Considering the options given in the question, we can obtain the equation for calculating electrical force as shown.

Coulomb's law states as follow:

F = Kq₁q₂ / d²

Where

With the above equation, we can easily determine the force between two charges.

For example find the force between two charges of charge 1 C and 2 C which are 1.5 m apart.

We can obtain the force as follow:

F = Kq₁q₂ / d²

F = (9×10⁹ × 1 × 2) / (1.5)²

F = 18×10⁹ / 2.25

F = 8×10⁹ N

Thus, we can see clearly that the equation F = Kq₁q₂ / d² can be use to calculate the force between t two charges.

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Considering the definition isotopes and atomic mass of an element, the average atomic mass of element x is 12.1

The same chemical element can have the same atomic numbers, but the number of neutrons is different. These atoms are called isotopes of the element.

The atomic masses of chemical elements are calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

In this case, you know:

The average mass of the element x can be calculated as:

average mass of element x=12 amu×0.95 + 14 amu×0.05

average mass of element x= 12.1 amu

Finally, the atomic mass of the element x is 12.1.

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The period of a satellite orbiting mercury 265,000 m above its surface is 100 minutes if the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg.

v = √ G M / r

r = R + d

v = Orbital velocity

G = Gravitational constant

M = Mass of planet

r = Radius of the orbit

R = Radius of planet ( mercury )

d = Distance from surface to satellite

m = 3.2 * [tex]10^{23}[/tex] kg

R = 2.43 * [tex]10^{6}[/tex] m

d = 265000 m

G = 6.67 * [tex]10^{-11}[/tex] N m² / kg²

r = R + d

r = 2.43 * [tex]10^{6}[/tex] + 265000

r = 2.695 * [tex]10^{6}[/tex] m

v = √ ( 6.67 * [tex]10^{-11}[/tex] * 3.2 * [tex]10^{23}[/tex] ) / 2.695 * [tex]10^{6}[/tex]

v = √ 7.92 * [tex]10^{6}[/tex]

v = 2.81 * 10³ m / s

v = 2.81 km / s

v = 2 π r / T

T = Time period

T = 2 * 3.14 * 2.695 * [tex]10^{6}[/tex] / 2.81 * 10³

T = 6.02 * 10³ s

T = 100 minutes

Therefore, the period of a satellite orbiting mercury is 100 minutes

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Answer: (A)

Explanation: the answer will be A because a force is acting on the block from the right side to the left side and another from the bottom upwards. So the two forces together will make the block move diagonally to the left. There is no force in the opposing direction of these two force.  B is wrong as there is no force acting on the left side. C is wrong as there is no force acting downward. D is wrong as there is no force acting to the right and from above

535.1 Newton Force is the magnitude of the acceleration of the chair.

Fnet=Fp×cos35-F

=164×cos35-91

=43.34 N

a=Fnet/m

=43.34/45

=0.963 m/s^2

FN = mg + Fp×sin35

=45×9.8+164×sin35

=535.1 N

Newton is the abbreviation for the SI unit of absolute force known as newton (N). It is described as the amount of force required to accelerate a kilogram of mass by one meter per second. In the foot pound second system, one newton is equivalent to around 0.2248 pounds of force or 100,000 dyne in the centimeter gram second (CGS) system. The newton was given its name in  of Sir Isaac Newton, whose second rule of motion outlines the modifications that a force may cause in a body motion.

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