The basic requirement for a cloud to collapse to form a star is that __________.

The correct answer is as per graph displacement and acceleration is initially 0 m & 0 m/s^2, at middle 0 m & Infinity m/s^2 and finally 320 m & 5 m/s^2 respectively.

What is relation between velocity & acceleration with respect to displacement and time?

Velocity = Displacement / Time

Acceleration = Velocity / Time

Given data:

V1 = 40 m /s, t = 0 (Initial Velocity)

Displacement = 40 x 0 = 0 m,

Acceleration = 40 / 0 = 0 m/s^2

V2 = 0 m/s, t = 4 sec

Displacement = 0 x 4 = 0 m,

Acceleration = 0 / 4 = Infinity m/s^2

V3 = -40 m/s, t = 8 sec

Displacement = -40 x 8 = 320 m (in opposite direction)

Acceleration = -40 / 8 = 5 m/s^2

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The acceleration due to gravity on the asteroid, given that it has a mass of 1.00×10⁴ kg and a radius of 20.0 m is 1.67×10¯⁹ m/s²

Acceleration due to gravity of planets can be obtained by using the following formula:

g = GM / R²

Where

Now, we shall apply the above formula, to determine the acceleration due to gravity on the asteroid. Details below                                                                                  

g = GM / R²

g = (6.67×10¯¹¹ × 1.00×10⁴) / (20)²

g = 6.67×10¯⁷ / 400

g = 1.67×10¯⁹ m/s²

Thus, we can conclude that the acceleration due to gravity on the asteroid is 1.67×10¯⁹ m/s²

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The best shows ax and ay when the object reaches the highest point in its trajectory is aₓ = 0 and [tex]a_y[/tex] acting downwards. So the 2nd potion is correct.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

A projectile is an object or particle that is launched toward the surface of the earth and moves along a curved route solely due to the force of gravity. In order to evaluate this type of motion, the acceleration and velocity components are split into separate analyses for the horizontal and vertical directions.

At the highest point in object's trajectory;

Acceleration due to gravity acts along negative y axis and no acceleration acts long x axis. so accelerations along x and y axis can be represented by    aₓ = 0 and [tex]a_y[/tex] acting downwards. So the 2nd potion is correct.

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The position of the image is at infinity, nature is real and the size of the image formed is highly magnified.

A concave mirror has a reflective floor that is curved inward and far from the light source. Concave mirrors mirror mild inward to at least one focal length. not like convex mirrors, the picture shaped by a concave replicate suggests exceptional photo sorts depending on the space between the item and the replicate.

Calculation:-

1/f = 1/v + 1/u

1/10 = 1/v + 1/10

V = infinity

The size of the image is Highly magnified and real.

Concave mirrors form both real and virtual photos. while the concave reflect is positioned very close to the object, a digital and magnified photo is received, and if we grow the gap between the object and the mirror, the size of the picture reduces, and real snapshots are shaped.

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The maximum acceleration attained on the interval 0 ≤ t ≤ 3 by the particle is equal to 21 m/s².

Acceleration of an object can be described as the change in velocity of the object with respect to time. Acceleration can be described as the first derivative of the velocity of an object with respect to time.

The expression for the acceleration in terms of velocity can be represented as:

[tex]{\displaystyle a =\frac{dv}{dt}[/tex]

Given the expression of the velocity is v (t) = t³ - 3t² + 12t +4

dv/dt = v'(t) = d/dt(t³ - 3t² + 12t +4)

a(t) = 3t² - 6t +12

At time t = 0 , a(0) = 3(0)² - 6(0) +12 = 12

At time t = 3s, a(3) = 3(3)² - 6(3) +12 = 21

Therefore, the maximum acceleration attained on the interval 0 ≤ t ≤ 3 is equal to 21.

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a) The brick was in the air for 7.84 sec.

b) The maximum horizontal distance traveled by the brick is 9.1 m.

When a particle is thrown obliquely near the surface of the Earth, it travels in a curved path with constant acceleration towards the center of the Earth (assuming the particle stays near the surface). Such a particle trajectory is said to be a projectile, and the motion is called projectile motion.

Time of flight (T) = 2usinθg

Where, u = initial velocity (15 m/s)

θ = 25°

g = 9.8 m/s²

T = 2 × 0.4 × 9.8

T = 7.84 s

Horizontal distance or range (R):

R = [tex]\frac{u^{2}sin2\theta }{2g}[/tex]

R = 9.1 m

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The speed the second ball must be thrown so that it reaches the same height as the one thrown vertically is 40.84 m/s.

The maximum height travelled by the first ball is calculated by applying the following kinematic equation as shown below;

h = vt + ¹/₂gt²

where;

h = 0 + ¹/₂gt²

h = ¹/₂gt²

h = ¹/₂(9.8)(2.39²)

h = 28 m

The speed the second ball must be thrown so that it reaches the same height as the one thrown vertically is calculated as follows;

h = (u²sin²θ)/2g

u²sin²θ = 2gh

u² = (2gh) / (sin²θ)

u² = (2 x 9.8 x 28) / (sin 35)²

u² = 1,668.1

u = √1,668.1

u = 40.84 m/s

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On the basis of their speed comparison, the truck has a much higher speed than the car.

what is linear momentum?

The relationship between an object's mass (m) and velocity (v) is known as its linear momentum.

An equation can be used to explain this relationship. Momentum is defined as the body's mass times its velocity, P = m /times v, etc.

Main body:

The mass of the truck is significantly greater than the mass of the car because the semitrailer truck is enormous and the car is little. It is obvious that with a constant momentum, greater mass results in slower speed and less mass results in faster speed.

Inertia in motion is expressed by the term momentum. The product of an object's mass and velocity is its momentum. Because of its greater bulk, a moving truck has more momentum than a car travelling at the same speed. A truck may go with less momentum than a fast car.

Therefore, on the basis of their speed comparison, the truck has a much higher speed than the car.

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The mass of soccer ball is 5 kg. A ball got a force (50 N) which caused change in momentum for 25 second.

The value of the change in momentum can be described below :

The change in momentum is called as Impuls.

The formula of Impuls --> I = F × t

I = Impuls, F = Force (N), t = time (s)

I = F × t

I = 50 × 25 = 1250 Ns

So, the change in momentum of 5 kg ball is 1250 Ns.

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Answer:

When different insulating materials rub against each other, they can become electrically charged. When the cloth is rubbed against the rod, the friction causes electrons to gain energy, transferring themselves to the rod and therefore becoming posively charged. The rod is now negatively charged as it has gained electrons.

A piece of clay sits 0.22 m from the center of a potter’s wheel. If the potter spins the wheel at an angular speed of 20.5 rad/s, The magnitude of the centripetal acceleration of the piece of clay on the wheel will be 92.455 [tex]m/s^{2}[/tex]

Centripetal acceleration is defined as the property of the motion of an object, traversing a circular path. Any object that is moving in a circle and has an acceleration vector pointed towards the center of that circle is known as Centripetal acceleration.

centripetal acceleration = r * [tex]omega^{2}[/tex]

r = radius

omega = angular speed

acceleration = 0.22 * [tex]20.5^{2}[/tex] = 92.455 [tex]m/s^{2}[/tex]

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The Moist unit weight of the soil with a moist weight of 102.3 N, moisture content of 11 % and specific gravity of 2.7 is 18.27 KN / m³

Moist weight = 102.3 N

Volume = 5600 cm³

Water content, w = 0.11

Specific gravity, G = 2.7

a ) Moist unit weight, γ[tex]_{b}[/tex]

γ[tex]_{b}[/tex] = Moist weight / Volume

γ[tex]_{b}[/tex] = 102.3 / 5600 * [tex]10^{-6}[/tex]

γ[tex]_{b}[/tex] = 18.27 KN / m³

b ) Dry unit weight, γ[tex]_{d}[/tex]

γ[tex]_{d}[/tex] = γ[tex]_{b}[/tex] / 1 + w

γ[tex]_{d}[/tex] = 18.27 / ( 1 + 0.11 )

γ[tex]_{d}[/tex] = 16.46 KN / m³

c ) Void ratio, e

γ[tex]_{d}[/tex] = G γ[tex]_{w}[/tex] / ( 1 + e )

16.46 = 2.7 * 9.81 / ( 1 + e )

1 + e = 1.61

e = 0.61

d ) Porosity, n

n = e / ( 1 + e )

n = 0.61 / ( 1 + 0.61 )

n = 0.38

e ) Degree of saturation, s

s = G w / e

s = 2.7 * 0.11 / 0.61

s = 0.487

s = 48.7 %

f ) Volume occupied by water, V

V = G w

V = 2.7 * 0.11

V = 0.297

Therefore,

γ[tex]_{b}[/tex] = 18.27 KN / m³

γ[tex]_{d}[/tex] = 16.46 KN / m³

e = 0.61

n = 0.38

s = 48.7 %

V = 0.297

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The change in momentum applied by a boxer to his rival when he strikes him with a force of 200N in 0.05s is 10 Ns

Momentum can be defined as "mass in motion". All objects have mass. So if an object is moving, it has momentum and its mass is moving. An object's momentum depends on two variables: How much matter is moving and how fast is it moving? It is the strength or power gained by a movement or sequence of events.

Momentum (P) equals mass (M) times velocity (v). However there are other ways to think about momentum. Force (F) is equal to change in momentum (ΔP) with respect to change in time (Δt). Also, the change in momentum (ΔP) is equal to the momentum (J). Impulse has the same units as impulse (kg*m/s or N*s).

ΔP = F × Δt

ΔP = 200 × 0.05

ΔP = 10 Ns

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The coefficient of kinetic friction between the box and the floor is 0.87.

The coefficient of kinetic friction between the box and the floor is calculated by applying the formula for net force on the box.

F(net) = ma

where;

at a constant velocity, the acceleration of the box, a = 0

F(net) = 0

The net force is obtained from the applied force and force of friction;

Fcosθ - μmg = 0

where;

μmg  = Fcosθ

μ = Fcosθ / mg

μ = (485 x cos55) / (32.6 x 9.8)

μ = 0.87

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Answer: P = FV becuase all of them are equal in strength.

Explanation: In the straight forward cases where a constant force moves an object at constant velocity, the power is just P = Fv. In a more general case where the velocity is not in the same direction as the force, then the scalar product offorce and velocity must be used. P = Power, F = Force, V = Velocity.

Hoped This Helped!

Answer:

F-V

Explanation:

remember that power = work/time = force × distance/time = force × velocity).

Answer:Lack of experience.

Explanation:

Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.

An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. The net force on the airplane will be 700 N

Force with which airplane is flying ( F1 ) = 800 N

opposite to which two forces are acting

air resistance = 40 N

wind force = 60 N

net force = F1 - 40 - 60 = 800 - 100 = 700 N

The net force on the airplane will be 700 N

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The momentum of the truck is 40,000 kg m/s

Given mass of a truck = 4000 kg

mass when expressed in grams will be

mass of a truck = 4 grams

However since the standard unit of momentum is kg m/s we will not convert the units

And the velocity which is given is 10 m/s

And momentum can be defined as the product of mass and velocity

thus momentum = mass × velocity

momentum = 4000 × 10

momentum = 40000 kg m/s

Thus the momentum of the truck is 40,000 kg m/s

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The period of the this given oscilloscope trace from an AC supply is calculated as 1 * 10⁻³ seconds.

Period of a wave is the inverse of the frequency so the formula for wave period is,  T = 1 / f , where T is period which is the time taken for one cycle to complete, and F is frequency.

To obtain period from frequency, first you have to convert frequency from Hertz to 1/s and then divide 1 by the frequency. The period of a wave is measured in seconds (s), while the frequency is measured in Hertz (Hz).

Given each horizontal division is 2ms

the time= 10ms

Period = 1/T

= 1/10ms

= 0.1ms  

Period = 1 * 10⁻³ seconds

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Answer:

Like everything in life, organisation is important. One major reason is the systematic and structural building of the subject into different levels so it becomes easier to study each separately as opposed to the whole in one go.

Also, it shows how each level integrates into the next in a clear and simpler way.

when we study about cells, as the basic building block of living things, we can focus on the cell as a unit and its structures and the multitude of processes that take place within its membrane and without, we learn how living organisms whether unicellular or multicellular survive. The field of microbiology is well suited to that level.

The next level of tissues, illustrates how similar cells interact and form a group.

Going into organs, different tissues have to be compatible so they can perform specific function(s). This surely is important to illustrate the performance of organs as part of systems.

A whole living organism is a collection of all those systems working together and coordinating on a constant and continuous basis to make sure that the biological machinery is fully functional, free of ailments and diseases.

A healthy organism needs to make sure that all levels are in synchrony to be able to survive and pass on its genetic information to the next offspring to ensure the survival of the species

He was solely consuming high-fat foods until recently, when he began consuming nutritious foods.

Briefing:

Instead of helping you lose weight, hopping from one diet fad to another can make you put on weight. Your daily calorie intake can fluctuate significantly, which can cause your metabolism to slow down. To adjust to new food, your metabolism needs about three weeks.

Obesity is typically brought on by excessive eating and insufficient exercise. A large portion of the excess energy will be stored by the body as fat if you consume large amounts of energy, especially fat and sugars, without expelling it through exercise and physical activity.

Even if the food is good for you, the calories can still add up and result in a weight loss plateau or even weight gain.

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The water can be conserved by some of the given tips, turn off the water when washing your hands, Carry a refillable water bottle, Skip the tray in the lunch line, use only one plate, Report leaks to the appropriate authorities, etc.

The protection, management, and development of surface and groundwater resources as well as pollution prevention.

There are some tips to conserve water or reduce water use in school,

Therefore, these recommendations for pupils on how to conserve water at school may seem minor or small in comparison to the tremendous environmental issues that exist today.

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Suppose a hockey puck slides down a frictionless ramp with an acceleration of 4.10 m/s2 . The angle that the ramp make with respect to the horizontal will be  24.71°

F net = 0

mg sin(theta ) = mass * acceleration

sin(theta) = a /g

theta =  [tex]sin^{-1}[/tex] ( a / g)

        =  [tex]sin^{-1}[/tex] ( 4.10 / 9.8 )

        =  [tex]sin^{-1}[/tex] ( 0.418 )

        = 24.71°

The angle that the ramp make with respect to the horizontal will be  24.71°

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The velocity of the car will be 22.98 m/s with a momentum of 50000 kgms and has a mass of 2175 kg.

Momentum is the term used to describe the state of motion of an item whose mass is non-zero. Thus, momentum has an impact on all moving objects. p=mv, where m is an object's mass and v is its rate of motion, is the formula for momentum. Due to its classification as a part of velocity, momentum is a vector. This implies that momentum has a sizeable magnitude and a clear direction, with the latter shown by a vector or an arrow. A certain mass and speed are two examples of when an object has momentum. Momentum always remains constant as a result. Momentum conservation law states as such.

The formula of momentum will be:

p = mv

where, p = momentum = 50000 kgms

            m = mass =  2175 kg.

            v = velocity = ?

substitute the given values,

momentum = mass x velocity

50000 =2175 x v

v = 50000 / 2175

=22.98 m/s

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An expression for velocity, v, of the meteoroid's speed at the planet's surface, in terms of G, M, v, R1, and R is v = v₁ - √{2GM/(R₁ - R)}

The value of v, the meteoroid's speed at the planet's surface, in meters per second is 2.596 * 10⁷ m/s.

The speed of the meteoroid is equal to the difference between the speed of the meteorite, v₁, and the escape velocity of the meteorite from the gravitational pull of the planet.

The escape velocity of an object is equal is the velocity of an object which when summed with the gravitational potential energy of the object is equal to zero.

The formula for escape velocity, Ve, is given below:

Ve = √2GM/r

where;

G = universal gravitational constant

M = mass of the body to be escaped from

r = distance from the center of the mass

G is the gravitational constant = 6.67 * 10⁻¹¹ m³kg⁻¹s⁻²

v₁ = 2.6 * 10⁷ m/s

Hence, the velocity of the meteorite will be:

v = v₁ - √{2GM/(R₁ - R)}

Calculating the velocity, v

v = 2.6 * 10⁷ m/s - √{(2 * 6.67 * 10⁻¹¹ * 9.6 * 10²⁵ ) / (1.6 * 10⁷ - 0.22 * 10⁷)}

v = 2.596 * 10⁷ m/s

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The height and range of the projectile are 500 meters.

Solution:

The initial vertical speed is 100m/s (200Sin30) so if g is 10m/s per second it will take 10 seconds to rise and 10 seconds to fall → 20 seconds fire time.

Horizontal velocity is 200Cos30 or 173 m/s

Range? 3460 meters.

Height? The average vertical speed is 50m/s (from 100 to zero) and it rises for 10 seconds. 500 meters.

This equation defines the maximum projectile height from the launch position and depends only on the vertical component of the initial velocity. The maximum horizontal distance a projectile travels is called range. The range is the difference between the lowest and highest values. Indicates that the maximum horizontal distance is four times the maximum height the projectile will reach.

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Answer:

1. Superior- toward the head

2. Inferior- away from the head

3. Anterior- toward the front

4. Posterior- toward the back

5. Ventral- toward the belly

6. Dorsal- toward the back

7. Proximal- toward the center of the body

8. Distal- away from the center of the body

Explanation:

Answer:

option (A)

Explanation:

In fig. (A) two equal forces are acting at the same point in opposite directions ,therefore net force is zero as they will cancel each other.Now as there is no net force on particle so the acceleration is zero(a=F/m=0/m=0) and thus velocity v remains constant

The mass and volume of a body are given, then the percentage error of the density of the body will be equal to 5%.

Mass per unit volume of a solid substance, density. Density is defined as d = M/V, where M stands for gravity, and V for volume.

The measure of density that will be most frequently used is grams per cubic centimeter. For instance, the density of Earth is 5.51 grams per cubic centimeter, whereas the density of water is 1 gram per cubic centimeter. Kg per cubic meter is another method for determining density.

Mass, M = 100±2% kg = 100±0.02 kg

Volume, V = 100±3% m³ = 100±0.03 m³

P =M/V

Use the error analysis method,

log P = log M - log V

Differentiate on both sides of the above equation,

dP/P = dM/M+dV/V

Check for maximum possible error:

dP/P = 0.02/100+0.03/100 = 0.05/100

dP/P = 5%.

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Water bodies' quantity and flow both decrease.

When a river is redirected away from major water bodies, like rivers, lakes, etc. the volume of water flowing through the rivers and lakes decreases, and there is a reduction in the flow of water as well. This is because the water flows to the diverted sides of the river. We can say that this river's diversion has a detrimental impact on other communities because the areas it flows through may also suffer from a lack of water for either daily necessities or crop production.

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