A ball rolls down a hill with a constant acceleration of 2 m/. The ball starts at rest and
travels for 4.0 s before it stops
2.-What was the ball's velocity just before it stopped?
a) 2.0 m/s.
b) 8.0 m/s
c)12 m/s
d) 16 m/s

On research on animals they must given proper care and housing. And the purpose of the research must have a scientific reason. Thus option B  is  correct.

Animal research includes various scientific investigation on animals such as testing various doses of some drugs, effect of various chemicals, level of toxicity of some compounds etc.

According to the research ethics, no animals can be used to conduct any unscientific works. There must be a scientific purpose which is very important to conduct any animal research.

If any animals irrespective of its nature,it must be provided proper care, food and housing. No harmful things must be there which make them more suffering. Hence, option B is correct.

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The net force acting on the turtle would be 3.92N.

What is net force?

This is referred to as the total forces acting on an object.

Formula for calculating force on a body:

F= mv/t...........(i)

Formula for calculating net force:

Fnet= F₁ +F₂ +F₃ +F......FN       ............(ii)

where,

F₁ +F₂ +F₃ +F......FN=  force acting on the body.

From the Question:

Mass, M=28.59 kg

Velocity, V= 5.18 m/s

time, T        =37.80 s.

Using equation (i)

F= mv/t

  =28.59 kg*5.18 m/s

              37.80 s.

   =3.92N

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D. air resistance

Hope it helps

Answer:

a is answer

Explanation:

centrifugal force, a fictitious force, peculiar to a particle moving on a circular path, that has the same magnitude and dimensions as the force that keeps the particle on its circular path (the centripetal force) but points in the opposite direction.

If both masses double, FG increases by 4.

What is Gravitational Force?

Gravity is a fundamental interaction that all objects with mass or energy experience due to its Latin root, gravitas, meaning "weight". Approximately 1038 times weaker than that of the strong interaction, 1036 times weaker than that of the electromagnetic force, and 10^29 times weaker than the weak interaction, gravity is by far the weakest of the four fundamental interactions. The level of subatomic particles is therefore unaffected by it significantly. The motion of planets, stars, galaxies, or even light is controlled by gravity, which is the most important interaction between objects just at macroscopic level.

What happens to Fg if both masses double?

The gravitational force increases by 4, when both the masses double.

F = Gm1m2/r2

If both masses double, then

m1 = 2m1 , m2 = 2m2

F = G(2m12m2)/r2 ⟹

F = 4F

Thus gravitational force becomes 4 times.

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log 8 + log 16 - log 2 = log64, In order to get another number, a number should be raised to a certain power, which is known as a logarithm.

The correct answer is A

A number must be increased to a specific power, or logarithm, in order to obtain another number. For additional information on exponents, visit Figure 3.3 of this Math Review. As an example, the base 10 logarithm of the number ten raised to the power of two two is two, or log 100, which equals two.

Exponentiation is a mathematical operation, and the logarithm, simply log, is its inverse. In other words, the log of a number is the value that a fixed base must be increased to in order to produce the value. Although technically any base can be used, the term "log" often suggests that base 10 is being used.

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Answer: A

Explanation: The research mentions both the insulin resistance and the increased heart rate. But one thin I noticed is that the increased heart rate happens at night while they sleep, but the question asks for the next morning, so A.

There’s really no exact citation found but this is as close as I can get you.

The period of the ball's motion is 0.142 s and the frequency of the motion is 7 Hz.

The period of the ball's motion is calculated by applying the following kinematic equation as shown below.

v = 2πr/T

ωr = 2πr/T

ω = 2π/T

T = 2π/ω

where;

The angular speed of the ball = 7 rev/s = 7 rev/s  x 2π rad/rev = 14π rad/s

T = 2π/14π

T = 1/7 s = 0.142 s

The frequency of the ball's motion is the inverse of the period of the motion and can be calculated as follows;

f = 1/T

f = (1) / (1/7) = 7 Hz

Thus, the period of the ball's motion is determined from the angular speed of the ball while the frequency of the ball's motion is the reciprocal of the period of the motion.

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Particles in liquids are dispersed randomly and are relatively near to one another. The particles, collisions between them happen more frequently than in gases even if particles are moving quickly in all directions.

A particle, also known as a corpuscule in older texts, is a tiny, confined object to which one or more physical or chemical attributes, such as size, density, or mass, can be applied.

There are 61 subatomic particles in the Standard Model as it is currently constructed. Since the mid-1950s, hundreds of more kinds of particles have been found. These subatomic particles can mix to produce composite particles.

The Standard Model of Subatomic Particles is now thought to be the best theory to explain the universe's most basic constituents. It discusses how the building blocks of all known matter are quark, which make up neutrons and protons and leptons, which contain electrons.

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The dependent variable in the experiment in which a student sleeps different intervals of time to get different grades is the grade

In this experiment,

An independent variable is the variable that can be altered by the researcher to get different results. The dependent variable is the variable that gets altered due to the change in independent variable.

Therefore, the dependent variable is the Grades

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16.52 m/s is the velocity  and  vcosθ is the velocity in component vector form.

velocity in vector form= vcosθ

vector form= vcosθ

vector form=18cos53

v=16.52 m/s

"The rate at which an item changes its location" is described by a vector number called velocity. Imagine someone walking quickly, one step forward, one step back, and starting each step from the same location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A velocity of 55 miles per hour is not sufficient information. It is necessary to account for the direction in order to accurately describe the object's velocity. Simply put, the direction of the velocity vector represents the motion of the object.

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The average mass  of nitrogen isotopes is 14.3 amu.

By adding the relative average atomic masses of each atom in the system, the mass of an ion or molecule is computed and weighted for its isotopic composition. Hydrogen, for instance, has an average atomic mass of 1.00797 Da, while carbon's is 12.01115 Da.

Given parameter:

30% of the nitrogen atoms have a mass = 15amu.

70% of the nitrogen atom isotopes have an atomic mass = 14 amu.

So, average mass of nitrogen = 15 amu × 30% + 14 amu × 70%

= 14.3 amu.

Hence, the average mass of the nitrogen is 14.3 amu.

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The best graph to use if I want to compare the price of six different cars would be a bar graph

A bar graph is a graphical representation of the given data . It uses bars that extend to different heights to depict value .

Bar graphs are used to compare different type of things between different groups or to see changes over a period of time. Hence , bar graph will fits the best if one want to compare the price of six different cars .

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The possible outcome of the collision would be Cart A moving forwards with speed (v), cart B at rest. That is option D.

Speed is defined as the quality of movement of an object with respect to time without the consideration of the direction of its movement.

From the question, the experiment contains two carts, A and B. Cart B is moving with the speed of v towards cart A.

Since the both cart bears the same mass, the speed of cart B would reduce while causing the movement of cart A.

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If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:

The image is real. (Option A)

The image is virtual. (Option B)

The image has a positive image distance. (Option C)

The image has a negative image distance. (Option D)

The image is inverted. (Option E)

The image is upright.(Option F)

The image was made with a converging optic. (Option G)

The image was made with a diverging optic. (Option H)

If the optic is a lens, it is convex. (Option I)

If the optic is a mirror, it is convex. (Option K)

The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.

A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.

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Full Question:

If you are told an image has been made by a single optic that has a positive focal length, which is true?

a. The image is real.

b. The image is virtual.

c. The image has a positive image distance.

d. The image has a negative image distance.

e. The image is inverted.

f. The image is upright.

g. The image was made with a converging optic.

h. The image was made with a diverging optic.

i. If the optic is a lens, it is convex.

j. If the optic is a lens, it is concave.

k. If the optic is a mirror, it is convex.

l. If the optic is a mirror, it is concave.

Answer:

30 . 7 m

Explanation:

It takes 2.5 seconds for the rock to fall the vertical height

d = 1/2 a t^2

d = 1/2 ( 9.81)(2.5^2) = 30.7 m

Resultant displacement between the base camp and the cave will be 7.211 km

Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Her resultant displacement can be calculated using Pythagoras theorem

[tex]H^{2} = P^{2} + B^{2}[/tex]

     = [tex]4^{2} + 6^{2}[/tex]

     = 52

H = [tex]\sqrt{52}[/tex] = 7.211 km

Resultant displacement between the base camp and the cave will be 7.211 km

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Answer:

V₂ = 12.6 cm³ -  volume of the NOT immersed part:

Explanation:

Given:

m = 33 g

V = 39 cm³

ρ = 1.25 g/cm³

____________

V₂ - ?

Gravity:

F = m·g

Strength of Archimedes:

Fa = ρ·g·V₁

V1 - the volume of the submerged

The object is floating, so:

F = Fa

m·g = ρ·g·V₁

m = ρ·V₁

V₁ = m /  ρ = 33 / 1.25 ≈ 26,4  cm³

V₂ - volume of the NOT immersed part:

V₂ = V - V₁ = 39 - 26.4 = 12.6 cm³

Total displacement of the football player is 49.09 yards.

Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude.

A football player runs due east for 30 yards then cuts up the field due north for a distance of 35 yards before running into the end zone.

Total displacement of the football player is 49.09 yards.

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The amount of work done on the crate to change its velocity is 211.1 J.

The work done on the crate to change its velocity is calculated by applying the principle of conservation of energy as shown below.

Applying work-energy theorem, the work done in changing the velocity of the crate is equal to the change in kinetic energy of the crate as shown below;

W = ΔK.E

W = ¹/₂m(v₂² - v₁²)

where;

W = ¹/₂m(v₂² - v₁²)

W = ¹/₂(32)(5.1² - 3.58²)

W = 211.1 J

Thus, the amount of work done on the crate to change its velocity from 3.58 m/s at 37.0 ∘ west of north to  5.10 m/s in a direction 63.0 ∘ south of east, is based on the principle of conservation of energy.

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The sum of the currents through all the branches in the parallel circuit is 0.3 A.

A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.

The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.

The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;

I = V/R₁ + V/R₂ + V/R₃

where;

Thus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.

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Answer:

it's D that has a constant velocity

Answer:

Explanation:

here take kinetic energy =1/2×m×v²

m=50.0-kilogram (given)

kinetic energy=18000J (given)

now by taking the given values we get v²=(2×18000)/50

⇒v²=720

⇒v=26.8328m/s

done!

Electron degeneracy pressure is a specific manifestation of the more general occurrence of quantum degeneracy pressure.

Electron degeneracy pressure will halt the gravitational slump of a star if its mass is below the Chandrasekhar limit (1.44 solar masses). This is the pressure that averts a white dwarf star from collapsing. Electron degeneracy pressure occurs when electrons are squeezed into a very small volume. Since their positions are well-known, they gain a large momentum in obedience to Heisenberg's uncertainty principle. This momentum generates a pressure that is temperature-independent and can result in helium flash. in stars. Electron degeneracy occurs at a solidity of about 106 kg/m3.

So we can conclude that  The electron degeneracy pressure is taken by (n.v.p) where n is the number density, and v is the mean speed of the degenerate electrons.

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[tex]66.015 \mathrm{~m}[/tex] will the feather have fallen if it reaches the surface in 9.00 seconds.

Given:

[tex]$$\begin{aligned}&t=9 \mathrm{~s} \\&a=1.63 \mathrm{~m} / \mathrm{s}^2\end{aligned}$$[/tex]

The distance traveled by the feather onto the surface of the moon can be computed using the following equation:

[tex]d=\frac{1}{2} a t^2=(0.5)\left(1.63 \mathrm{~m} / \mathrm{s}^2\right)(9 \mathrm{~s})^2=66.015 \mathrm{~m}$$[/tex]

Kinematics in classical mechanics explains the motion of a specific item in a system. We're looking at the motion of a feather on the moon's surface.

Kinematics is the study of mechanical points, bodies, and systems in their motion without regard for their related physical qualities or the forces acting on them. The discipline is known as geometry of motion, and it mathematically describes these motions using algebra.

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3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.

3.3) the person's resultant displacement measured from the starting point is  239.99 m.

3.2)

The tension in the rope 1 = 10N

The tension in the rope 2 = 20N

the angle between them = 120degrees

We have;

R² = 10² + 20² - 2(10 x 20)Cos(120°)

R² = 100 + 400 - 400Cos(120°)

R² = 500 + 200

R² = 700

R = 26.5 N

towards the wall.

3.3)Let alone having the graph's x axis and the West-East axis in a Cartesian coordinate system coincide.

Let's split the vectors up using trigonometry.

Aₓ = 100.0 m  

By = -300.0 m

angle measured from the positive side of the x-axis counterclockwise is

θ = 180 + 30 = 210

Cy = C sin 210° =  -75.0 m

Cₓ = C cos 210° = -129.9 m

The angle from the positive side of the x-axis counterclockwise.

θ = 180-60 = 120º

Dy = D sin 120 =  173.2 m

Dₓ = D cos 120 = -100.0 m

add the component Then we get :

x = Aₓ + Cₓ + Dₓ

x =  100 - 129.9 -100 = -129.9 m

y = By + Cy + Dy

Y = -300 - 75.0 + 173.2 = -201.8 m

Resulting vector calculated as :

[tex]R = \sqrt{x^2 + y^2}[/tex]

R = 239.99 m

3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.

3.3) the person's resultant displacement measured from the starting point is  239.99 m.

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1) The force on the ball is 20 N

2) The acceleration of the cannon is 2m/s2.

State Newton's 2nd law of motion

Newton's second law of motion, which is what we utilize, asserts that,

                                                   F= m x a

where:

F is the total force in newton.

m is the object's mass in kilograms.

In meters per second squared, a represents the object's acceleration.

1) Using this we find the force on the ball,

F = m x a

  = 1 x 20

  = 20 N

2) Newton's law states that every actoin has an equal and opposie reaction. Thus the force on the cannon, Fc will be equal to the force acting on the ball, Fb while it was shooted.

As such we can find the acceleration of the cannon using the equation:

Fc = Fb

m1 x a1 = m2 x a2

10 x a = 1 x 20

a = 20/10

a = 2 m/s2

Hence,

1) The force on the ball is 20 N

2) The acceleration of the cannon is 2m/s2.

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Answer:

A. The maximum is 8cm. B. 5 pieces of wire.

Explanation:

To find each pieces' length we need to find what can divide both wires = 8cm

A. The maximum is 8cm.

The amount of pieces = 16m/8m = 2 pieces and 24m/8m = 3 pieces. 2 pieces + 3 pieces = 5 pieces of wire.

B. 5 pieces of wire.