Q3. Three ants 1, 2 and 3 are pulling a grain with forces of magnitude 10 N, 4 N and FN as shown in the figure. Find the force F if the grain remains in equilibrium under the action of the above forces.​

Answer: D

Explanation:

First, we know that the acceleration is defined as the ratio of change of the velocity.

This means that, if we have a change in the velocity, then we also have acceleration.

And by Newton's second law we know that:

F = m*a

Force equals mass times acceleration.

So if we have acceleration different than zero, then we should also have force different than zero.

So we must have a nonzero net force acting on it.

The correct option is D

Hello!

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The statement in which correctly applies to a car that changes its velocity over a period of time would be "a nonzero new force is acting on it."

Hope this helps! Also, if you need help with the rest of this assignment, I make a study set on Quizlet that may help you out with the other question. Thanks and good luck!

Quizlet - Unit 6: Lesson 3 Newton's Second Law

h t t p s : / / q u i z l e t . c o m / 7 3 7 7 7 5 3 2 0 / u n i t - 6 - l e s s o n - 3 - n e w t o n s - s e c o n d - l a w - f l a s h - c a r d s / ? n e w

Explanation:

When a constant force acts upon an object the acceleration of the object varies inversely with its mass.

[tex]a\propto \dfrac{1}{m}[/tex]

or

[tex]\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}[/tex]

If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg

We need to find a₂

So,

[tex]a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2[/tex]

So, if mass is 9 kg, its acceleration is 7 m/s².

Answer:

A AND B

Explanation:

Explanation:

Distance = rate × time

1 m = (2.99792×10⁸ m/s) t

t = 3.33565×10⁻⁹ s

Light is the fastest thing in the universe. The speed of light is 2.99792 x 10⁸ m/s . The time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

Speed is a physical quantity that means the distance in meter covered by a moving body in one second.  The speed of light is  2.99792 x 10⁸ m/s. Light from sun only takes 8 min to travel to the earth surface.

The speed of a moving particle or wave is mathematically the ratio of distance and time. Thus time of travel can be found out from the distance and speed.

It is given that the distance travelled by light is 1 m and its speed is 2.99792 x 10⁸ m/s. Thus the time taken to  travel is calculated as follows:

Time = distance/speed

         = 1 m/ (2.99792 x 10⁸ m/s)

         = 3.39  x 10⁻⁹s

Therefore, the time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

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Answer:

3.7 m/s

Explanation:

Given:

Δx = 10.0 m

v₀ = 2.0 m/s

a = 0.50 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (2.0 m/s)² + 2 (0.50 m/s²) (10.0 m)

v = 3.7 m/s

Answer:

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. ... increases, the force of gravity decreases. If the distance is doubled, the force of gravity is one-fourth as strong as before.

Answer:

If the frequency of the source is increased the current in the circuit will decrease.

Explanation:

The current through the circuit is given as;

[tex]I = \frac{V}{Z}[/tex]

Where;

V is the voltage in the AC circuit

Z is the impedance

[tex]Z = \sqrt{R^2 + X_L^2}[/tex]

Where;

R is the resistance

[tex]X_L[/tex] is the inductive reactance

[tex]X_L[/tex] = ωL = 2πfL

where;

L is the inductance

f is the frequency of the source

Finally, the current in the circuit is given as;

[tex]I = \frac{V}{\sqrt{R^2 + (2\pi fL)^2} }[/tex]

From the equation above, an increase in frequency (f) will cause a decrease in current (I).

Therefore, If the frequency of the source is increased the current in the circuit will decrease.

Answer:

B

Explanation:

Answer:

B. scientific laws have been proven without exception under certain stated conditions.

Explanation:

Answer: the answer key is in the pdf files below

Explanation:

Answer:

Explanation:

59 ) Graph has been given in the file attached .

60)  Since the  v- t graph is a straight line so the acceleration is constant . This acceleration does not change with time . It is also called acceleration due to gravity . Its value is 10 m /s²

61 ) If there is no resistance , both the objects will fall together and reach the earth simultaneously if fallen from same height . it is so because each and every object falls under gravity without any obstruction with equal acceleration which is equal to 10 m /s ² .

Answer:

Hope it will help you :)

Explanation:

Answer:

A main sequence star that lacks the mass necessary to explode in a supernova so it goes KAbooM and then will become a white dwarf, a 'dead' star that has burned through all of its hydrogen and helium

eventually stop emitting light and heat and become black dwarfs.

Answer:

Hi! This is true.

Explanation:

During a storm, high winds are persistent. Taller trees have a longer length than short trees, making the structural integrity lesser. Shorter trees are closer to the ground and have a small chance of falling.

Hope this helped!

load distance*l=effort distance*e

o.5*500=x*1.25

250/1.25=x

200=x

ma=load/effort

500/200

2.5

vr=ed/ld

1.25/0.5

2.5

effciency=ma/vr*100

100%

Given:-

To be calculated:-

Calculate the pressure exerted on a level ground.

Formula used:-

Pressure = Force/Area

Solution:-

First of all,

We have to find out Force ;

Force = m × g

Force = 75 kg × 9.8 m/s²

Force = 735 kg.m/s² [ 1 N = kg.m/s² ]

Force = 735 N

Now,

Pressure = Force/Area

Pressure = 735 / 28/1000

Pressure = 735 × 1000 / 28

Pressure = 735000 / 28

Pressure = 26,250 Pascal

Answer:

6.37*10^6 m

Explanation:

We know that,

g = GM/R²

values given to us

acceleration due to gravity = g = 9.8 m/s²

Mass of the earth is= 6.4*10^24

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

implementing

9.8 = 6.67*10^-11 * 6*10^24/R^2

9.8 = 40.02 * 10^13/ R^2

R^2 = 4002/98 * 10^12

R^2 = 40.83* 10^12

R= 6.37*10^6 m   (approximately)

Answer:

The clip is denser than the three liquids, and water is denser than oil.

Explanation:

In this exercise, the Archimedes principle must be used, on the thrust that is equal to the weight of the dislodged liquid

          B = ρ_liquid g V_body

when a body is placed on a liquid, the equilibrium equation must be fulfilled

          W - B = 0  

          W = B

            ρ_body g V_body =  ρ _liquid  g V’

from this expression we see that we have three possibilities

* the density of the body is less than the density of the liquid, therefore the body floats

* The density of the body is equal to the density of the liquid, the body is in equilibrium with the liquid, neither floats nor sinks

* the density of the body greater than that of the liquid, the body sinks.

Based on this, the liquids are arranged in the cylinder according to their density.

           ρ_oil ​​ <  ρ_water  <  ρ_starch

as the clip sinks

the density of the clip is higher than that of liquids

We review the final statements and the correct one is: Clip is denser than liquids and water is denser than oil

Answer:   D

Explanation:

The velocity is a vector quantity. The velocity of center G of the column after it has moved 5 ft is 5.18 ft.

First, the potential energy of column,

[tex]U_{12} = \int\limits^5_0 {F} \, dx[/tex]

Here, the column moves from zero and displaces 5 ft.

[tex]F[/tex] - force = 1500 lbs

Thus,

[tex]U_{12 } = 7500\rm \ ft\ lbs[/tex]

Now, total kinetic energy at position 2,

[tex]T_ 2 = \dfrac 12 mv_2^{-2} + \dfrac 12 \vec I \omega_2^2[/tex]

Where,

m  = 372.67 slugs

r = 2 ft

Since,

[tex]\omega_2 = \dfrac {\vec V}{r}[/tex]

So,

[tex]7500 = \dfrac {12000}{2g}v_2^{-2}+\dfrac {12000}{4g}r^2 \times \dfrac {\vec V}{r}\\\\\vec v_2 = 5.18 \rm \ ft[/tex]

Therefore, the velocity of center G of the column after it has moved 5 ft is 5.18 ft.

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Answer:

Explanation:

  The capacitance of a capacitor is defined as the charge stored per unit potential change.

using the expression for the capacitance

[tex]C= \frac{eA}{d}[/tex]

where e=  electrostatic constant

A = the area of the plate

d = separation distance.

Given the problem statement

1.  If the place separation is doubled

2. plate area is halved.

 effecting the conditions in our expression for the capacitance we have

[tex]C= \frac{e\frac{A}{2} }{2d}\\\\2dC=e\frac{A}{2}[/tex]

cross multiplying we have

[tex]4dC=eA[/tex]

dividing both sides by 4d we have

[tex]C=\frac{eA}{4d}[/tex]

The capacitance is 1/4 the initial value

The capacitance should become C)one forth

It could be defined by the charge stored per unit with respect to the potential change.

Here the following expression should be used.

[tex]C = eA \div d[/tex]

Here e=  electrostatic constant

A = the area of the plate

d = separation distance.

So in the case when place separation is doubled and plate area is halved

So,

[tex]C = \frac{e\frac{A}{2} }{2d}\\\\2Dc = e\frac{A}{2}\\\\ 4Dc = eA[/tex]

Now if we divide both the sides by 4d so

[tex]C = \frac{eA}{4D}[/tex]

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Answer:

Explanation:

Bones?

Bones are primarily made of calcium. Also, they protect the body, which is pretty much obvious. They also act as camouflage.

The only but I have is, can they be found as a filler in most household?

Asides that, bones pretty much fits in to the answer.

Answer:

245.1° and 13 knots

Explanation:

The given parameters are;

The true heading = 135°

The resultant ground track = 130°

The true airspeed = 135 knots

The ground speed = 140 knots

Given that the true airspeed the ground speed and the wind direction and magnitude form a triangle, we have;

From cosine rule, we have;

a² = b² + c² - 2×b×c×cos(A)

Where

a = The magnitude of the wind speed in knot

b = The true airspeed = 135 knots

c = The ground speed = 140 knots

A = The angle in between the true heading and the resultant ground track heading = 5°

Which gives;

a² = 135² + 140² - 2×135×140×cos(5 degrees) = 168.84 knots²

a = √168.84 = 12.9934 ≈ 13 knots

We have;

135 × sin(135 degrees) - 140× sin(130 degrees) = -11.7868

135 × cos(135 degrees) - 140× cos(130 degrees) = -5.469

Tan(θ) = -11.8/-5.5 = 2.155

θ = tan⁻¹(2.155) = 65.108°

Given that the wind is moving in opposite direction (slowing down the airplane, we add 180°, to get

Therefore, the angle direction = 180 + 65.108 = 245.1

Therefore, we have;

245.1° and 13 knots

Answer:

C. the velocity

Explanation:

Answer:

1.) As rocket mass increases, acceleration decreases

2.) The inverse of the mass of the boat

3.) Zero

4.) When the velocity increases

5.) It increases

Explanation:

took the test, all were correct

Answer:

t = 2.01 seconds

Explanation:

It is given that,

The acceleration of the elevator is 4.55 m/s².

We need to find time taken by you to reach a speed of 11 m/s

The initial velocity of the person is equal to 0 (at rest). Let t is the time.

Using equation of kinematics as follows :

v = u +at

Acceleration = g-a and u = 0

So,

[tex]t=\dfrac{v}{g-a}\\\\t=\dfrac{11}{10-4.55}\\\\t=2.01\ s[/tex]

So, 2.01 seconds is taken to reach a speed of 11 m/s.

Answer:

16

Explanation:

10+6=16

Answer:

Fashion and interior design.

I hope it will help you.

Answer:

Explanation:

[tex] \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}[/tex]

[tex] \sf{distance \: = 27.6 \: metre}[/tex]

[tex] \sf{mass = }[/tex] ?

[tex] \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }[/tex]

Now, let's find the mass:

[tex] \sf{PE \: = mass \times gravity \: \times \: distance}[/tex]

plug the values

⇒[tex] \sf{20.8 = m \times 9.8 \times 27.6}[/tex]

Multiply the numbers

⇒[tex] \sf{20.8 = 270.48 \: m}[/tex]

Swap the sides of the equation

⇒[tex] \sf{270.48m = 20.8}[/tex]

Divide both sides of the equation by 270.48

⇒[tex] \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }[/tex]

Calculate

⇒[tex] \sf{0.0769}[/tex] kg

Hope I helped!

Best regards!!

Answer:

[tex]\huge \boxed{\mathrm{0.0769 \ kg}}[/tex]

Explanation:

[tex]\displaystyle \sf Mass=\frac{Potential \ energy}{Acceleration \ of \ gravity \times Height}[/tex]

[tex]\displaystyle m=\frac{PE}{gh}[/tex]

[tex]\mathrm{We \ need \ to \ find \ the \ mass.}[/tex]

[tex]\displaystyle m=\frac{20.8}{9.8 \times 27.6}[/tex]

[tex]m= 0.0769[/tex]

Answer:

No electric field will exist.

Explanation:

Given the following:

In other to for the proton to remain stationary in space, the electric field acting on the proton will be 0 or no electric field will exist. From the formulae ;

F = qE ; where q = charge of the particle

E = electric field intensity

The electric field force = F

At a stationary position in space, the electric field intensity = 0

F = qE = q * 0 = 0.

Also according to Heisinberg, measuring the momentum and position of a quantum object becomes more and more uncertain when measured simultaneously.

Here, one of position or momentum is know, measuring the electric field becomes very uncertain.

Answer:

They are weightless because there is no external contact force pushing or pulling upon their body.

Explanation:

Answer:

nope because the ground created a normal force

Explanation:

Answer: Identify needs

As a company wants to build a new type of spaceship for transporting astronauts to the moon. The company should identify the needs first. The correct option is D.

A spacecraft is a vehicle or machine that is designed to travel through space.

Spacecraft, a type of artificial satellite, are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and human and cargo transportation.

In addition to science instruments, a spacecraft has a number of critical components such as an engine, power subsystem, steering system, and communications system.

The majority of these systems are housed in the service module, while the science instruments are housed in the payload module.

A company wishes to construct a new type of spaceship capable of transporting astronauts to the moon. The company should start by identifying the needs.

Thus, the correct option is D.

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