1. Which pair of charges experiences the weakest electrostatic force?

Answer:

m=374.5kg

Explanation:

force=mass × acceleration

F=m × a

a=1.1m/s²

f=412N

412=m × 1.1

412=1.1m

m=412/1.1

m=374.5kg

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The ball will land alongside the tower due to the gravitational pull of the earth. Therefore, option (A) is correct.

Gravity is a force that attracts any physical body which has mass towards the center of the earth. Everybody having mass exerts a force or gravitational pull on every other object with mass. Gravity is the reason the planets orbit the sun as well as the moon orbits the earth.

Every particle of matter in the universe attracts every other particle with a specific force, and that force is directly proportional to the product of the masses of those particles.

Mathematical expression for gravity can be written as:

[tex]F= G\frac{mM}{r^2}[/tex]

Where F is the force between objects, m and M are masses of objects interacting, the distance between the center of the masses is equal to 'r' and, G is the gravitational constant.

When you drop a ball from a tower 6 miles up it will land back on the surface of the earth alongside the tower due to the gravitational pull of the earth.

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The gravitational force acting down the inclined plane is 206.19N

The force acting along the inclined plane is opposite the frictional force and the formula to express it is:

[tex]F_{m}[/tex]= F sinФ

It is given that

F = 299.7N

Ф = 43.5 degree

Putting the value we have:

[tex]F_{m}[/tex] = 299.7 sin 43.5°

     = 299.7 (0.688)

     = 206.19N

Therefore the gravitational force acting down the inclined plane is 206.19N.

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Given,

The initial speed, u=20.00 m/s

The distance between the submerine and the target is d=2000.0m

The sound of impact is heard after T=101.4 s.

To find

The speed of sound in water.

Explanation

Here the total time taken to reach the submarine is the sum of thetime taken by the torpedo to reach the target and the time taken for it to come back.

Let the speed be v.

Thus,

Conclusion

Speed of the sound in water is 1428.6 m/s

Answer:

Explanation:

Given:

m = 120 pounds  = 120·0,454 = 54.48 kg

g = 1.625 m/s²  -  Acceleration of free fall on the Moon

_______________________________

F - ?

F = m·g = 54.48·1.625 ≈ 88.5 N

Answer:

about 20 pounds

If you weigh 120 pounds on Earth, you will weigh about 20 pounds on the moon.

Explanation:

Dont ask for an explanation ok buddy?

ANSWER:

C. Double the number of coils of wires around the nail.

STEP-BY-STEP EXPLANATION:

In order to collect two sewing pins, the student must double the number of coils around the nail.

Answer: Double the number of coils of wires around the nail.

Explanation: Just did this on apex, mostly for their benefit.

Given

A 50kg boy

A 100 kg father

Speed (both) 5 m/s

Procedure

Kinetic energy is a form of energy that an object or a particle has by reason of its motion

For the boy

For the father

Now, let's compare the kinetic energy between father and boy

The father's KE is twice the boy's kinetic energy

Screenshot:

Part 2:

Part 1:

The question is incomplete, however 7.1 X 10^6 N/m^2 is Young's Modulus of 2m long steel coil spring with a diameter of 2cm in a passenger vehicle is exposed to a force of 2,000 N. If the length of the coil extends elastically to 2.2m upon this force.

[tex][Y=Fl\pir^2e],[Y=4000 \cdot2/\pi0.1884/2\pi^2\cdot0.4)][/tex]

Y = 7.1 X 10^6 N/m^2

Young's modulus is a metric for determining how elastic a substance is. The ability of a body to resist attempts to deform it using an external shearing stress is referred to as its elastic property.

The internal force of a material that attempts to return the body to its former shape is known as a restoration force. Young's modulus of elasticity is the proportion of restorative stress generated and strain (deformations such an increase in length per unit length).

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The fact that the water is surrounded by sturdy rock, soil, and sand has some aspects that are highly advantageous if I were in charge of assessing a site for a hydraulic dam to generate electricity.

Therefore we know that, a hydraulic dam is where power is generated.

Electricity is produced at the dam and distributed throughout the entire nation. A dam is formed by six main elements.

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The kinetic energy of an object is the energy possessed by the object due to its motion. That is when the velocity of the object is zero, i.e., when the object is at rest, the kinetic energy of the object will be zero.

The linear momentum is the product of the mass and the velocity of an object. When the momentum of the object is zero, the velocity of the object is also zer.

Thus whenever a particle has a zero momentum, its velocity and hence its kinetic energy will also be equal to zero.

Therefore, the given statement is true.

The height of the cliff is 122.5 m and the farthest distance covered equals to 50 m.

Projectile motion is a form of motion experienced by an object or particle that is projected near Earth's surface and moves along a curved path under the action of gravity only.

Given is a ball that is thrown horizontally with an initial velocity of 10 m/s off a cliff and spends 5 seconds in the air before hitting the ground.

Horizontal initial velocity = u[x] = 10 m/s

Vertical initial velocity = u[y] = 0 m/s

Vertical acceleration = a[y] = 9.8 m/s²

Using the second equation of motion along the vertical direction -

S[y] = u[y]t + 1/2a[y]t²

S[y] = 0 + 1/2 x 9.8 x 5 x 5

S[y] = 12.5 x 9.8

S[y] = 122.5 m

Horizontal distance covered = u[x] x t = 10 x 5 = 50 m

Therefore, the height of the cliff is 122.5 m and the farthest distance covered equals to 50 m.

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The angular momentum of revolving ball is 8.72 kg.m²/s.

We need to know about the angular momentum to solve this problem. An angular momentum is a unit that measures the difficulty of stopping rotating objects. The angular momentum depends on the inertia and angular speed. It can be written as

L = I . ώ

where L is angular momentum, I is inertia and ώ is angular speed.

From the question above, the given parameters are

m = 0.31 kg

r = 1.5 m

ώ = 12.5 rad/s

Find the inertia of the revolving ball

I = m . r²

I = 0.31 . 1.5²

I = 0.6975 kgm

By substituting the given parameters, we can calculate the angular momentum

L = I . ώ

L = 0.6975 . 12.5

L = 8.72 kg.m²/s

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Answer:

7.06663336 kg

Explanation

to get the mass of an object divide the force of gravity(9.8) from the weight (in this case, 69.3 N) to get 7.06663336 kg. Or round it (if it's okay with your teacher) and get 7.07 or 7.1 kg

All living things are constantly engaged in Homeostasis.

Homeostasis is the capacity to sustain a comparatively constant internal condition that endures despite changes in the external environment. To consume energy and eventually live, all living things—from plants to puppies to people—must control their interior environments. For numerous reasons, the body sustains homeostasis. Body temperature, blood sugar levels, and varying pH levels are a few of them. Not merely at the level of the entire body as it is for temperature, homeostasis is maintained at several levels.

Homeostasis is a state that can be preserved by all living things. They have systems in place to regulate things like their internal temperature, water balance, and acidity. Normal cell functions that take place inside of them depend on homeostasis. Normal life processes are interfered with if an organism can't sustain equilibrium. Ailment or even death might follow.

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Answer:

252 million years ago

Explanation:

hope this helps :)

The velocity of the bowling ball with its putty passenger will be 2.28 m/s.

Velocity of the moving chunk = [tex]V_{c}[/tex] = 4 m/s

Mass of the chunk = [tex]M_{c}[/tex] =  8 kg

Mass of the bowling ball =  [tex]M_{b}[/tex] = 7 kg

Velocity of the bowling ball =  [tex]V_{b}[/tex] = 0

Since this is the perfect inelastic collision, so according to the law of conservation of momentum

Conservation of momentum is a fundamental law of physics that states that the total momentum of an isolated system is conserved in the absence of an external force.

[tex]p_{initial} = p_{final}[/tex]

[tex]p_{initial}[/tex] = [tex]V_{c}[/tex] *  [tex]M_{c}[/tex] +   [tex]M_{b}[/tex] * [tex]V_{b}[/tex]

[tex]p_{initial}[/tex] = 8*4 + 7*0

[tex]p_{initial}[/tex] = 32 + 0

[tex]p_{initial}[/tex] = 32 kg.m/s

[tex]p_{final}[/tex] =  ( [tex]M_{c}[/tex] +  [tex]M_{b}[/tex] ) [tex]V_{final}[/tex]

[tex]p_{final}[/tex]  = ( 8 + 7 ) [tex]V_{final}[/tex]

[tex]p_{final}[/tex] = 14  [tex]V_{final}[/tex] kg.m/s

[tex]p_{initial} = p_{final}[/tex]

32 = 14   [tex]V_{final}[/tex]

 [tex]V_{final}[/tex] = [tex]\frac{32}{14}[/tex]

 [tex]V_{final}[/tex] = 2.28 m/s

The bowling ball with its putty passenger will then be set in motion with a velocity of 2.28 m/s.

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Galaxy fragments originated in the early world due to the gravity of massive amounts of dark matter.

Dark matter is any substance that primarily interacts with visible matter through gravity (e.g., stars and planets). Therefore, in theory, it need not be made up of a brand-new form of fundamental particle but rather may be built up, at least in part, of typical baryonic matter, such as protons or neutrons.

The concept of dark matter, the invisible substance whose gravitational pull is assumed to hold galaxies together, may not be the most pleasing one in physics. According to a recent study, however, if you want to get rid of it, you'll need to switch it out for something more stranger: a gravitational force that at some distances pushes large objects apart and at others draws them together. The analysis highlights how difficult it is to rationalize away dark matter.

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Based on law of conservation of angular momentum if a collapsing cloud is isolated in space with no external forces, the cloud will spin faster, the size will go on decreasing and the angular momentum will go on increasing that is reduction in radius and it will start spinning faster.

According to the nebular theory, a cloud of gas and dust must gravitationally collapse into a disk in order for planets to form inside. The disk must flatten out to fit observations. what causes this flattening to happen? Take the law of conservation of angular momentum, which states that an amount related to an object's size(its moment of inertia) times the rate at which rotates (angular speed) must always remain constant if no external forces are acting on the object.

Therefore, if a collapsing cloud is isolated in space with no external forces, the cloud will spin faster the size will go on decreasing and the angular momentum will go on increasing that is reduction in radius and it will start spinning faster.

Principle of conservation of angular momentum states that, if no external torque acts on a system, the total angular momentum of the system remains constant. If I be the momentum of inertia of a body about a given axis of rotation and w be its angular velocity, then I w= constant

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Answer:

3m/s²

Explanation:

From 60 to 70 s the velocity increases from 50 to 80 m/s

Acceleration is defined as a = Δv/Δt

where Δv = change in velocity

and Δt = change in time

Δv = 80 - 50 = 30 m/s

Δt = 70 - 60 = 10 s

Acceleration = 30/10 = 3m/s²

The hummingbird's total displacement is 6.168m, 16.96⁰ Southwest.

Construct a right-angled triangle from the bird's displacement

⇒From the diagram uploaded; we calculate the resultant/total displacement (R) of the bird using Pythagoras theorem,

R² = 5.9² + 1.8²

R² = 38.05

R = √38.05

R = 6.168 m

calculate the direction of the bird's displacement

From the vector diagram head-to-tail rule, we determine the cardinal direction;[tex]tan\alpha = \frac{1.8}{5.9}[/tex]

From the diagram; [tex]tan\alpha = 0.3050[/tex]

                                     [tex]\alpha = tan^{-1} 0.3050[/tex]

                                      [tex]\alpha = 16.96^{o}[/tex]

Therefore the hummingbird's total displacement is 6.168m, 16.96⁰ Southwest.

Displacement is defined as a change in the location of an object. It is a vector quantity and has direction and magnitude. It is represented as an arrow pointing from the starting position to the final position. For example - when an object moves from point A to point B, the position of the object changes.

Displacement (symbolized d or s ), also called length or distance, is a one-dimensional quantity representing the difference between two specified points. The standard SI unit of displacement is the meter (m).

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Answer

A 51.7-kg hiker ascends a 43.2-meter high hill at a constant speed of 1.20 m/s. ... The initial kinetic energy can be found using the work-energy theorem.

Missing: 525kg ‎| Must include: 525kg

The temperature of the gas rounded to three significant figures would be 244 Kelvin.

It is an imaginary gas for which the volume occupies by it is negligible, this gas does not exist in a practical situation and the concept of an ideal gas is only the theoretical one.

As given in the problem, the gas pressure in an oxygen tank is 3.90 atm at a temperature of 298 K. If the pressure decreases to 3.20 atm,

By using the constant volume for the ideal gas,

P₁/P₂ = T₁/T₂

3.90 /3.20 = 298 / T₂

T₂ = 244 Kelvin

Thus, the temperature of the gas rounded to three significant figures would be 244 Kelvin.

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The maximum speed with which the car can round the curve without slipping is 14m/s

Given the following:

The radius, r=40m

The coefficient of friction μ=0.5

Then from Newton's law:

μmg=mv^2/r

From the above equation,  the speed, v of the car is:

v=√μrg, where μ=0.5, r=40m, and g=9.8m/s^2

v=√(0.5)(40m)(9.8m/s^2)

v=√196

v=14m/s

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Answer:

See below

Explanation:

d istance = 1/2 a t ^2

  100        = 1/2 (a) 2^2      solves for a = 50 ft/s^2

F = ma

  = (200+ 155) ( 50) =  17750   lb ft/ s^2     ( this is 2454 N )

The force must the ejector seat launch with to meet these requirements is 17750   lb ft/ s².

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given that distance = 1/2 a t²

100        = 1/2 (a) 2²     solves for a = 50 ft/s²

 F = ma

 F = (200+ 155) ( 50) =  17750   lb ft/ s²    ( this is 2454 N )

The force must the ejector seat launch with to meet these requirements is 17750   lb ft/ s².

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For the given acceleration and time, following are the different velocities.

Given:

acceleration  a = 4 m/s²

time  t = 3 sec

initial velocity  u = 0 [ starts from rest ]

let final velocity be = v

Therefore according to the question,

velocity after 1 sec :

v = u + at

v = 0 + 4 x 1

v = 4m/s ( after 1 sec)

Velocity after 2 secs

v = 0 + 4 x 2

v= 8m/s (after 2 sec)

Velocity after 3 secs

v = 0 + 4 x 3

v = 12m/sec

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The question is incomplete, however, 39.2 velocity is the maximum speed with which a 1100 kg rubber-tired car can take this curve without sliding

Consider the net force acting horizontal component of friction [tex](\mu _sN \cos \theta)[/tex] and normal force Acting in horizontal component of friction [tex](N sin \theta)[/tex] , So the sum of force is

[tex]mv_max^2/r=N sin \theta+\mu _sN cos \theta[/tex]

Consider the net force acting vertical component of friction [tex](N cos \theta)[/tex]  and normal force acting in Vertical component of friction [tex](\mu _sN sin \theta)[/tex] the wight of car is perpendicular to the force (-mg)

[tex]mg=N cos \theta-\mu _sN sin \theta[/tex]

[tex]v_max^2/rg=sin \theta+\mu _scos \theta/cos \theta-\mu _ssin \theta[/tex]

[tex]\nu_max=\sqrtrgsin \theta+\mu _scos \theta/cos \theta-\mu _ssin \theta[/tex]

[tex]" Substitute, "80" "m" for ' "r,,9.81" for ' "g" ', "18.0" for "\theta" and "1.0" for\mu_s[/tex]

after solving

[tex]v_max=39.2 m/s[/tex]

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What is the velocity of block C at t = 2.80 s is v₁=0.6 m/s and v₂= -0.15 m/s b. d=0.18m  is the position of block C's center at that time.

The term "rate at which an object changes its position" is used to describe velocity, a vector quantity. Imagine someone moving quickly, taking one stride ahead, one step back, and constantly returning to their starting place. While there might be a frenzy of activity as a result, the velocity would be nil. The motion would never produce a change in position because the subject always returns to their starting place. Since the rate at which a position changes determines velocity, this motion has zero velocity. A person in motion must exert every effort to move farther from their starting location than necessary in order to increase their velocity.

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Our resistance is four mega houses at two seconds. Simply enter 15 seconds as R times 150.50 times 10 to the negative six digits for the calculation. We therefore have 30 Mega Ohms.

It is required to wipe the screen of an automobile on a regular basis when there is a light drizzle, when it is dirty, or when any of these conditions exist. There is a switch that uses an electrical circuit to wipe the screen. A main-wiper control circuit system and a relay control circuit are components of an intermittent wiper system. The relay control circuit uses a transistor and diode combination in an RC circuit.

According to what we've been told, our RC circuit's capacitance is 0.5 micro Farads, or 0.5 times ten to the minus six Farads. The resistance times the capacitance produces the time constant. And by multiplying both sides by C, we may find R's value. And when the time constant is divided by the capacitance, which is equal to 0.5 times ten to the minus six Farads, we have the minimum resistance, which is equal to 4.00 Mega Ohms.

The maximum time constant divided by capacitance occurs when the resistance is at its maximum. As a result, when we replace tau with 15 seconds, we obtain 30.0 Mega Ohms. To modify the frequency of the wiper blades' oscillation, the resistance must be able to shift between four and thirty megaohms.

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