Solve for the unknown in each of these circuits

Answer:

Force acting on the car, F = 8000 N

Explanation:

It is given that,

Mass of the car, m = 2000 kg

Acceleration of the car, [tex]a=4\ m/s^2[/tex]

We need to find the force used to accelerate the car. The product of mass and acceleration is called the force exerted to an object. It is given by :

[tex]F=m\times a[/tex]

[tex]F=2000\ kg\times 4\ m/s^2[/tex]

F = 8000 N

So, the force acting on the car is 8000 N. Hence, this is the required solution.

Ox:vₓ=v₀

x=v₀t

Oy:y=h-gt²/2

|vy|=gt

tgα=|vy|/vₓ=gt/v₀=>t=v₀tgα/g

y=0=>h=gt²/2=v₀²tg²α/2g=>tgα=√(2gh/v₀²)=√(2*10*20/24²)=√(400/576)=0.83=>α=tg⁻¹0.83=39°

cosα=vₓ/v=v₀/v=>v=v₀/cosα=24/cos39°=24/0,77=31.16 m/s

Ec=mv²/2=2*31.16²/2=971.47 J=>Ec≈0.97 kJ

A. at the top of a hill

Final answer:

The roller coaster would have the greatest potential energy at the top of a hill, as potential energy is greatest at the highest point. Option A

Explanation:

The roller coaster would have the greatest potential energy at the top of a hill (option A). At the top of the hill, the roller coaster has the most potential energy because it is at the highest point and has the greatest ability to do work.

As the roller coaster goes down the hill, its potential energy is converted into kinetic energy, which is the energy of motion.

In terms of energy, potential energy is at its maximum at the top of the hill and decreases as the roller coaster moves down, while kinetic energy is at its minimum at the top of the hill and increases as the roller coaster gains speed. Option A

we Know that gravitational field strength(g) at a point on a planet  is equal to  gravitational force exerted per unit mass placed at that point.

It Means,

g=F/m

Here,

g=gravitational field strength

F=Gravitational force

m=Mass

Case A

planet force =10 and mass= .5

g1=F/m

g1=10/.5

=100/5

g1=20m/s

case B

F=30 and m=2

therefore g2=30/2

g2=15m/s^2

case C

F=45 and m=3

g3=45/3

=15m/s^2

case D

g4=60/6

g4=10m/s^2

from above results it is clear that the gravitational field strength of planet D is minimum which is 10m/s^2 and gravitational field strength of planet A is maximum which is 20m/s^2

The word problem is about finding the dimensions of a garden using a given amount of fencing material, applying the formula for the perimeter of a rectangle, and considering that the length is twice the width.

Imagine you have a small garden in the shape of a rectangle. The length of the garden is twice its width. You want to put a fence around the entire garden to keep the rabbits out. If you have 30 meters of fencing material available, what are the dimensions of your garden?

To solve this problem, we need to set up an equation using the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since the length is twice the width, we can express the length as l = 2w. Substituting this into the perimeter formula gives us P = 2(2w) + 2w, which simplifies to P = 6w. Knowing the total perimeter is 30 meters, we can find the width using 30 = 6w, which yields w = 5 meters. The length, being twice the width, is then l = 10 meters.

Use the defining equation for kinetic energy.

E = mv² / 2

E = (1500kg)(2 m/s)² / 2

E = 6000 J / 2

E = 3000 J

Therefore, the cars kinetic energy is 3000 J.

K.E= 1/2 mv2

=1/2 (1500)(2)2

=3000J

according to conservation of momentum , total sum of momentum of the objects taking part in a collision is same before and after the collision.

Total momentum before collision = Total momentum after the collision

when a cue ball moving at velocity 1.5 m/s hits a billiard ball , transfer of momentum takes place between the balls such that total sum of momentum of cue ball and billiard ball remain same before and after the collision.

hence we say that the momentum is conserved.

We will use the percentage difference formula and so:

[tex]\frac{|Population_{final}-Population_{initial}|}{Population_{initial}}[/tex]

By plugging in our values we obtain:

[tex]\frac{321-281}{281}=0.142349[/tex]

And 0.142349 converted to percentage is :

[tex]0.142349 \times 100 = 14.2349%[/tex]

Therefore, there was a population increase of 14.2349% from 2000 to 2015 in the US.

Given:

Year 2000 = 281 million people

Year 2015 = 321 million people

321 M - 281 M = 40 M

An increase of 40 million people.

40M/281M = 0.14 or 14%.

From 2000 to 2015

the population increased by 14%

Answer:

stove burner --> pan -- > bottom of pan handle --> top of pan handle

Explanation:

Conduction is one of the three methods of transfer of heat, and it occurs when the heat is transferred by contact/collisions between the molecules of two different mediums/objects (or also between molecules of different parts of the same object).

In this case, the transfer of heat by conduction occurs as follows:

- The stove burner is heated, and it is in contact with the pan --> the molecules of the stove burner move faster (they have more kinetic energy), so they transfer thermal energy (heat) by conduction to the molecules of the pan

- The pan is heated, and the same process occurs, but this time the heat is transferred to the bottom of the pan handle, which is attached to the pan

- Then, the bottom of the pan handle becomes hot, and by conduction heat is transferred also the part of the handle which is farther from the pan, so to the top part of the handle

Amplitude is the height of a wave.

Their weight changed but their mass didn't. The moon is smaller than the Earth and has a weaker gravitational pull and makes you weigh lighter. Your weight on the Moon is 16.5% what you would experience on Earth. Mass never changes.

Hope it helps.

In 1969, humans landed on the moon for the first time, the astronaut's weight changed because there is a difference in the gravity of the earth and the moon, but the mass of the astronaut does not change because mass is the content of matter and it is independent of the variation in gravity

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The mass of an amount remains constant throughout all planets in the cosmos, but its weight varies depending on the gravity of each one.

Thus, When humans first set foot on the moon in 1969, the astronaut's weight changed due to the difference in the gravitational pull between the earth and the moon, but the astronaut's mass did not change because mass is the component of matter and is unaffected by changes in gravity.

Learn more about gravity from here

brainly.com/question/4014727

#SPJ5

The time frame is the same for both triangles and the area is the same for both triangles. hence, option (2) and (3) are correct.

According to Kepler's Second Law, a line extending from the sun to the planet sweeps out equal regions of the ellipse in equal amounts of time. Accordingly, the planet moves more slowly away from the sun than it does toward it.

So, the two highlighted triangles in the image refer that:

Hence option (2) and (3) are correct.

Learn more about  keplers second law here:

https://brainly.com/question/4216415

#SPJ5

The force between two charges is proportional to the product of the charges.

If only one of the charges is reduced by a factor of 3, then the force is reduced by a factor of 3.

If both charges are reduced by a factor of 3, then the force is reduced by a factor of 9.

Answer: It is reduced by a factor of 3.

Explanation:

Answer:

answer is D

Explanation:

I just took this asesment

Answer if you have a picture on your screen if to man pulling a cart it’s c

Explanation:

This is because the nasal mucus is blocking the nasal passage, meaning that if there is anything that he/she is trying to smell will be blocked by the mucus and will not be able to go down into the nasal passage where the smells are detected.

Answer:

4 AU

Explanation:

We can solve the problem by using Kepler's third law, which states that the ratio between the square of the period of revolution of a planet around the Sun and the cube of its average distance from the Sun is constant for every planet orbiting the Sun:

[tex]\frac{T^2}{r^3}=k[/tex]

where

T is the orbital period

r is the average distance of the planet from the Sun

If we take two planets 1 and 2, the equation can be rewritten as

[tex]\frac{T_1^2}{r_1^3}=\frac{T_2^2}{r_2^3}[/tex]

In this problem, we have:

[tex]T_1 = 1 y[/tex] is the orbital period of the Earth

[tex]r_1 = 1 AU[/tex] is the distance of the Earth from the Sun

[tex]T_2 = 8 y[/tex] is the orbital period of the second planet

Therefore, we can re-arrange the equation to calculate r2, the averag distance of the other planet from the Sun:

[tex]\frac{r_2^3}{T_2^2}=\frac{r_1^3}{T_1^2}\\r_2 = \sqrt[3]{\frac{r_1 ^2 T_2^2}{T_1^2}}=\sqrt[3]{\frac{(1 AU)^3(8 y)^2}{(1 y)^2}} =4 AU[/tex]

Answer:

4

Explanation:

D) Potential gravitational energy. Since the roller coaster cars are a the top of the roller coaster they have potential energy due to the gravity's downwards pull on them.

D) potential gravitational energy

Potential gravitational  energy is the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field. In simple terms, it can be said that potential  gravitational energy is an energy that is related to gravitational force or to gravity.

There are a many types of potential energy but when we talk about the height , when something is kept on a certain height their occur a gravitational force acting on that object and potential gravitational energy can be calculated as U = m*g*h  , since  roller coaster has potential energy when it is sitting at the top of this loop

hence , correct answer is D) potential gravitational energy

learn more about potential gravitational energy

https://brainly.com/question/8822715?referrer=searchResults

#SPJ2

You must know the wavelength and the frequency.

The magnitude of the net force causing the block's acceleration can be found using Newton's second law of motion. For a block on a frictionless ramp inclined at 15 degrees, the net force is equal to the weight of the block multiplied by the sine of the angle of incline. In this case, the magnitude of the net force is approximately 2.1 newtons.

The magnitude of the net force causing the block's acceleration can be determined using Newton's second law of motion, which states that the net force on an object is equal to its mass multiplied by its acceleration. Since the ramp is frictionless, the only force acting on the block is its weight. We can break the weight into two components: the force along the ramp (parallel) and the force perpendicular to the ramp.

The force along the ramp can be found by multiplying the weight by the sine of the angle of incline, which is 15 degrees. The force perpendicular to the ramp is the weight multiplied by the cosine of the angle of incline. Since there is no force perpendicular to the ramp, we only need to consider the force along the ramp. Given that the weight of the block is 8.0 newtons, the magnitude of the net force causing the block's acceleration is 8.0 newtons multiplied by the sine of 15 degrees, which is approximately 2.1 newtons. Therefore, the correct option is 2.1N.

Final answer:

The magnitude of the net force causing the block's acceleration down a 15-degree frictionless incline is 2.1N, calculated using the gravitational force component along the incline.

Explanation:

The student is asking about the magnitude of the net force causing acceleration in a block sliding down a frictionless incline. The block has a weight of 8.0 newtons, and the incline is at a 15-degree angle to the horizontal. To find the net force, we need to calculate the component of the gravitational force that acts along the incline. This is done by multiplying the weight of the block by the sine of the angle of the incline.

Here's the calculation: net force (F_net) = weight (mg) × sin(θ), where g is the acceleration due to gravity (9.8 m/s²) and θ is the incline angle. Plugging in the known values, F_net = 8.0 N × sin(15°). The sine of 15 degrees is approximately 0.2588. So, F_net = 8.0 N × 0.2588 ≈ 2.07 N.

Therefore, the correct answer is 2.1N, which is the magnitude of the net force causing the block's acceleration down the incline.

Potential energy is the store she energy from an object this could include rubber bands. Kinetic energy is the energy that deals with motion a good example is a person running

Hello There!

Potential energy is energy that is stored in an object. Kinetic energy involves motion so an object that has potential energy turns into kinetic energy.

An example could be a roller coaster going up a hill and it's building potential energy so when it goes down the hill, the potential energy will turn into kinetic energy.

The refractive index of a medium is independent of (not related to) the angles of incidence or refraction.  It's just a property of the medium.  (D)

Answer:

The ball will have a kinetic energy of 0.615 Joules.

Explanation:

Use the kinetic energy formula

[tex]E_k = \frac{1}{2}mv^2 = \frac{1}{2}0.032kg\cdot 6.2^2 \frac{m^2}{s^2}= 0.615J[/tex]

The kinetic energy at the moment of leaving the hand will be 0.615 Joules. (From there on, as it ball is traveling upwards, this energy will be gradually traded off with potential energy until the ball's velocity becomes zero at the apex of the flight)

Answer:

0.655 seconds

Explanation:

92.4 ft/s=

60.5/x

Cross multiply:

60.5s =92.4ft x

Divide both sides by 92.4

=0.655s

Given data :

Work (W) = 1200 J ,

distance (S) = 20 m ,

Determine the Force applied to the box = ?

                  Work done = F. S

                            1200 = F . 20

                                  F = 60 N

Force applied to the box is 60 N

1 Continental drift

2 the layers of rock

One peice of evidence is fossils.  If similar fossils are in different continents like one is in soutch america and he other is in africa then how would the dino bones be apart? they can't swim...

The other is climates and land forms. Palentologist have found tropical plant fossils in an island of the Arctic ocean where it is way to cold for plants to even grow... Plants can't telaport....

#sHoOk ! EVIDENCE!!

Should be the Lithosphere

Answer:

9 m

Explanation:

The elastic potential energy initially stored in the spring is given by:

[tex]U=\frac{1}{2}kx^2[/tex]

where

k = 2500 N/m is the spring constant

x = 32 cm = 0.32 m is the compression of the spring

Substituting:

[tex]U=\frac{1}{2}(2500 N/m)(0.32 m)^2=128 J[/tex]

Due to the law of conservation of energy, when the spring is released all this energy is converted into kinetic energy of the rock, which starts moving upward. As the rock reaches its maximum height, all the energy has been converted into gravitational potential energy:

[tex]U=mgh[/tex]

where

m = 1.5 kg is the rock's mass

g = 9.8 m/s^2 is the gravitational acceleration

h = ? is the maximum height reached by the rock

Using U=128 J, we find h:

[tex]h=\frac{U}{mg}=\frac{128 J}{(1.5 kg)(9.8 m/s^2)}=8.7 m \sim 9 m[/tex]

Answer:

9m

Explanation:

got right on edg