Acceleration is slower, so it's going to be negative:
a=Δv/Δt=(v-v₀)/t=(60-45)/5.0=15/5.0=3 m/s²
Answer:
Acceleration of the car is 3 m/s^2
Explanation:
Given that,
Initial speed of the car, u = 60 m/s (towards north)
Final speed of the car, v = 45 m/s (towards north)
Time taken, t = 5 s
To find :
The magnitude of the acceleration of the car.
Solve :
Let a is the acceleration of the car. It is equal to the rate of change of velocity. Its formula is given by :
[tex]a=\dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{(45-60)\ m/s}{5\ s}[/tex]
[tex]a=-3\ m/s^2[/tex]
[tex]|a|=3\ m/s^2[/tex]
Negative sign shows the car is decelerating.
Therefore, the magnitude of the car's acceleration is 3 m/s^2.
The gravitational force acting on various masses is measured on different planets. Measured values for the forces acting on the corresponding masses are shown in the data table. Analyze the data and develop a method for comparing the gravitational field strengths on the different planets. Use your method to compare the gravitational field strengths, and report your conclusions.
Plant force(N) Mass(kg)
A 10 0.50
B 30 2.0
C 45 3.0
D 60 6.0
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
A spring with a spring constant value of 2500 is compressed 32 cm. A 1.5-kg rock is placed on top of it, then the spring is released. Approximately how high will the rock rise? 9 m 17 m 27 m 85 m
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
This roller coaster has potential energy when it is sitting at the top of this loop. As the cars move down, the potential energy changes into energy of motion. What kind of potential energy does the roller coaster have at the top of the loop?
A) potential chemical energy
B) potential elastic energy
C) potential electrical energy
D) potential gravitational energy
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
What is 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
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Calculate the kinetic energy of a 0.032 kg ball as it leaves a hand to be thrown upwards at 6.2 m/s
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)
At a distance of 1 A.U., the earth takes one year to travel around the sun. How far away is a planet that takes eight years to go around the sun?
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:
What is amplitude?
A) Amplitude is the height of a wave
B) Amplitude is the time it takes for one complete wave to pass a given point
C) Amplitude is the number of complete waves that pass a point in a second
D) Amplitude is the distance between two crests or two troughs
Amplitude is the height of a wave.
What is true about the refractive index of a medium?
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)
Explain why a person who has runny nose is unable to detect smells clearly.
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.
To determine the speed of a wave, you must know the waves wavelength and_____
You must know the wavelength and the frequency.
A 2.0-kg mass is projected from the edge of the top of a 20-m tall building with a velocity of 24 m/s at some unknown angle above the horizontal. Disregard air resistance and assume the ground is level. What is the kinetic energy of the mass just before it strikes the ground? Answer: 0.97 kJ.
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
How much force does it take to accelerate a 2000-kg car at 4m/s2
A) 500N
B) 19,600 N
C) .002
D) 8000
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.
5. Where would a roller coaster have the greatest potential energy? A. at the top of a hill B. halfway up the hill C. halfway down the hill D. at the bottom of the hill
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
PLZ HELP, THIS IS FOR FINALS
I dont understand what it means...
The diagram shows a pot sitting on a gas stove burner. Which shows the order in which thermal energy is transferred by conduction? stove burner pan bottom of pan handle top of pan handle top of pan handle bottom of pan handle pan stove burner pan stove burner bottom of pan handle top of pan handle top of pan handle bottom of pan handle stove burner pan
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
What is an example of potential energy to kinetic energy?
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.
A baseball is thrown from the pitcher’s mound to home plate, a distance of 60.5 feet. If the baseball travels at 92.4 feet per second, how long does it take to reach home plate?
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
write an word problem about perimeter
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.
The _______ is broken up into tectonic plates, which make up the hard and rigid surface of the Earth. A. solid core B. convective mantle C. liquid core D. lithosphere
Should be the Lithosphere
In 1969, humans landed on the moon for the first time. Did the astronaut's weight or mass change? Explain your answer.
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
What is 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.
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Type the correct answer in the box. Round your answer to the nearest whole number. The population in the United States in 2000 was about 281 million people. In 2015, it was 321 million people. From 2000 to 2015, what percentage did the population increase
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%
describe at least 2 reasons (pieces of evidence) for why we know that the continents were once joined together and have since drifted apart.
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!!
how is momentum conserved when a cue ball moving with a velocity of 1.5 m/s strikes another billiard ball white playing pool? Show the work.
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.
What must be true of the two highlighted triangles in the image? Check all that apply. | 1. The speed of the planet is the same for both triangles. | 2. The time frame is the same for both triangles. | 3. The area is the same for both triangles. | 4. The gravitational force is the same for both triangles.
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.
What is Kepler's second law?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.
According to Kepler's second law, the radius vector that is drawn from the sun to the planet covers equal regions during equal periods of time.The second law of Kepler states that the speed of the planets' motion through space is constantly changing.The second law explains why planets move more quickly as they get nearer to the Sun.So, the two highlighted triangles in the image refer that:
The time difference is the same for both triangles. The area swept by the radial vector is the same for both triangles.Hence option (2) and (3) are correct.
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An 8.0newton block is accelerating down a frictionless ramo inclined at 15 degrees to the horizontal. What is the magnitude of the net force causing the blocks acceleration?
1. 0N
2. 2.1N
3. 7.7N
4. 8.0N
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.
Explanation: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.
why did scientists develop modles of atoms?
Help quick!!!!!
According to the ideal gas law, decreasing the volume of a closed reaction container increases the thermal energy because the.
A) pressure and collision frequency increase.
B) collision frequency decreases.
C) temperature remains the same.
D) R is multiplied.
1200 j of work was done to move a 20m What Force was applied to the box?
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
The image above shows two opposite forces acting on a rope, what can we say is true about the affect of the forces on the rope? A) It cannot be determined without knowing which man is stronger. B) The forces are not balanced, because one man is standing taller than the other. C) The forces are balanced. But, the forces acting on the rope have increased and the rope’s motion is affected. D) The forces are balanced. Thus, there is no change in forces acting on the rope and the rope’s motion is not affected.
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:
A car has a speed of 2 m/s and a mass of 1500 kg. What is the cars kinetic energy?
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
How does the electric force between two charged particles change if particle's charge is reduced by a factor of 3?
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: