Answer:
Two objects are identical except that on is hotter than the other. Thus, when an equal force acts on them the hotter one will move faster or will get displaced more or stop slower than the other one. This is because the hotter object has comparatively more mobile particles than the other
Hope this helps!
Final answer:
Identical forces exerted on two objects with different temperatures will affect them equally according to Newton's third law, but their responses, such as stress and expansion, may differ due to properties like thermal expansion coefficients. Also, at thermal equilibrium, the final temperature is closer to the object with greater heat capacity. The hotter star of two identical stars will be significantly brighter.
Explanation:
Response to the Student's Question
When two objects are identical except for temperature and they are exposed to identical forces, the forces they experience will be the same due to Newton's third law. However, the effect of the force may differ if their temperatures lead to different physical properties like thermal expansion. If object A has a higher thermal expansion coefficient than object B and both are heated identically, A will likely feel greater stress because it will expand more, which could create internal strain if constrained. For the question about the heat capacities, when two objects—one hot, one cold—are brought into contact, the final temperature at thermal equilibrium will be closer to the object with the higher heat capacity, in this case, the colder object. Therefore, it will not be exactly halfway between the two initial temperatures.
In the context of stars, brightness is related to temperature. The star with a temperature of 8700 K will be brighter than the star at 2900 K due to Wien's Law and the Stefan-Boltzmann Law, which relate temperature to luminosity and energy output. The hotter star is, therefore, significantly brighter.
What determines if an object will float or sink in a fluid?
A. Size
B. Mass
c. Weight
D. Density
how long must a current of 100mA flow so as to transfer a charge of 80 C?
Answer:
800s
Explanation:
Q=It
where,
Q=80c
I =100MA=0.1A
t=?
Q=It
800=0.1×t
t=80×0.1
t=800s
Answer:
800 secs
Explanation:
Q = it
80 = 100 x10^-3 t
t = 80/0.1
= 800secs
The table below shows the average wind speeds of four hurricanes in Florida. Florida Hurricanes Hurricane | Average Wind Speed (miles per hour)|
A | 160|
B | 95|
C | 140|
D | 103|
Which hurricane most likely caused the greatest damage?
Hurricane A Hurricane B Hurricane C Hurricane D
Answer:
The Saffir-Simpson Hurricane Wind Scale is a 1 to 5 rating based on a hurricane's sustained wind speed. This scale estimates potential property damage. Hurricanes reaching Category 3 and higher are considered major hurricanes because of their potential for significant loss of life and damage. Category 1 and 2 storms are still dangerous, however, and require preventative measures. In the western North Pacific, the term "super typhoon" is used for tropical cyclones with sustained winds exceeding 150 mph. Note that all winds are using the U.S. 1-minute average.
Category One Hurricane
Winds 74-95 mph (64-82 kt or 119-153 km/hr). Very dangerous winds will produce some damage: Well-constructed frame homes could have damage to roof, shingles, vinyl siding and gutters. Large branches of trees will snap and shallowly rooted trees may be toppled. Extensive damage to power lines and poles likely will result in power outages that could last a few to several days. Irene of 1999, Katrina of 2005, and several others were Category One hurricanes at landfall in South Florida.
Category Two Hurricane
Winds 96-110 mph (83-95 kt or 154-177 km/hr). Extremely dangerous winds will cause extensive damage: Well-constructed frame homes could sustain major roof and siding damage. Many shallowly rooted trees will be snapped or uprooted and block numerous roads. Near-total power loss is expected with outages that could last from several days to weeks. Frances of 2004 was a Category Two when it hit just north of Palm Beach County, along with at least 10 other hurricanes which have struck South Florida since 1894.
Category Three Hurricane
Winds 111-129 mph (96-112 kt or 178-208 km/hr). Devastating damage will occur: Well-built framed homes may incur major damage or removal of roof decking and gable ends. Many trees will be snapped or uprooted, blocking numerous roads. Electricity and water will be unavailable for several days to weeks after the storm passes. Unnamed hurricanes of 1909, 1910, 1929, 1933, 1945, and 1949 were all Category 3 storms when they struck South Florida, as were King of 1950, Betsy of 1965, Jeanne of 2004, and Irma of 2017.
Category Four Hurricane
Winds 130-156 mph (113-136 kt or 209-251 km/hr). Catastrophic damage will occur: Well-built framed homes can sustain severe damage with loss of most of the roof structure and/or some exterior walls. Most trees will be snapped or uprooted and power poles downed. Fallen trees and power poles will isolate residential areas. Power outages will last weeks to possibly months. Most of the area will be uninhabitable for weeks or months. The 1888, 1900, 1919, 1926 Great Miami, 1928 Lake Okeechobee/Palm Beach, 1947, Donna of 1960 made landfall in South Florida as Category Four hurricanes.
Final answer:
Hurricane A most likely caused the greatest damage as it is categorized as a Category 5 hurricane with wind speeds exceeding 155 mph, known for catastrophic impact.
Explanation:
Based on the data provided, Hurricane A, with an average wind speed of 160 miles per hour, most likely caused the greatest damage. According to the Saffir-Simpson Hurricane Scale, Hurricane A's wind speed places it as a Category 5 hurricane. Category 5 hurricanes have sustained winds of more than 155 miles per hour and are known for catastrophic damage, including destroying buildings, roofs, and structures, as well as uprooting trees and shrubs. As such, the hurricane with the highest wind speeds is usually expected to cause the most severe destruction. This is further supported by the fact that the power of a hurricane scales as the cube of wind velocity, and given that velocities exceed 50 m/s (approximately 110 mph), the intensity and potential for destruction grows significantly with increases in wind speed.
What’s the difference between 40hz and 300hz
Answer:
40hz has less frequency of sound and 300hz has more frequency of sound which means 40hz has less crest and troughs , so it has less reachability thank 300hz.
Explanation:
BRAINLIEST:
How do forecasters predict hurricanes?
Weather forecaster can predict hurricanes through two methods:
by calculating the seasonal probabilitiesby estimating the recent hurricane scenarios.Explanation:
Prediction of Hurricanes
With the help of elementary statistics, meteorologists can predict the intensity of hurricanes coming in specific regions with the approximate wind speeds. The possible trajectory of hurricanes can be drawn as a cone which is updated by estimating the error in the prediction.
Based on the past events of hurricanes and the current climate conditions, a statistical regression equation is formed. There are many many models such as NHC90 and BAM that help meteorologists to predict the intensity of waves and eventually the probability of hurricanes coming in specific regions.
This graph indicates that the kinetic energy of an object is increasing. What is the most reasonable explanation for this observation?
A) The object's mass has doubled.
B) The object's velocity doubled.
C) The object's velocity has quadrupled.
D) The object's velocity and mass doubled.
B) The object's velocity doubled.
Explanation:
The graph is missing: find it in attachment.
The kinetic energy of an object is the energy possessed by the object due to its motion. It is calculated as
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is the velocity of the object
We notice that:
The kinetic energy is directly proportional to the massThe kinetic energy is proportional to the square of the velocityIn the graph, one of the two quantities (either mass or speed) is represented on the x-axis, while the quantity on the y-axis is the kinetic energy.
First of all, we notice that the relationship is not linear: this means that the quantity on the x-axis cannot be the mass, so it must be the velocity.
Moreover, we notice that when the quantity on the x-axis increases from 1 to 2 (so, it doubles), the kinetic energy increases by a factor of 4. This means that the object's velocity has doubled, therefore
B) The object's velocity doubled.
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Final answer:
Kinetic energy is proportional to mass and the square of velocity. A quadrupling of velocity would result in a sixteen-fold increase in kinetic energy, making it the most substantial change among the given scenarios. Option B) The object's velocity doubled is the correct choice.
Explanation:
When observing that the kinetic energy of an object is increasing, it's important to consider the relationship between mass, velocity, and kinetic energy. The kinetic energy (KE) of an object is given by the equation KE = ½ mv², which tells us that kinetic energy is proportional to the mass of the object (m) and to the square of its velocity (v). Therefore, if the velocity doubles, the kinetic energy would not merely double but increase by a factor of four (since ² = 2² = 4). Doubling both mass and velocity would increase the kinetic energy by a factor of eight (since 2 * 4 = 8). Given the options, the object's velocity doubling would certainly increase the kinetic energy, but for the most significant increase, the most reasonable explanation would be that the object's velocity quadrupled, which would directly increase the kinetic energy by a factor of sixteen.² (since 4² = 16).
If an airplane undergoes a displace-
ment of 500. km northwest in 1.2 hr,
what is its average velocity?
Final answer:
The average velocity of the airplane is calculated using the formula: velocity equals displacement divided by time. For a displacement of 500 km northwest over 1.2 hours, the average velocity is 416.67 km/h northwest.
Explanation:
Calculating Average Velocity
To calculate the average velocity of an airplane that has a displacement of 500 km northwest in 1.2 hours, we need to use the formula for average velocity, which is the displacement divided by the time taken. Since the displacement is given as a northwest direction, we are dealing with vector quantities, meaning that both magnitude and direction are important. However, for average velocity, we are concerned with the magnitude of this vector quantity.
The formula to calculate average velocity, v, is:
v =[tex]rac{d}{t}[/tex]
In this problem:
Displacement (d) = 500 km northwest
Time (t) = 1.2 hours
To find the average velocity, we divide the displacement by the time:
v = rac{500}{1.2} = 416.67 km/h northwest
The airplane's average velocity is 416.67 km/h in the northwest direction.
.
has
p(x) = 2x3 – 3x2-mx-6
1. The polynomial function has x-2
as one of its factors. What is the value of m?
The value of m = - 1.
Explanation:
An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.
P(x) = 2x^3 - 3x^2 - mx - 6
x - 2 is one of the factor of the polynomial.
So x - 2 = 0
x = 2
Substituting the value of x,
P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6
2(8) - 3(4) - m(2) - 6 = 0
16 - 12 - 2m - 6 = 0
- 2 - 2m = 0
- 2m = 2
m = - 1
the theory of gravity is considered to be a theory because
Answer:
Gravity is considered a theory because it is supported by extensive experimental evidence and has successfully predicted the behavior of objects in the universe.
Hope this helps you mate
3. Why do elements in a group have similar properties?
Answer:
Elements belonging to the same periodic group reflects similar chemical properties because of the same number of valence electrons residing in their outermost orbits that reflect the same energy level.
Explanation:
Elements of a periodic group reflecting similar properties
We often observe that a specific group of elements reflect common characteristics towards other elements. This is because these elements have their valence electrons in the same energy levels.
This is the prime factor according to which elements are kept in a specific group in the periodic table. All elements in the group have the same number of valence electrons. These elements may have different number of electrons over all. Elements belonging to the same group shows the same chemical properties such as bonding with other elements, reacting to other substances etc.
Elements in the same group on the periodic table have similar properties because they have the same number and distribution of valence electrons. This affects how they behave chemically, as represented by the similarities within groups such as the alkali metals and the halogens.
Explanation:Elements in a group on the periodic table exhibit similar properties due to their similar electron configuration. That is, they all have the same number and distribution of electrons in their valence shells. This shared trait influences how these elements behave chemically. For instance, in Group 1 (the alkali metals), elements like lithium and sodium each have only one valence electron, which makes them highly reactive. Similarly, elements in Group 17 (the halogens) like fluorine and chlorine each have seven valence electrons, making them also very reactive, but in a different way than Group 1 elements. The nature of these group similarities underpins the principle of the periodic table and helps predict how different elements are likely to react.
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Spiral, elliptical, irregular, and barred spiral are descriptions of different shapes of ________. A. stars B. galaxies C. solar systems D. orbits
Answer:
B. galaxies
Explanation:
Galaxies are clusters of stars, gas and dark matter. They are classified based on the shape they form. There are three main categories: Spiral, elliptical, and irregular. As their named suggests, that is what they look like.
Barred spiral galaxies are a subcategory of spiral galaxies. The nucleus of the galaxy (Center) a bar material is formed and arms branch out from the ends of it.
Some galaxies on the other hand, do not fit the main categories.
Attached is a picture of the common and uncommon categories of galaxies.
suppose that a new miracle pills allows a person to function with pmly one hour of sleep per night
Complete Question: Suppose that a new “miracle pill” is on the market that will allow a person to function with only one hour of sleep each night. However, because a night’s sleep is so short, a person who takes the pill will never dream again. Knowing what you do about the functions of sleep and dreaming, what would be some advantages and drawbacks of such a pill from a personal standpoint? Would you take such a pill?
Answer:
If the miracle pills are available in the drug stores and approachable to anyone who wants to shorten their sleep time and eliminates dreaming during sleep certainly has some consequences upon them. The following are the advantages and disadvantages of those consequences.
Advantages of miracle pills:
Those who take miracle pills are more productive and efficient than other because they take less hours for sleep. As they take less hours for sleep it means they have more hours available for work. And if they have more hours, they certainly do more work.Those who do not dream due to miracle pills have more realistic approach towards life. Those who consume miracle pills will be more focused to the details than those who do not.Disadvantages of miracle pills:
As human body is designed in the specific way, it is mention that how much amount of sleep is sufficient for certain age group. By going against nature, less sleep due to miracle pills may results in stress in the individuals. Those who take miracles pills have more health issues then those who do not.Due to excessive work body muscles tend to become sore and stretched. which may also cause serious conditions later on.Due to artificial way of taking less sleep mental capability become limited. A person become less creative in ideas because their emotions and actions are forced by external factors and by their own thinking and judgement. No dreaming, makes anyone thoughts bounded as they are unable to predict future and to see their pasts, and they are only limited to face the present situations will make them less aware of the world around them.My Opinion about miracle pills:
In my opinion, I will surely not be taking those pills which lessen my sleep artificially. As they have some major outfalls on person mental and physical health, I will not use miracle pills to shorten by sleep. Because taking a sufficient amount of sleep is necessary for a healthy body and a sound mind.
What type of energy is formed when an object encounters friction?
Answer:
thermal energy
Friction does negative work and removes some of the energy the person expends and converts it to thermal energy. The net work equals the sum of the work done by each individual force. The forces acting on the package are gravity, the normal force, the force of friction, and the applied force.
Explanation:
Answer:
Explanation:
Thermal energy due to heat coming in from rubbing like rubbing your hand and it feel warm
objects with three very different sizes and weights are dropped off a tower on the moon. which factor of the objects will determine which hits the ground first?
1) size
2) weight
3) shape
4) none of these matter. with no air resistance, they all hit the ground at the same time.
4) none of these matter. with no air resistance, they all hit the ground at the same time.
Explanation:
The motion of the objects is a free fall motion, since the only force acting on them is gravity. Therefore, it is a uniformly accelerated motion with constant acceleration [tex]g[/tex] (acceleration of gravity) towards the ground, and so we can find the time of flight by using the suvat equation:
[tex]s=ut+\frac{1}{2}at^2[/tex]
where
s is the vertical displacement (equal to height of the tower)
u = 0 is the initial velocity
t is the time
[tex]a=g[/tex] is the acceleration
Re-arranging the equation.
[tex]t=\sqrt{\frac{2s}{g}}[/tex]
As we can see, the time of flight depends only on the height of the tower (s) and the acceleration due to gravity (g): therefore, the three objects reach the ground at the same time.
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A piece of metal is 4 cm by 10 cm
by 2 cm. Find its mass if it has a
density of 2 g/cm'.
Answer:
m=ρV
V=LxWxD
V=4x10x2=80
m=2*80=160 grams
Explanation:
Mass is equal to density multiply by volume of object. Volume of rectangle pice can be calculated by multiplying all sides.
Final answer:
The mass of the metal piece is calculated by first obtaining the volume, which is 80 cm³, and then using the density to find the mass, resulting in a mass of 160 g.
Explanation:
Metals are components or with brilliant, hard, moldable, blending, pliable properties. Name of metal (material) types are - Gold, Silver, Aluminum, Copper, Iron, and so on. They are utilized to create devices as they might be strong and effectively formed.
To find the mass of a piece of metal with given dimensions and density, first calculate its volume and then apply the formula for mass. The volume of a rectangular piece of metal is found by multiplying its length, width, and height.
Volume = Length x Width x Height = 4 cm x 10 cm x 2 cm = 80 cm³.
Once the volume is known, the mass can be calculated using the given density:
Mass = Density x Volume = 2 g/cm³ x 80 cm³ = 160 g.
Therefore, the mass of the metal piece is 160 grams.
How much momentum does a 5 kg bowling ball have when its traveling at a velocity of 8 m/s? Question 6 options: 40 kg*m/s 0.625 kg*m/s 3 kg*m/s 1.6 kg*m/s
Answer:
The momentum of the bowling ball is 40 kg m/s.
Explanation:
Momentum is defined as the product of mass and velocity acting on that object. So it is a measure of the change in the velocity for the given force with the mass of the object.
Momentum = Mass × Velocity.
As the mass of the object is given as 5 kg and the velocity is given as 8 m/s, then the momentum will be
Momentum = 5 kg × 8 m/s = 40 kg m/s.
So, the momentum of the bowling ball is 40 kg m/s.
A student is studying the fossils of a plant species that lived several million years ago. The fossils of this species are found in Australia and Antarctica.Which statement is the MOST LIKELY explanation for why fossils of this plant are found on these two continents? *
Answer:
B. Australia and Antarctica were a single landmass in the past.
Explanation:
Just trust me ; )
A charge of 5.67 x 10-18 C is placed 3.5 x 10 m away from another charge of - 3.79 x 10 "C
What is the force of attraction between them?
Answer:
1. 579 x 10 ^-22N
Explanation:
F = kq1q2/r^2
= 9.0 x 10^9 x 5.67 x 10^-18 x 3.79 x 10^-18/ (3.5 x 10^-2)^2
= 1. 579 x 10 ^-22N
The attraction force between two charges is [tex]1.55 \times 10^{-22} \;\rm N[/tex].
Force Between Two ChargesCoulomb's law is used to find out the force of attraction between two charges placed at a certain distance. This law states that, when two point charges are placed at a distance, the force of attraction between them is proportional to the product of both charges and inversely proportional to the square of the distance between them.
[tex]F \propto q_1q_2[/tex] and [tex]F \propto \dfrac{1}{r^2}[/tex]
[tex]F =K \dfrac {q_1q_2}{r^2}[/tex]
Where K is the coulombs constant whose value is 8.988×109 N⋅m2⋅C−2.
Given that charges q1 and q2 are 5.67 x 10-18 C and 3.79 x 10 "C. The distance r is 3.5 x 10 m. The force of attraction is given below.
[tex]F = 8.98\times 10^9 \dfrac {5.67 \times 10^{-18}\times 3.79 \times 10^{-18}}{(3.5\times 10^{-2})^2}[/tex]
[tex]F = 1.55\times 10^{-22} \;\rm N[/tex]
Hence we can conclude that the attraction force between two charges is [tex]1.55 \times 10^{-22} \;\rm N[/tex].
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What is another way of saying “getting the smallest possible force”?
Answer:
MOMENTUM
Explanation:
another way of saying getting the smallest force possible is the word " MOMENTUM".
momentum is the ability to keep maintaining,incresing or itself developing to move at constant speed or to increase the speed.
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An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the right.
The displacement of the object is
Answer: B. 5
Explanation: the right of 0 on a horizontal number line is positive, and then to the left to 0, is negative. So, 3 units to the right is 3, and then 4 units to the left (3 - 4 = -1), then, 6 units to the right (-1 + 6 = 5).
Hope this helped. :)
Which of the following is a vector quantity?
O
A. 35.6 pounds at 3 years old
O
B. 25 gallons of water
O
C. 100 mph maximum
O
D. 30 m/s going west
?
Answer:
D
Explanation:
30ms-1 going west is vector quantity.
What is a vector quantity? It is a quantity that has both direction and magnitude.
In the first three options there is only magnitude, like weight age and things.
But the last one has both magnitude and direction.
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A toy car is moving along with 0.40 joules of kinetic energy if it’s speed is double then it’s new kinetic energy will be ?
Answer: .8
Explanation: because .40×2 =.8
If the speed of the toy car is doubled, its new kinetic energy will be 1.6J
Kinetic energy is the energy an object possesses as a result of its motion. It is given by:
Kinetic energy = (1/2) * mass(m) * velocity(v)²
Given a kinetic energy of 0.4 joules, hence:
(1/2)mv² = 0.4
If the speed is doubled:
K.E = (1/2)m(2v)² = 4 * (1/2)mv² = 4 * 0.4 = 1.6J
If the speed of the toy car is doubled, its new kinetic energy will be 1.6J
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liquid helium has a temperature of 4k what is the temperature on celsius and fahrenheit?
Answer:
a.—269°C
b. —452.2°F
Explanation:Please see attachment for explanation
As a bike accelerates from rest, it gains
Answer:
kenetic energy
When you arent moving something its called potential enegy when its moving it changes into kinetic energy
Answer:
momentum, speed, velocity, and kinetic energy
Explanation:
What is the kinetic energy of the ball just before it hits the ground?
Answer:
[tex]0.5mv^{2}[/tex]
Explanation:
Kinetic energy, [tex]KE= 0.5mv^{2}[/tex]
while potential energy, PE= mgh where m is the mass, v is the velocity of the ball, g is acceleration due to gravity and h is the height.
The question requires kinetic energy hence we use the [tex]KE= 0.5mv^{2}[/tex]
Since the figures are not given, we maintain that [tex]KE= 0.5mv^{2}[/tex]
The kinetic energy of a ball just before it hits the ground is its motion energy due to gravitational potential energy conversion. It can be computed using the kinetic energy formula and the ball's mass and velocity. The energy dissipates and converts during the bounce, depending on the coefficient of restitution.
Kinetic Energy Before Colliding with the Ground
The kinetic energy of a ball just before it hits the ground is the energy it has due to its motion. This energy is obtained from the conversion of gravitational potential energy into kinetic energy as the ball falls. Assuming no non-conservative forces are acting on the ball, such as air resistance, the kinetic energy can be calculated using the equation KE = 1/2 mv₂, where m is the mass of the ball and v is its velocity just before impact. The velocity can be found using kinematic equations or the conservation of energy principle. Since its initial potential energy is converted entirely into kinetic energy at the moment before collision, if the height from which the ball was dropped is known and the mass of the ball is given, one can accurately calculate its velocity and consequently its kinetic energy just before the impact.
Conversion and Dissipation of Energy During Bounce
Once the ball collides with the ground, its kinetic energy is temporarily transferred into other forms, including elastic potential energy and thermal energy due to deformation. The coefficient of restitution, represented as e, determines what fraction of the kinetic energy is retained after the collision. Hence, the kinetic energy of the ball just after it bounces up will be a fraction e2 of its initial kinetic energy before the collision. As the ball ascends, this kinetic energy is once again converted back into potential energy.
If sodium has one valence electron and sulfur has six, how many sodium atoms are needed to form an ionic bond with sulfur?
ITS TWO
Answer: two
Explanation:
Answer:
Its 2
Explanation:
This compound has a central Sulfur atom surrounded by 4 Oxygens in a covalent bonds, with an overall charge of negative 2 and 2 Sodium atoms with a charge of positive one. Thus making the answer 2.
Normally the rate at which you expend energy
during a brisk walk is 3.5 Calories per minute.
(A Calorie is the common unit of food energy,
equal to 4184.1 Joules.)
How long do you have to walk in order to
produce the same amount of energy as in a
candy bar (approximately 280 Cal)?
Answer in units of min.
please help
Based on the calculations, you would have to walk for 80 minutes to expend the same amount of energy.
Given the following data:
Rate of energy = 3.5 Calories per minute.1 Calorie = 4184.1 Joules.Candy bar energy = 280 Calories.How to calculate the time.Mathematically, the rate of energy expended with respect to time is given by this formula:
[tex]Rate = \frac{Energy}{time}[/tex]
Making time the subject of formula, we have:
[tex]Time = \frac{Energy}{Rate}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Time = \frac{280}{3.5}[/tex]
Time = 80 minutes.
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To produce the same amount of energy as in a candy bar, you would need to walk for 80 minutes at a rate of 3.5 Calories per minute.
Explanation:To calculate the time it would take to produce the same amount of energy as in a candy bar, we can use the equation:
Energy = Power x Time
Given that the rate at which energy is expended during a brisk walk is 3.5 Calories per minute and the energy in a candy bar is approximately 280 Cal, we can rearrange the equation to solve for Time:
Time = Energy / Power
Substituting the given values, we have:
Time = 280 Cal / 3.5 Cal/min = 80 min
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An automobile uses a braking force of 15000N to bring it to rest in 1.4s The mass of the automobile is 800kg. what is the impulse
The impulse on the car is -21,000 kg m/s
Explanation:
The impulse exerted on an object is the product between the force exerted on it and the time interval during which the force is applied:
[tex]I=F\Delta t[/tex]
where
I is the impulse
F is the force applied
[tex]\Delta t[/tex] is the time interval
For the car in this problem, we have
F = -15,000 N (the negative sign indicates that the direction of the force is opposite to the direction of motion)
[tex]\Delta t = 1.4 s[/tex] is the time interval
Therefore, the impulse on the car is
[tex]I=(-15000)(1.4)=-21,000 kg m/s[/tex]
And the negative sign indicates that the direction of the impulse is opposite to the direction of motion.
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A student walks 144 m west, and then turns around and walks 89 m east If this takes place in a 7.5-minute interval, what is the student's average velocity in meters
second? What is the student's average speed?
The average speed is 0.517 m/s
The average velocity is 0.12 m/s west
Explanation:
When dividing the total distance covered by object by time, we get the value for average speed.
[tex]\text { speed }=\frac{\text {distance}}{\text {time}}[/tex]
Calculate the distance without consideration of motion’s direction. So, the distance walks 144 m first, and then another 89 m, so the total distance covered is
d = 144 + 89 = 233 meters
Given t = 7.5 minutes. Convert minute into seconds,
[tex]7.5 \times 60=450 \text { seconds }[/tex]
So, the average speed can be calculates as below,
[tex]\text { speed }=\frac{233}{450}=0.517 \mathrm{m} / \mathrm{s}[/tex]
When dividing the object’s displacement by time taken, we can calculate average velocity.
[tex]\text {velocity}=\frac{\text {displacement}}{\text {time}}[/tex]
In given case, the students walks 144 m west first, and then 89 m east. The displacement is the distance in a straight line between the initial and final position: therefore, in this case, the displacement is
d = 144 (west) - 89 (east) = 55 m (west)
The time taken is t = 450 s
So, the average velocity is
[tex]\text {velocity}=\frac{55}{450}=0.12 \mathrm{m} / \mathrm{s}[/tex]
And the direction is west (the same as the displacement).