a) Horizontal distance covered: 8.0 m
b) The final speed is 14.3 m/s
Explanation:
a)
The motion of the package is a projectile motion, so it consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
First of all, we have to find the time of flight of the package. This is given by the vertical motion, and we can do it by using the suvat equation:
[tex]s=u_y t+\frac{1}{2}at^2[/tex]
where:
s = 8.65 m is the vertical displacement of the package (the initial height from which is thrown)
[tex]u_y=0[/tex] is the initial vertical velocity (the package is thrown horizontally)
t is the time of flight
[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity
Solving for the time of flight we find:
[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(8.65)}{9.8}}=1.33 s[/tex]
Therefore the package lands after 1.33 s.
Now we can study the horizontal motion: the package moves horizontally with a constant velocity of
[tex]v=21.5 km/h \cdot \frac{1000}{3600}=6.0 m/s[/tex]
And therefore the distance it covers in 1.33 s is
[tex]d=v_x t =(6.0)(1.33)=8.0 m[/tex]
So the package covers a horizontal distance of 8.0 m.
b)
As we said previously, the horizontal velocity of the package is constant, and it is
[tex]v_x = 6.0 m/s[/tex]
On the other hand, the vertical velocity is constantly changing, and it is given by
[tex]v_y = u_y + at[/tex]
where
[tex]u_y = 0[/tex] (initial vertical velocity)
[tex]a=g=9.8 m/s^2[/tex]
Substituting t = 1.33 s, we find the final vertical velocity:
[tex]v_y = 0 +(9.8)(1.33)=13.0 m/s[/tex] (in the downward direction)
Therefore, the final speed is given by:
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{6.0^2+13.0^2}=14.3 m/s[/tex]
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Answer:
(a) [tex]x=7.93\ m[/tex]
(b) [tex]v=15.25\ m/s[/tex]
Explanation:
Horizontal Launching
When an object is released from certain height h with a (only) horizontal speed vo, it describes a curved trajectory with a constant speed in the horizontal direction and a variable speed in the vertical direction, constantly changed by the acceleration of gravity. Their equations are
[tex]v_x=v_o[/tex]
[tex]v_y=g.t[/tex]
The distances traveled in both directions are
[tex]x=v_o.t[/tex]
[tex]\displaystyle y=h-\frac{gt^2}{2}[/tex]
(a)
The package dropped by the drone will land when it travels down all its initial height, thus the flight time must comply:
[tex]\displaystyle 0=h-\frac{gt_f^2}{2}[/tex]
Solving for [tex]t_f[/tex] :
[tex]\displaystyle t_f=\sqrt{\frac{2h}{g}}[/tex]
The data is: h=8.65 m, v_o=21.5 Km/h = 5.972 m/s
[tex]\displaystyle t_f=\sqrt{\frac{2(8.65)}{9.8}}=1.33\ sec[/tex]
Thus, the horizontal distance is
[tex]x=(5.972)*(1.33)=7.93\ m[/tex]
[tex]\boxed{x=7.93\ m}[/tex]
(b)
The horizontal speed at landing time is (constant)
[tex]v_x=5.972\ m/s[/tex]
The vertical speed is
[tex]v_y=(9.8)*(1.33)=13.024\ m/s[/tex]
The magnitude of the total speed is
[tex]v=\sqrt{v_x^2+v_y^2}[/tex]
[tex]v=\sqrt{(7.93)^2+(13.024)^2}=15.25\ m/s[/tex]
[tex]\boxed{v=15.25\ m/s}[/tex]
What is the momentum of a 25.1 g rifle bullet traveling with a velocity of 351 m/sec at a 45 degrees northeast
Answer:
Explanation:hehehee
Final answer:
The momentum of a 25.1 g rifle bullet traveling at 351 m/sec at a 45-degree northeast direction is 8.8101 kg·m/s, with equal components in the north and east directions.
Explanation:
The momentum of an object is given by the product of its mass and velocity. The momentum π of a bullet can be calculated using the formula π = mv, where m is the mass of the bullet (in kilograms) and v is its velocity (in meters per second). Since the mass is given in grams, you will need to convert it to kilograms by dividing by 1000, making 25.1 g equal to 0.0251 kg.
To calculate the momentum of the 25.1 g rifle bullet traveling at 351 m/sec at a 45 degrees direction, you multiply the mass (0.0251 kg) by the velocity (351 m/s) to get the resulting momentum. Since the question specifies a northeast direction, it implies a vector with equal components in the north and east directions.
Momentum calculation:
π = (0.0251 kg)(351 m/s) = 8.8101 kg·m/s
The momentum vector will have equal components of 8.8101/sqrt(2) kg·m/s in the north and east directions due to the 45-degree angle.
The __________ perspective focuses on measuring the amount of intelligence a person has by using intelligence tests. A. cognitive B. intelligence C. testing D. creative
The testing perspective centers on measuring intelligence with tests, specifically analytical intelligence when examining data trends. Creative is not one of Gardner's Multiple Intelligences, and IQ tests' validity is contested due to potential bias.
Explanation:The correct answer to the student's question is the testing perspective, which focuses on measuring the amount of intelligence a person has by using intelligence tests.
When examining data for trends, the type of intelligence primarily used is analytical intelligence. Analytical intelligence is the ability to analyze, evaluate, judge, or compare and contrast information.
Among Gardner's Multiple Intelligences, creative is not one of the identified categories; instead, Gardner's intelligences include modalities such as spatial, linguistic, and musical intelligences.
Intelligence can be a broad concept and varies from person to person. Practical intelligence, or street smarts, is related to real-world problem-solving and can be distinct from what traditional IQ tests measure. The IQ test attempts to measure intelligence but has been subject to debate regarding its validity and the scope of abilities it assesses.
Conflict theorists argue that IQ tests may be biased because they may not give children with learning disabilities a fair chance to demonstrate their true intelligence, thereby limiting the understanding of each individual's unique capabilities.
Final answer:
The testing perspective focuses on measuring intelligence with intelligence tests, specifically referred to as the 'testing' perspective. This falls under the study of cognitive psychology, which examines human thinking and the various aspects of intelligence, including analytical ability and the debate over the validity of IQ tests. So the correct option is C.
Explanation:
The testing perspective focuses on measuring the amount of intelligence a person has by using intelligence tests. The correct answer is C. Testing. This relates to the domain of psychology where the quantification of human intelligence is often conducted through various assessments that aim to gauge different abilities in the areas of problem-solving, reasoning, memory, and other cognitive functions.
When it comes to examining data to identify trends, the type of intelligence predominantly used is analytical intelligence. Analytical intelligence refers to the ability to analyze, evaluate, judge, compare, and contrast information. In Howard Gardner's Multiple Intelligences theory, creative intelligence, while important for some types of problem-solving and innovation, is not listed as one of Gardner’s Multiple Intelligences. His theory includes types of intelligence such as spatial, linguistic, and musical, among others.
Cognitive psychology is the branch that focuses on human thinking. Questions around what intelligence is, how it varies from person to person, and whether or not 'street smarts' are a kind of intelligence, all fall under the study of cognitive psychology. Intelligence Quotient (IQ) tests aim to measure intellectual capabilities, but their validity and the extent to which they truly capture an individual's varied intelligence is a topic of ongoing debate.
A car traveling at a constant speed travels 1000 feet in 12 seconds . In miles , how far will this car travel in 4 hours
The speed is the distance covered by an object at a particular time. The distance covered by the car in 4 hours will be 227.273 miles.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that a car traveling at a constant speed travels 1000 feet in 12 seconds. Therefore, we can write the distance and time as,
Distance = 100 feet = 1000/5280 miles
Time = 12 seconds = 12/3600 hours
Now, the speed of the car can be written as,
Speed = Distance / Time
= (1000/5280 miles) / (12/3600 hours)
= (1000×3600) / (5280×12) miles per hour
= 56.818 miles per hour
Further, the distance that can be traveled by car is,
Distance = Speed × Time
= 56.818 miles per hour × 4 hours
= 227.273 miles
Hence, the distance covered by the car in 4 hours will be 227.273 miles.
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what is the definition of zeroth laws??
Answer:
The zeroth law of thermodynamics states that if two thermodynamic systems are each in thermal equilibrium with a third one, then they are in thermal equilibrium with each other. Accordingly, thermal equilibrium between systems is a transitive relation.
a body whose mass is 40kg runs up a flight of 30steps,each 150mm high in 6 seconds.Find the average power developed
Answer:g=a=10m/s^2,
M=40kg,
S=150mm/1000=0.15m*30steps each=4.5m,
F=ma=40*10=400N
Power=W/t=F*s/t=F*V=1800/6 = 300W or 0.3kW
Explanation:
Why does carpet tend to produce differences in static electricity more that hardwood or tile floors
Carpet tends to produce differences in static electricity more than that of hardwood or tile floors because there's a release of negative charges which are called electrons to the person's body.
Static charge refers to the imbalance of electric charges that can be found on the surface of a material. When there's a contact between two surfaces, this creates a static electric charge.Also, it should be noted that a static charge is caused by friction. The reason why the charge is called static is due to the fact that the charges don't move or flow about but rather remain in one area.Carpet tends to produce differences in static electricity more than that of hardwood or tile floors because the rubbing helps in releasing negative charges which are called electrons.In such a case, when an individual shuffle their feet across a carpet, there will be a transfer of electrons unto the person and this then brings a static charge on the skin of the person.
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a 7.0kg bowling ball traveling at 2.0 m/s collides with a stationary 0.5 kg beach ball in an elastic collision. The bowling ball leaves the collision with a velocity of 1.5 m/s traveling in the same direction as the beach ball.
calculate the speed of the beach ball
Answer: The speed of the beach ball would be 2.0 m/s
Explanation:
Answer:
2.0 m/s
Explanation:
PLZ HELP!
Which is NOT an example of a longitudinal wave?
The 1st example is NOT a longitudinal wave
Explanation:
Waves are periodic disturbance of the space that travel carrying energy but not matter.
Depending on their vibration, waves are classified into two types:
Transverse waves: in transverse waves, the vibration of the wave occurs in a direction perpendicular to the direction of propagation of the wave. Examples of transverse waves are electromagnetic waves.Longitudinal waves: in longitudinal waves, the vibration of the wave occurs in a direction parallel to the direction of propagation of the wave (back and forth), creating regions of higher particle density (compressions) and lower particle density (rarefactions). Examples of longitudinal waves are sound waves.In this problem we have four options given:
The first picture represents a transverse wave, because the vibration of the robe is up and down, while the wave propagates on the left-right directionThe second picture represents a sound wave, which is a longitudinal waveThe 3rd picture represents a longitudinal wave, since the vibration of the slinky is back and forth along the direction of propagationThe 4th picture also represents a sound wave, which is longitudinalTherefore, the only wave which is not longitudinal is the one in the 1st picture.
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Longitudinal waves are those where the displacement of the medium is along the direction of the wave's propagation, such as sound waves. An example that does not fit into this category is light waves, which are transverse waves, having their oscillations perpendicular to the direction of the wave's movement.
Explanation:Longitudinal waves are waves in which the displacement of the medium is in the same direction, or opposite direction, to the direction of propagation of the wave. Examples are sound waves and seismic P-waves. However, an example of a wave that is not longitudinal would be light waves.
Light waves are transverse waves. This means that their oscillations are perpendicular to the direction of energy transfer. Unlike longitudinal waves, which contain compressions and rarefactions, transverse waves have peaks and troughs.
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charles law states that at a constant pressure , the volume of a given amount of gas is _____ to its absolute temperature.
CHARLES'S LAW
At a constant pressure, the volume of a given amount of gas is directly proportional to its absolute temperature.
Answer:
Directly propotional
Explanation:
Charles law states that volume of a fixed mass of a given is directly propotional to its absolute temperature
And
V∞ T
After missing an approaching ball, a baseball player applies a torque of 36.2 Nm To slow the bat from 3.5 rev/s to 0.25 rev/s in 0.21 seconds. What is the magnitude of the angular acceleration of the bat in rad/s²
PLZ HELP ME 4 MINS LEFT 50 POINTS AND BRAINLEIST
Many machines- including inclined planes such as ramps- increase the strength of the force put into the machine but decrease the distance over which the force is applied.
Answer:
Explanation:
Work is applying a force to move an object over a distance. ... Machines make work easier by changing the strength or direction of a force. ... But many everyday objects, such as rakes, bottle openers, and ramps, are machines too. ... A flat surface (plane) set at an angle (inclined); a simple machine used to reduce the force ...
Answer:
true
Explanation:
the millersburg ferry (m=13000.0 kg loaded) puts its engines in full reverse and stops in 65 seconds. if the speed before braking was 2.0 m/s, what was the braking force supplied by the propellers? solve using impulse and momentum.
The braking force is -400 N
Explanation:
We can solve this problem by using the impulse theorem, which states that the impulse applied on the ferry (the product of force and time) is equal to its change in momentum:
[tex]F \Delta t = m(v-u)[/tex]
where in this problem, we have:
F is the force applied by the brakes
[tex]\Delta t = 65 s[/tex] is the time interval
m = 13,000 kg is the mass of the ferry
u = 2.0 m/s is the initial velocity
v = 0 is the final velocity
And solving for F, we find the force applied by the brakes:
[tex]F=\frac{m(v-u)}{\Delta t}=\frac{(13000)(0-2.0)}{65}=-400 N[/tex]
where the negative sign indicates that the direction is backward.
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Need an explanation please. Brainliest will be awarded.
We're adding two vectors here. The first is 300 Newtons to the right, which we can write as (300, 0), meaning 300 to the right, 0 up.
The second is 300 at let's say a 45 degree angle down. For the components we have an isosceles right triangle with hypotenuse 300, so the components are both magnitude 300/√2 = 150√2. So we can write this vector (150√2, -150√2), the negative sign because it points down in the y direction.
Adding is componentwise. The resulting force is (300+150√2, -150√2).
That has square magnitude
r² = (300+150√2)² + (-150√2)² = 150² ( (2+√2)² + (√2)² )
= 150²( (6 + 4√2) + 2)
= 300²(2+√2)
so
r = 300 √(2+√2) Newtons
That's the answer; I'm not sure if your class expects a calculator approximation, which is 554.3 Newtons.
if two forces 3N and 20N acts on a body of mass 15kg, find the acceleration
True or False?
The long term dangers of a volcanic eruption are the ash that remains in the
atmosphere for years after the eruption which block the solar energy causing a
increase in global temperatures.
The correct answer is; False.
Further Explanation:
Ash does not remain in the atmosphere for years after an eruption. It only takes a few days or at the most a few weeks for all of the ash to leave the atmosphere. It has little impact on the climate or global temperatures.
When a volcano erupts there are three things that the volcano puts out, they are;
AshLavaSulfur dioxide (SO2)The one thing that does have an effect on the global temperatures of an eruption is the volcanic aerosols. These aerosols, when released, reflect the solar radiation back to space.
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suppose you have two toy cars. Each has a mass of 0.04 kg . the cars have tape on their bumpers that will cost them to couple together. One car is stopped on the track. The other car, traveling at a velocity of 4 m/s, hits the first car. What is the momentum of the coupled cars? Answer ASAP!
The momentum of the coupled cars is 0.16 kg m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two cars must be conserved before and after they couple together.
Mathematically, this can be written as
[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = p_f[/tex]
where:
[tex]m_1 = m_2 = 0.04 kg[/tex] is the mass of the two cars
[tex]u_1 =4 m/s[/tex] is the initial velocity of the first car
[tex]u_2=0[/tex] is the initial velocity of the second car, which is at rest
[tex]p_f[/tex] ithe momentum of the coupled cars, after the collision
By re-arranging the equation and substituting the values that we have, we find the final momentum:
[tex]p_f = m_1 u_1 + m_2 u_2 = (0.04)(4)+0=0.16 kg m/s[/tex]
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The momentum of the coupled toy cars after the collision is 0.16 kg·m/s.
In this problem, we are dealing with the conservation of momentum.
To find the momentum of the coupled cars, we first need to calculate the initial momentum of the moving car and then use the conservation of momentum principle to find the final momentum of the system.
Initial momentum of the moving car:
p = m * vwhere
m = 0.04 kg and v = 4 m/s.p = 0.04 kg * 4 m/s
p = 0.16 kg·m/s
Since the car is stationary, its initial momentum is 0 kg·m/s.
Add the momentum of both cars:
p(total_initial) = 0.16 kg·m/s + 0 kg·m/s p(total_initial) = 0.16 kg·m/sAfter collision, the cars couple together and move as a single object with a combined mass
Mt = 0.04 kg + 0.04 kg = 0.08 kg.Using the conservation of momentum principle, the total momentum before and after the collision remains the same. Thus:
p(total_initial)= 0.16 kg·m/sThe momentum of the coupled cars after the collision is 0.16 kg·m/s.
why most quantum unites endin with On suffix ?
Answer:
OK... lets go the mathematical terms of magic is science and that the world is round ,GOD created everything Jesus died for us on the cross ,the big bang theory is something scientist believe if you are a christian then you know that is a lie and if you are a REDNECK then fishing and hunting is life and REDNECK think city people SUCK BUTT that is life.
Explanation:
Quantum units in physics generally end with the suffix "on" because they are named after famous scientists who made significant contributions to the field.
Explanation:In quantum mechanics, many units end with the suffix "on" because they are named after famous scientists who made significant contributions to the field. For example, the unit "electron" is named after J.J. Thomson, the physicist who discovered the electron. Similarly, the unit "photon" is named after Albert Einstein, who proposed the concept of light particles.
By using these named units, scientists can refer to specific quantities and entities in a concise and standardized manner. It helps in clear communication and facilitates research in the field of quantum mechanics.
Some examples of units in quantum mechanics that end with "on" include electron, photon, neutron, positron, and graviton.
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the heart rate that indicates your fitness level is the
The heart rate that indicates your fitness level is the Resting Heart Rate.
Explanation:
The statement from Welch says that when we practise more and do an exercise harder, then the heart rate at rest would be low. This is the main reason for considering resting heart rates as a good indicator to one’s fitness level. The normal adult heart rate at rest is 60 to 100 bpm (beat per minute).
In general, a lower heart rate means a calmer heart rate and good heart health. For example, for a well-trained athlete, a normal heart rate can be closer to 40 bpm. Our resting rhythm, the measure of how often the heart beats every minute at rest.
BRAINLIST | Why are there some areas of the country where wind power is not the best option?
Answer:
In contrast, wind turbines produce no greenhouse gases when generating electricity. We should note that both noise and visual pollution are environmental disadvantages of wind turbines. However, these factors don't have a negative impact on the earth, water table or the quality of the air we breathe.
The distance versus time graph for Object A and Object B are shown.
A graph titles Distance vs Time. A straight slanting line is drawn through point 7 on the y-axis and this line is labeled Object A. The graph for Object B is a straight slanting line passing through the origin
What is the similarity between Object A and Object B?
Both have the same slope.
Both move with variable speed.
Both move with constant speed.
Both start the journey from the same point.
Answer:
Answer: Both move with constant speed.
Explanation:
Constant Speed Motion
When an object moves in such a way that it travels the same distances at the same times, we can say its speed is constant. For example, if it travels x=10 m in t=2 seconds and later it travels x=20 m in t=4 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is
x=v.t
Note that the relation between x and t is v, a constant value, thus the graph x-t is a line.
The question describes two graphs, for Object A and Object B respectively, and both of the descriptions correspond to lines. We don't have much information about the characteristics of the lines, but we can be sure, according to the definitions stated above, that both objects are traveling at a constant speed.
Answer: Both move with constant speed.
Answer:
C
Explanation:
Yes it is C
1. Stephanie Schneider is running down the street at 10 m/s. She sees a double-tall latte on
the road ahead of her and starts sprinting. After 5 seconds have passed, Stephanie is
running at 15 m/s. Assuming she does not change direction, what was Stephanie's
acceleration?
Stephanie's acceleration is 1 m/[tex]s^{2}[/tex].
Explanation:
In the present case, the initial velocity of the runner is given as 10 m/s. After 5 s, the runner runs with velocity of 15 m/s. If there is no change in direction, then the acceleration can be found easily as the change in velocity per unit time.
So, [tex]Acceleration = \frac{Change in velocity}{Time}=\frac{(Final velocity -Initial velocity)}{Time}[/tex]
[tex]Acceleration = \frac{15-10}{5}=\frac{5}{5}=1 m/s^{2}[/tex]
Thus, the acceleration will be 1 m/[tex]s^{2}[/tex].
So the change in velocity will lead to an acceleration of 1 m/[tex]s^{2}[/tex].
Answer:15m/s-10m/s over 5s
Explanation:its a fraction the 15m/s and 10m/s are over the 5s
In the following reaction, 24 g of CH4 react with 96 g of Oz to form 66 g of CO2
How many grams of H2O are formed? CH4 + 202 → CO2 + 2H2O
Answer:
54 g
Explanation:
Mass is conserved. Mass of reactants = mass of products.
24 g + 96 g = 66 g + x
x = 54 g
A police car is traveling at a speed of 50 meters per second when it suddenly accelerates at a rate of 5 m/s2. How fast will the car be going (final velocity) if it maintains that acceleration for 30 seconds
Using the equation v = u + at, the final velocity of the police car after maintaining an acceleration of 5 m/s^2 for 30 seconds is found to be 200 meters per second.
Explanation:To determine the final velocity of a police car that accelerates from a given speed, we can use the formula for final velocity, which is derived from the equations of motion under constant acceleration. The formula we will use is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
In this case, the initial velocity u is 50 meters per second, the acceleration a is 5 m/s2, and the time t is 30 seconds. Plugging these values into the formula:
v = 50 m/s + (5 m/s2 × 30 s)
Calculating this, we get:
v = 50 m/s + 150 m/s = 200 m/s
Therefore, the final velocity of the police car after maintaining the acceleration for 30 seconds will be 200 meters per second.
suppose a scientific team is trying to recreate the energy producing reactions that occur in the sun. what would they need for the experiments?
For energy producing reactions they need Hydrogen atoms, heat, and pressure for the experiments.
Explanation:
The initial step of the Hydrogen combination process: a core of Deuterium (2H) is shaped from two protons with the discharge of an antielectron and a neutrino. In the fundamental Hydrogen combination cycle, four Hydrogen cores (protons) meet up to make a Helium core.
An atomic combination response is characterized as the response wherein at least two lighter cores consolidate together to shape heavier cores with the arrival of high measures of vitality.
Combination can possibly give the sort of baseload vitality expected to give power to our urban communities and our enterprises. Maintainability: Fusion powers are generally accessible and almost limitless.
Can someone PLEASEEE help me?
Air is a substance which has the lowest density of about 1.225 kg / m^3.
Explanation:
The mass of a substance per volume describes the density. Larger molecules have more density and more mass. Hence the sound is transmitted slowly. Sound waves are made up of kinetic energy and for the vibration of large molecules, more energy is needed. In general, sound travels faster in liquids than in gases because density is inversely proportional to the speed of sound and the density of air is low.The speed of sound varies with temperature because a change in temperature affects material density. In the air, an increase in temperature increases the speed of sound.A 2 kg watermelon is dropped from a 4 m tall roof. How fast will the watermelon be moving as it strikes the ground below?
Answer:
8.85m/s
Explanation:
v=√2gh
v=√2×9.8×4
v=8.85m/s
The watermelon be moving as it strikes the ground below 8.85m/s.
Potential energy is the energy possessed by a body because of its position relative to other bodies.Gravitational potential energy is the energy held by a body when it is at some height relative to the zero potential level ground.The formula that is used to find the velocity in this case is:
[tex]v=\sqrt{2gh} \\\\v=\sqrt{2*9.8*4}\\\\v=8.85m/s[/tex]
Thus, the velocity will be 8.85 m/s.
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What are examples of a solution in solids, liquids, and gases
Answer:
Solid: metal alloy
Liquid: beer
Gas: Air
Explanation:
A solution is a type of mixture where the solvent and solute are homogeneously mixed. Homogeneous mixture means that the solute shouldn't be able to be seen with the naked eye, filtered and stable enough.
Metal alloy will be an example of a solution in solid-state. Beer is a solution made of liquid alcohol and liquid water. Air mostly composed of nitrogen, but it has oxygen, carbon dioxide, and many other substances in gaseous form.
The 3 states of mater are
Answer:
Solid
liquid
gas
Explanation:
A car with a mass of 1,000 kg moving with an initial velocity of 8 m/s is brought to rest by colliding with a truck. The collisions takes place over a time span of 0.2 s.Calculate the force exerted on the car
Answer:
-40,000 N
Explanation:
First, use the kinematics equation v(f) = v(i) + at. Final velocity is 0, initial is 8, and time is 0.2 seconds. Solving for a, you get -40 m/s^2. Then, use Newton’s second law, F=ma, to find the force. F = (1000)(-40) = -40,000 N.
Final answer:
The force exerted on a car with a mass of 1,000 kg, which is brought to rest from an initial velocity of 8 m/s over a time span of 0.2 s, is calculated to be 40,000 N in the direction opposite to the car's initial motion.
Explanation:
To calculate the force exerted on a 1,000 kg car that is brought to rest from an initial velocity of 8 m/s over a time span of 0.2 s, we can apply the concept of impulse and momentum. The impulse exerted on the car can be found using the formula:
Impulse = Change in Momentum = Force × Time
The change in momentum is equal to the final momentum minus the initial momentum. Since the car is brought to rest, its final momentum is 0, and the initial momentum is the product of the mass and the initial velocity. Therefore, we have:
Change in Momentum = 0 - (Mass × Initial Velocity)
Change in Momentum = 0 - (1,000 kg × 8 m/s)
Change in Momentum = -8,000 kg·m/s
The impulse exerted on the car is also the product of the force exerted and the time interval:
Force × Time = Change in Momentum
Force × 0.2 s = -8,000 kg·m/s
Force = -8,000 kg·m/s / 0.2 s
Force = -40,000 N
The negative sign indicates that the force is acting in the opposite direction of the car's initial motion. Therefore, the force exerted on the car is 40,000 N in the direction opposite to the car's initial motion.
For two objects with masses 100 kg and 500 kg to be 20 meters apart , find the gravity between them
Answer:
8,3375*10^-9 N
Explanation:
For two objects with masses of 100 kg and 500 kg to be 20 meters apart, the gravity between them would be 8.3375×10⁻⁹ Newtons.
What is gravitational force?The gravitational force is an unobservable force that draws things together. You remain on the ground thanks to Earth's gravity, a gravitational force is a force that also causes objects to fall.
F = G× m₁* m₂ / r ²
G is the gravitational constant which has a value of 6.67 ×10⁻¹¹.
As given in the problem, we have to find out the gravitational force between two objects with masses of 100 kg and 500 kg to be 20 meters apart,
F= 6.67×10⁻¹¹(100×500)/20²
F=8.3375×10⁻⁹ Newtons
Thus, the gravity between them would be 8.3375×10⁻⁹ Newtons.
Learn more about gravitational force from here
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