The law of conservation of momentum tells us that momentum is conserved, therefore total initial momentum should be equal to total final momentum. In this case, we can expressed this mathematically as:
mA vA + mB vB = m v
where, m is the mass in kg, v is the velocity in m/s
since m is the total mass, m = mA + mB, we can write the equation as:
mA vA + mB vB = (mA + mB) v
furthermore, car B was at a stop signal therefore vB = 0, hence
mA vA + 0 = (mA + mB) v
1800 (vA) = (1800 + 1500) (7.1 m/s)
vA = 13.02 m/s
What are the si units for length, mass, weight, volume, density, temperature, and time?
Which of the following describes what occurs when energy is transferred and work is being done on an object?
An activity that is relatively short in time (< 10 seconds) and has few repetitions predominately uses the _____________ energy system.
You slam on the brakes of your car in a panic, and skid a certain distance on a straight, level road. if you had been traveling twice as fast, what distance would the car have skidded, under the same conditions?
Answer:
If the speed would be doubled, the distance traveled by the vehicle will be FOUR times. It can be proved by 3rd equation of motion.
Explanation:
When the brakes are applied, frictional force acts on the tires which decreases the speed. Eventually the car will stop. This frictional force is nearly independent of the speed hence by applying 3rd equation of motion, we can find the distance traveled.
2aS = Vf²-Vi²
[tex]S=\frac{Vf^{2}-Vi^{2}}{2a}[/tex]
For Vf=0
S=-Vi²/2a
Vi-new = 2*Vi
S-new = -(Vi-new)²/2a
S-new = -(2*Vi)²/2a
S-new = -4Vi²/2a
S-new = 4.S
Here
Vf= Final Velocity i.e. 0m/s²
Vi= Initial Velocity
a= Deceleration (Negative Acceleration)
S= Distance covered by vehicle
Explain why the extrapolated temperature is used to determine the maximun temperature of the mixture rather than the highest recorded temperature
The extrapolated temperature is used to determine the maximum temperature of the mixture because it provides a more accurate estimate. The highest recorded temperature may not necessarily represent the maximum temperature due to outliers or external factors. Extrapolation allows us to estimate the maximum temperature based on the trend in the data.
Explanation:The extrapolated temperature is used to determine the maximum temperature of the mixture rather than the highest recorded temperature because it provides a more accurate estimate. Extrapolation involves extending a trend or pattern in data beyond the existing range, based on mathematical calculations. This allows us to estimate the maximum temperature that the mixture would reach if the trend continued.
On the other hand, the highest recorded temperature may not necessarily represent the maximum temperature the mixture can achieve. It could be an outlier or affected by external factors such as experimental errors or limitations of the measuring instrument. Therefore, relying solely on the highest recorded temperature may lead to inaccurate conclusions.
For example, let's say we have a mixture that is being heated and we measure its temperature at regular intervals. The recorded temperatures show a steady increase, but eventually, the rate of increase slows down. By extrapolating the trend, we can estimate the maximum temperature the mixture would reach if the heating process continued.
Learn more about extrapolated temperature here:https://brainly.com/question/32932434
#SPJ12
Extrapolated temperature is used to determine the maximum temperature of a mixture because it accurately takes into account the broad distribution of molecular speeds that emerges when masses of different temperatures are mixed. It offers a more accurate representation of the maximum temperature.
Explanation:The reason the extrapolated temperature is used to determine the maximum temperature of the mixture, rather than the highest recorded temperature, is largely because of the way temperature distributions work. For instance, when two masses of different temperatures are mixed, the mixture is less orderly and less structured. This results in a broad distribution of molecular speeds, the average of which yields an intermediate temperature that is not necessarily the highest possible temperature. This concept can be best illustrated with blackbody curves showing the distributions of wavelengths at different temperatures. The
extrapolated temperature
takes this broad distribution into account, hence, offering a more accurate representation of the maximum temperature. With this in mind, it's clear that the extrapolated temperature provides the most accurate measurement when determining the highest temperature of a mixture.
Learn more about Extrapolated temperature here:https://brainly.com/question/32932434
#SPJ11
what term is defined as the amount of charge stored per volt?
Explanation:
Capacitance of a capacitor is defined as the amount of charge stored per unit voltage. Capacitor is a device that is used to store electric charge. Its mathematical term is given by :
[tex]C=\dfrac{Q}{V}[/tex]
Q is the amount of charge
V is the voltage or potential difference
Its SI unit is farad. It consist of two conducting plates that are separated by an insulating material. If A is the cross sectional area of each of the plates that are separated by a distance d. Then capacitance is given by :
[tex]C=\dfrac{A\epsilon_o}{d}[/tex]
[tex]\epsilon_o[/tex] is the permittivity of the free space
Scientists have observed that space is expanding between galaxies.
True or False
Slow-moving vehicles are prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than ______and should use the ______ lane of travel on divided highways.
Slow-moving vehicles should not travel on expressways or roads with a speed limit greater than 45 mph and they should utilize the rightmost lane on divided highways.
Explanation:Slow-moving vehicles are generally prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than 45 miles per hour. This ensures safety as slow-moving vehicles can create dangerous situations if the flow of traffic is substantially faster. On divided highways, there is typically more than one lane for each direction of travel. Slow-moving vehicles are advised to use the rightmost lane, often referred to as the slow lane. This is because the left lane is usually reserved for faster vehicles and passing. Drivers in right lanes at slower speeds have an easier time allowing faster vehicles, which generally use left lanes, to pass safely.
Learn more about Driving Rules here:https://brainly.com/question/30763606
#SPJ5
A car travels a distance of 45 mi with a speed of 60 mph how long did it take ?
To calculate time it takes the car to travel 45 miles at a speed of 60 mph, you use the formula time = distance/speed. When you plug in the values, you get 0.75 hours or 45 min.
Explanation:To calculate the time it takes for a car to travel a certain distance at a specific speed, we use the formula time = distance/speed. Here, the distance is 45 miles and the speed is 60 mph. So it's time = distance/speed = 45 miles / 60 mph = 0.75 hours. Therefore, the car takes 0.75 hours or 45 min to travel 45 miles at a speed of 60 mph.
Learn more about Time Calculation here:https://brainly.com/question/33260049
#SPJ12
While a utility patent protects the way an invention is used and works, a ___ patent protects the way it looks?
Connelly cuts a solid object in half. What happens to the mass, volume, and density of the object that Connelly cuts? A)The mass and volume are both divided by two, and the density is divided by four. B) The volume is divided by two, but the mass and density do not change. C) The physical properties of the substance change, and all three properties must be re-measured. D) The mass and volume are both divided by two, but the density remains the same.
Final answer:
When an object is cut in half, its mass and volume are divided by two, but its density remains constant because both mass and volume change proportionately.
Explanation:
When Connelly cuts a solid object in half, both the mass and volume are divided by two. However, density, which is defined as the mass of an object divided by its volume, remains unchanged. This is because both the mass and volume change proportionately, which means the ratio of mass to volume (density) does not alter.
Therefore, the correct answer to what happens to the mass, volume, and density of the object that Connelly cuts is: D) The mass and volume are both divided by two, but the density remains the same.
High-altitude clouds composed of ice crystals are called ____ clouds.
Charlie throws a ball up into the air. While the ball is airborne, which is the greatest force acting on the ball to slow it down? applied force friction force gravitational force normal force
Answer:
Gravitational force
Explanation:
When ball is thrown upwards then there will be two forces on the ball opposite to the motion of ball
1. Gravitational force (mg)
2. Air friction or air drag
Both forces are opposite to the motion of the ball and it will cause the decrease in the speed of the ball.
Now here due to less value of drag coefficient on the ball we will say that ball will decrease its speed more due to gravitational force compare to friction force of air.
so here correct answer would be
Gravitational force
a person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 18 m/s. The cliff is 52 m above the water's surface. With what speed did it strike the water?
Answer:
Speed with which it strike the water = 36.66 m/s
Explanation:
Horizontal component of velocity = 18 m/s
We need to find vertical component of velocity.
Considering vertical motion of stone
Initial velocity, u = 0 m/s
Acceleration , a = 9.81 m/s²
Displacement, s = 52 m
We have equation of motion v² = u² + 2as
Substituting
v² = u² + 2as
v² = 0² + 2 x 9.81 x 52
v = 31.94 m/s
Vertical component of velocity = 31.94 m/s
[tex]\texttt{Total velocity = }\\\\\sqrt{\texttt{Horizontal component of velocity}^2+\texttt{Vertical component of velocity}^2}\\\\\texttt{Total velocity = }\sqrt{18^2+31.94^2}=36.66m/s[/tex]
Speed with which it strike the water = 36.66 m/s
If a person standing at the edge of a seaside cliff kicks a stone over the edge, the speed with which the stone strike the water is 36.65 m/s.
Given the following data:
Initial horizontal velocity = 18 m/s (since the stone was kicked over the edge).Vertical displacement = 52 metersInitial vertical velocity = 0 m/sWe know that acceleration due to gravity (a) is equal to 9.8 meter per seconds square.
First of all, we would determine the vertical component of the velocity by using the third equation of motion;
[tex]V^2 = U^2 + 2aS[/tex]
Where:
V is the final speed. U is the initial speed. a is the acceleration. S is the displacement.Substituting the given parameters into the formula, we have;
[tex]V^2 = 0^2 + 2(9.8)(52)\\\\V^2 = 0 + 1038.2\\\\V = \sqrt{1019.2}[/tex]
Vertical component of velocity = 31.92 m/s
To find the speed with which the stone strike the water, we would calculate the resultant speed by doing a vector addition of the horizontal component of the velocity and the vertical component of the velocity;
[tex]Speed = \sqrt{H^2 + V^2} \\\\Speed = \sqrt{18^2 + 31.92^2}\\\\Speed = \sqrt{324 + 1019.2}\\\\Speed = \sqrt{1343.2}[/tex]
Speed = 36.65 m/s
Read more: https://brainly.com/question/8898885
A car slows down at -5.00 m/s^2 until it comes to a stop after travelling 15.0 m. How much time did it take to stop?
The time it took for the car to stop, given an acceleration of -5.00 m/s^2 and a distance of 15.0 m, is approximately 2.45 seconds.
Explanation:The subject of this question is physics, more specifically the concept of acceleration. Given the car's acceleration is -5.00 m/s^2 (negative because it is slowing down) and it traveled a distance of 15.0 m, we can use the equation of motion to find the time it took for the car to stop. The equation that suits this situation best is d = ut + 0.5at^2. In this case, the initial velocity (u) is what we need to find first.
Assuming that the acceleration was constant, we can apply the third equation of motion:
v^2 = u^2 + 2as
We have v (final velocity) = 0 m/s (since the car stops), a = -5.00 m/s^2, and s = 15.0 m. Solving this equation for u (initial velocity) gives u = sqrt(v^2 - 2as) = sqrt(0 - 2 * -5 * 15) = sqrt(150) = ~12.25 m/s. Using this initial velocity value, we can now find the time it took for the car to stop using the first equation of motion (v = u + at). We know v = 0, u = ~12.25 m/s, and a = -5.00 m/s^2. Solving this for time (t), we have t = (v - u) / a = (0 - 12.25) / -5 = ~2.45 seconds.
Learn more about Acceleration here:https://brainly.com/question/2303856
#SPJ3
What is the magnitude of the relativistic momentum of a proton with a relativistic total energy of 2.7 3 10210 j?
The equation that is applicable to this problem is expressed as
p = γmu
where p is the relativistic momentum, m is equal to the proton mass and u is the speed of proton. γ is equal to 1/√(1 - u²/c²) where c is the speed of light.
Another equation to determine p fully is to use this relativistic equation:
E = γmc²
where E is the total kinetic energy including the gamma energy.
We are given with E = 2.7 × 10^(-10) J and from a proton’s data, mc^2 = 938.27201 MeV. Using the conversion from MeV to J which is 1 eV = 1.60218 * 10^(-19) J, we compute for γ
γ=E/mc^2 =2.7 × 10^(-10) J / 938.27201x10^6 eV *(1.60218 * 10^(-19) J/eV) = 1.80
we use this number to determine u from the second equation γ = 1/√(1 - u²/c²)
we square both sides and cross multiply, resulting to
γ² (1 - u²/c²) = 1
u²/c² = (γ² -1)/γ²
u = c/y sq rt of (γ² -1)
u = 0.83
Substituting eventually to the first equation, we get
p = γmu
p = 1.80 * 1.67262 * 10^(-27) kg * 0.83 * 2.99792 * 10^8 m/s
p = 7.481 * 10^(-19) kg.m/s
What is the magnitude of the resultant force, in newtons, acting on an object that has two forces acting in the same direction having magnitudes of 15 newtons and 25 newtons and a third force acting perpendicular to the first two having a magnitude of 30 newtons?
Imagining that the forces form a right triangle (since the 3rd force is acting perpendicularly) then the resultant force can simply be calculated using the hypotenuse formula:
c^2 = a^2 + b^2
Where a and b is equivalent to:
a = 15 N + 25 N = 40 N
b = 30 N
Therefore the resultant force is then calculated:
c^2 = (40 N)^2 + (30 N)^2
c^2 = 1,600 + 900
c^2 = 2,500
c = 50 N
Answer:
To find the magnitude of the resultant force, we can use the Pythagorean theorem and the trigonometric ratios.
First, we need to find the horizontal and vertical components of the two forces acting in the same direction:
Horizontal component = 15 N + 25 N = 40 N
Vertical component = 0 N (since the forces are in the same direction)
Next, we need to find the horizontal and vertical components of the third force acting perpendicular to the first two:
Horizontal component = 0 N (since the force is perpendicular to the other forces)
Vertical component = 30 N
Now, we can find the horizontal and vertical components of the resultant force:
Horizontal component = 40 N + 0 N = 40 N
Vertical component = 0 N + 30 N = 30 N
Using the Pythagorean theorem, we can find the magnitude of the resultant force:
Resultant force = sqrt((40 N)^2 + (30 N)^2)
Resultant force = sqrt(1600 N^2 + 900 N^2)
Resultant force = sqrt(2500 N^2)
Resultant force = 50 N
Therefore, the magnitude of the resultant force is 50 newtons.
Which are descriptions of gravity on Earth? Check all that apply.
an attractive force
a repulsive force
a noncontact force
a contact force
a horizontal force
a vertical force
The gravity is described by an attractive force, non-contact force and vertical force. Thus, options (a), (c) and (f) are correct.
The gravity is an attractive force that acts between the objects or particles kept on the of Earth and the Earth itself. The force is proportional to the product of masses of particles/objects and Earth. Since, the earth carry more mass, therefore, all objects are attracted towards the centre of Earth.
Gravity is an attractive force, where all the matters of Earth are attracted towards the Earth.Gravity cannot be repulsive on Earth, because earth is very heavy comparing to objects in the Earth. Thus, the repulsive force does not describe the gravity.Gravity do need the exact contact between the Earth surface and object. For example: A ball thrown in air is pulled towards the Earth due to gravity. Thus, gravitational force or gravity is a non-contact force.As discussed above, the gravitational force is non-contact force, therefore it cannot be contact force.Gravitational force or gravity always has its influence towards the downward direction rather than horizontal direction. Therefore, the horizontal force does not describe the gravity.As per above discussion, the gravity has downward influence. Therefore, it is a vertical force.Thus, we can conclude that gravity is described by an attractive force, non-contact force and vertical force.
Learn more about the gravity here:
https://brainly.com/question/21454806
Answer:
(a) Attractive Force.
(c) Non-contact force.
(f) A vertical force.
When riding your dirt bike you run into a tree which causes your bike to immediately come to a stop. You fly over the handle bars and land a few feet away on the ground. Which law of motion is being described in this scenario?
A.Law of Universal Gravitation
B.Newton's Second Law of Motion
C.Law of Conservation of Energy
D.Newton's First Law of Motion
Answer:
D). Newton's First Law of Motion
Explanation:
This is the explanation of Newton's First law or Law of inertia.
As per this law if there is no unbalanced force on a system then they system will always maintain its state of motion.
Or in other words we can say that if there is no force then the object will always maintain its state of motion i.e. if object is in motion then it will continue in motion and if object is in rest then it will continue at rest
So here when bike immediately stops then due to this law our body will continue its state and move off from the bike and fly away on the ground at some distance away.
So here correct answer will be
D). Newton's First Law of Motion
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total distance and total displacement of the boat?
The answer will be c the total distance is 105
Suggest reasons why poaching for subsistence is likely to be less damaging to the biodiversity of an area than poaching for profit
A star is located 12.5 parsecs away from us. What is its parallax angle? D = 1/p
Answer:
The parallax angle is 0.08 seconds of arc.Explanation:
In the image attached you can observe where is the parallax angle placed.
Now, this parallax angle is inversely proportional to the distance measured in parsecs. That means, the greater the distance, the smaller the parallax angle.
Mathematically, it's defined as
[tex]D=\frac{1}{p}[/tex]
Where [tex]D=12.5 pc[/tex], replacing this value, we have
[tex]D=\frac{1}{p}\\p=\frac{1}{D}=\frac{1}{12.5 pc} =0.08''[/tex]
Therefore, the parallax angle is 0.08 seconds of arc.
If a catcher catches a 0.5 kg baseball moving at 17.1 m/s in his glove, what is the average force in newtons on the glove during the catch if it takes 0.1 seconds to stop the ball?
The average force on the glove during the catch of a baseball with an initial velocity of 17.1 m/s and a mass of 0.5 kg, brought to rest in 0.1 seconds, can be calculated using the impulse-momentum theorem, resulting in an average force of 85.5 newtons.
The question involves the concept of impulse and the physics of motion. In physics, impulse is equal to the change in momentum of an object when a force is applied over a duration of time. The formula to calculate the impulse J is J = Ft, where F is the average force and t is the time period the force is applied. The change in momentum can also be written as m[tex](v_f - v_i)[/tex], where m is the mass, [tex]v_f[/tex] is the final velocity, and [tex]v_i[/tex]is the initial velocity. In this scenario, the baseball's initial velocity is 17.1 m/s, the mass of the baseball is 0.5 kg, and it is brought to rest (final velocity 0 m/s) in 0.1 seconds, resulting in a change in velocity of -17.1 m/s.
Using the impulse-momentum theorem, we can calculate the average force on the glove during the catch by rearranging the impulse formula to solve for the average force F. The calculation would thus be:
F = m * ([tex]v_f - v_i[/tex]) / t
F = 0.5 kg * (-17.1 m/s - 0 m/s) / 0.1 s
F = -85.5 N (The negative sign indicates that the force is in the opposite direction of the ball's initial motion, i.e., it is a decelerating force.)
Therefore, the average force on the glove is 85.5 newtons.
The specific gravity of a product can be found on the material safety data sheet. how do you know if a product will sink in water?
Make the curvature radius 0.6 m, the refractive index 1.5, and the diameter 0.6 m. place the lamp so that the source of light is 120 cm from the middle of the lens (use the ruler). the focal length of the lens is ____________, and the focal plane is ___________ from the lens.
To find the focal length of the lens, the Lens Maker's Equation can be used. With the given information, we can calculate the focal length to be approximately 1.2 m. The focal plane is also located at a distance equal to the focal length of the lens.
Explanation:To calculate the focal length of a lens, we can use the Lens Maker's Equation. The equation is given by:
1/f = (n - 1) * (1/R₁ - 1/R₂)
where f is the focal length, n is the refractive index, R₁ is the radius of curvature of the first surface, and R₂ is the radius of curvature of the second surface. In this case, the lens is plano-convex, which means one surface is flat and the other is curved. Let's assume the flat surface is the first surface and has a radius of curvature of infinity. The second surface has a radius of curvature of -0.6 m. With a refractive index of 1.5, we can plug in these values into the equation to find the focal length:
1/f = (1.5 - 1) * (1/infinity - 1/-0.6)
Since the radius of curvature of the first surface is infinity, the first term becomes zero. Simplifying the equation further, we get:
1/f = (1.5 - 1) * (0 + 1.67)
1/f = 0.5 * 1.67
1/f = 0.835
Solving for f, we find:
f = 1/0.835
f ≈ 1.2 m
The focal plane is located at a distance equal to the focal length of the lens. Therefore, the focal plane is approximately 1.2 m from the lens.
2. A 14.8-kg child sits in a 1.30-kg swing. You pull the swing back, lifting it 52.1 cm vertically, and then let go. Determine the speed of the child and swing as the swing moves past its lowest point.
To answer this problem, we have to define the two energies, Potential and Kinetic Energy.
Initially when the child is at rest at 52.1 cm, the potential energy PE is at its highest.
PE = m g h
Where,
m = total mass = 14.8 kg + 1.30 kg = 16.10 kg
g = gravitational acceleration = 9.8 m /s^2
h = height = 52.1 cm = 0.521 m
Computing for PE:
PE = 16.10 * 9.8 * 0.521
PE = 82.29 N
As the swing moves past its lowest point h = 0, then all PE is converted to Kinetic Energy KE. Therefore, at lowest point
KE = 82.29
KE = 0.5 m v^2
0.5 (16.10) v^2 = 82.29
v = 3.20 m/s
To prevent accidental electric shock, most electrical equipment is A. painted. B. isolated. C. coated. D. grounded.
Answer:
Grounded
Explanation:
Three wires are use while wiring and even in appliances. They are live, neutral and earthing wire.
Grounding or earthing is the process through which we safeguard us from electric shock.
The earthing wire is directly connected to a box buried in ground at certain level So any kind of leakage current that can cause shock will directly pass to the ground making equipment and humans safe.
Operators must slow to no wake speed when within what distance of a u.s. naval vessel?
Answer:
500 Yards or 457.2 Meters
Explanation:
The waves created behind a boat because of its movement in the water is called as "Wake". More the speed of the vessel, more severe is the wake.The speed at which the boat will be able to move and navigate but will not be creating wake is known as "Slow - No Wake" speed. As per Homeland Security restrictions, any vessel must slow down to "slow-no wake" within 500 yards of any US Naval Vessel.
When you come within 100 ft of the uncontrolled railroad crossing and you cannot see the tracks for 400 ft in both directions, the speed limit is ____ mph?
The speed limit most typically enforced at uncontrolled railroad crossings in the U.S when visibility of 400 feet in both directions isn't available is 15 mph. This may change according to specific state regulations so drivers must be aware of local laws regarding this.
Explanation:The subject of this question lies within traffic law, more specifically related to railway crossing safety. Traffic regulations often mandate certain behaviors in the interest of maintaining safety, particularly around railway crossings. Although the question does not provide a specific speed limit, given context, I can tell you most states in the U.S stipulate that when motorists are unable to see 400 feet in both directions at an uncontrolled railroad crossing, they should reduce their speed to 15 mph.
However, these laws may vary by region, it is crucial that drivers familiarize themselves with local traffic regulations, always obey posted limits, and show prudence while approaching a railroad crossing.
Learn more about Traffic Law here:https://brainly.com/question/36497352
#SPJ6
Which of these statements is true? controlled data produces valid experiments. controlled experiments produce valid data. valid experiments produce controlled data?
Each of the choices may be considered right depending on the use of context or on how terms are defined, but the one that is most correct is:
"Controlled experiments produce valid data"
Controlled experiments are experiments in which factors which are not the interest of the study or which are not being studied are controlled or accounted for in the design, so that resulting data are less likely to be caused by some anomaly or by some variable other than those being studied. In usual research scenarios it is not the data itself that is acted upon in the experiment - it is the experiment itself, the factors and the physical processes that will eventually yield data.
The truthful statement is 'controlled experiments produce valid data'. This is because in controlled experiments, only a single variable is adjusted, allowing scientists to directly observe the effects, producing valid, reliable data.
Explanation:Out of these options, the statement: 'controlled experiments produce valid data' is accurate. In a controlled experiment, researchers only change one variable at a time while keeping all other variables constant, which helps in isolating the effects of the one variable that is manipulated and facilitates the collection of valid data. Proper experimental design involves both control and experimental groups, with the only difference being whether participants are exposed to the experimental manipulation. With correct procedures and considered analysis, significant and valid data can be produced.
Learn more about Valid Data here:https://brainly.com/question/37462750
#SPJ12