Answer:
significant
Explanation:
The digits in a measurement that are considered significant are all of those digits that represent marked calibrations on the measuring device plus one additional digit to represent the estimated digit (tenths of the smallest calibration).
Which is true about scientific theories?
Group of answer choices
They are the result of a single experiment.
They are proposed by scientists who wish to investigate a new topic.
They are only based on the most recent evidence.
They are the results of many experiments over a long period of time.
Scientific theories are the results of many experiments over a long period of time.
Scientific theories are explanations that have been developed through extensive experimentation and observation over a period of time. They are supported by a large body of evidence from multiple sources and have been subjected to rigorous testing and scrutiny by the scientific community. Scientific theories are not based on a single experiment but rather on a vast accumulation of knowledge and data. They provide a framework for understanding the natural world and can help predict future observations and experiments. Scientific theories are also subject to change or revision if new evidence is discovered that contradicts or expands upon the existing theory. The development of scientific theories is a collaborative effort among scientists from different disciplines, and the peer-review process is used to ensure that scientific theories are reliable and accurate representations of reality. Scientific theories have been used to make significant advancements in fields such as medicine, engineering, and physics, and they continue to play a critical role in advancing our understanding of the world.
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as one tectonic plate slides under another , a string of volcanoes called a "volcanic arc" often results. Diorite is formed as magma at a volcanic arc cools beneath earths surface.
what type of rock is diorite
A.metamorphic
B.extrusive igneous
C.sedimentary
D.instrusive igneous
Answer:
D. instrusive igneous
Explanation:
Answer: it’s intrusive igneous
Explanation:
I got it right.
How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
Calculate the period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m
Answer: The period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.
Explanation:
Given: Mass = 5 kg
Spring constant = 6 N/m
Formula used to calculate period is as follows.
\(T = 2 \pi \sqrt\frac{m}{k}\)
where,
T = period
m = mass
k = spring constant
Substitute the values into above formula as follows.
\(T = 2 \pi \sqrt\frac{m}{k}\\= 2 \times 3.14 \times \sqrt\frac{5}{6}\\= 5.73 s\)
Thus, we can conclude that the period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.
A system consists of two uncharged metal spheres, each suspended on an insulating string and connected to the other by a thin
conducting wire. A positively charged rod is brought near, but does not touch, the left sphere, and the sphere is attracted to the rod. Which
of the following is correct about the net charge on the right sphere as a result?
The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.
Electrostatic attractionSince the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.
The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.
According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.
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A bar having a length of 5 in. and cross-sectional area of0.7 m' is subjected to an axial force of 8000N. If the bar stretches 0.002m., determine the modulus of elasticity of the material. The material has linear- elastic behavior.
Answer:
Explanation:
he modulus of elasticity (E) can be calculated using the formula:Stress = Force / AreaStrain = Change in length / Initial lengthModulus of Elasticity (E) = Stress / StrainWe have the Force = 8000 N, Area = 0.7 m^2, Change in length = 0.002 m and initial length = 5 in = 0.127 mStress = Force / Area = 8000 N / 0.7 m^2 = 11428.57 N/m^2Strain = Change in length / Initial length = 0.002 m / 0.127 m = 0.0157Modulus of elasticity (E) = Stress / Strain = 11428.57 N/m^2 / 0.0157 = 727,279.9 N/m^2So the modulus of elasticity for the material of the bar is 727,279.9 N/m^2This is the ratio of the applied stress to the corresponding strain within the elastic limit, which is a measure of a material's resistance to deformation.
Lia lives in the mountains of Colorado. Her aunt came to visit and had a difficulty breathing for a few days until she adjusted to the higher altitude. Which explanation best describes the reason for this difficulty
There is decreased pressure on the air molecules as one moves higher and the air is thinner
What happens at high altitude?We know that the air pressure decreases with height. This implies that the air is thinner as you move up to higher altitude. This is the idea behind the use of the phrase; "Thin air".
Now, owing to the fact that there is decreased pressure on the air molecules as one moves higher and the air is thinner, it is much harder to breath until her aunt adjusts to the higher altitude.
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A circuit consists of a resistance R, and an inductance L in parallel connected, which is in series with a second resistance R2. This system is applied a voltage of angular frequency w. Find the total impedance.
Answer:
The impedance of the inductor is ω L:
This is in parallel wth R giving a resistance of the parallel combination:
1 / Rp = 1 / ω L + 1 / R
Rp = (ω L * R) / (ω L + R) for the impedance of the parallel combination
Total resistance (impedance) Rt = Rp + R2 = Z
One can use the term impedance to show that the resulting current is not in phase with the resulting voltage
phase angle φ - cos φ = ω L / Rt
V = I Z shows the relation of voltage and urrent
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***
With steps pls so I can
understand
The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.
Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.
The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.
What is resistance?The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().
Here,
r=2.5 ohm
V= 6.2 volts
P=4.5 watt
P=V²/R
R=V²/P
R=6.2*6.2/4.5
R=8.54 ohm that is about 9 ohm.
I=V/R
I=0.726 A
EMF=V+Ir
=6.2+0.726*2.5
=6.20+1.81
=8.01 volts
The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.
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Pls help!!
1 example of a conductor and 1 example of a insulator in your EVERYDAY world.
Answer:
here
Explanation:
Examples of insulators include plastics, Styrofoam, paper, rubber, glass and dry air.
Examples of conductors include metals, aqueous solutions of salts
As part of a movie stunt, a full-size remote-controlled car is driven horizontally off a 9.00 m tall cliff at 24.40 m/s. How far (Δx) from the bottom of the cliff does the car land?
Explanation:
Find the time it takes to hit the bottom....then multiply this time by the horizontal velocity .......
Time to hit bottom :
d = 1/2 at^2
9 m = 1/2 (9.81 m/s^2) (t^2) shows t = 1.35 s
Now the horizontal displacement is
x = rate * time = 24.40 m/s * 1.35 s = 33.1 m
How may the launch angle affect the range of a projectile motion ?
Answer:
To explain it we will use the following figure
Then, if a projectile is launched with the same velocity, the greatest range will be reached when the launch angle is 45° and for angles that sum 90°, the range will be the same. So, the launch angle affect the range of the projectile motion, when it is closer to 45°, the range will be maximum.
An axe used to split wood is driven into a piece of wood for an input distance of 0.05m. If the mechanical
advantage of the axe is 0.85, how far apart (output distance) is the wood split?
why in five glass is not give a vinegar
While certain types of glass containers may be suitable for short-term storage of vinegar, it is generally recommended to use non-reactive materials, such as plastic or stainless steel, for long-term storage to avoid any potential chemical reactions or corrosion.
Vinegar is an acidic liquid that contains acetic acid. When vinegar comes into contact with certain types of glass, particularly those made of lead or other reactive materials, a chemical reaction can occur. This reaction can lead to the leaching of potentially harmful substances into the vinegar.
Glass containers made from specific types of glass, such as soda-lime glass, are generally safe for storing vinegar.
However, it is important to note that prolonged storage or exposure to vinegar can still cause the glass to corrode over time. This can result in the deterioration of the glass container, potentially leading to breakage or the release of glass fragments.
To avoid any potential issues, it is recommended to use containers made of non-reactive materials, such as food-grade plastic or stainless steel, for long-term storage of vinegar. These materials do not react with the acidic nature of vinegar and do not pose a risk of leaching harmful substances.
Additionally, it is important to store vinegar in a cool, dark place to maintain its quality and prevent spoilage. Exposure to light and heat can degrade the quality of vinegar over time.
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A cannonball is fired horizontally from a 10 m high cliff at 20 m/s. How long will the cannonball be in the air? How far away will the cannonball strike the ground?
Answe ¡Buenos días! –
#3 ¡Buenas tardes! –
#4 ¡Bienvenid
The two different types of equilibrium discussed in the video are
1. Static equilibrium and dynamic equilibrium
2. Potential equilibrium and kinetic equilibrium
3. Dynamic equilibrium and kinematic equilibrium
4. Kinetic equilibrium and static equilibrium
The two different types of equilibrium discussed in the video are
1. Static equilibrium and dynamic equilibrium
What are Static equilibrium and dynamic equilibriumStatic equilibrium refers to a state where an object is at rest and the net force acting on it is zero. In other words, the forces acting on the object are balanced, so there is no acceleration. For example, a book lying on a table is in static equilibrium, as the gravitational force pulling it down is balanced by the force of the table pushing it up.
On the other hand, dynamic equilibrium refers to a state where an object is moving with a constant velocity, which means that its acceleration is zero. In this case, the net force acting on the object is also zero, but unlike static equilibrium, the object is in motion. For example, a car driving at a constant speed on a straight road is in dynamic equilibrium.
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If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin
The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.
1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).
2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.
3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.
4. However, the given equation does not explicitly mention resistance.
5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).
6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.
7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).
8. Therefore, V = VR + VL.
9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.
10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.
The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.
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Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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The initial velocity of a car moving along a straight path was 0 meters/second. After 10 seconds, it reached a velocity of 25 meters/second. Calculate the car’s average acceleration during this time period.
Answer:
The answer is 2.5 m/s^2.
Explanation:
Average acceleration is (final velocity - Initial velocity) ÷ time.
PLEASE HELP ME I DONT UNDERSTAND THIS AND THIS IS TIMED
In an experiment, a rubber stopper is attached to one end of a string. The stopper is whirled in a horizontal circular path of a diameter of 1.0 meter at a constant speed. The stopper completes one revolution in 0.2 seconds. Approximately what is the magnitude of the stoppers speed?
A) 3.1 m/s
B) 6.3 m/s
C) 16 m/s
D) 31 m/s
(C)
Explanation:
The circle has a radius r = 0.5 m, which means that its circumference C is
\(C = 2\pi r = 2\pi(0.5\:\text{m}) = 3.14\:\text{m}\)
One revolution means that the stopper travels a distance equal to the circumference of the circle so the velocity of the stopper is
\(v = \dfrac{C}{t} =\dfrac{3.14\:\text{m}}{0.2\:\text{s}} = 15.7\:\text{m/s} \approx 16\:\text{m/s}\)
The pendulum consists of two slender rods AB and OC which have a mass of 3 kg/m. The thin plate has a mass of 12 kg/m2 . a) Determine the location ӯ of the center of mass G of the pendulum, then calculate the mass moment of inertia of the pendulum about z axis passing through G. b) Calculate the mass moment of inertia about z axis passing the rotation center O.
Answer:
The answer is below
Explanation:
a) The location ӯ of the center of mass G of the pendulum is given as:
\(y=\frac{0+(\pi*(0.3\ m) ^2*12kg/m^2*1.8\ m-\pi*(0.1\ m) ^2*12kg/m^2*1.8\ m)+0.75\ m*1.5\ m *3\ kg/m}{(\pi*(0.3\ m) ^2*12kg/m^2-\pi*(0.1\ m) ^2*12kg/m^2)+3\ kg/m^2*0.8\ m+3\ kg/m^2*1.5\ m} \\\\y=0.88\ m\)
b) the mass moment of inertia about z axis passing the rotation center O is:
\(I_G=\frac{1}{12}*3(0.8)(0.8)^2+ 3(0.8)(0.888)^2-\frac{1}{2}*(12)(\pi)(0.1)^2(0.1)^2 -(12)(\pi)(0.1)^2(1.8-\\0.888)^2+\frac{1}{2}*(12)(\pi)(0.3)^2(0.3)^2 +(12)(\pi)(0.3)^2(1.8-0.888)^2+\frac{1}{12}*3(1.5)(1.5)^2+\\3(1.5)(0.888-0.75)^2\\\\I_G=13.4\ kgm^2\)
c) The mass moment of inertia about z axis passing the rotation center O is:
\(I_o=\frac{1}{12}*3(0.8)(0.8)^2+ \frac{1}{3}* 3(1.5)(1.5)^2+\frac{1}{2}*(12)(\pi)(0.3)^2(0.3)^2 +(12)(\pi)(0.3)^2(1.8)^2-\\\frac{1}{2}*(12)(\pi)(0.1)^2(0.1)^2 -(12)(\pi)(0.1)^2(1.8)^2\\\\I_o=13.4\ kgm^2\)
Planets A and B have the same size, but planet A is half the mass of planet B.
Which statement correctly explains the weight you would experience on each
planet?
A. You would weigh the same on both planets because the planets
are the same size.
B. You would weigh less on planet A because it has less mass than
planet B.
C. You would weigh the same on both planets because your mass
would be the same on both.
D. You would weigh more on planet A because it has less mass than
planet B.
Answer:
B
Explanation:
The more mass an object has, the more gravity it has.
The statement which correctly explains the weight you would experience on each planet is: B. You would weigh less on planet A because it has less mass than planet B.
Weight can be defined as the force acting on a body or an object as a result of gravity.
Mathematically, the weight of an object is given by the formula;
\(Weight = mg\)
Where;
m is the mass of the object.g is the acceleration due to gravity.Hence, we can deduce that the weight and gravity acting on an object is highly dependent on the mass of an object.
Therefore, the higher the mass in a planet, the higher the gravity existing there.
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a body with angular velocity of 2rev/s at t=0 has an angular acceleration of 0.5rev/s^2.After 10s,what will be
1.the final angular velocity
2.the average angular velocity
3.the angular displacement.
Answer:
We can use the equations of rotational motion to solve this problem:
Final angular velocity:
ω = ω0 + αt
where
ω0 = initial angular velocity = 2 rev/s
α = angular acceleration = 0.5 rev/s^2
t = time = 10 s
Plugging in the values, we get:
ω = 2 rev/s + (0.5 rev/s^2)(10 s) = 7 rev/s
Therefore, the final angular velocity is 7 rev/s.
Average angular velocity:
The average angular velocity is given by:
ωavg = (ω0 + ω) / 2
Plugging in the values, we get:
ωavg = (2 rev/s + 7 rev/s) / 2 = 4.5 rev/s
Therefore, the average angular velocity is 4.5 rev/s.
Angular displacement:
θ = θ0 + ω0t + (1/2)αt^2
where
θ0 = initial angular displacement = 0 (since the problem does not specify an initial angular displacement)
Plugging in the values, we get:
θ = (1/2)(0.5 rev/s^2)(10 s)^2 = 25 rev
Therefore, the angular displacement is 25 rev.
Write an experiment to show motion of particles in the matter
The experiment to show the random motion of the particles is the movement of particles in a solution is the simplest representation of motion of particles.
What is the experiment to show the motion of particle in a matter?Pick up two glass beakers. Fill one beaker with hot water and the second one with cold water. Add KMnO4 crystals in very small quantities to both. We thus see that KMnO4 particles move faster in hot water than in cold water.
What is the experiment to show evidence for attraction between the particles:Pick up some iron and a piece of chalk. We learn that it's quite difficult to work with iron. This leads us to believe that the Forces can affect matter particles. among them. The pressure kept between particles and the power of the attraction in materials is at its strongest between particles the least in gases.
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An object of mass 2 kg moving with velocity of 12 m/s, collides head-on with a stationary object whose mass is 6 kg. Given that the collision is elastic, what are the final velocities of the two objects? Neglect friction.
Answer:
5. An object of mass m = 2 kg, moving with velocity Vi1 = 12 m/s, collides head-on with a stationary object whose mass is m2 = 6 kg. The velocities of the objects after the collision are vj1 -6 m/s and Vr2 = 6 m/s.
Explanation:
We can use the conservation of momentum and kinetic energy to solve for the final velocities of the two objects.
Conservation of momentum:
m1v1i + m2v2i = m1v1f + m2v2f
where m1 and v1 are the mass and velocity of object 1 before the collision, and m2 and v2 are the mass and velocity of object 2 before the collision.
Plugging in the values:
(2 kg)(12 m/s) + (6 kg)(0 m/s) = (2 kg)(v1f) + (6 kg)(v2f)
Simplifying:
24 kg m/s = 2 kg v1f + 6 kg v2f
Conservation of kinetic energy:
(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2
Plugging in the values:
(1/2)(2 kg)(12 m/s)^2 + (1/2)(6 kg)(0 m/s)^2 = (1/2)(2 kg)(v1f)^2 + (1/2)(6 kg)(v2f)^2
Simplifying:
144 J = 1 kg v1f^2 + 3 kg v2f^2
Now we have two equations with two unknowns (v1f and v2f). Solving for v1f in terms of v2f in the first equation:
v1f = (24 kg m/s - 6 kg v2f)/2 kg = 12 m/s - 3v2f
Plugging this into the second equation:
144 J = 1 kg (12 m/s - 3v2f)^2 + 3 kg v2f^2
Simplifying and solving for v2f:
144 J = 1 kg (144 m^2/s^2 - 72 v2f + 9 v2f^2) + 3 kg v2f^2
144 J = 144 J - 72 kg m/s v2f + 9 kg m^2/s^2 v2f^2 + 3 kg v2f^2
6 kg v2f^2 - 72 kg m/s v2f + 144 J = 0
Dividing by 6 kg:
v2f^2 - 12 kg m/s v2f + 24 J/kg = 0
Using the quadratic formula:
v2f = [12 kg m/s ± sqrt((12 kg m/s)^2 - 4(1)(24 J/kg))]/(2)
v2f = [12 kg m/s ± sqrt(96) m/s]/2
v2f = 6 kg m/s ± 2sqrt(6) m/s
v2f ≈ 9.90 m/s or v2f ≈ 2.10 m/s
Plugging these values into the equation we found for v1f:
v1f = 12 m/s - 3v2f
v1f ≈ -16.70 m/s or v1f ≈ 38.70 m/s
Since the negative velocity doesn't make physical sense, the final velocities of the two objects are:
v1f ≈ 38.70 m/s and v2f ≈ 2.10 m/s
how long in seconds would it take a rock to fall 450 feet and what would be the final velocity of the rock in miles per hour when it hit the ground
Answer:
S = Vy t + 1/2 g t^2 = 1/2 g t^2 vertical speed with zero initial speed
t = (2 S / g)^1/2 with g = 32 ft/sec^2
t = (900 / 32)^1/2 = 5.30 sec time to reach ground
V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec
170 ft/sec / (88 ft/sec / 60 mph) = 116 mph since 88 ft/sec = 60 mph
help with this please
Answer:
I think it is B
Explanation: the rest don't really make since
Check the three scenarios that have balanced forces.
A tow truck tries and fails to pull a car out of a ditch. Neither the car nor the tow truck move.
Jada and Mya run into each other in bumper cars. They bounce off each other and go in new directions
Zeke rests at the top of Stone Mountain and enjoys the view.
Haleigh throws a baseball from first base to second.
Ryan is playing ice hockey and glides across the ice in a straight line at a constant speed.
The examples of balanced forces include;
A tow truck tries and fails to pull a car out of a ditch. Neither the car nor the tow truck move.Jada and Mya run into each other in bumper cars. They bounce off each other and go in new directions.Zeke rests at the top of Stone Mountain and enjoys the view.What are balanced forces?Balanced forces are those that are opposite in direction and equal in size. Balanced forces are considered to be in a state of equilibrium.
A tow truck tries and fails to pull a car out of a ditch. Neither the car nor the tow truck move. (forces are balanced that's why they don't move).
Jada and Mya run into each other in bumper cars. They bounce off each other and go in new directions. (forces are balanced that's why they bounce off in opposite direction).
Zeke rests at the top of Stone Mountain and enjoys the view. (forces are balanced that's why he is at rest).
Haleigh throws a baseball from first base to second. (forces are not balanced that's why the baseball is in motion).
Ryan is playing ice hockey and glides across the ice in a straight line at a constant speed. (forces are not balanced that's why he is in motion).
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in a typical cop movie we see the hero pulling a gun firing that gun straight up into the air and shouting
It is not recommended to fire a gun straight up into the air.
When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.
Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.
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A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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