The behavior of the atoms in each container is that the atoms in the solid would be vibrating in position. (option C)
What are the states of matter?There are three states of matter, solid, liquid and gas. The properties of the atoms in each state of matter can be used to deduce the overall properties of the atoms in the container.
Thus, statement that can be known about the behavior of the atoms in each container is that the atoms in the solid would be vibrating in position.
Missing parts:
Three grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance. Which statement can be known about the behavior of the atoms in each container?
A) The atoms in the solid would be moving vigorously around the container.
B) The atoms in the liquid would be vibrating in position.
C) The atoms in the solid would be vibrating in position.
D) The atoms in the gas would be moving slowly around the container.
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If a balloon with a weight of 3000 N (306kg) is lifted by an air force of 3300 N, in what will be its acceleration?
Answer:
See below
Explanation:
F = ma net force is 300 N upward
300 = 306 * a a = .980 m/s^2
If the moon crossed the meridian at midnight what phase must the moon be in?
Answer:
Waxing Gibbous
Explanation:
New Moon Rises at sunrise, transits meridian at noon, sets at sunset
Explanation:
Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height
. The mass of each object is a multiple of the base mass
: object 1 has mass 4.60
, object 2 has mass 2.21
, and object 3 has mass
. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero.
Each answer requires the numerical coefficient to an algebraic expression that uses some combination of the variables , , and , where is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23 , just enter 1.23)
Image showing three masses, 1, 2, and 3, and three steps, each of height D. The three masses are shown at the base of the steps. Arrows indicate that mass 1 is placed on the top step at height 3 D, mass 2 is placed on the middle step at height 2 D, and mass 3 is placed on the bottom step at height D.
If the objects are positioned on the steps as shown, what is gravitational potential energy ,system of the system?
If you redefine the reference height such that the total potential energy of the system is zero, how high ℎ0 above the bottom of the stairs is the new reference height?
Now, find a new reference height ℎ′0 (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy.
a) The gravitational potential energy of the system of three masses at the given positions is 188.36md.
(b) The redefined reference height is h₀ = 0.55d.
(c) The new reference height measured from the base is h₀' = 0.96d.
What is the gravitational potential energy of the system?
(a) The gravitational potential energy of the system of three masses at the given positions is calculated as;
total gravitational potential energy = P.E(mass 1) + P.E(mass 2) + P.E(mass 3)
T.G.P.E = m₁gh₁ + m₂gh₂ + m₃gh₃
where;
mass of object 1, m₁ = 4.6mmass of object 2, m₂ = 2.21mmass of object 3, m₃ = mh₁ = 3dh₂ = 2dh₃ = dT.G.P.E = (4.6m x 9.8 x 3d) + (2.21m x 9.8 x 2d) + (m x 9.8 x d)
T.G.P.E = 135.24md + 43.32md + 9.8md
T.G.P.E = 188.36md
(b) The redefined reference height is calculated as follows;
0 = (4.6m x 9.8 x h₀) + (2.21m x 9.8 x (h₀ - d) + (m x 9.8 x (h₀ - 2d)
0 = 45.08mh₀ + 21.66mh₀ - 21.66md + 9.8mh₀ - 19.6md
0 = 45.08h₀ + 21.66h₀ - 21.66d + 9.8h₀ - 19.6d
0 = 76.54h₀ - 41.26d
76.54h₀ = 41.26d
h₀ = 41.26d/75.54
h₀ = 0.55d
(c) The new reference height measured from the base such that the highest two objects have the exact same gravitational potential energy is calculated as follows;
m₂gh₂ = m₁gh₁
2.21m x 9.8 x h₂ = 4.6m x 9.8 x h₁
21.66mh₂ = 45.08mh₃
21.66h₂ = 45.08h₁
h₁ = 21.66h₂/45.08
h₁ = 0.48h₂
h₀' = 0.48 x (2d)
h₀' = 0.96d
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if the motor m rotates in the direction shown by the arrow what is going on
The question is incomplete,I will complete the question and provide the answer.
Due to the nature of the question,I will sketch an answer/solution to the question and submit it as an attachment.
So you will be having two attachments,
1) The question
2) The solution
From the options given in the first attachment with is the question,the correct answer is option C.
1 AND 2 ARE GOING UP.
Proper explanation using sketch and arrows is given in the second attachment which shows the solution to the question.
Isobaric process is one carried out at constant (A) Speed (B) Volume
(D) Temperature (E) Acceleration.
Answer:
Isobaric process is one carried out at constant Pressure.
Explanation:
An isobaric process is a process that takes place under constant pressure. The first law of thermodynamics can be written as follows for the Isobaric Process:
ΔQ = ΔU + PΔV
where,
ΔQ = Heat Transfer
ΔU = Change in Internal Energy of the System
P = Constant Pressure
ΔV = Chang in Volume of the System
In an isobaric process, heat supplied to the system is utilized to increase its internal energy and to do work.
Hence, all the options given are incorrect. The correct option is:
Isobaric process is one carried out at constant Pressure.
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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A box of mass 20kg is pulled up an inclined plane by a force of 285N. Given that the value of
the incline angle is 30 degrees and the coefficient of dynamic friction is 0.72, what is the speed
with which the box is moving with, assuming it takes 4seconds to reach the top of the incline?
Answer:
19.6 m/s
Explanation:
The parameters given are:
Mass M = 20 Kg
Force F = 285 N
Angle Ø = 30 degree
Time t = 4 seconds
Coefficient of friction = 0.72
At the plane, the weight of the box will be mgsinØ
Resolving forces at the plane, we will have:
MgsinØ + Fr = F
Where Fr = frictional force.
Fr = F - mgsinØ
Substitute all the parameters into the formula
Fr = 285 - 20 × 9.8 sin30
Fr = 285 - 98
Fr = 187 N
But for the box moving toward the top of the plane,
F - Fr = ma
Where a = V/t
Substitute all the parameters involved into the formula
285 - 187 = 20 ( V/4)
98 = 5V
V = 98/5
V = 19.6 m/s
Therefore, the speed with which the box is moving is 19.6 m/s
some psychologists believe that eating disorders representative fence against unconscious conflicts related to sexual development. These psychologists have adopted a _____ approach to eating disorders.
Some psychologists believe that eating disorders represent a defense against unconscious conflicts related to sexual development. These psychologists have adopted a Psychoanalytic approach to eating disorders.
What is a Psychoanalytic approach?A psychoanalytic approach is based on the idea that our unconscious thoughts, feelings, and motivations can have a powerful influence on our behavior by focusing on helping individuals to gain insight into their unconscious processes, recognize and resolve conflicts, and modify their behavior.
Therefore, with this data, we can see that a Psychoanalytic approach is based on unconscious mental processes to develop a cure.
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Calculate that object's net displacement over the time shown.
a. 540 m
b. 2,520 m
c. 2,790 m
d. 5,040 m
Answer:
c
Explanation:
im sorry if im wrong
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What is the energy equivalent of an object with a mass of 2.5 kg? 5.5 × 108 J 7.5 × 108 J 3.6 × 1016 J 2.25 × 1017 J
Answer:
E = m c^2 = 2.5 * (3 * 10E8)^2 = 2.25 * 10E17 Joules
Answer:
The answer is D. 2.25 × 1017 J
Explanation:
got it right on edge 2021
Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed in m/s of a satellite in an orbit 980 km above the Earth's surface.
Answer:
564
Explanation:
Transduction is:
A. sending information to the central nervous system.
B. turning energy into nerve impulses.
C. the process of seeing and hearing.
D. transferring information
Answer:
D
Explanation:
the answer is d because process of genetic recombination in bacteria in which genes from a host cell (a bacterium) are incorporated into the genome of a bacterial virus (bacteriophage) and then carried to another host cell when the bacteriophage initiates another cycle of infection
1. Two small, identical conducting spheres A and B are a distance R apart; each carries the same charge Q. What is the force sphere B is exerting on sphere A? (2 marks) b. An identical sphere with zero charge, sphere C, makes contact with sphere A and is then moved very far away. What is the net force now acting on sphere A? (3 marks) c. Sphere C next makes contact with sphere A and is then moved far away. What is the force on sphere A in this third case? (2 marks)
Answer:
the same question I want to know
a. Spheres A and B carry the same charge \(\rm \( Q \)\), the force can be written as:
\(\rm \[ F = \frac{k Q^2}{R^2} \]\), b. The net force on sphere A now is the force due to sphere B, which is: \(\rm \[ F = \frac{k \frac{Q}{2} \cdot Q}{R^2} = \frac{k Q^2}{2R^2} \]\), c. The magnitude of the force on sphere A in this third case is \(\rm \( \frac{3}{8} \)\) of the original force.
a) The magnitude of the force (F) sphere B exerts on sphere A can be calculated using Coulomb's law:
\(\rm \[ F = \frac{k Q_1 Q_2}{R^2} \]\)
where:
k is Coulomb's constant \(\rm \( k = \frac{1}{4\pi\epsilon_0} \)\) where \(\rm \( \epsilon_0 \)\) is the vacuum permittivity constant),
\(\rm \( Q_1 \)\) and \(\rm \( Q_2 \)\) are the charges on spheres A and B respectively, and
\(\rm \( R \)\) is the distance between the two spheres.
Since both spheres A and B carry the same charge \(\rm \( Q \)\), the force can be written as:
\(\rm \[ F = \frac{k Q^2}{R^2} \]\)
b) When an identical sphere C makes contact with sphere B, they share the charge equally. Sphere B now carries \(\rm \( \frac{Q}{2} \)\) charge, and sphere C carries \(\rm \( \frac{Q}{2} \)\) charge.
When sphere C is moved far away, it exerts no force on sphere A. So, the net force on sphere A now is the force due to sphere B, which is:
\(\rm \[ F = \frac{k \frac{Q}{2} \cdot Q}{R^2} = \frac{k Q^2}{2R^2} \]\)
c) When sphere C makes contact with sphere A, they both share the charge equally. Each sphere now carries \(\rm \( \frac{Q}{2} \)\) charge.
When sphere C is moved far away, the net force on sphere A now is the force due to the charge on sphere A itself, which is:
\(\rm \[ F = \frac{k \frac{Q}{2} \cdot \frac{Q}{2}}{R^2} \\\\\rm = \frac{3}{8} \frac{k Q^2}{R^2} \]\)
So, the magnitude of the force on sphere A in this third case is \(\rm \( \frac{3}{8} \)\) of the original force.
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A material that provides resistance to the flow of electric current is called a(n):
circuit
conductor
insulator
resistor
Answer:
it's an insulator
Explanation:
Insulators provides resistance
Answer:
C. insulator
Explanation:
A low sounding note has a frequency of 40 HZ and a speed in the air of 340 m/s How long in that wave?
Given,
The frequency of the sound, f=40 Hz
The speed of the sound in the air, c=340 m/s
The speed of a wave in a medium is given by the product of the frequency and the wavelength of the wave.
Thus the speed of the sound with the given frequency is calculated using the formula,
\(c=\lambda f\)Where λ is the wavelength of the wave.
On rearranging the above equation,
\(\lambda=\frac{c}{f}\)On substituting the known values,
\(\begin{gathered} \lambda=\frac{340}{40} \\ =8.5\text{ m} \end{gathered}\)Thus the length of the wave or the wavelength of the given wave is 8.5 m
Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.
The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.
Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.
During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.
The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.
By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.
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a concave mirror has a focal length of 12cm the object is [laced at 24cm. What type, orientation,location and magnification does the image have?
To obtain the type, orientation, location and magnification of the image, we shall first obtain the location (i.e distance) of the image from the mirror. Details below:
The location i.e distance of the image can be obtained as follow:
Focal length (f) = 12 cmObject distance (u) = 24 cmImage distance (v) =?1/f = 1/v + 1/u
Rearrange
1/v = 1/f - 1/u
v = (f × u) / (u - f)
v = (12 × 24) / (24 - 12)
v = 288 / 12
v = 24 cm
Thus, the the location of the image is 24 cm
Since the location of the image is positive (i.e 24 cm). Thus,
The type of image is realThe orientation of the image is invertedNow, we shall obtain the magnification of the image. Details below:
Object distance (u) = 24 cmImage distance (v) = 24 cmMagnification (m) = ?Magnification = image distance (v) / object distance (u)
Magnification = 24 / 24
Magnification = 1
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Which shows evidence of active transport?
A scientist places four identical cells into four different
liquids, each with different concentrations of magnesiuni.
Celll
w
Description of Liquid
Slightly more magnesium than the
cell
The least amount of magnesium
O
O
O
O
cells W and Z
cell W only
cell Y only
cells X and Y
Result
Took in
magnesium
Took in
magnesium
Took in
magnesium
Took in
magnesium
Slightly less magnesium than the
cell
The most amount of magnesium
Answer: D
X and Y
Explanation:
X The least amount of magnesium Took in magnesium
Y Slightly less magnesium than the cell Took in magnesium
Because active transport occurs when ions or molecules move from less concentration region to high concentration region through semi membrane with the help of some energy.
Answer:
Cells X and Y
Explanation:
Active transport occurs when a substance moves across a membrane against its concentration gradient.
Cells W and Z were placed in a liquid containing more magnesium than the cells. Magnesium therefore, diffuses passively down it's concentration gradient into the cells.
However, cells X and Y were placed in a solution containing less magnesium than the cells, yet these cells took in magnesium against this concentration gradient. This, shows that active transport had taken place.
A gun fires a bullet 13 m/s at a distance of 9.18m. How long did it take the buller to travel that distance at that speed? Show your work. Don’t forget the unit.
Answer:
9.18/13=0.7062 second
Explanation:
9.18meters devide it by the speed 13m/s
≈0.7062
a box of mass 8.0 kg rests on a horizontal rough surface. a string attached to the box passes over a smooth pulley and supports a 2.0 kg mass at its other end, when the box is released, a frictional force of 6.0 n acts on it. (a) draw free-body diagrams of the 8.0 kg box and the 2.0 kg mass. (b) determine the (i) acceleration of the system, (in) tension in the string.
a. The free-body diagrams of the 8.0 kg box and the 2.0 kg mass is attached below.
bi) the acceleration of the system is 0.4 m/s^2
bii) the tension in the string is 0.8 N.
How do we calculate?Net force = ma
Net force = T - F_friction
where T is the tension force and F_friction is the frictional force.
Substituting the given values, we have:
T - F_friction = ma
T - 6.0 N = (8.0 kg + 2.0 kg) a (since the tension force acts on both masses)
T - 6.0 N = 10.0 kg a
(ii) To find the tension in the string, we can apply Newton's second law of motion to the 2.0 kg mass:
Net force = ma
where m is the mass of the mass and a is the acceleration of the system. The net force on the mass is the tension force:
Net force = T
Substituting the given values, we get:
T = ma
T = 2.0 kg x a
To solve for T, we need to find the acceleration of the system.
To find both a and T, we can use the equations we derived above and solve them simultaneously:
T - 6.0 N = 10.0 kg a (equation 1)
T = 2.0 kg x a (equation 2)
Substituting equation 2 into equation 1, we get:
2.0 kg x a - 6.0 N = 10.0 kg a
Solving for a, we get:
a = 0.4 m/s^2
Substituting a into equation 2, we get:
T = 2.0 kg x 0.4 m/s^2 = 0.8 N
Therefore, the acceleration of the system is 0.4 m/s^2 and the tension in the string is 0.8 N. of the system is 0.4 m/s^2 and the tension in the string is 0.8 N.
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A hoop rolls with constant velocity and without sliding along level ground. Its rotational kinetic energy is:______a- half its translational kinetic energyb- the same as its translational kinetic energyc- twice its translational kinetic energyd- four times its translational kinetic energy
Answer:
The same as its translational KE.
The easy way to do this is to make up numbers and use them.
So, I'll say m=2 and r=3. I will also say v=3 .
Rot. Inertia of a hoop is mr^2. So the rot KE is: 1/2 (mr^2)(w^2)
note: (1/2*I*w^2)
Translational kinetic energy is basically normal KE, so 1/2(m)(v^2)
Now, lets plug our made up values in:
Rot Ke : 1/2 (9*2)(3/3) *note w = v/r
Tran Ke: 1/2(2)(9)
Rot Ke: 9
Tran Ke: 9
9=9, same.
In Newtonian ring observation equipment, the space between the lens and the glass plate is filled with liquid. Calculate the refractive index of the liquid if the radius of the third bright ring is 3.65 mm. Observations are made in transmitted light. The radius of curvature of the lens is 10m. The wavelength of light is 0.0000589 cm.
The answer is 1.33, but how?????
To calculate the refractive index of the liquid, we can use the formula for the radius of the nth bright ring in Newton's rings: \(r_n\) = √(n × λ × R). Therefore, the refractive index of the liquid is approximately 1.378.
\(r_n\) = √(n × λ × R) (formula )
Where: \(r_n\) is the radius of the nth bright ring,
n is the order of the ring,
λ is the wavelength of light,
and R is the radius of curvature of the lens.
the third bright ring (r_3 = 3.65 mm = 0.365 cm), the radius of curvature of the lens (R = 10 m = 1000 cm), and the wavelength of light (λ = 0.0000589 cm).
n = \(r_n\) / √(n × λ × R)
Substituting the given values:
n = 0.365 / √(3 × 0.0000589 × 1000)
Calculating the value:
n ≈ 1.378 ( refractive index)
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Ken Runfast is the star of the cross-country team. During a recent morning run, Ken averaged a speed of 5 m/s for 12.4 minutes. Ken then averaged a speed of 6.1 m/s for 6 minutes. Determine the total distance (in m) that Ken ran during his jog.
The star of a cross-country team is Ken Runfast. Ken recently ran for 12.4 minutes at an average speed of 5 m/s. After then, Ken's average speed was 6.1.
What is the total distance travelled?Distance is the overall movement of an item with consideration of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.
Why do we measure distance?We can determine an object's actual size by learning how far away it is. The area an object occupies in the sky can be measured. The distance from it must then be determined in order to determine its true size. An thing appears smaller the further it is away.
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A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.
If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.
To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.
Given:
Mass of the box, m = 210 kg
Tension in the string, T = 1300 N
The angle of inclination, θ = 35°
Frictional force, f = 100 N
Initial speed, u = 0 m/s
Final speed, v = 10 m/s
First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:
T_parallel = T * cos(θ)
Next, let's calculate the net force acting on the box along the incline. The net force is given by:
Net force = T_parallel - f
Now, using Newton's second law, we can calculate the acceleration (a) of the box:
Net force = m * a
From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):
v^2 = u^2 + 2as
Rearranging the equation, we get:
s = (v^2 - u^2) / (2a)
Now, let's plug in the given values and calculate the distance covered:
T_parallel = 1300 N * cos(35°) ≈ 1067.35 N
Net force = 1067.35 N - 100 N = 967.35 N
a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2
s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m
Therefore, the distance covered by the box is approximately 10.89 meters.
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А
mass exerts force of
5.6 X 10^-10N on
another mass
when
seperated 93cm apart. If
one mass is the square root of
the other
Find
value of
the two masses.
Answer:
i hope it will be useful for you
Explanation:
F=5.6×10^-10N
R=93cm=0.93m
let take m1 and m2 =m²
according to newton's law of universal gravitation
F=m1m2/r²
F=m²/r²
now we have to find masses
F×r²=m²
5.6×10^10N×0.93m=m²
5.208×10^-9=m²
taking square root on b.s
√5.208×10^-9=√m²
so the two masses are m1=7.2×10^-5
and m2=7.2×10^-5
1. What is the distance covered by a T-Rex that goes from 0 m/s to 9 m/s in 6.78 seconds? (10
points)
With the use of first and third equation of motion, the distance covered by a T-Rex is 30.51 m
Linear MotionWhen a body is in linear motion, the body is moving in a straight line. some of the parameters to consider are:
Distance coveredSpeedVelocityAccelerationE.T.CGiven that a T-Rex move from 0 m/s to 9 m/s in 6.78 seconds, the distance covered can be found by calculating the acceleration.
Let us use equation 1
V = U + at
9 = 0 + 6.78a
a = 9 / 6.78
a = 1.33 m/\(s^{2}\)
Now let us use equation 3
\(v^{2}\) = \(u^{2}\) + 2as
\(9^{2}\) = 2 x 1.33 x S
81 = 2.655S
S = 81/2.655
S = 30.51 m
Therefore, the distance covered by a T-Rex is 30.51 m.
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The best rebounders in basketball have a vertical leap of about 121 cm. What is their vertical "launch" speed off the ground?
v0 = initial speed
g= gravity = 9.8 m/s^2
h= height = 121 cm = 1.21 m
KE = PE
1/2*v^2 *m = mgh
1/2 v^2 = gh
vo^2 = 2* g* h
vo^2 = 2* 9.8 * 1.21
vo = √(2* 9.8 * 1.21)
vo= 4.87 m/s
Their vertical launch speed is 4.87 m/s
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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All of the following are characteristics of gravity except
Answer 1-It is a force of attraction
Answer 2-It does not change
Answer 3-It is described as the bending of space
Answer 4 - it is responsible for the planets revolving around the sun
Gravity is not described as the bending of space.
So answer 3 is the correct option among them.
What is gravity?Gravity is described as a fundamental interaction which causes mutual attraction between all things with mass or energy.
The characteristics of gravity include the following:
It is a force of attractionIt does not change it is responsible for the planets revolving around the sunGravity is also known as the universal force of attraction acting between all matter. Gravity has been found by experts to be by far the weakest known force in nature.
In conclusion, Gravity creates stars and planets by pulling together the material from which they are made.
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Air is pumped into the tyre to inflate it.
This increases the temperature and the pressure of the air in the tyre.
Use ideas about molecules to explain why the air pressure in the tyre increases. *