The velocity of the ladder when the base of the ladder is 7, 15, and 24 feet from the wall is -0.875, -2.25, and -10.286 respectively.
Given, the length of the ladder= 25 ft
Let x be the distance between the wall and the ladder and h be the height of the ladder from the ground
x² + h² = (25)²
x² +h²= 625
h²= 625- x²
h= [tex](625- x^{2})^{1/2}[/tex]
[tex]\frac{dh}{dx}[/tex] = [tex]\frac{1}{2}[/tex] [tex](625- x^2)^{-1/2} * (-2x)[/tex]
[tex]\frac{dh}{dx}[/tex] = [tex]\frac{-x}{\sqrt{ (625-x^2)}}[/tex]
We have dx/dt= 3 ft/sec
Therefore, by applying the chain rule, we can get the value of dh/dt as:
dh/dt= dh/dx *dx/dt
=[tex]\frac{-x}{\sqrt{ (625-x^2)}}*3[/tex]
=[tex]\frac{-3x}{\sqrt{ (625-x^2)}}[/tex]
Now substituting the different values of x in the acquired equation
When x= 7, dh/dt= [tex]\frac{-7}{8}[/tex] ft/sec= -0.875 ft/sec
When x= 15, dh/dt= [tex]\frac{-9}{4}[/tex] ft/sec= -2.25 ft/sec
When x= 24, dh/dt= [tex]\frac{72}{7}[/tex] ft/sec= -10.286 ft/sec
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two boxes of masses m and 2m are in contact with each other on a frictionless surface. (see fig. 4-3.) what is the acceleration of the more massive box?
the acceleration of the more massive box is = F/3M.
What is the formula for acceleration?This equation a = v/t denotes acceleration (a), which is the velocity that changes (v) over the time period (t).
What three forms of acceleration are there?The three main types of accelerated motions are uniform acceleration, quasi acceleration, and average acceleration.The motion in which an item moves inside a straight line while increasing in velocity at regular intervals is referred to as uniform acceleration.
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(02.02 LC)
Alison rode her skateboard 39 meters in 22 seconds. What is her speed?
O a
O b
Oc
0.56 m/s
0.8 m/s
1.3 m/s
1.8 m/s
1.3 m/s is the speed . when Alison rode her skateboard 39 meters in 22 seconds.
Option C is correct
How is quizlet's pace determined?Divide the distance traveled by the time required to cover that distance to determine an object's speed. This formula is speed=distance/time (s=d/t). A unit of distance is divided by a unit of time in the speed equation.
What data is required to determine velocity and speed?Calculating Speed and Velocity The ratio of the object's total distance over a period of time to that period is used to determine speed. The ratio of a displacement interval to the time taken, on the other hand, allows one to calculate velocity.
speed=distance/time (s=d/t )
S = 32 / 22 = 1.3 m/s
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A coffee mug is _____ while a wine glass is _____. Question 6 options: transparent; opaque opaque; transparent translucent; opaque translucent; transparent
Answer:
A coffee mug is opaque while a wine glass is transparent.
Using the velocity versus time graph, caculate the acceleration of Object A.
A) -0.33 m/s^2
B) -3 m/s^2
C) 3 m/s^2
D) 0.33 m/s^2
Please help I'm giving 100 points and The Brainlest to whom ever answers it. Thank you in advance <3
From the given velocity vs time graph, the acceleration of object A is equal to 3 m/s². Therefore, option C) is correct.
What is acceleration?Acceleration can be demonstrated as the rate of change of an object's velocity of an object with respect to time.
Acceleration can also be calculated from the second derivative of position w.r.t. time or the first derivative of velocity w.r.t. time.
[tex]\displaystyle a =\frac{dv}{dt}[/tex]
Given, on the velocity versus time graph for object A:
at time t₁ = 1 sec, the velocity v₁ = 3 m/s
At time t₂ = 2 sec, the velocity v₂ = 6 m/s
Acceleration of the object A can be calculated as:
[tex]\displaystyle a= \frac{v_2-v_1}{t_2-t_1}[/tex]
[tex]\displaystyle a= \frac{6-3}{2-1}[/tex]
a = 3 m/s²
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A beam of electrons moves at velocity 4.6 ⋅105
m/s in the positive x direction through a uniform 2.8 T magnetic field pointing in the positive y direction.
What direction does the magnetic force point?
+x
-x
+y
-y
+z
-z
What is the magnitude of the force?
F
(a) The direction of the magnetic field is positive z direction.
(b) The magnitude of the magnetic force is 2.063 x 10⁻¹³ N.
What is the direction of the magnetic field?The direction of the magnetic field is determined by applying Fleming's right hand rule.
The right hand rule states that if you point your right thumb in the direction of the velocity, your index finger in the direction of the magnetic field and then your middle finger will point in the direction of the the resulting magnetic force.
The magnitude of the magnetic force is calculated as follows;
F = qvB
where;
q is the charge of the electronv is the velocity of the electronB is the direction of magnetic fieldF = ( 1.602 x 10⁻¹⁹ x 4.6 x 10⁵ x 2.8 )
F = 2.063 x 10⁻¹³ N
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1. Hussein is 40 and he has an IQ score of 150. Which statement is true about Hussein's IQ score?
Hussein's mental image is 15.
Hussein's intelligence is below average.
Hussein's intelligence is average.
Hussein intelligence is above average.
Answer:
Hussein's intelligence is above average.
Explanation:
An IQ score of 150 is considered to be very high, and indicates that Hussein's intelligence is well above average. The average IQ score is 100, and scores above 130 are considered to be in the range of highly gifted individuals. Therefore, it is likely that Hussein has a high level of intelligence. However, it is important to note that IQ tests are not perfect measures of intelligence, and there are many other factors that contribute to a person's overall level of intelligence.
an object with a mass of 5kg is initially at rest on a frictionless horizontal surface. a horizontal force is applied to the objevt. the object changes its position as
The object changes its position as a result of the force applied to it. This change in position is known as acceleration.
What explanation is responsible for the acceleration?The magnitude of the acceleration of the object depends on the magnitude of the force applied and the mass of the object. Based on the Second Law of Motion, the acceleration of an object is directly proportional to the force applied and inversely proportional to the mass of the object. This relationship can be expressed mathematically as:
a = F/m
where a is the acceleration of the object, F is the force applied, and m is the mass of the object.
So in this case, if a force of F is applied to the 5kg object, it will experience an acceleration of a = F/5. For example, if a force of 10N is applied to the object, it will accelerate at a rate of 2 m/s^2 (a = 10N/5kg = 2 m/s^2).
Therefore, the correct answer is as given above
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PLEASE HELP ME ANSWER THE PHYSICS QUESTIONS ON MY PROFILE!!! i will give brainliest to the first to answer!!! this one and the other ones
this is the easiest one
Find the uniform acceleration that causes a car's velocity to change from 23.6 m/s to 85.9 m/s in 7.6 seconds.
The work done in pushing a 40 kg chair from the kitchen table to 10 meters down the
hall would be about “blank”
neglecting friction.
The work done in pushing a 40 kg chair from the kitchen table to 10 meters down the hall would be 3920 Nm.
What is gravitational force?Gravity, also called gravitational force in mechanics, is the universal force of attraction that acts between all matter. It is the weakest of the known forces in nature, and therefore plays no role in determining the internal properties of everyday matter. It controls the orbits of objects, stars, galaxies, and the universe as a whole, as well as the structure and evolution of objects elsewhere in the universe.
On Earth, every object has a weight, or downward gravitational force, proportional to its mass. , the mass of the Earth acts on them. Gravity is measured by the acceleration it imparts to a free-falling object. At the Earth's surface, the acceleration of gravity is approximately 9.8 meters (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.
Gravitational force on chair:
F = mg
When, F = force
m = mass of chair (40 kg)
g = gravitational acceleration (9.8 m/s²)
F = 40 × 9.8
F = 392 N
For work done:
W = F × s
Where, w = work done
F = force (392 N)
s = distance (10 m)
W = 392 × 10
W = 3920 Nm
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the emf induced in a loop rotating in a uniform magnetic field is largest when the normal to the plane of the loop makes an angle of with the field.
The emf induced in a rotating loop in the greatest uniform magnetic field when the normal to the plane of the loop makes an angle with the field of 0 (zero).
Induction electromotive force (abbreviated as induction emf) is an electromotive force that arises in the coil caused by a changing magnetic field with a fast tempo. This force includes a certain amount of magnetic flux.
Factors that affect the magnitude of the induced emf are:
The speed of changing the magnetic field. The faster the magnetic field changes, the greater the induction emf that arises.The number of turns. The more turns, the greater the induced emf that arises.The figure shows that the angle of rotation in the normal plane is 0 degrees. The induced emf strength is maximum only when the plane normal to the coil makes 90 or 270 degrees with the magnetic field as shown in the figure below.
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A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.70 kg and 2.50 kg, and the length of the wire is 1.21 m. Find the velocity (magnitude and direction) of the ball (a) just before the collision, and (b) just after the collision.
Just before the collision, the ball has a velocity of 9.3 m/s, downward. After the collision, the ball has a velocity of 6.2 m/s, upward.
To solve this problem, we can analyze the motion of the ball and block before and after the collision using the principles of conservation of energy and momentum. Since the collision is elastic, the total kinetic energy of the system is conserved. The ball has gravitational potential energy before the collision, which is converted to kinetic energy as it falls.
The block has no kinetic energy before the collision, but gains some after the collision due to the transfer of momentum from the ball. By equating the total kinetic energy before and after the collision and using the principle of conservation of momentum, we can solve for the velocities of the ball and block.
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when a hurricane moves onto land, it rapidly declines because of friction and lack of warm, moist air. t/f
False, supposedly when a hurricane moves ashore, it quickly rises due to friction and a lack of warm, moist air.
Hurricanes are known as cyclones as well as typhoons in other tropical regions. Typhoons are one of the most disturbing types of natural disasters at the moment.
Scientifically, the cause of hurricanes from warm water, warm moist air, and light upper-level winds as the primary ingredients of their formation.
Typhoons have other terms, depending on where they occur. the scientific term for a hurricane is a tropical cyclone. Only tropical cyclones that form over the Atlantic Ocean or the eastern Pacific Ocean are called "hurricanes".
The cause of a hurricane occurs when a warm, moist air mass from the sea surface begins to rise rapidly and collides with a colder air mass. The friction pushes the warm water vapor to condense. During the condensation process, latent heat is emitted.
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There is a full box containing 10 kg of wood chips. We measured the box volume which is 0.0137 m3. We also know there is significant void space between the soybeans, but do not have a specific value for the voids.
What is the bulk density of the wood chips?
The bulk density of the wood chips is 729.93 kg/m3
What is bulk density?Bulk density is defined as the mass of the material's numerous particles divided by the entire volume occupied. Particle volume, inter-particle void volume, and internal pore volume are all included in the overall volume. Bulk density is a feature of powders, grains, and other "split" materials. It is also known as apparent density or volumetric density.
D = M / V
Where,
D = bulk density
M = weight of the container
V = Container volume
According to the given question,
Mass of the wood chips = 10kg
Box volume = 0.0137m3
Bulk density of wood chips = Mass of the wood chips/Volume of the box
= 10 / 0.0137
= 729.93 kg/m3
The bulk density of the wood chips is 729.93 kg/m3
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The graphical representation of vector A has its tail at the origin and its tip in the third quadrant. Vector B has its tail at the origin and its tip in the second quadrant. The resultant R of these two vectors is drawn so that its tail is also at the origin. Which two quadrants could you conclude as possible positions for vector R's tip?
Ensure that the graph has a title that accurately describes the presentation's subject. The measuring unit should be mentioned in the graph. The right scale must be chosen in order to accurately represent the facts.
What are the graphical representation of vector?Similar-direction vectors are referred to as like vectors. Contrarily, vectors that point in the opposite direction from one another are said to be unlike vectors.
Therefore, arrows can be used to graphically represent vectors.The arrow's length provides a measure of the vector's magnitude.The vector's direction is indicated by the direction of the arrow.
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Two protons (charge q
= 1.602·10-19 C) move at the same speed v=
1.6 ·105 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r=
0.7 m in the positive y-direction with respect to the one moving in the positive direction.
What is the magnetic field direction at the point of the proton moving in the negative direction?
+x
-x
+y
-y
+z
-z
What is the magnetic force direction experienced by the proton moving in the negative direction?
+x
-x
+y
-y
+z
-z
The magnetic field at the point of the proton moving in the negative direction is equal to 1.84 ×10⁻¹⁴ T.
The magnetic force experienced by the proton moving in the negative direction is equal to 4.71 x 10⁻²⁸ N.
What is the magnetic field due to proton?The magnitude of the magnetic field due to the proton at distance 'r' moving in the negative direction is determined as follows;
F = q.v.B = (kq²)/r²
q.v.B = kq²/r²
B = kq/vr²
Where, k is the coulomb's constant, r is the distance between two protons, q is the charge of the protons, and v is the proton's speed.
Given the charge on the proton, q = 1.602 × 10⁻¹⁹C
The speed of the proton, v = 1.6 × 10⁵ m/s
B = (9 × 10⁹ × 1.602 × 10⁻¹⁹) / (1.6 x 10⁵ m/s × 0.7 × 0.7)
B = 18.39 × 10⁻¹⁵ T
B = 1.84 ×10⁻¹⁴ T
The magnetic force in the negative direction experienced by the proton is calculated as follows;
F = qvB
F = 1.602 × 10⁻¹⁹× 1.6 x 10⁵ × 18.39 × 10⁻¹⁵ T
F = 47.1 × 10⁻²⁹ N
F = 4.71 × 10⁻²⁸ N
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T/F copernican astronomers believed that the earth orbited the sun and rotated on its own axis, while ptolemaic astronomy held that it was motionless.
Insofar as the Copernican cosmos differed from the Ptolemaic universe, the assertion about how it did so is correct.
Why is Ghost missing from Motionless in White?Devin "Ghost" Sola, a bassist for Motionless in White, is no longer with the band. The group revealed that Sola had split ways amicably and had decided to go to the next phase of his career in a statement posted on social media. 2011 saw Sola's band debut.
Motionless: What is it used for?He was on the ground, unmoving. He briefly held her in his arms while appearing to dance without moving. He remained immobile and with his eyes closed after being placed on his camp bed for a considerable amount of time.
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If a piece of elastic wire 2 meters long and 3 centimeters in diameter increases its length by 2.5 cm when a force of 0.25 is applied to its area.Find the force applied on the string and the Young's scale of the string?
Answer: If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other.
Explanation:
The force applied to the elastic wire can be calculated using the formula for Hooke's Law, which states that the force applied to an elastic object is proportional to the extension of the object. The formula for Hooke's Law is:
F = kx
where F is the force applied, k is the spring constant, and x is the extension of the object.
In this case, the extension of the object is 2.5 cm, and the force applied is 0.25. We can use these values to solve for the spring constant:
k = F/x
= 0.25 / 2.5 cm
= 0.1 N/cm
The spring constant is 0.1 N/cm, which represents the stiffness of the elastic wire. The higher the spring constant, the more force is required to stretch the wire.
The Young's modulus of the elastic wire can also be calculated using the formula:
E = F/A
where E is Young's modulus, F is the force applied, and A is the cross-sectional area of the wire.
In this case, the cross-sectional area of the wire is 3 cm in diameter or 7.07 cm^2. We can use this value, along with the force and spring constant, to calculate Young's modulus:
E = F/A
= 0.25 / 7.07 cm^2
= 0.035 N/cm^2
Young's modulus of the elastic wire is 0.035 N/cm^2, which represents the stiffness of the wire under tension. A higher Young's modulus indicates that the wire is more resistant to being stretched.
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40k undergo beta decayed, electron capture, and positron decayed. write the equation for each of these nuclear reactions
The equation for each of these nuclear reactions is Nucleus A -> Nucleus B + beta particle (-1 charge) + neutrino (0 charge).
Beta decay is a type of radioactive decay in which an atomic nucleus emits a beta particle (an electron or a positron) and transforms into an atomic nucleus with one less atomic number and one more atomic mass. The equation for beta decay can be written as:
Nucleus A -> Nucleus B + beta particle (-1 charge) + neutrino (0 charge)
where Nucleus A is the parent nucleus, Nucleus B is the daughter nucleus, and the beta particle and neutrino are the products of the reaction.
Electron capture is a type of radioactive decay in which an atomic nucleus captures one of its own electrons and transforms it into an atomic nucleus with one less atomic number and the same atomic mass. The equation for electron capture can be written as follows:
Nucleus A + electron (-1 charge) -> Nucleus B + neutrino (0 charge)
where Nucleus A is the parent nucleus, Nucleus B is the daughter nucleus, and the neutrino is the product of the reaction.
Positron decay is a type of radioactive decay in which an atomic nucleus emits a positron (a positively charged particle with the same mass as an electron) and transforms into an atomic nucleus with one less atomic number and one less nuclear mass. The equation for positron decay can be written as:
Nucleus A -> Nucleus B + positron (+1 charge) + neutrino (0 charge)
where Nucleus A is the parent nucleus, Nucleus B is the daughter nucleus, and the positron and neutrino are the products of the reaction.
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A professional football player kicks a football with an initial velocity v = (15.0 m/s )ˆ x ^ + (19.0 m/s )ˆ y ^ . How long the football stays in the air is known as the hang time.
Answer:
3.87 s
Explanation:
When the y component = 0, the ball is at its apex and 1/2 of the way through its flight.
vy = 19 + at where a = - 9.81 m/s
0 = 19 - 9.81t shows the one-half-flight 't' = 1.94 s
double this result to get total 't' = 3.87 s
Q)What is the force between two small charged spheres having charges of 2 × 10^–7C and 3 × 10^–7 C placed 30 cm apart in.
The force that is acting on the spheres is obtained as 0.006 N from the calculation that is done here.
What is the force between the charges?We know that the force can be obtained by the use of the Coulomb's law. From the Coulomb's law, we know that the force that acts for the charges on the charges must be an attractive force as we can see and then we can be able able to use the formula;
F = K[tex]q_{1}[/tex][tex]q_{2}[/tex]/r^2
F = force on the object
K = electric constant
[tex]q_{1}[/tex] and [tex]q_{2}[/tex] = magnitude of the charges on the object.
Then we have;
F = 9 * 10^9 * 2 × 10^–7 * 3 × 10^–7 /(30 * 10^-2)^2
F = 54 * 10^ -5/0.09
F = 0.006 N
Thus, it is clear that we have an attractive force that would act on the species and the magnitude of the charged spheres 0.006 N as we can see from the calculation here.
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A woman is carrying a bag of apples around the grocery store. When she wasn't looking, a researcher added an apple to the bag and then examined if she noticed anything. The researcher is interested in looking at the __________________ threshold.
The biological approach examines psychological difficulties by investigating the physical basis for animal and human behavior.
It is a key perspective in psychology that entails researching the brain, immunological system, neurological system, and genetics. Data refers to the observations and measurements made during an experiment. Data collection is an essential aspect of the scientific process because it allows the experimenter to keep track of what is going on during the experiment. This branch of psychology is sometimes known as biopsychology or physiological psychology. Studying the physical basis for animal and human behavior provides a new perspective on psychological concerns. by investigating the physical basis for animal and human behavior.
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Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P
E1 =(10.0μV/m)sin[(2.0×10^14rad/s)t]
E2 =(5.00μV/m)sin[(2.0×10^14rad/s)t+45.0∘]
E3 =(5.00μV/m)sin[(2.0×10^14rad/s)t−45.0∘]
Their resultant at point P is 17.07μV/m.
What is electromagnetic waves?Electromagnetic waves are a type of energy wave that has both electric and magnetic field components. They are created by the movement of electrically charged particles and travel through space at the speed of light. Electromagnetic waves can be used for communication, radiation, and other purposes. They are also responsible for the electromagnetic spectrum, which ranges from high-energy gamma rays to low-energy radio waves. Electromagnetic waves are used in a variety of applications, such as radio and television broadcasts, cellular phone communications, and radar. They can also be used to diagnose medical conditions and to detect objects in space. Electromagnetic waves are used in scientific research and are important in the understanding of the universe.
The amplitude of first wave,a1 = 10.0μV/m
The amplitude of second wave, a2 = 5.00μV/m
The amplitude of third wave, a3 = 5.00μV/m
Phase angle of first wave, θ1 = 0°
Phase angle of second wave, θ2 = 45°
Phase angle of third wave , θ3 = -45°
Their resultant at point P is given by ,
R = a1 Cosθ1 + a2 Cos θ2 + a3 Cosθ3
= 10 * Cos0 + 5 * Cos(45) + 5 * Cos(-45)
=17.07μV/m
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the drawing shows two perpendicular, long, straight wires, both of which lie in the plane of the paper. the current in each of the wires is i
The magnitudes of gross magnetic fields at sites A and B are 2.66 x T, and the magnetic field there is identical because the distance between the two wires is equal. Using the right-hand rule as a guide
What do magnitudes mean in physics?The simplest definition of magnitude in physics is "distance or quantity." In either a relative or absolute meaning, it displays the size or motion of an object. It serves as a technique to convey the size or breadth of something.
What is an illustration of magnitude?Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. In terms of motion, it describes the absolute or relative size or direction that an item goes.
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15. The Stanford-Binet test was used during World War 1 to identify individuals for officer status.
True
False
Answer:
True.
Explanation:
The Stanford-Binet test was developed by Alfred Binet and Theodore Simon in 1905 to measure intelligence. It was first used during World War I to identify individuals for officer status in the United States Army. The test was later revised and is still used today as an intelligence test for children and adults.
A ball having a mass of 350 g is thrown against the wall at a rate of 2 m/s. The ball then bounces at the same rate in the exact opposite direction of the direction of coming. Suppose a process Bounce lasts for 0.01 seconds. Calculate the force Done wall to reverse the direction of the ball.
The force on the wall by a ball having a mass of 350 g is 140N.
What is force?Force is the product of mass and acceleration.
To calculate the force on the wall, we use the formula below.
Formula:
F = m(v-u)/t.................. Equation 1Where:
F = Forcem = Massv = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
m = 350 g = 0.35 kgu = -2 m/s v = 2 m/st = 0.01 sSubstitute these values into equation 1
F = 0.35(2-[-2])/0.01F = 0.35×4/0.01F = 140 NHence, the force on the wall is 140N.
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the critical angle of oil is 28.8 what is the refractive index
The light beam shown in the figure below makes an angle of ϕ=28.8∘ ϕ = 28.8 ∘ with the normal line NN' in the linseed oil. Determine the angles θ and θ′ . (The refractive index for linseed oil is 1.48.)
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three different forces are shown pulling on a heavy trapdoor. which force will have the biggest turning effect
The force that will have the biggest turning effect on the heavy trapdoor is the one that is applied the furthest from the pivot point, or the point around which the trapdoor rotates.
How does Force have effect on Heavy Trapdoor?The farther a force is from the pivot point, the greater the lever arm is, and the greater the turning effect it will have. For example, if there is a force being applied to the edge of the trapdoor, it will have a larger turning effect than a force being applied closer to the pivot point. Similarly, a force being applied to the top of the trapdoor will have a larger turning effect than a force being applied to the bottom.
It's also important to consider the magnitude of the forces being applied. If one force is much larger than the others, it will have a greater turning effect, even if it is applied closer to the pivot point.
It's worth noting that the forces acting on the trapdoor may be balanced, meaning that they cancel each other out and do not cause the trapdoor to rotate. In this case, the trapdoor will remain in its current position.
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Which image shows an object or objects moving with accelerated motion?
An image which shows an object or objects moving with accelerated motion is: A. image A.
What is an acceleration?In Science, an acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.
How to calculate the acceleration of an object?Mathematically, the acceleration of a physical object or body can be calculated by using this formula:
a = (V - U)/t
Where:
a represents the acceleration.V represents the final velocity.U represents the initial velocity.t represents the time measured in seconds.Generally speaking, a physical object would experience an accelerated motion when the rate of change of velocity with respect to time throughout the motion is uniform and in a straight line.
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What is the displacement illustrated?
What is the distance illustrated?
start/finish
2m
4m
4m
2m
(a) The displacement of the person as illustrated is 0 m.
(b) The distance travelled by the person is determined as 12 m.
What is the displacement of the person?
The displacement of the person as illustrated is the change in the position of the person.
Mathematically, the formula for displacement of an person is given as;
Δx = xf - xi
where;
xf is the final position of the personxi is the initial position of the personΔx = (2 m + 4m ) - ( 4m + 2m ) = 0
The total distance travelled by the person is calculated as;
d = 2 m + 4 m + 4 m + 2 m
d = 12 m
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A 0.16 kg plastic ball moves with a velocity of 0.42 m/s. It collides with a second plastic ball of mass 0.017 kg, which is moving along the same line at a speed of 0.18 m/s. After the collision, both balls continue moving in the same, original direction. The speed of the 0.017 kg ball is 0.41 m/s. What is the new velocity of the 0.16 kg ball?
Answer:
0.3949 m/s
Explanation :)
In this scenario, we can use the conservation of momentum to determine the new velocity of the 0.16 kg ball after the collision. The conservation of momentum states that the total momentum of a system of objects remains constant if there are no external forces acting on the objects. In this case, the two balls are the only objects involved in the collision, so we can use the conservation of momentum to determine the new velocity of the 0.16 kg ball.
We can start by calculating the total initial momentum of the two balls before the collision. The momentum of an object is equal to its mass multiplied by its velocity, so the initial momentum of the 0.16 kg ball would be 0.16 kg * 0.42 m/s = 0.0672 kgm/s. The initial momentum of the 0.017 kg ball would be 0.017 kg * 0.18 m/s = 0.00306 kgm/s. The total initial momentum of the system would be the sum of the two balls' initial momenta, or 0.0672 kgm/s + 0.00306 kgm/s = 0.07026 kg*m/s.
After the collision, the two balls continue moving in the same direction, so their final momenta must also be in the same direction. Since the momentum of the system must remain constant, the final momentum of the 0.16 kg ball must be equal to the initial momentum of the system minus the final momentum of the 0.017 kg ball. We know that the final momentum of the 0.017 kg ball is 0.017 kg * 0.41 m/s = 0.00707 kgm/s, so the final momentum of the 0.16 kg ball must be 0.07026 kgm/s - 0.00707 kgm/s = 0.06319 kgm/s.
To find the new velocity of the 0.16 kg ball, we can divide its final momentum by its mass. This gives us 0.06319 kg*m/s / 0.16 kg = 0.3949 m/s. Therefore, the new velocity of the 0.16 kg ball after the collision is 0.3949 m/s.